|\^/| 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 1 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y[1]) < min_size then min_size := omniabs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y(ind_var); > omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) then # if number 4 > glob_good_digits := -trunc(log10(relerr)) + 2; > else > glob_good_digits := Digits; > fi;# end if 4; > else > relerr := -1.0 ; > glob_good_digits := -1; > fi;# end if 3; > if (glob_iter = 1) then # if number 3 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 3; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ") > ; > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > fi;# end if 2; > #BOTTOM DISPLAY ALOT > fi;# end if 1; > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y(ind_var); omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 0.1*10^(-33) < relerr then glob_good_digits := -trunc(log10(relerr)) + 2 else glob_good_digits := Digits end if else relerr := -1.0; glob_good_digits := -1 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end if end proc > # End Function number 7 > # Begin Function number 8 > adjust_for_pole := proc(h_param) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, 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) or (omniabs(array_y_higher[1,m-1]) < glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2; > if (m > 10) then # if number 1 > rm0 := array_y_higher[1,m]/array_y_higher[1,m-1]; > rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2]; > hdrc := convfloat(m-1)*rm0-convfloat(m-2)*rm1; > if (omniabs(hdrc) > glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := convfloat(m-1)*rm0/hdrc - convfloat(m) + 2.0; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1; > #BOTTOM RADII REAL EQ = 1 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (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 := false; > #TOP WHICH RADII EQ = 1 > if ( not found and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found := true; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found := true; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 3; > fi;# end if 2; > if ( not found and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found := true; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found := true; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if ( not found ) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE"); > fi;# end if 3; > fi;# end if 2; > #BOTTOM WHICH RADII EQ = 1 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if (array_pole[1] > array_poles[1,1]) then # if number 2 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 2; > #BOTTOM WHICH RADIUS EQ = 1 > #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, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found, 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and (omniabs(array_y_higher[1, m]) < glob_small_float or omniabs(array_y_higher[1, m - 1]) < glob_small_float or omniabs(array_y_higher[1, m - 2]) < glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; hdrc := convfloat(m - 1)*rm0 - convfloat(m - 2)*rm1; if glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := convfloat(m - 1)*rm0/hdrc - convfloat(m) + 2.0; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < 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 := false; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found := true; array_type_pole[1] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if end if; if not found and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used") end if end if end if; if not found and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found := true; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if end if; if not found and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and 0. < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found := true; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used") end if end if end if; if not found and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found := true; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used") end if end if end if; if not found then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 2 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 3; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 2; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y[iii]) then array_norms[iii] := omniabs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D2[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_0D3[1]; > #emit pre expt CONST - LINEAR $eq_no = 1 i = 1 > array_tmp3[1] := expt(array_const_2D0[1] , array_tmp2[1]); > array_tmp3_c1[1] := ln(array_const_2D0[1]); > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y_set_initial[1,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D2[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre expt CONST LINEAR $eq_no = 1 iii = 2 > array_tmp3[2] := array_tmp3_c1[1] * array_tmp3[1] * array_tmp2[2] / (1); > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp4[2] := array_tmp3[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y_set_initial[1,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[2] * expt(glob_h , (1)) * factorial_3(1,2); > array_y[3] := temporary; > array_y_higher[1,3] := temporary; > temporary := temporary / glob_h * (2.0); > array_y_higher[2,2] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 3; > #END ATOMHDR2 > #BEGIN ATOMHDR3 > #emit pre expt CONST LINEAR $eq_no = 1 iii = 3 > array_tmp3[3] := array_tmp3_c1[1] * array_tmp3[2] * array_tmp2[2] / (2); > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp4[3] := array_tmp3[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y_set_initial[1,4]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[3] * expt(glob_h , (1)) * factorial_3(2,3); > array_y[4] := temporary; > array_y_higher[1,4] := temporary; > temporary := temporary / glob_h * (3.0); > array_y_higher[2,3] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 4; > #END ATOMHDR3 > #BEGIN ATOMHDR4 > #emit pre expt CONST LINEAR $eq_no = 1 iii = 4 > array_tmp3[4] := array_tmp3_c1[1] * array_tmp3[3] * array_tmp2[2] / (3); > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp4[4] := array_tmp3[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y_set_initial[1,5]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[4] * expt(glob_h , (1)) * factorial_3(3,4); > array_y[5] := temporary; > array_y_higher[1,5] := temporary; > temporary := temporary / glob_h * (4.0); > array_y_higher[2,4] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 5; > #END ATOMHDR4 > #BEGIN ATOMHDR5 > #emit pre expt CONST LINEAR $eq_no = 1 iii = 5 > array_tmp3[5] := array_tmp3_c1[1] * array_tmp3[4] * array_tmp2[2] / (4); > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp4[5] := array_tmp3[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y_set_initial[1,6]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp4[5] * expt(glob_h , (1)) * factorial_3(4,5); > array_y[6] := temporary; > array_y_higher[1,6] := temporary; > temporary := temporary / glob_h * (5.0); > array_y_higher[2,5] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 6; > #END ATOMHDR5 > #BEGIN OUTFILE3 > #Top Atomall While Loop-- outfile3 > while (kkk <= glob_max_terms) do # do number 1 > #END OUTFILE3 > #BEGIN OUTFILE4 > #emit expt CONST LINEAR (NOP) $eq_no = 1 i = 1 > array_tmp3[kkk] := array_tmp3_c1[1] * array_tmp3[kkk - 1] * array_tmp2[2] / (kkk - 1); > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp4[kkk] := array_tmp3[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp4[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y[kkk + order_d] := temporary; > array_y_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 1; > adj3 := 2; > while (term >= 1) do # do number 2 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 0) then # if number 4 > temporary := temporary / glob_h * convfp(adj2); > else > temporary := temporary; > fi;# end if 4; > array_y_higher[adj3,term] := temporary; > fi;# end if 3; > term := term - 1; > adj2 := adj2 - 1; > adj3 := adj3 + 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1; > kkk := kkk + 1; > od;# end do number 1; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > #BOTTOM ATOMALL ??? > end; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_const_0D2[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_0D3[1]; array_tmp3[1] := expt(array_const_2D0[1], array_tmp2[1]); array_tmp3_c1[1] := ln(array_const_2D0[1]); array_tmp4[1] := array_const_0D0[1] + array_tmp3[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp4[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_0D2[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := array_tmp3_c1[1]*array_tmp3[1]*array_tmp2[2]; array_tmp4[2] := array_tmp3[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp4[2]*expt(glob_h, 1)*factorial_3(1, 2); array_y[3] := temporary; array_y_higher[1, 3] := temporary; temporary := temporary*2.0/glob_h; array_y_higher[2, 2] := temporary end if end if; kkk := 3; array_tmp3[3] := 1/2*array_tmp3_c1[1]*array_tmp3[2]*array_tmp2[2]; array_tmp4[3] := array_tmp3[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp4[3]*expt(glob_h, 1)*factorial_3(2, 3); array_y[4] := temporary; array_y_higher[1, 4] := temporary; temporary := temporary*3.0/glob_h; array_y_higher[2, 3] := temporary end if end if; kkk := 4; array_tmp3[4] := 1/3*array_tmp3_c1[1]*array_tmp3[3]*array_tmp2[2]; array_tmp4[4] := array_tmp3[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp4[4]*expt(glob_h, 1)*factorial_3(3, 4); array_y[5] := temporary; array_y_higher[1, 5] := temporary; temporary := temporary*4.0/glob_h; array_y_higher[2, 4] := temporary end if end if; kkk := 5; array_tmp3[5] := 1/4*array_tmp3_c1[1]*array_tmp3[4]*array_tmp2[2]; array_tmp4[5] := array_tmp3[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp4[5]*expt(glob_h, 1)*factorial_3(4, 5); array_y[6] := temporary; array_y_higher[1, 6] := temporary; temporary := temporary*5.0/glob_h; array_y_higher[2, 5] := temporary end if end if; kkk := 6; while kkk <= glob_max_terms do array_tmp3[kkk] := array_tmp3_c1[1]*array_tmp3[kkk - 1]*array_tmp2[2]/(kkk - 1); array_tmp4[kkk] := array_tmp3[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp4[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_y[kkk + order_d] := temporary; array_y_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := kkk + order_d - 1; adj3 := 2; while 1 <= term do if adj3 <= order_d + 1 then if 0 < adj2 then temporary := temporary*convfp(adj2)/glob_h else temporary := temporary end if; array_y_higher[adj3, term] := temporary end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; kkk := kkk + 1 end do end proc > # End Function number 12 > #BEGIN ATS LIBRARY BLOCK > # Begin Function number 2 > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s\n",str); > fi;# end if 1; > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > # End Function number 2 > # Begin Function number 3 > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s",str); > fi;# end if 1; > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > # End Function number 3 > # Begin Function number 4 > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > print(label,str); > fi;# end if 1; > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > # End Function number 4 > # Begin Function number 5 > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 5 > # Begin Function number 6 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > if vallen = 5 then # if number 1 > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 6 > # Begin Function number 7 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > print(prelabel,"[",elemnt,"]",value, postlabel); > fi;# end if 0; > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > # End Function number 7 > # Begin Function number 8 > dump_series := proc(iolevel,dump_label,series_name,arr_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then # if number 0 > i := 1; > while (i <= numb) do # do number 1 > print(dump_label,series_name > ,i,arr_series[i]); > i := i + 1; > od;# end do number 1 > fi;# end if 0 > end; dump_series := proc(iolevel, dump_label, series_name, arr_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, arr_series[i]); i := i + 1 end do end if end proc > # End Function number 8 > # Begin Function number 9 > dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then # if number 0 > sub := 1; > while (sub <= subnum) do # do number 1 > i := 1; > while (i <= numb) do # do number 2 > print(dump_label,series_name2,sub,i,arr_series2[sub,i]); > od;# end do number 2; > sub := sub + 1; > od;# end do number 1; > fi;# end if 0; > end; dump_series_2 := proc( iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, arr_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > # End Function number 9 > # Begin Function number 10 > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then # if number 0 > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi;# end if 0; > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # End Function number 10 > # Begin Function number 11 > logitem_time := proc(fd,secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > fprintf(fd,""); > if (secs_in >= 0) then # if number 0 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 1 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 2 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 3 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 4 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 4 > else > fprintf(fd," Unknown"); > fi;# end if 3 > fprintf(fd,"\n"); > end; logitem_time := proc(fd, secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; fprintf(fd, ""); if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, " Unknown") end if; fprintf(fd, "\n") end proc > # End Function number 11 > # Begin Function number 12 > omniout_timestr := proc(secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > if (secs_in >= 0) then # if number 3 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 4 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 5 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 6 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 7 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 7 > else > printf(" Unknown\n"); > fi;# end if 6 > end; omniout_timestr := proc(secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > # End Function number 12 > # Begin Function number 13 > ats := proc(mmm_ats,arr_a,arr_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 6 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 6; > ret_ats; > end; ats := proc(mmm_ats, arr_a, arr_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > # End Function number 13 > # Begin Function number 14 > att := proc(mmm_att,arr_aa,arr_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 6 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 7 > ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att); > fi;# end if 7; > iii_att := iii_att + 1; > od;# end do number 1; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 6; > ret_att; > end; att := proc(mmm_att, arr_aa, arr_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # End Function number 14 > # Begin Function number 15 > display_pole := 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 15 > # Begin Function number 16 > 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 16 > # Begin Function number 17 > 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 17 > # Begin Function number 18 > 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 18 > # Begin Function number 19 > 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 19 > # Begin Function number 20 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 20 > # Begin Function number 21 > 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 21 > # Begin Function number 22 > 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 22 > # Begin Function number 23 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 23 > # Begin Function number 24 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc > # End Function number 24 > # Begin Function number 25 > 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 25 > # Begin Function number 26 > 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 26 > # Begin Function number 27 > 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 27 > # Begin Function number 28 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 28 > # Begin Function number 29 > 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 29 > # Begin Function number 30 > 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 30 > # Begin Function number 31 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 31 > # Begin Function number 32 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 33 > # Begin Function number 34 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 34 > # Begin Function number 35 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 35 > # Begin Function number 36 > 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 36 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(7.2134752044448170367996234050095*expt(2.0,(0.2*x+0.3))); > end; exact_soln_y := proc(x) return 7.2134752044448170367996234050095*expt(2.0, 0.2*x + 0.3) 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, log10norm, 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_log10normmin, > 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_hmax, > glob_hmin, > glob_hmin_init, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_log10_abserr, > glob_log10_relerr, > 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_log10abserr, > glob_log10relerr, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_2D0, > array_const_0D2, > array_const_0D3, > #END CONST > array_y_init, > array_norms, > array_fact_1, > array_pole, > array_1st_rel_error, > array_last_rel_error, > array_type_pole, > array_y, > array_x, > array_tmp0, > array_tmp1, > array_tmp2, > array_tmp3_c1, > array_tmp3_a1, > array_tmp3_a2, > array_tmp3, > array_tmp4, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_log10normmin := 0.1; > 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_hmax := 1.0; > glob_hmin := 0.00000000001; > glob_hmin_init := 0.001; > 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_log10_abserr := 0.1e-10; > glob_log10_relerr := 0.1e-10; > 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-50; > 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_log10abserr := 0.0; > glob_log10relerr := 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_linpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"Digits:=32;"); > omniout_str(ALWAYS,"max_terms:=30;"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#END FIRST INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"x_start := 1.0;"); > omniout_str(ALWAYS,"## did poorly with x_start := -5.0;"); > omniout_str(ALWAYS,"x_end := 5.0 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_h := 0.000001;"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000000;"); > omniout_str(ALWAYS,"glob_display_interval := 0.1;"); > omniout_str(ALWAYS,"glob_max_minutes := 10;"); > omniout_str(ALWAYS,"#END SECOND INPUT BLOCK"); > omniout_str(ALWAYS,"#BEGIN OVERRIDE BLOCK"); > omniout_str(ALWAYS,"glob_desired_digits_correct:=10;"); > omniout_str(ALWAYS,"glob_display_interval:=0.001;"); > omniout_str(ALWAYS,"glob_look_poles:=true;"); > omniout_str(ALWAYS,"glob_max_iter:=10000000;"); > omniout_str(ALWAYS,"glob_max_minutes:=3;"); > omniout_str(ALWAYS,"glob_subiter_method:=3;"); > omniout_str(ALWAYS,"#END OVERRIDE BLOCK"); > omniout_str(ALWAYS,"!"); > omniout_str(ALWAYS,"#BEGIN USER DEF BLOCK"); > omniout_str(ALWAYS,"exact_soln_y := proc(x)"); > omniout_str(ALWAYS,"return(7.2134752044448170367996234050095*expt(2.0,(0.2*x+0.3)));"); > 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; > glob_log10_abserr := -8.0; > glob_log10_relerr := -8.0; > glob_hmax := 0.01; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > Digits:=32; > max_terms:=30; > #END FIRST INPUT BLOCK > #START OF INITS AFTER INPUT BLOCK > glob_max_terms := max_terms; > glob_html_log := true; > #END OF INITS AFTER INPUT BLOCK > array_y_init:= Array(0..(max_terms + 1),[]); > array_norms:= Array(0..(max_terms + 1),[]); > array_fact_1:= Array(0..(max_terms + 1),[]); > array_pole:= Array(0..(max_terms + 1),[]); > array_1st_rel_error:= Array(0..(max_terms + 1),[]); > array_last_rel_error:= Array(0..(max_terms + 1),[]); > array_type_pole:= Array(0..(max_terms + 1),[]); > array_y:= Array(0..(max_terms + 1),[]); > array_x:= Array(0..(max_terms + 1),[]); > array_tmp0:= Array(0..(max_terms + 1),[]); > array_tmp1:= Array(0..(max_terms + 1),[]); > array_tmp2:= Array(0..(max_terms + 1),[]); > array_tmp3_c1:= Array(0..(max_terms + 1),[]); > array_tmp3_a1:= Array(0..(max_terms + 1),[]); > array_tmp3_a2:= Array(0..(max_terms + 1),[]); > array_tmp3:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3_c1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_higher_work2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=2) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_y_set_initial[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_poles[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_real_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=1) do # do number 2 > term := 1; > while (term <= 3) do # do number 3 > array_complex_pole[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > ord := 1; > while (ord <=max_terms) do # do number 2 > term := 1; > while (term <= max_terms) do # do number 3 > array_fact_2[ord,term] := 0.0; > term := term + 1; > od;# end do number 3; > ord := ord + 1; > od;# end do number 2; > #BEGIN ARRAYS DEFINED AND INITIALIZATED > array_y := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_x := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3_c1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_c1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3_a1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_a1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3_a2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3_a2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_2D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_2D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_2D0[1] := 2.0; > array_const_0D2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D2[1] := 0.2; > array_const_0D3 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D3[1] := 0.3; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1[1] := -1.0; > #END ARRAYS DEFINED AND INITIALIZATED > #Initing Factorial Tables > iiif := 0; > while (iiif <= glob_max_terms) do # do number 2 > jjjf := 0; > while (jjjf <= glob_max_terms) do # do number 3 > array_fact_1[iiif] := 0; > array_fact_2[iiif,jjjf] := 0; > jjjf := jjjf + 1; > od;# end do number 3; > iiif := iiif + 1; > od;# end do number 2; > #Done Initing Factorial Tables > #TOP SECOND INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > #END FIRST INPUT BLOCK > #BEGIN SECOND INPUT BLOCK > x_start := 1.0; > ## did poorly with x_start := -5.0; > x_end := 5.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > glob_h := 0.000001; > glob_look_poles := true; > glob_max_iter := 1000000; > glob_display_interval := 0.1; > glob_max_minutes := 10; > #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); > glob_abserr := expt(10.0 , (glob_log10_abserr)); > glob_relerr := expt(10.0 , (glob_log10_relerr)); > 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; > 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_log10normmin := -glob_large_float ; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 3 > tmp := omniabs(array_y_higher[1,1]); > log10norm := (log10(tmp)); > if (log10norm < glob_log10normmin) then # if number 4 > glob_log10normmin := log10norm; > fi;# end if 4 > fi;# end if 3; > display_alot(current_iter) > ; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and ((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 , (0.2 * x + 0.3));"); > 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,"2013-01-12T22:40:34-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"expt_c_lin") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));") > ; > 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," 156 ") > ; > logitem_str(html_log_file,"expt_c_lin diffeq.mxt") > ; > logitem_str(html_log_file,"expt_c_lin maple results") > ; > logitem_str(html_log_file,"Languages compared - single equations") > ; > 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, log10norm, 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_log10normmin, 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_hmax, glob_hmin, glob_hmin_init, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_log10_abserr, glob_log10_relerr, 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_log10abserr, glob_log10relerr, glob_max_minutes, array_const_1, array_const_0D0, array_const_2D0, array_const_0D2, array_const_0D3, array_y_init, array_norms, array_fact_1, array_pole, array_1st_rel_error, array_last_rel_error, array_type_pole, array_y, array_x, array_tmp0, array_tmp1, array_tmp2, array_tmp3_c1, array_tmp3_a1, array_tmp3_a2, array_tmp3, array_tmp4, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_log10normmin := 0.1; 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_hmax := 1.0; glob_hmin := 0.1*10^(-10); glob_hmin_init := 0.001; 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_log10_abserr := 0.1*10^(-10); glob_log10_relerr := 0.1*10^(-10); 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^(-50); 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_log10abserr := 0.; glob_log10relerr := 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_linpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN FIRST INPUT BLOCK"); omniout_str(ALWAYS, "Digits:=32;"); omniout_str(ALWAYS, "max_terms:=30;"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#END FIRST INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN SECOND INPUT BLOCK"); omniout_str(ALWAYS, "x_start := 1.0;"); omniout_str(ALWAYS, "## did poorly with x_start := -5.0;"); omniout_str(ALWAYS, "x_end := 5.0 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_h := 0.000001;"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000000;"); omniout_str(ALWAYS, "glob_display_interval := 0.1;"); omniout_str(ALWAYS, "glob_max_minutes := 10;"); omniout_str(ALWAYS, "#END SECOND INPUT BLOCK"); omniout_str(ALWAYS, "#BEGIN OVERRIDE BLOCK"); omniout_str(ALWAYS, "glob_desired_digits_correct:=10;"); omniout_str(ALWAYS, "glob_display_interval:=0.001;"); omniout_str(ALWAYS, "glob_look_poles:=true;"); omniout_str(ALWAYS, "glob_max_iter:=10000000;"); omniout_str(ALWAYS, "glob_max_minutes:=3;"); omniout_str(ALWAYS, "glob_subiter_method:=3;"); omniout_str(ALWAYS, "#END OVERRIDE BLOCK"); omniout_str(ALWAYS, "!"); omniout_str(ALWAYS, "#BEGIN USER DEF BLOCK"); omniout_str(ALWAYS, "exact_soln_y := proc(x)"); omniout_str(ALWAYS, "return(7.2134752044448170367996234050095*expt(2.0,(0.2*x+0.3)));") ; 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; glob_log10_abserr := -8.0; glob_log10_relerr := -8.0; glob_hmax := 0.01; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y_init := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3_c1 := Array(0 .. max_terms + 1, []); array_tmp3_a1 := Array(0 .. max_terms + 1, []); array_tmp3_a2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_y_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3_c1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3_a1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3_a2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_m1[term] := 0.; term := term + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_higher_work2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 2 do term := 1; while term <= max_terms do array_y_set_initial[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_poles[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_real_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= 1 do term := 1; while term <= 3 do array_complex_pole[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; ord := 1; while ord <= max_terms do term := 1; while term <= max_terms do array_fact_2[ord, term] := 0.; term := term + 1 end do; ord := ord + 1 end do; array_y := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_y[term] := 0.; term := term + 1 end do; array_x := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_x[term] := 0.; term := term + 1 end do; array_tmp0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp0[term] := 0.; term := term + 1 end do; array_tmp1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp1[term] := 0.; term := term + 1 end do; array_tmp2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp2[term] := 0.; term := term + 1 end do; array_tmp3_c1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_c1[term] := 0.; term := term + 1 end do; array_tmp3_a1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_a1[term] := 0.; term := term + 1 end do; array_tmp3_a2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3_a2[term] := 0.; term := term + 1 end do; array_tmp3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_2D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_2D0[term] := 0.; term := term + 1 end do; array_const_2D0[1] := 2.0; array_const_0D2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D2[term] := 0.; term := term + 1 end do; array_const_0D2[1] := 0.2; array_const_0D3 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D3[term] := 0.; term := term + 1 end do; array_const_0D3[1] := 0.3; 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 := 1.0; x_end := 5.0; array_y_init[1] := exact_soln_y(x_start); glob_h := 0.1*10^(-5); glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; 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); glob_abserr := expt(10.0, glob_log10_abserr); glob_relerr := expt(10.0, glob_log10_relerr); 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; 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_log10normmin := -glob_large_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); log10norm := log10(tmp); if log10norm < glob_log10normmin then glob_log10normmin := log10norm end if end if; display_alot(current_iter); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and 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 , (0.2 * x + 0.3));"); 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, "2013-01-12T22:40:34-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "expt_c_lin"); logitem_str(html_log_file, "diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3));"); 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, " 156 "); logitem_str(html_log_file, "expt_c_lin diffeq.mxt"); logitem_str(html_log_file, "expt_c_lin maple results"); logitem_str(html_log_file, "Languages compared - single equations"); 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_linpostode.ode################# diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3)); ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 1.0; ## did poorly with x_start := -5.0; x_end := 5.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); glob_h := 0.000001; glob_look_poles := true; glob_max_iter := 1000000; glob_display_interval := 0.1; glob_max_minutes := 10; #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK glob_desired_digits_correct:=10; glob_display_interval:=0.001; glob_look_poles:=true; glob_max_iter:=10000000; glob_max_minutes:=3; glob_subiter_method:=3; #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK exact_soln_y := proc(x) return(7.2134752044448170367996234050095*expt(2.0,(0.2*x+0.3))); 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 = 4 estimated_steps = 4000 step_error = 2.5000000000000000000000000000000e-14 est_needed_step_err = 2.5000000000000000000000000000000e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 1.2339100561909091093220122426948e-126 max_value3 = 1.2339100561909091093220122426948e-126 value3 = 1.2339100561909091093220122426948e-126 best_h = 0.001 START of Soultion x[1] = 1 y[1] (analytic) = 10.201394465967894817482791055323 y[1] (numeric) = 10.201394465967894817482791055323 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 TOP MAIN SOLVE Loop x[1] = 1 y[1] (analytic) = 10.201394465967894817482791055323 y[1] (numeric) = 10.201394465967894817482791055323 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.001 y[1] (analytic) = 10.20280877756061217083576549917 y[1] (numeric) = 10.202808777560612170835765499171 absolute error = 1e-30 relative error = 9.8012226025379829893823178283814e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.002 y[1] (analytic) = 10.204223285232138942613981320443 y[1] (numeric) = 10.204223285232138942613981320444 absolute error = 1e-30 relative error = 9.7998639587515719421906539587199e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.003 y[1] (analytic) = 10.205637989009659311820792445684 y[1] (numeric) = 10.205637989009659311820792445685 absolute error = 1e-30 relative error = 9.7985055033001281954413122814245e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.004 y[1] (analytic) = 10.207052888920361226248185689512 y[1] (numeric) = 10.207052888920361226248185689514 absolute error = 2e-30 relative error = 1.9594294472315089576911383748929e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.005 y[1] (analytic) = 10.208467984991436402999282013817 y[1] (numeric) = 10.208467984991436402999282013819 absolute error = 2e-30 relative error = 1.9591578314595436758995155042451e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.006 y[1] (analytic) = 10.209883277250080329010910226025 y[1] (numeric) = 10.209883277250080329010910226027 absolute error = 2e-30 relative error = 1.9588862533389098490542965082583e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.007 y[1] (analytic) = 10.21129876572349226157625312649 y[1] (numeric) = 10.211298765723492261576253126492 absolute error = 2e-30 relative error = 1.9586147128643882560842122321691e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.008 y[1] (analytic) = 10.212714450438875228867566115042 y[1] (numeric) = 10.212714450438875228867566115044 absolute error = 2e-30 relative error = 1.9583432100307603994055180826144e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.009 y[1] (analytic) = 10.214130331423436030458968266749 y[1] (numeric) = 10.214130331423436030458968266751 absolute error = 2e-30 relative error = 1.9580717448328085048217043117806e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (analytic) = 10.215546408704385237849305886931 y[1] (numeric) = 10.215546408704385237849305886933 absolute error = 2e-30 relative error = 1.9578003172653155214232202036974e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.011 y[1] (analytic) = 10.216962682308937194985088555481 y[1] (numeric) = 10.216962682308937194985088555483 absolute error = 2e-30 relative error = 1.9575289273230651214872121607461e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.012 y[1] (analytic) = 10.218379152264310018783497670538 y[1] (numeric) = 10.21837915226431001878349767054 absolute error = 2e-30 relative error = 1.9572575750008417003772756884586e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.013 y[1] (analytic) = 10.219795818597725599655467501568 y[1] (numeric) = 10.219795818597725599655467501569 absolute error = 1e-30 relative error = 9.7849313014671518822161063833879e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.014 y[1] (analytic) = 10.221212681336409602028838761895 y[1] (numeric) = 10.221212681336409602028838761897 absolute error = 2e-30 relative error = 1.9567149831956169909208541751547e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.015 y[1] (analytic) = 10.222629740507591464871584710761 y[1] (numeric) = 10.222629740507591464871584710762 absolute error = 1e-30 relative error = 9.7822187185109405391588403082803e-30 % Correct digits = 31 h = 0.001 NO POLE memory used=3.8MB, alloc=2.9MB, time=0.15 TOP MAIN SOLVE Loop x[1] = 1.016 y[1] (analytic) = 10.224046996138504402215109794931 y[1] (numeric) = 10.224046996138504402215109794933 absolute error = 2e-30 relative error = 1.9561725418079310138831526006560e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.017 y[1] (analytic) = 10.225464448256385403677620839944 y[1] (numeric) = 10.225464448256385403677620839946 absolute error = 2e-30 relative error = 1.9559013775076337183676148906860e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.018 y[1] (analytic) = 10.22688209688847523498757080103 y[1] (numeric) = 10.226882096888475234987570801032 absolute error = 2e-30 relative error = 1.9556302507960849530630147984202e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.019 y[1] (analytic) = 10.228299942062018438507175083776 y[1] (numeric) = 10.228299942062018438507175083778 absolute error = 2e-30 relative error = 1.9553591616680741721323141775680e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.02 y[1] (analytic) = 10.229717983804263333756000444598 y[1] (numeric) = 10.2297179838042633337560004446 absolute error = 2e-30 relative error = 1.9550881101183915520234399706513e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.021 y[1] (analytic) = 10.231136222142462017934626481071 y[1] (numeric) = 10.231136222142462017934626481073 absolute error = 2e-30 relative error = 1.9548170961418279913691611917410e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.022 y[1] (analytic) = 10.232554657103870366448379722194 y[1] (numeric) = 10.232554657103870366448379722196 absolute error = 2e-30 relative error = 1.9545461197331751108869797882291e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.023 y[1] (analytic) = 10.233973288715748033431140328647 y[1] (numeric) = 10.23397328871574803343114032865 absolute error = 3e-30 relative error = 2.9314127713308378799185530695685e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.024 y[1] (analytic) = 10.235392117005358452269221413112 y[1] (numeric) = 10.235392117005358452269221413115 absolute error = 3e-30 relative error = 2.9310064193981572246980358080943e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.025 y[1] (analytic) = 10.236811141999968836125320990717 y[1] (numeric) = 10.23681114199996883612532099072 absolute error = 3e-30 relative error = 2.9306001237939113802256949171472e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.026 y[1] (analytic) = 10.238230363726850178462546569684 y[1] (numeric) = 10.238230363726850178462546569687 absolute error = 3e-30 relative error = 2.9301938845102921085849601143863e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.027 y[1] (analytic) = 10.239649782213277253568512392244 y[1] (numeric) = 10.239649782213277253568512392246 absolute error = 2e-30 relative error = 1.9531918010263281694905694386982e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.028 y[1] (analytic) = 10.241069397486528617079509335891 y[1] (numeric) = 10.241069397486528617079509335893 absolute error = 2e-30 relative error = 1.9529210499158038292433026602201e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.029 y[1] (analytic) = 10.242489209573886606504747485058 y[1] (numeric) = 10.24248920957388660650474748506 absolute error = 2e-30 relative error = 1.9526503363367517241569151194304e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.03 y[1] (analytic) = 10.243909218502637341750671383274 y[1] (numeric) = 10.243909218502637341750671383276 absolute error = 2e-30 relative error = 1.9523796602839692480245081035612e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.031 y[1] (analytic) = 10.245329424300070725645347975893 y[1] (numeric) = 10.245329424300070725645347975895 absolute error = 2e-30 relative error = 1.9521090217522545158235578283483e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.032 y[1] (analytic) = 10.246749826993480444462927253465 y[1] (numeric) = 10.246749826993480444462927253467 absolute error = 2e-30 relative error = 1.9518384207364063636159449843868e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.033 y[1] (analytic) = 10.248170426610163968448175605828 y[1] (numeric) = 10.24817042661016396844817560583 absolute error = 2e-30 relative error = 1.9515678572312243484479981413732e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.034 y[1] (analytic) = 10.249591223177422552341081897011 y[1] (numeric) = 10.249591223177422552341081897012 absolute error = 1e-30 relative error = 9.7564866561575437412527550415588e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.035 y[1] (analytic) = 10.251012216722561235901536271009 y[1] (numeric) = 10.25101221672256123590153627101 absolute error = 1e-30 relative error = 9.7551342136603028086950677388501e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.036 y[1] (analytic) = 10.252433407272888844434081698545 y[1] (numeric) = 10.252433407272888844434081698546 absolute error = 1e-30 relative error = 9.7537819586384075415672847112732e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.037 y[1] (analytic) = 10.253854794855717989312738274868 y[1] (numeric) = 10.253854794855717989312738274869 absolute error = 1e-30 relative error = 9.7524298910658701397935620539798e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.038 y[1] (analytic) = 10.255276379498365068505900278703 y[1] (numeric) = 10.255276379498365068505900278704 absolute error = 1e-30 relative error = 9.7510780109167064057224193690742e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.039 y[1] (analytic) = 10.256698161228150267101306002421 y[1] (numeric) = 10.256698161228150267101306002423 absolute error = 2e-30 relative error = 1.9499452636329871487254744643560e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (analytic) = 10.258120140072397557831080363532 y[1] (numeric) = 10.258120140072397557831080363534 absolute error = 2e-30 relative error = 1.9496749625569162318415268837659e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.041 y[1] (analytic) = 10.259542316058434701596850307577 y[1] (numeric) = 10.259542316058434701596850307578 absolute error = 1e-30 relative error = 9.7470234947496692590888879994941e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.042 y[1] (analytic) = 10.260964689213593247994933012522 y[1] (numeric) = 10.260964689213593247994933012523 absolute error = 1e-30 relative error = 9.7456723640342302503241244296506e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.043 y[1] (analytic) = 10.262387259565208535841596904748 y[1] (numeric) = 10.262387259565208535841596904748 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.044 y[1] (analytic) = 10.263810027140619693698395496715 y[1] (numeric) = 10.263810027140619693698395496716 absolute error = 1e-30 relative error = 9.7429706644579097342105819438770e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.045 y[1] (analytic) = 10.265232991967169640397574056423 y[1] (numeric) = 10.265232991967169640397574056424 absolute error = 1e-30 relative error = 9.7416200955451066386128612900038e-30 % Correct digits = 31 h = 0.001 NO POLE memory used=7.6MB, alloc=4.0MB, time=0.33 TOP MAIN SOLVE Loop x[1] = 1.046 y[1] (analytic) = 10.26665615407220508556754911874 y[1] (numeric) = 10.266656154072205085567549118741 absolute error = 1e-30 relative error = 9.7402697138479332568734046656696e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.047 y[1] (analytic) = 10.268079513483076530158460848713 y[1] (numeric) = 10.268079513483076530158460848713 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.048 y[1] (analytic) = 10.269503070227138266967798266955 y[1] (numeric) = 10.269503070227138266967798266956 absolute error = 1e-30 relative error = 9.7375695119966720392213298025896e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.049 y[1] (analytic) = 10.270926824331748381166097347219 y[1] (numeric) = 10.27092682433174838116609734722 absolute error = 1e-30 relative error = 9.7362196917906913985205663534111e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.05 y[1] (analytic) = 10.272350775824268750822711996241 y[1] (numeric) = 10.272350775824268750822711996242 absolute error = 1e-30 relative error = 9.7348700586965548611044943328655e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.051 y[1] (analytic) = 10.273774924732065047431657925982 y[1] (numeric) = 10.273774924732065047431657925983 absolute error = 1e-30 relative error = 9.7335206126883250154211088332247e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.052 y[1] (analytic) = 10.275199271082506736437529428357 y[1] (numeric) = 10.275199271082506736437529428359 absolute error = 2e-30 relative error = 1.9464342707480136090715839942777e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.053 y[1] (analytic) = 10.276623814902967077761489062567 y[1] (numeric) = 10.276623814902967077761489062568 absolute error = 1e-30 relative error = 9.7308222818258537297435536835376e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.054 y[1] (analytic) = 10.278048556220823126327330265131 y[1] (numeric) = 10.278048556220823126327330265132 absolute error = 1e-30 relative error = 9.7294733969197554418494216078090e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used Radius of convergence = 18.26 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 1.055 y[1] (analytic) = 10.279473495063455732587612892749 y[1] (numeric) = 10.27947349506345573258761289275 absolute error = 1e-30 relative error = 9.7281246989958501488914600453902e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.056 y[1] (analytic) = 10.280898631458249543049871708085 y[1] (numeric) = 10.280898631458249543049871708086 absolute error = 1e-30 relative error = 9.7267761880282184115319379904850e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.057 y[1] (analytic) = 10.282323965432593000802897818592 y[1] (numeric) = 10.282323965432593000802897818594 absolute error = 2e-30 relative error = 1.9450855727981888766762668439126e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.058 y[1] (analytic) = 10.283749497013878346043093078505 y[1] (numeric) = 10.283749497013878346043093078506 absolute error = 1e-30 relative error = 9.7240797268581158105002834303107e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.059 y[1] (analytic) = 10.285175226229501616600897464084 y[1] (numeric) = 10.285175226229501616600897464086 absolute error = 2e-30 relative error = 1.9445463553207648061803182841486e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.06 y[1] (analytic) = 10.286601153106862648467289432275 y[1] (numeric) = 10.286601153106862648467289432277 absolute error = 2e-30 relative error = 1.9442768026404327948104638597714e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.061 y[1] (analytic) = 10.28802727767336507632035927285 y[1] (numeric) = 10.288027277673365076320359272852 absolute error = 2e-30 relative error = 1.9440072873254468320751873426631e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.062 y[1] (analytic) = 10.289453599956416334051955464191 y[1] (numeric) = 10.289453599956416334051955464193 absolute error = 2e-30 relative error = 1.9437378093706273401509088191089e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.063 y[1] (analytic) = 10.29088011998342765529440404282 y[1] (numeric) = 10.290880119983427655294404042822 absolute error = 2e-30 relative error = 1.9434683687707954592062327807406e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.064 y[1] (analytic) = 10.292306837781814073947300996792 y[1] (numeric) = 10.292306837781814073947300996795 absolute error = 3e-30 relative error = 2.9147984482811595709536302576873e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.065 y[1] (analytic) = 10.293733753378994424704377693096 y[1] (numeric) = 10.293733753378994424704377693098 absolute error = 2e-30 relative error = 1.9429295996153826802938742328978e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.066 y[1] (analytic) = 10.295160866802391343580439349156 y[1] (numeric) = 10.295160866802391343580439349159 absolute error = 3e-30 relative error = 2.9139904065741714775929602093061e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.067 y[1] (analytic) = 10.296588178079431268438376558604 y[1] (numeric) = 10.296588178079431268438376558607 absolute error = 3e-30 relative error = 2.9135864697266879591233776497818e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.068 y[1] (analytic) = 10.298015687237544439516249881407 y[1] (numeric) = 10.29801568723754443951624988141 absolute error = 3e-30 relative error = 2.9131825888728605579873883649489e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.069 y[1] (analytic) = 10.299443394304164899954447508506 y[1] (numeric) = 10.299443394304164899954447508509 absolute error = 3e-30 relative error = 2.9127787640049274432331524472470e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.07 y[1] (analytic) = 10.300871299306730496322916011095 y[1] (numeric) = 10.300871299306730496322916011098 absolute error = 3e-30 relative error = 2.9123749951151278598524975841666e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.071 y[1] (analytic) = 10.302299402272682879148464184661 y[1] (numeric) = 10.302299402272682879148464184664 absolute error = 3e-30 relative error = 2.9119712821957021286317719326529e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.072 y[1] (analytic) = 10.303727703229467503442139997929 y[1] (numeric) = 10.303727703229467503442139997931 absolute error = 2e-30 relative error = 1.9410450834925944306684784455049e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.073 y[1] (analytic) = 10.305156202204533629226680656841 y[1] (numeric) = 10.305156202204533629226680656844 absolute error = 3e-30 relative error = 2.9111640242369388838933652061726e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.074 y[1] (analytic) = 10.306584899225334322064035793717 y[1] (numeric) = 10.30658489922533432206403579372 absolute error = 3e-30 relative error = 2.9107604791820873895789480912828e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.075 y[1] (analytic) = 10.308013794319326453582963791715 y[1] (numeric) = 10.308013794319326453582963791718 absolute error = 3e-30 relative error = 2.9103569900665817855328385543697e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=11.4MB, alloc=4.1MB, time=0.51 TOP MAIN SOLVE Loop x[1] = 1.076 y[1] (analytic) = 10.30944288751397070200670125475 y[1] (numeric) = 10.309442887513970702006701254753 absolute error = 3e-30 relative error = 2.9099535568826677692775037316036e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.077 y[1] (analytic) = 10.310872178836731552680705633004 y[1] (numeric) = 10.310872178836731552680705633007 absolute error = 3e-30 relative error = 2.9095501796225921132354825444576e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.078 y[1] (analytic) = 10.312301668315077298600471014168 y[1] (numeric) = 10.312301668315077298600471014171 absolute error = 3e-30 relative error = 2.9091468582786026645803832371823e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.079 y[1] (analytic) = 10.313731355976480040939417090562 y[1] (numeric) = 10.313731355976480040939417090566 absolute error = 4e-30 relative error = 3.8783247904572644601172020919667e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.08 y[1] (analytic) = 10.31516124184841568957685131228 y[1] (numeric) = 10.315161241848415689576851312284 absolute error = 4e-30 relative error = 3.8777871777438388679824795439755e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.081 y[1] (analytic) = 10.316591325958363963626004236498 y[1] (numeric) = 10.316591325958363963626004236502 absolute error = 4e-30 relative error = 3.8772496395541948704136872990260e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.082 y[1] (analytic) = 10.318021608333808391962138083107 y[1] (numeric) = 10.318021608333808391962138083111 absolute error = 4e-30 relative error = 3.8767121758780019936618573052075e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.083 y[1] (analytic) = 10.319452089002236313750728506805 y[1] (numeric) = 10.319452089002236313750728506809 absolute error = 4e-30 relative error = 3.8761747867049311959865105417095e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.084 y[1] (analytic) = 10.320882767991138878975719595811 y[1] (numeric) = 10.320882767991138878975719595815 absolute error = 4e-30 relative error = 3.8756374720246548674571522490986e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.085 y[1] (analytic) = 10.322313645328011048967852107344 y[1] (numeric) = 10.322313645328011048967852107348 absolute error = 4e-30 relative error = 3.8751002318268468297547946762951e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.086 y[1] (analytic) = 10.323744721040351596933064950027 y[1] (numeric) = 10.323744721040351596933064950031 absolute error = 4e-30 relative error = 3.8745630661011823359735073404290e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.087 y[1] (analytic) = 10.325175995155663108480969923367 y[1] (numeric) = 10.32517599515566310848096992337 absolute error = 3e-30 relative error = 2.9055194811280035528164960968255e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 50 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 1.088 y[1] (analytic) = 10.326607467701451982153399724466 y[1] (numeric) = 10.32660746770145198215339972447 absolute error = 4e-30 relative error = 3.8734889580249921484252019078968e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.089 y[1] (analytic) = 10.328039138705228429953029232134 y[1] (numeric) = 10.328039138705228429953029232138 absolute error = 4e-30 relative error = 3.8729520156538241161259466293448e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.09 y[1] (analytic) = 10.329471008194506477872070078535 y[1] (numeric) = 10.329471008194506477872070078538 absolute error = 3e-30 relative error = 2.9043113607851362127149352046286e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.091 y[1] (analytic) = 10.330903076196803966421038518555 y[1] (numeric) = 10.330903076196803966421038518559 absolute error = 4e-30 relative error = 3.8718783541937470580906752783760e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.092 y[1] (analytic) = 10.332335342739642551157596607047 y[1] (numeric) = 10.332335342739642551157596607052 absolute error = 5e-30 relative error = 4.8391770438552553461809255878857e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.093 y[1] (analytic) = 10.333767807850547703215466694101 y[1] (numeric) = 10.333767807850547703215466694105 absolute error = 4e-30 relative error = 3.8708049903745718742799638006166e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.094 y[1] (analytic) = 10.335200471557048709833419248517 y[1] (numeric) = 10.335200471557048709833419248522 absolute error = 5e-30 relative error = 4.8378355250681706841924782182222e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.095 y[1] (analytic) = 10.336633333886678674884334019656 y[1] (numeric) = 10.33663333388667867488433401966 absolute error = 4e-30 relative error = 3.8697319241137864230526811550050e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.096 y[1] (analytic) = 10.338066394866974519404334547809 y[1] (numeric) = 10.338066394866974519404334547813 absolute error = 4e-30 relative error = 3.8691955025420110576920161412594e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.097 y[1] (analytic) = 10.339499654525476982121996033283 y[1] (numeric) = 10.339499654525476982121996033287 absolute error = 4e-30 relative error = 3.8686591553289014368198690192180e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.098 y[1] (analytic) = 10.340933112889730619987626574354 y[1] (numeric) = 10.340933112889730619987626574358 absolute error = 4e-30 relative error = 3.8681228824641499750179262783950e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.099 y[1] (analytic) = 10.342366769987283808702621784267 y[1] (numeric) = 10.342366769987283808702621784272 absolute error = 5e-30 relative error = 4.8344833549218131446294837405086e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = 10.343800625845688743248892797458 y[1] (numeric) = 10.343800625845688743248892797463 absolute error = 5e-30 relative error = 4.8338131996731229136648723237163e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.101 y[1] (analytic) = 10.345234680492501438418367675164 y[1] (numeric) = 10.345234680492501438418367675168 absolute error = 4e-30 relative error = 3.8665145098569901211975156956499e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.102 y[1] (analytic) = 10.346668933955281729342566220604 y[1] (numeric) = 10.346668933955281729342566220608 absolute error = 4e-30 relative error = 3.8659785342826240152366973874878e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.103 y[1] (analytic) = 10.348103386261593272022248213913 y[1] (numeric) = 10.348103386261593272022248213917 absolute error = 4e-30 relative error = 3.8654426330050995698293172828062e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 4.652e+16 Order of pole = 3.607e+29 TOP MAIN SOLVE Loop x[1] = 1.104 y[1] (analytic) = 10.349538037439003543857135076995 y[1] (numeric) = 10.349538037439003543857135076999 absolute error = 4e-30 relative error = 3.8649068060141177696009120332850e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.105 y[1] (analytic) = 10.350972887515083844175704978482 y[1] (numeric) = 10.350972887515083844175704978486 absolute error = 4e-30 relative error = 3.8643710532993810268247528745668e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=15.2MB, alloc=4.1MB, time=0.70 x[1] = 1.106 y[1] (analytic) = 10.352407936517409294765061388986 y[1] (numeric) = 10.352407936517409294765061388991 absolute error = 5e-30 relative error = 4.8297942185632414765299316794530e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.107 y[1] (analytic) = 10.353843184473558840400875096818 y[1] (numeric) = 10.353843184473558840400875096823 absolute error = 5e-30 relative error = 4.8291247133218243747169455358274e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.108 y[1] (analytic) = 10.355278631411115249377399694362 y[1] (numeric) = 10.355278631411115249377399694367 absolute error = 5e-30 relative error = 4.8284553008871083456284614363074e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.109 y[1] (analytic) = 10.356714277357665114037560545292 y[1] (numeric) = 10.356714277357665114037560545296 absolute error = 4e-30 relative error = 3.8622287849969828322970645592933e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (analytic) = 10.358150122340798851303117242815 y[1] (numeric) = 10.358150122340798851303117242819 absolute error = 4e-30 relative error = 3.8616934035090575147004311754875e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.111 y[1] (analytic) = 10.359586166388110703204899569135 y[1] (numeric) = 10.35958616638811070320489956914 absolute error = 5e-30 relative error = 4.8264476202945271221470022737702e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.112 y[1] (analytic) = 10.361022409527198737413116966324 y[1] (numeric) = 10.361022409527198737413116966329 absolute error = 5e-30 relative error = 4.8257785789579847270203973428313e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.113 y[1] (analytic) = 10.362458851785664847767741528786 y[1] (numeric) = 10.362458851785664847767741528791 absolute error = 5e-30 relative error = 4.8251096303638369909120261955119e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.114 y[1] (analytic) = 10.363895493191114754808964527519 y[1] (numeric) = 10.363895493191114754808964527524 absolute error = 5e-30 relative error = 4.8244407744992279790727149818726e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.115 y[1] (analytic) = 10.365332333771158006307726476362 y[1] (numeric) = 10.365332333771158006307726476367 absolute error = 5e-30 relative error = 4.8237720113513035388407470787903e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.116 y[1] (analytic) = 10.366769373553407977796320750423 y[1] (numeric) = 10.366769373553407977796320750428 absolute error = 5e-30 relative error = 4.8231033409072112993948304340552e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.117 y[1] (analytic) = 10.368206612565481873099070766886 y[1] (numeric) = 10.368206612565481873099070766891 absolute error = 5e-30 relative error = 4.8224347631541006715070991540926e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.118 y[1] (analytic) = 10.369644050835000724863080738399 y[1] (numeric) = 10.369644050835000724863080738403 absolute error = 4e-30 relative error = 3.8574130224632982778369194644478e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.119 y[1] (analytic) = 10.371081688389589395089060009232 y[1] (numeric) = 10.371081688389589395089060009236 absolute error = 4e-30 relative error = 3.8568783085355446399840872808626e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (analytic) = 10.372519525256876575662220984428 y[1] (numeric) = 10.372519525256876575662220984432 absolute error = 4e-30 relative error = 3.8563436687297434269037943514760e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.121 y[1] (analytic) = 10.373957561464494788883250662121 y[1] (numeric) = 10.373957561464494788883250662124 absolute error = 3e-30 relative error = 2.8918568272767148997529541019347e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.122 y[1] (analytic) = 10.375395797040080387999355779249 y[1] (numeric) = 10.375395797040080387999355779253 absolute error = 4e-30 relative error = 3.8552746114429006103129101621875e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.123 y[1] (analytic) = 10.376834232011273557735381580863 y[1] (numeric) = 10.376834232011273557735381580867 absolute error = 4e-30 relative error = 3.8547401939413137349488215865447e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.124 y[1] (analytic) = 10.378272866405718314825004223222 y[1] (numeric) = 10.378272866405718314825004223226 absolute error = 4e-30 relative error = 3.8542058505205887402554361216359e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.125 y[1] (analytic) = 10.379711700251062508541996820911 y[1] (numeric) = 10.379711700251062508541996820914 absolute error = 3e-30 relative error = 2.8902536858778424124535902469168e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.126 y[1] (analytic) = 10.381150733574957821231569148162 y[1] (numeric) = 10.381150733574957821231569148165 absolute error = 3e-30 relative error = 2.8898530394104871333998689552196e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.127 y[1] (analytic) = 10.38258996640505976884178100462 y[1] (numeric) = 10.382589966405059768841781004623 absolute error = 3e-30 relative error = 2.8894524484806760459078211490913e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.128 y[1] (analytic) = 10.384029398769027701455029255737 y[1] (numeric) = 10.38402939876902770145502925574 absolute error = 3e-30 relative error = 2.8890519130807105451820761688677e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.129 y[1] (analytic) = 10.385469030694524803819608558029 y[1] (numeric) = 10.385469030694524803819608558032 absolute error = 3e-30 relative error = 2.8886514332028930936065320469515e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.13 y[1] (analytic) = 10.386908862209218095881345779404 y[1] (numeric) = 10.386908862209218095881345779406 absolute error = 2e-30 relative error = 1.9255006725596848137309488677856e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.131 y[1] (analytic) = 10.388348893340778433315308124774 y[1] (numeric) = 10.388348893340778433315308124776 absolute error = 2e-30 relative error = 1.9252337599886116816336061583481e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.132 y[1] (analytic) = 10.389789124116880508057584977184 y[1] (numeric) = 10.389789124116880508057584977187 absolute error = 3e-30 relative error = 2.8874503266253696622026827487914e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.133 y[1] (analytic) = 10.39122955456520284883714346466 y[1] (numeric) = 10.391229554565202848837143464662 absolute error = 2e-30 relative error = 1.9247000458394602463167330826530e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.134 y[1] (analytic) = 10.392670184713427821707757763002 y[1] (numeric) = 10.392670184713427821707757763004 absolute error = 2e-30 relative error = 1.9244332442511249602195522319516e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.135 y[1] (analytic) = 10.394111014589241630580012144759 y[1] (numeric) = 10.394111014589241630580012144761 absolute error = 2e-30 relative error = 1.9241664796467798247460135993004e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.1MB, time=0.88 x[1] = 1.136 y[1] (analytic) = 10.39555204422033431775337778459 y[1] (numeric) = 10.395552044220334317753377784592 absolute error = 2e-30 relative error = 1.9238997520212981255613340253987e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.137 y[1] (analytic) = 10.39699327363439976444836333125 y[1] (numeric) = 10.396993273634399764448363331252 absolute error = 2e-30 relative error = 1.9236330613695538589949870584638e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.138 y[1] (analytic) = 10.398434702859135691338739256421 y[1] (numeric) = 10.398434702859135691338739256422 absolute error = 1e-30 relative error = 9.6168320384321086597109539877965e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.139 y[1] (analytic) = 10.399876331922243659083835990616 y[1] (numeric) = 10.399876331922243659083835990618 absolute error = 2e-30 relative error = 1.9230997909667771617654093916616e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = 10.4013181608514290688609158564 y[1] (numeric) = 10.401318160851429068860915856402 absolute error = 2e-30 relative error = 1.9228332112054962761958681925697e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.141 y[1] (analytic) = 10.402760189674401162897618809134 y[1] (numeric) = 10.402760189674401162897618809136 absolute error = 2e-30 relative error = 1.9225666683974559132350825597699e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.142 y[1] (analytic) = 10.404202418418873025004481995494 y[1] (numeric) = 10.404202418418873025004481995496 absolute error = 2e-30 relative error = 1.9223001625375336210564003153598e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.143 y[1] (analytic) = 10.405644847112561581107533139997 y[1] (numeric) = 10.405644847112561581107533139999 absolute error = 2e-30 relative error = 1.9220336936206076579065578471391e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.144 y[1] (analytic) = 10.407087475783187599780957769759 y[1] (numeric) = 10.407087475783187599780957769761 absolute error = 2e-30 relative error = 1.9217672616415569920072498579782e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.145 y[1] (analytic) = 10.408530304458475692779840287736 y[1] (numeric) = 10.408530304458475692779840287738 absolute error = 2e-30 relative error = 1.9215008665952613014567127595696e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.146 y[1] (analytic) = 10.409973333166154315572978904669 y[1] (numeric) = 10.409973333166154315572978904672 absolute error = 3e-30 relative error = 2.8818517627149014611969825630103e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.147 y[1] (analytic) = 10.411416561933955767875774439997 y[1] (numeric) = 10.411416561933955767875774439999 absolute error = 2e-30 relative error = 1.9209681872804571075872012839642e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.148 y[1] (analytic) = 10.412859990789616194183193001947 y[1] (numeric) = 10.412859990789616194183193001949 absolute error = 2e-30 relative error = 1.9207019030017115089618498015886e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.149 y[1] (analytic) = 10.414303619760875584302802557078 y[1] (numeric) = 10.41430361976087558430280255708 absolute error = 2e-30 relative error = 1.9204356556352466948757772675441e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (analytic) = 10.415747448875477773887883399497 y[1] (numeric) = 10.415747448875477773887883399498 absolute error = 1e-30 relative error = 9.6008472258797294566707848249342e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.151 y[1] (analytic) = 10.41719147816117044497061253 y[1] (numeric) = 10.417191478161170444970612530001 absolute error = 1e-30 relative error = 9.5995163580934651681424533729058e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.152 y[1] (analytic) = 10.418635707645705126495321955397 y[1] (numeric) = 10.418635707645705126495321955398 absolute error = 1e-30 relative error = 9.5981856747918638311914376299830e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.153 y[1] (analytic) = 10.420080137356837194851830918246 y[1] (numeric) = 10.420080137356837194851830918247 absolute error = 1e-30 relative error = 9.5968551759493522136637823933422e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.154 y[1] (analytic) = 10.421524767322325874408852067268 y[1] (numeric) = 10.421524767322325874408852067268 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.155 y[1] (analytic) = 10.422969597569934238047471578675 y[1] (numeric) = 10.422969597569934238047471578676 absolute error = 1e-30 relative error = 9.5941947315393229325564797430711e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.156 y[1] (analytic) = 10.424414628127429207694703238687 y[1] (numeric) = 10.424414628127429207694703238689 absolute error = 2e-30 relative error = 1.9185729571841353054977066322833e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.157 y[1] (analytic) = 10.425859859022581554857116497463 y[1] (numeric) = 10.425859859022581554857116497465 absolute error = 2e-30 relative error = 1.9183070049317724715769500861168e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.158 y[1] (analytic) = 10.427305290283165901154538504723 y[1] (numeric) = 10.427305290283165901154538504725 absolute error = 2e-30 relative error = 1.9180410895456649822925985216521e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.159 y[1] (analytic) = 10.428750921936960718853830137311 y[1] (numeric) = 10.428750921936960718853830137313 absolute error = 2e-30 relative error = 1.9177752110207024436883649734394e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (analytic) = 10.430196754011748331402736028956 y[1] (numeric) = 10.430196754011748331402736028959 absolute error = 3e-30 relative error = 2.8762640540276627553148366976095e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.161 y[1] (analytic) = 10.431642786535314913963808612494 y[1] (numeric) = 10.431642786535314913963808612497 absolute error = 3e-30 relative error = 2.8758653468006612769098231840652e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.162 y[1] (analytic) = 10.433089019535450493948406184805 y[1] (numeric) = 10.433089019535450493948406184808 absolute error = 3e-30 relative error = 2.8754666948423868267498823512847e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.163 y[1] (analytic) = 10.434535453039948951550765004734 y[1] (numeric) = 10.434535453039948951550765004736 absolute error = 2e-30 relative error = 1.9167120654301187089523002518646e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.164 y[1] (analytic) = 10.435982087076608020282145434259 y[1] (numeric) = 10.435982087076608020282145434262 absolute error = 3e-30 relative error = 2.8746695567013747075527876058867e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.165 y[1] (analytic) = 10.437428921673229287505052133174 y[1] (numeric) = 10.437428921673229287505052133177 absolute error = 3e-30 relative error = 2.8742710705033175415967623684916e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.166 y[1] (analytic) = 10.438875956857618194967528317539 y[1] (numeric) = 10.438875956857618194967528317542 absolute error = 3e-30 relative error = 2.8738726395433484097536552231789e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=22.8MB, alloc=4.1MB, time=1.07 TOP MAIN SOLVE Loop x[1] = 1.167 y[1] (analytic) = 10.440323192657584039337524092187 y[1] (numeric) = 10.44032319265758403933752409219 absolute error = 3e-30 relative error = 2.8734742638138102177889835903741e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.168 y[1] (analytic) = 10.441770629100939972737338867542 y[1] (numeric) = 10.441770629100939972737338867545 absolute error = 3e-30 relative error = 2.8730759433070469328933467930127e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.169 y[1] (analytic) = 10.443218266215503003278137871023 y[1] (numeric) = 10.443218266215503003278137871026 absolute error = 3e-30 relative error = 2.8726776780154035835352914947869e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.17 y[1] (analytic) = 10.444666104029093995594542763307 y[1] (numeric) = 10.44466610402909399559454276331 absolute error = 3e-30 relative error = 2.8722794679312262593141975341612e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.171 y[1] (analytic) = 10.446114142569537671379296369729 y[1] (numeric) = 10.446114142569537671379296369732 absolute error = 3e-30 relative error = 2.8718813130468621108131841513261e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.172 y[1] (analytic) = 10.447562381864662609918001537084 y[1] (numeric) = 10.447562381864662609918001537087 absolute error = 3e-30 relative error = 2.8714832133546593494520366052673e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.173 y[1] (analytic) = 10.449010821942301248623934126119 y[1] (numeric) = 10.449010821942301248623934126122 absolute error = 3e-30 relative error = 2.8710851688469672473401531781205e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.174 y[1] (analytic) = 10.450459462830289883572930149984 y[1] (numeric) = 10.450459462830289883572930149986 absolute error = 2e-30 relative error = 1.9137914530107574247530083759918e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.175 y[1] (analytic) = 10.451908304556468670038347068926 y[1] (numeric) = 10.451908304556468670038347068928 absolute error = 2e-30 relative error = 1.9135261635696782745784410929263e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.176 y[1] (analytic) = 10.453357347148681623026099251509 y[1] (numeric) = 10.453357347148681623026099251512 absolute error = 3e-30 relative error = 2.8698913663544635248507236125252e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.177 y[1] (analytic) = 10.45480659063477661780976761264 y[1] (numeric) = 10.454806590634776617809767612643 absolute error = 3e-30 relative error = 2.8694935425083279894764265485193e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.178 y[1] (analytic) = 10.456256035042605390465783438677 y[1] (numeric) = 10.45625603504260539046578343868 absolute error = 3e-30 relative error = 2.8690957738084653790971522678293e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.179 y[1] (analytic) = 10.457705680400023538408686409922 y[1] (numeric) = 10.457705680400023538408686409925 absolute error = 3e-30 relative error = 2.8686980602472313268730056149875e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (analytic) = 10.459155526734890520926456830768 y[1] (numeric) = 10.459155526734890520926456830771 absolute error = 3e-30 relative error = 2.8683004018169825256249040948581e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.181 y[1] (analytic) = 10.460605574075069659715922077801 y[1] (numeric) = 10.460605574075069659715922077804 absolute error = 3e-30 relative error = 2.8679027985100767276876878735805e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.182 y[1] (analytic) = 10.462055822448428139418237276133 y[1] (numeric) = 10.462055822448428139418237276137 absolute error = 4e-30 relative error = 3.8233403337584969930176668551772e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.183 y[1] (analytic) = 10.463506271882837008154440214277 y[1] (numeric) = 10.463506271882837008154440214281 absolute error = 4e-30 relative error = 3.8228103429809739303649171125804e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.184 y[1] (analytic) = 10.464956922406171178061080507831 y[1] (numeric) = 10.464956922406171178061080507834 absolute error = 3e-30 relative error = 2.8667103192530107667144727129277e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.185 y[1] (analytic) = 10.466407774046309425825923022286 y[1] (numeric) = 10.46640777404630942582592302229 absolute error = 4e-30 relative error = 3.8217505818174342540101903900619e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.186 y[1] (analytic) = 10.467858826831134393223725565248 y[1] (numeric) = 10.467858826831134393223725565252 absolute error = 4e-30 relative error = 3.8212208114110510224733521687040e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.187 y[1] (analytic) = 10.469310080788532587652090858357 y[1] (numeric) = 10.469310080788532587652090858361 absolute error = 4e-30 relative error = 3.8206911144413501361218839139645e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.188 y[1] (analytic) = 10.470761535946394382667392799223 y[1] (numeric) = 10.470761535946394382667392799227 absolute error = 4e-30 relative error = 3.8201614908981518147172374427945e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.189 y[1] (analytic) = 10.47221319233261401852077702366 y[1] (numeric) = 10.472213192332614018520777023664 absolute error = 4e-30 relative error = 3.8196319407712776891402451841175e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (analytic) = 10.473665049975089602694235778532 y[1] (numeric) = 10.473665049975089602694235778537 absolute error = 5e-30 relative error = 4.7738780800631885014943888171402e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.191 y[1] (analytic) = 10.475117108901723110436757115506 y[1] (numeric) = 10.47511710890172311043675711551 absolute error = 4e-30 relative error = 3.8185730607257956034158284443985e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.192 y[1] (analytic) = 10.476569369140420385300548416009 y[1] (numeric) = 10.476569369140420385300548416014 absolute error = 5e-30 relative error = 4.7725546634835474485832816597158e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 1.699e+16 Order of pole = 2.885e+29 TOP MAIN SOLVE Loop x[1] = 1.193 y[1] (analytic) = 10.478021830719091139677334257722 y[1] (numeric) = 10.478021830719091139677334257728 absolute error = 6e-30 relative error = 5.7262717113352577114256546955792e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.194 y[1] (analytic) = 10.479474493665648955334728632879 y[1] (numeric) = 10.479474493665648955334728632885 absolute error = 6e-30 relative error = 5.7254779365384387498171040709433e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.195 y[1] (analytic) = 10.480927358008011283952681528706 y[1] (numeric) = 10.480927358008011283952681528712 absolute error = 6e-30 relative error = 5.7246842717745451937096961838196e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.196 y[1] (analytic) = 10.482380423774099447659999880307 y[1] (numeric) = 10.482380423774099447659999880313 absolute error = 6e-30 relative error = 5.7238907170283242979648701392565e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=26.7MB, alloc=4.2MB, time=1.26 TOP MAIN SOLVE Loop x[1] = 1.197 y[1] (analytic) = 10.483833690991838639570942906293 y[1] (numeric) = 10.483833690991838639570942906299 absolute error = 6e-30 relative error = 5.7230972722845254317769649859211e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.198 y[1] (analytic) = 10.485287159689157924321891837485 y[1] (numeric) = 10.485287159689157924321891837491 absolute error = 6e-30 relative error = 5.7223039375279000783801312542389e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.199 y[1] (analytic) = 10.48674082989399023860809404899 y[1] (numeric) = 10.486740829893990238608094048996 absolute error = 6e-30 relative error = 5.7215107127432018347552831224083e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = 10.488194701634272391720481605975 y[1] (numeric) = 10.48819470163427239172048160598 absolute error = 5e-30 relative error = 4.7672646649293220094475760038775e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.201 y[1] (analytic) = 10.489648774937945066082564233447 y[1] (numeric) = 10.489648774937945066082564233453 absolute error = 6e-30 relative error = 5.7199245930286116317210159560867e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.202 y[1] (analytic) = 10.491103049832952817787396720371 y[1] (numeric) = 10.491103049832952817787396720377 absolute error = 6e-30 relative error = 5.7191316980682374323703816885512e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.203 y[1] (analytic) = 10.492557526347244077134620768426 y[1] (numeric) = 10.492557526347244077134620768431 absolute error = 5e-30 relative error = 4.7652824275156882186029093265085e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.204 y[1] (analytic) = 10.494012204508771149167581295734 y[1] (numeric) = 10.494012204508771149167581295739 absolute error = 5e-30 relative error = 4.7646218648876175690839841287175e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.205 y[1] (analytic) = 10.495467084345490214210517205888 y[1] (numeric) = 10.495467084345490214210517205893 absolute error = 5e-30 relative error = 4.7639613938266244728433474824466e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.206 y[1] (analytic) = 10.496922165885361328405826632582 y[1] (numeric) = 10.496922165885361328405826632587 absolute error = 5e-30 relative error = 4.7633010143200159173862759874800e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.207 y[1] (analytic) = 10.498377449156348424251406670195 y[1] (numeric) = 10.4983774491563484242514066702 absolute error = 5e-30 relative error = 4.7626407263551006497212486632806e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.208 y[1] (analytic) = 10.499832934186419311138067600632 y[1] (numeric) = 10.499832934186419311138067600637 absolute error = 5e-30 relative error = 4.7619805299191891761160449185950e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.209 y[1] (analytic) = 10.501288621003545675887021626767 y[1] (numeric) = 10.501288621003545675887021626773 absolute error = 6e-30 relative error = 5.7135845099995125142246515968543e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.21 y[1] (analytic) = 10.502744509635703083287446122811 y[1] (numeric) = 10.502744509635703083287446122817 absolute error = 6e-30 relative error = 5.7127924939003541171874626756301e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.211 y[1] (analytic) = 10.504200600110870976634121411929 y[1] (numeric) = 10.504200600110870976634121411935 absolute error = 6e-30 relative error = 5.7120005875903307593268148994611e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.212 y[1] (analytic) = 10.505656892457032678265143081455 y[1] (numeric) = 10.505656892457032678265143081461 absolute error = 6e-30 relative error = 5.7112087910542234896826724100487e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.213 y[1] (analytic) = 10.507113386702175390099708846023 y[1] (numeric) = 10.507113386702175390099708846028 absolute error = 5e-30 relative error = 4.7586809202306795557861300793431e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.214 y[1] (analytic) = 10.508570082874290194175979968955 y[1] (numeric) = 10.50857008287429019417597996896 absolute error = 5e-30 relative error = 4.7580212727024099659609204146653e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.215 y[1] (analytic) = 10.510026981001372053189017252248 y[1] (numeric) = 10.510026981001372053189017252254 absolute error = 6e-30 relative error = 5.7088340599372403434196752612529e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.216 y[1] (analytic) = 10.51148408111141981102879160549 y[1] (numeric) = 10.511484081111419811028791605497 absolute error = 7e-30 relative error = 6.6593831527354251232256516288231e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.217 y[1] (analytic) = 10.512941383232436193318269204049 y[1] (numeric) = 10.512941383232436193318269204055 absolute error = 6e-30 relative error = 5.7072514544499128401178023549669e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.218 y[1] (analytic) = 10.514398887392427807951571246868 y[1] (numeric) = 10.514398887392427807951571246874 absolute error = 6e-30 relative error = 5.7064603162378222494514499168122e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.219 y[1] (analytic) = 10.515856593619405145632208324231 y[1] (numeric) = 10.515856593619405145632208324236 absolute error = 5e-30 relative error = 4.7547244064109784533846573931053e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = 10.517314501941382580411389405808 y[1] (numeric) = 10.517314501941382580411389405814 absolute error = 6e-30 relative error = 5.7048783688007664419890125009123e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.221 y[1] (analytic) = 10.518772612386378370226405459366 y[1] (numeric) = 10.518772612386378370226405459371 absolute error = 5e-30 relative error = 4.7534062996211659738204107056057e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.222 y[1] (analytic) = 10.520230924982414657439087710448 y[1] (numeric) = 10.520230924982414657439087710453 absolute error = 5e-30 relative error = 4.7527473832598953801805548057921e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.223 y[1] (analytic) = 10.521689439757517469374340553411 y[1] (numeric) = 10.521689439757517469374340553416 absolute error = 5e-30 relative error = 4.7520885582374971199832970683090e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.224 y[1] (analytic) = 10.523148156739716718858749124141 y[1] (numeric) = 10.523148156739716718858749124146 absolute error = 5e-30 relative error = 4.7514298245413098145021213410685e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.225 y[1] (analytic) = 10.524607075957046204759261544814 y[1] (numeric) = 10.524607075957046204759261544819 absolute error = 5e-30 relative error = 4.7507711821586738401286463997334e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.226 y[1] (analytic) = 10.526066197437543612521945851046 y[1] (numeric) = 10.526066197437543612521945851051 absolute error = 5e-30 relative error = 4.7501126310769313281293317746197e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=30.5MB, alloc=4.2MB, time=1.45 x[1] = 1.227 y[1] (analytic) = 10.527525521209250514710821611788 y[1] (numeric) = 10.527525521209250514710821611793 absolute error = 5e-30 relative error = 4.7494541712834261644022173029955e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.228 y[1] (analytic) = 10.528985047300212371546766252326 y[1] (numeric) = 10.528985047300212371546766252332 absolute error = 6e-30 relative error = 5.6985549633186047870804356825193e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.229 y[1] (analytic) = 10.530444775738478531446496090742 y[1] (numeric) = 10.530444775738478531446496090748 absolute error = 6e-30 relative error = 5.6977650306126146364663876698464e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.23 y[1] (analytic) = 10.53190470655210223156162209818 y[1] (numeric) = 10.531904706552102231561622098186 absolute error = 6e-30 relative error = 5.6969752074069599234407830324778e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.231 y[1] (analytic) = 10.533364839769140598317780393301 y[1] (numeric) = 10.533364839769140598317780393307 absolute error = 6e-30 relative error = 5.6961854936864617303945388892535e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.232 y[1] (analytic) = 10.534825175417654647953837481267 y[1] (numeric) = 10.534825175417654647953837481273 absolute error = 6e-30 relative error = 5.6953958894359432438175129019541e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.233 y[1] (analytic) = 10.53628571352570928706117024763 y[1] (numeric) = 10.536285713525709287061170247636 absolute error = 6e-30 relative error = 5.6946063946402297540068334431270e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.234 y[1] (analytic) = 10.53774645412137331312302071748 y[1] (numeric) = 10.537746454121373313123020717486 absolute error = 6e-30 relative error = 5.6938170092841486547752701951376e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.235 y[1] (analytic) = 10.539207397232719415053925590225 y[1] (numeric) = 10.539207397232719415053925590231 absolute error = 6e-30 relative error = 5.6930277333525294431596451748362e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.236 y[1] (analytic) = 10.540668542887824173739220560366 y[1] (numeric) = 10.540668542887824173739220560372 absolute error = 6e-30 relative error = 5.6922385668302037191292841782382e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.237 y[1] (analytic) = 10.542129891114768062574619434638 y[1] (numeric) = 10.542129891114768062574619434643 absolute error = 5e-30 relative error = 4.7428745914183376544120905330118e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.238 y[1] (analytic) = 10.543591441941635448005868055878 y[1] (numeric) = 10.543591441941635448005868055883 absolute error = 5e-30 relative error = 4.7422171349606413721793065828267e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.239 y[1] (analytic) = 10.54505319539651459006847304401 y[1] (numeric) = 10.545053195396514590068473044015 absolute error = 5e-30 relative error = 4.7415597696394458417576765627161e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.24 y[1] (analytic) = 10.546515151507497642927505364494 y[1] (numeric) = 10.5465151515074976429275053645 absolute error = 6e-30 relative error = 5.6890829945305412845613041308779e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.241 y[1] (analytic) = 10.547977310302680655417478734639 y[1] (numeric) = 10.547977310302680655417478734645 absolute error = 6e-30 relative error = 5.6882943748272305802314753366001e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.242 y[1] (analytic) = 10.549439671810163571582302878134 y[1] (numeric) = 10.549439671810163571582302878139 absolute error = 5e-30 relative error = 4.7395882203685392571365142638289e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.243 y[1] (analytic) = 10.550902236058050231215311638185 y[1] (numeric) = 10.550902236058050231215311638189 absolute error = 4e-30 relative error = 3.7911449755736247879301441845211e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.244 y[1] (analytic) = 10.552365003074448370399365959636 y[1] (numeric) = 10.55236500307444837039936595964 absolute error = 4e-30 relative error = 3.7906194477110994754427529386509e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 3.289e+16 Order of pole = 1.803e+29 TOP MAIN SOLVE Loop x[1] = 1.245 y[1] (analytic) = 10.553827972887469622047031750454 y[1] (numeric) = 10.553827972887469622047031750458 absolute error = 4e-30 relative error = 3.7900939926971558104129319057652e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.246 y[1] (analytic) = 10.555291145525229516440832632952 y[1] (numeric) = 10.555291145525229516440832632956 absolute error = 4e-30 relative error = 3.7895686105216955350194020477977e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.247 y[1] (analytic) = 10.556754521015847481773577595139 y[1] (numeric) = 10.556754521015847481773577595143 absolute error = 4e-30 relative error = 3.7890433011746217912596415197709e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.248 y[1] (analytic) = 10.558218099387446844688763552584 y[1] (numeric) = 10.558218099387446844688763552588 absolute error = 4e-30 relative error = 3.7885180646458391207558430351475e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.249 y[1] (analytic) = 10.559681880668154830821052831171 y[1] (numeric) = 10.559681880668154830821052831175 absolute error = 4e-30 relative error = 3.7879929009252534645608981293401e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.25 y[1] (analytic) = 10.561145864886102565336825581137 y[1] (numeric) = 10.561145864886102565336825581141 absolute error = 4e-30 relative error = 3.7874678100027721629644083176489e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.251 y[1] (analytic) = 10.562610052069425073474807132784 y[1] (numeric) = 10.562610052069425073474807132788 absolute error = 4e-30 relative error = 3.7869427918683039552987231438972e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 2.404e+29 TOP MAIN SOLVE Loop x[1] = 1.252 y[1] (analytic) = 10.564074442246261281086770304249 y[1] (numeric) = 10.564074442246261281086770304252 absolute error = 3e-30 relative error = 2.8398133848838192348087538370308e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.253 y[1] (analytic) = 10.565539035444754015178312671721 y[1] (numeric) = 10.565539035444754015178312671725 absolute error = 4e-30 relative error = 3.7858929739230487731393215250258e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.254 y[1] (analytic) = 10.567003831693050004449708812518 y[1] (numeric) = 10.567003831693050004449708812522 absolute error = 4e-30 relative error = 3.7853681740920862707787631431544e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.255 y[1] (analytic) = 10.568468831019299879836837531384 y[1] (numeric) = 10.568468831019299879836837531387 absolute error = 3e-30 relative error = 2.8386325852565893546706923486928e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.256 y[1] (analytic) = 10.569934033451658175052184080431 y[1] (numeric) = 10.569934033451658175052184080435 absolute error = 4e-30 relative error = 3.7843187926630631111234028199225e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.257 y[1] (analytic) = 10.571399439018283327125917383115 y[1] (numeric) = 10.571399439018283327125917383119 absolute error = 4e-30 relative error = 3.7837942110448353149833443540714e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=34.3MB, alloc=4.2MB, time=1.64 TOP MAIN SOLVE Loop x[1] = 1.258 y[1] (analytic) = 10.572865047747337676947042272632 y[1] (numeric) = 10.572865047747337676947042272636 absolute error = 4e-30 relative error = 3.7832697021440209450103235421503e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.259 y[1] (analytic) = 10.574330859666987469804626755151 y[1] (numeric) = 10.574330859666987469804626755155 absolute error = 4e-30 relative error = 3.7827452659505399258992695612170e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.26 y[1] (analytic) = 10.575796874805402855929104308278 y[1] (numeric) = 10.575796874805402855929104308282 absolute error = 4e-30 relative error = 3.7822209024543135796434115211960e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.261 y[1] (analytic) = 10.577263093190757891033651225151 y[1] (numeric) = 10.577263093190757891033651225156 absolute error = 5e-30 relative error = 4.7271207645565807816757315194781e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.686e+16 Order of pole = 3.607e+29 TOP MAIN SOLVE Loop x[1] = 1.262 y[1] (analytic) = 10.578729514851230536855639014579 y[1] (numeric) = 10.578729514851230536855639014583 absolute error = 4e-30 relative error = 3.7811723935133171789995667218686e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.263 y[1] (analytic) = 10.580196139815002661698161867612 y[1] (numeric) = 10.580196139815002661698161867616 absolute error = 4e-30 relative error = 3.7806482480483967533464328479778e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.264 y[1] (analytic) = 10.581662968110260040971639200981 y[1] (numeric) = 10.581662968110260040971639200984 absolute error = 3e-30 relative error = 2.8350931314303226932232113157304e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.265 y[1] (analytic) = 10.58312999976519235773549328778 y[1] (numeric) = 10.583129999765192357735493287784 absolute error = 4e-30 relative error = 3.7796001750793459974329804143364e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.266 y[1] (analytic) = 10.584597234807993203239901985832 y[1] (numeric) = 10.584597234807993203239901985837 absolute error = 5e-30 relative error = 4.7238453094438420930861736375903e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.267 y[1] (analytic) = 10.586064673266860077467626574127 y[1] (numeric) = 10.586064673266860077467626574131 absolute error = 4e-30 relative error = 3.7785523926575443863982448919502e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.268 y[1] (analytic) = 10.587532315169994389675914707753 y[1] (numeric) = 10.587532315169994389675914707757 absolute error = 4e-30 relative error = 3.7780286103766906266298248661373e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.269 y[1] (analytic) = 10.589000160545601458938478501747 y[1] (numeric) = 10.589000160545601458938478501751 absolute error = 4e-30 relative error = 3.7775049007024462841286323055131e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (analytic) = 10.590468209421890514687547754257 y[1] (numeric) = 10.590468209421890514687547754261 absolute error = 4e-30 relative error = 3.7769812636247466432221959139536e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.271 y[1] (analytic) = 10.591936461827074697255998319452 y[1] (numeric) = 10.591936461827074697255998319457 absolute error = 5e-30 relative error = 4.7205721239169104792589933835722e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.272 y[1] (analytic) = 10.593404917789371058419555640596 y[1] (numeric) = 10.5934049177893710584195556406 absolute error = 4e-30 relative error = 3.7759342072187295791560599042027e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.273 y[1] (analytic) = 10.594873577337000561939073453689 y[1] (numeric) = 10.594873577337000561939073453694 absolute error = 5e-30 relative error = 4.7192634848378621246545045405194e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 1.274 y[1] (analytic) = 10.596342440498188084102887672129 y[1] (numeric) = 10.596342440498188084102887672134 absolute error = 5e-30 relative error = 4.7186093013476870111920930391676e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.275 y[1] (analytic) = 10.59781150730116241426924546278 y[1] (numeric) = 10.597811507301162414269245462785 absolute error = 5e-30 relative error = 4.7179552085403144563572994531941e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.276 y[1] (analytic) = 10.599280777774156255408809523904 y[1] (numeric) = 10.599280777774156255408809523909 absolute error = 5e-30 relative error = 4.7173012064031740257026176443035e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.277 y[1] (analytic) = 10.600750251945406224647237575359 y[1] (numeric) = 10.600750251945406224647237575364 absolute error = 5e-30 relative error = 4.7166472949236970272919961338610e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.278 y[1] (analytic) = 10.602219929843152853807837071505 y[1] (numeric) = 10.60221992984315285380783707151 absolute error = 5e-30 relative error = 4.7159934740893165114592914656372e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.279 y[1] (analytic) = 10.603689811495640589954295147239 y[1] (numeric) = 10.603689811495640589954295147243 absolute error = 4e-30 relative error = 3.7722717951099738164534040413660e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (analytic) = 10.60515989693111779593348380759 y[1] (numeric) = 10.605159896931117795933483807594 absolute error = 4e-30 relative error = 3.7717488834444686710108427974909e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.281 y[1] (analytic) = 10.606630186177836750918340371315 y[1] (numeric) = 10.606630186177836750918340371319 absolute error = 4e-30 relative error = 3.7712260442648883933954579175146e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.282 y[1] (analytic) = 10.608100679264053650950823178913 y[1] (numeric) = 10.608100679264053650950823178917 absolute error = 4e-30 relative error = 3.7707032775611849972062028848750e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.283 y[1] (analytic) = 10.609571376218028609484942575502 y[1] (numeric) = 10.609571376218028609484942575506 absolute error = 4e-30 relative error = 3.7701805833233118888921727755015e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.284 y[1] (analytic) = 10.611042277068025657929867179 y[1] (numeric) = 10.611042277068025657929867179004 absolute error = 4e-30 relative error = 3.7696579615412238675595276114582e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.285 y[1] (analytic) = 10.612513381842312746193105444029 y[1] (numeric) = 10.612513381842312746193105444034 absolute error = 5e-30 relative error = 4.7114192652560964059730530985533e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.286 y[1] (analytic) = 10.613984690569161743223762532006 y[1] (numeric) = 10.61398469056916174322376253201 absolute error = 4e-30 relative error = 3.7686129353042292443900844062210e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.287 y[1] (analytic) = 10.615456203276848437555872497833 y[1] (numeric) = 10.615456203276848437555872497838 absolute error = 5e-30 relative error = 4.7101131635365490028920199998761e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.2MB, time=1.83 x[1] = 1.288 y[1] (analytic) = 10.61692791999365253785180580366 y[1] (numeric) = 10.616927919993652537851805803665 absolute error = 5e-30 relative error = 4.7094602484623342079415322904003e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.289 y[1] (analytic) = 10.61839984074785767344575217013 y[1] (numeric) = 10.618399840747857673445752170135 absolute error = 5e-30 relative error = 4.7088074238950943700064819748214e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.29 y[1] (analytic) = 10.61987196556775139488727877558 y[1] (numeric) = 10.619871965567751394887278775585 absolute error = 5e-30 relative error = 4.7081546898222834278311673829261e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.291 y[1] (analytic) = 10.621344294481625174484963813628 y[1] (numeric) = 10.621344294481625174484963813633 absolute error = 5e-30 relative error = 4.7075020462313570592927338607050e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.292 y[1] (analytic) = 10.622816827517774406850105419595 y[1] (numeric) = 10.6228168275177744068501054196 absolute error = 5e-30 relative error = 4.7068494931097726811600954751083e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.293 y[1] (analytic) = 10.624289564704498409440505976217 y[1] (numeric) = 10.624289564704498409440505976222 absolute error = 5e-30 relative error = 4.7061970304449894488528901370309e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.294 y[1] (analytic) = 10.625762506070100423104331809094 y[1] (numeric) = 10.625762506070100423104331809099 absolute error = 5e-30 relative error = 4.7055446582244682562004681378981e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.295 y[1] (analytic) = 10.627235651642887612624048282326 y[1] (numeric) = 10.627235651642887612624048282331 absolute error = 5e-30 relative error = 4.7048923764356717352009140952188e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.296 y[1] (analytic) = 10.628709001451171067260430304795 y[1] (numeric) = 10.6287090014511710672604303048 absolute error = 5e-30 relative error = 4.7042401850660642557801023024737e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.297 y[1] (analytic) = 10.630182555523265801296648257538 y[1] (numeric) = 10.630182555523265801296648257544 absolute error = 6e-30 relative error = 5.6443057009237343106609425744552e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.298 y[1] (analytic) = 10.631656313887490754582429352685 y[1] (numeric) = 10.63165631388749075458242935269 absolute error = 5e-30 relative error = 4.7029360735342825895717169132219e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.299 y[1] (analytic) = 10.633130276572168793078294434391 y[1] (numeric) = 10.633130276572168793078294434396 absolute error = 5e-30 relative error = 4.7022841533470458301068060006472e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = 10.63460444360562670939987023226 y[1] (numeric) = 10.634604443605626709399870232265 absolute error = 5e-30 relative error = 4.7016323235288729663843071619245e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.301 y[1] (analytic) = 10.636078815016195223362277077683 y[1] (numeric) = 10.636078815016195223362277077688 absolute error = 5e-30 relative error = 4.7009805840672370543560421464092e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.302 y[1] (analytic) = 10.637553390832208982524592093576 y[1] (numeric) = 10.637553390832208982524592093581 absolute error = 5e-30 relative error = 4.7003289349496128864566557105653e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.303 y[1] (analytic) = 10.639028171082006562734387867978 y[1] (numeric) = 10.639028171082006562734387867983 absolute error = 5e-30 relative error = 4.6996773761634769913629046685891e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.304 y[1] (analytic) = 10.640503155793930468672346621964 y[1] (numeric) = 10.64050315579393046867234662197 absolute error = 6e-30 relative error = 5.6388310892355691605035763724166e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.305 y[1] (analytic) = 10.641978344996327134396949882355 y[1] (numeric) = 10.641978344996327134396949882361 absolute error = 6e-30 relative error = 5.6380494354427017768790370183932e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.306 y[1] (analytic) = 10.643453738717546923889243669674 y[1] (numeric) = 10.64345373871754692388924366968 absolute error = 6e-30 relative error = 5.6372678900025483219128606695891e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.307 y[1] (analytic) = 10.644929336985944131597679211838 y[1] (numeric) = 10.644929336985944131597679211844 absolute error = 6e-30 relative error = 5.6364864529000889610915627198607e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.308 y[1] (analytic) = 10.64640513982987698298302919404 y[1] (numeric) = 10.646405139829876982983029194046 absolute error = 6e-30 relative error = 5.6357051241203059419485278366850e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.309 y[1] (analytic) = 10.647881147277707635063379555303 y[1] (numeric) = 10.647881147277707635063379555308 absolute error = 5e-30 relative error = 4.6957699197068196614794974860854e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (analytic) = 10.649357359357802176959196842172 y[1] (numeric) = 10.649357359357802176959196842177 absolute error = 5e-30 relative error = 4.6951189928905902727779120402859e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.311 y[1] (analytic) = 10.650833776098530630438471130033 y[1] (numeric) = 10.650833776098530630438471130038 absolute error = 5e-30 relative error = 4.6944681563057238621377457311524e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.312 y[1] (analytic) = 10.652310397528266950461934522514 y[1] (numeric) = 10.652310397528266950461934522519 absolute error = 5e-30 relative error = 4.6938174099397125735882752507484e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.313 y[1] (analytic) = 10.653787223675389025728355239471 y[1] (numeric) = 10.653787223675389025728355239475 absolute error = 4e-30 relative error = 3.7545334030240402279964914353716e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.314 y[1] (analytic) = 10.655264254568278679219907304012 y[1] (numeric) = 10.655264254568278679219907304017 absolute error = 5e-30 relative error = 4.6925161878142326078223693965209e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.315 y[1] (analytic) = 10.656741490235321668747615839072 y[1] (numeric) = 10.656741490235321668747615839077 absolute error = 5e-30 relative error = 4.6918657120297568868873290856782e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.316 y[1] (analytic) = 10.658218930704907687496877983982 y[1] (numeric) = 10.658218930704907687496877983988 absolute error = 6e-30 relative error = 5.6294583916969466401502236173668e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.317 y[1] (analytic) = 10.659696576005430364573059441558 y[1] (numeric) = 10.659696576005430364573059441563 absolute error = 5e-30 relative error = 4.6905650309548293583462943994210e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.318 y[1] (analytic) = 10.661174426165287265547166666156 y[1] (numeric) = 10.661174426165287265547166666161 absolute error = 5e-30 relative error = 4.6899148256393809049964557623512e-29 % Correct digits = 30 h = 0.001 memory used=41.9MB, alloc=4.2MB, time=2.02 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.319 y[1] (analytic) = 10.662652481212879893001594703215 y[1] (numeric) = 10.66265248121287989300159470322 absolute error = 5e-30 relative error = 4.6892647104552811159167446366340e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (analytic) = 10.664130741176613687075950690748 y[1] (numeric) = 10.664130741176613687075950690752 absolute error = 4e-30 relative error = 3.7508917483120287992826900534436e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.321 y[1] (analytic) = 10.665609206084898026012953033283 y[1] (numeric) = 10.665609206084898026012953033288 absolute error = 5e-30 relative error = 4.6879647504311532944675273969488e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.322 y[1] (analytic) = 10.667087875966146226704406258756 y[1] (numeric) = 10.667087875966146226704406258761 absolute error = 5e-30 relative error = 4.6873149055661424735953955099031e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.323 y[1] (analytic) = 10.668566750848775545237251568822 y[1] (numeric) = 10.668566750848775545237251568827 absolute error = 5e-30 relative error = 4.6866651507825147395080173459980e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.324 y[1] (analytic) = 10.670045830761207177439693093102 y[1] (numeric) = 10.670045830761207177439693093107 absolute error = 5e-30 relative error = 4.6860154860677830264213261967232e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.325 y[1] (analytic) = 10.671525115731866259427399857849 y[1] (numeric) = 10.671525115731866259427399857854 absolute error = 5e-30 relative error = 4.6853659114094619995061602687061e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.326 y[1] (analytic) = 10.673004605789181868149783479538 y[1] (numeric) = 10.673004605789181868149783479543 absolute error = 5e-30 relative error = 4.6847164267950680546483180133877e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.327 y[1] (analytic) = 10.67448430096158702193635159387 y[1] (numeric) = 10.674484300961587021936351593875 absolute error = 5e-30 relative error = 4.6840670322121193182086467177905e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.328 y[1] (analytic) = 10.675964201277518681043137030694 y[1] (numeric) = 10.675964201277518681043137030699 absolute error = 5e-30 relative error = 4.6834177276481356467831643517634e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.329 y[1] (analytic) = 10.677444306765417748199202745352 y[1] (numeric) = 10.677444306765417748199202745357 absolute error = 5e-30 relative error = 4.6827685130906386269632146670934e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.33 y[1] (analytic) = 10.678924617453729069153222516941 y[1] (numeric) = 10.678924617453729069153222516946 absolute error = 5e-30 relative error = 4.6821193885271515750956555438790e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.331 y[1] (analytic) = 10.680405133370901433220137424006 y[1] (numeric) = 10.680405133370901433220137424011 absolute error = 5e-30 relative error = 4.6814703539451995370430805795503e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.332 y[1] (analytic) = 10.681885854545387573827888108161 y[1] (numeric) = 10.681885854545387573827888108167 absolute error = 6e-30 relative error = 5.6169856911987711455328886991214e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.333 y[1] (analytic) = 10.683366781005644169064222836157 y[1] (numeric) = 10.683366781005644169064222836162 absolute error = 5e-30 relative error = 4.6801725546760093319734982997510e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.334 y[1] (analytic) = 10.684847912780131842223581370882 y[1] (numeric) = 10.684847912780131842223581370888 absolute error = 6e-30 relative error = 5.6154285479565958825233796463303e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.335 y[1] (analytic) = 10.68632924989731516235405466184 y[1] (numeric) = 10.686329249897315162354054661846 absolute error = 6e-30 relative error = 5.6146501382199635518325342174581e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.336 y[1] (analytic) = 10.687810792385662644804420365582 y[1] (numeric) = 10.687810792385662644804420365587 absolute error = 5e-30 relative error = 4.6782265303219621950921439172101e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.337 y[1] (analytic) = 10.689292540273646751771254206626 y[1] (numeric) = 10.689292540273646751771254206631 absolute error = 5e-30 relative error = 4.6775780353673430257214348586731e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.338 y[1] (analytic) = 10.690774493589743892846117189378 y[1] (numeric) = 10.690774493589743892846117189383 absolute error = 5e-30 relative error = 4.6769296303069825975100575320361e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.339 y[1] (analytic) = 10.692256652362434425562818671559 y[1] (numeric) = 10.692256652362434425562818671564 absolute error = 5e-30 relative error = 4.6762813151284197838184560758032e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (analytic) = 10.693739016620202655944755309666 y[1] (numeric) = 10.69373901662020265594475530967 absolute error = 4e-30 relative error = 3.7405064718553561482930398449078e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.341 y[1] (analytic) = 10.695221586391536839052325886978 y[1] (numeric) = 10.695221586391536839052325886983 absolute error = 5e-30 relative error = 4.6749849543668511299930369790314e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.342 y[1] (analytic) = 10.696704361704929179530422034642 y[1] (numeric) = 10.696704361704929179530422034646 absolute error = 4e-30 relative error = 3.7394695270071453379347853956080e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.343 y[1] (analytic) = 10.698187342588875832155994856333 y[1] (numeric) = 10.698187342588875832155994856337 absolute error = 4e-30 relative error = 3.7389511623863860752027474305450e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.344 y[1] (analytic) = 10.699670529071876902385697467043 y[1] (numeric) = 10.699670529071876902385697467048 absolute error = 5e-30 relative error = 4.6730410870265514025103341556163e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.345 y[1] (analytic) = 10.701153921182436446903603456506 y[1] (numeric) = 10.701153921182436446903603456511 absolute error = 5e-30 relative error = 4.6723933108771873318639467549094e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.346 y[1] (analytic) = 10.702637518949062474169001287778 y[1] (numeric) = 10.702637518949062474169001287783 absolute error = 5e-30 relative error = 4.6717456245224413419120830328405e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.347 y[1] (analytic) = 10.704121322400266944964264641525 y[1] (numeric) = 10.70412132240026694496426464153 absolute error = 5e-30 relative error = 4.6710980279498661181863523200279e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.348 y[1] (analytic) = 10.70560533156456577294279871652 y[1] (numeric) = 10.705605331564565772942798716524 absolute error = 4e-30 relative error = 3.7363604169176128573303586723898e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=45.7MB, alloc=4.3MB, time=2.21 TOP MAIN SOLVE Loop x[1] = 1.349 y[1] (analytic) = 10.707089546470478825177062496898 y[1] (numeric) = 10.707089546470478825177062496902 absolute error = 4e-30 relative error = 3.7358424832811578708187747047904e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (analytic) = 10.708573967146529922706666996695 y[1] (numeric) = 10.7085739671465299227066669967 absolute error = 5e-30 relative error = 4.6691557768007177799157656156172e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.351 y[1] (analytic) = 10.710058593621246841086549492207 y[1] (numeric) = 10.710058593621246841086549492211 absolute error = 4e-30 relative error = 3.7348068313859095853718676647606e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.352 y[1] (analytic) = 10.711543425923161310935223752688 y[1] (numeric) = 10.711543425923161310935223752693 absolute error = 5e-30 relative error = 4.6678613913840162542837297972450e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.353 y[1] (analytic) = 10.71302846408080901848310627996 y[1] (numeric) = 10.713028464080809018483106279964 absolute error = 4e-30 relative error = 3.7337714665945349057876140248300e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.354 y[1] (analytic) = 10.714513708122729606120918567425 y[1] (numeric) = 10.714513708122729606120918567429 absolute error = 4e-30 relative error = 3.7332538918379270993514085556672e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.355 y[1] (analytic) = 10.71599915807746667294816538906 y[1] (numeric) = 10.715999158077466672948165389065 absolute error = 5e-30 relative error = 4.6659204860343034625410368775204e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.356 y[1] (analytic) = 10.717484813973567775321689128914 y[1] (numeric) = 10.717484813973567775321689128919 absolute error = 5e-30 relative error = 4.6652736969414206032149895061647e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.357 y[1] (analytic) = 10.718970675839584427404300161649 y[1] (numeric) = 10.718970675839584427404300161653 absolute error = 4e-30 relative error = 3.7317015980050641803435297006957e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.358 y[1] (analytic) = 10.720456743704072101713483294675 y[1] (numeric) = 10.720456743704072101713483294679 absolute error = 4e-30 relative error = 3.7311843101732831851654926414631e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.359 y[1] (analytic) = 10.72194301759559022967018028243 y[1] (numeric) = 10.721943017595590229670180282434 absolute error = 4e-30 relative error = 3.7306670940478521971082637069964e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (analytic) = 10.723429497542702202147648423336 y[1] (numeric) = 10.723429497542702202147648423339 absolute error = 3e-30 relative error = 2.7976124622141234707276306278666e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.361 y[1] (analytic) = 10.724916183573975370020395249986 y[1] (numeric) = 10.724916183573975370020395249989 absolute error = 3e-30 relative error = 2.7972246576572114495648575111021e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.362 y[1] (analytic) = 10.72640307571798104471318932312 y[1] (numeric) = 10.726403075717981044713189323124 absolute error = 4e-30 relative error = 3.7291158758102669461383451287829e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.363 y[1] (analytic) = 10.727890174003294498750147139929 y[1] (numeric) = 10.727890174003294498750147139933 absolute error = 4e-30 relative error = 3.7285989464108505456285676466422e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.364 y[1] (analytic) = 10.729377478458494966303896167241 y[1] (numeric) = 10.729377478458494966303896167246 absolute error = 5e-30 relative error = 4.6601026108351228996132492834412e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.365 y[1] (analytic) = 10.730864989112165643744814010155 y[1] (numeric) = 10.730864989112165643744814010159 absolute error = 4e-30 relative error = 3.7275653025720772338976419995000e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.366 y[1] (analytic) = 10.732352705992893690190343726655 y[1] (numeric) = 10.732352705992893690190343726659 absolute error = 4e-30 relative error = 3.7270485881128556307384156472030e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.367 y[1] (analytic) = 10.733840629129270228054385298791 y[1] (numeric) = 10.733840629129270228054385298795 absolute error = 4e-30 relative error = 3.7265319452805032294262916124278e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.368 y[1] (analytic) = 10.735328758549890343596763270958 y[1] (numeric) = 10.735328758549890343596763270962 absolute error = 4e-30 relative error = 3.7260153740650911257084507643628e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.369 y[1] (analytic) = 10.736817094283353087472770565848 y[1] (numeric) = 10.736817094283353087472770565851 absolute error = 3e-30 relative error = 2.7941241558425188437563015396897e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 6.579e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (analytic) = 10.738305636358261475282788488629 y[1] (numeric) = 10.738305636358261475282788488633 absolute error = 4e-30 relative error = 3.7249824464453790755685274135601e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.371 y[1] (analytic) = 10.739794384803222488121982929927 y[1] (numeric) = 10.739794384803222488121982929931 absolute error = 4e-30 relative error = 3.7244660900212282015926531191797e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.372 y[1] (analytic) = 10.741283339646847073130076778148 y[1] (numeric) = 10.741283339646847073130076778152 absolute error = 4e-30 relative error = 3.7239498051743157697219809087224e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.373 y[1] (analytic) = 10.742772500917750144041198551737 y[1] (numeric) = 10.742772500917750144041198551741 absolute error = 4e-30 relative error = 3.7234335918947197555110455555179e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.374 y[1] (analytic) = 10.744261868644550581733807261923 y[1] (numeric) = 10.744261868644550581733807261926 absolute error = 3e-30 relative error = 2.7921880876293896324277741537625e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.375 y[1] (analytic) = 10.745751442855871234780693516515 y[1] (numeric) = 10.745751442855871234780693516519 absolute error = 4e-30 relative error = 3.7224013799977957590424534782570e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.376 y[1] (analytic) = 10.747241223580338919999056875339 y[1] (numeric) = 10.747241223580338919999056875343 absolute error = 4e-30 relative error = 3.7218853813606306040778530040629e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.377 y[1] (analytic) = 10.748731210846584423000659467862 y[1] (numeric) = 10.748731210846584423000659467866 absolute error = 4e-30 relative error = 3.7213694542511075209778687096488e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.378 y[1] (analytic) = 10.750221404683242498742055883595 y[1] (numeric) = 10.750221404683242498742055883599 absolute error = 4e-30 relative error = 3.7208535986593113603373225326293e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.379 y[1] (analytic) = 10.751711805118951872074899345844 y[1] (numeric) = 10.751711805118951872074899345848 memory used=49.5MB, alloc=4.3MB, time=2.39 absolute error = 4e-30 relative error = 3.7203378145753283471873365507733e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.38 y[1] (analytic) = 10.753202412182355238296324179379 y[1] (numeric) = 10.753202412182355238296324179383 absolute error = 4e-30 relative error = 3.7198221019892460808048088591756e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.381 y[1] (analytic) = 10.754693225902099263699404582606 y[1] (numeric) = 10.75469322590209926369940458261 absolute error = 4e-30 relative error = 3.7193064608911535345219158578486e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.382 y[1] (analytic) = 10.756184246306834586123689714819 y[1] (numeric) = 10.756184246306834586123689714823 absolute error = 4e-30 relative error = 3.7187908912711410555356409460731e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.383 y[1] (analytic) = 10.757675473425215815505815109107 y[1] (numeric) = 10.75767547342521581550581510911 absolute error = 3e-30 relative error = 2.7887065448394752735379972148882e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.384 y[1] (analytic) = 10.759166907285901534430190421504 y[1] (numeric) = 10.759166907285901534430190421508 absolute error = 4e-30 relative error = 3.7177599664257245564222709687954e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.385 y[1] (analytic) = 10.760658547917554298679763526968 y[1] (numeric) = 10.760658547917554298679763526972 absolute error = 4e-30 relative error = 3.7172446111805080982993055688010e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.386 y[1] (analytic) = 10.762150395348840637786860972759 y[1] (numeric) = 10.762150395348840637786860972763 absolute error = 4e-30 relative error = 3.7167293273737468311004597668367e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.387 y[1] (analytic) = 10.763642449608431055584104799817 y[1] (numeric) = 10.76364244960843105558410479982 absolute error = 3e-30 relative error = 2.7871605862466534763679547656504e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.388 y[1] (analytic) = 10.765134710725000030755405742722 y[1] (numeric) = 10.765134710725000030755405742726 absolute error = 4e-30 relative error = 3.7156989740359800968571516245788e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.389 y[1] (analytic) = 10.766627178727226017387032818829 y[1] (numeric) = 10.766627178727226017387032818833 absolute error = 4e-30 relative error = 3.7151839044851731751197488132510e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.39 y[1] (analytic) = 10.768119853643791445518759317157 y[1] (numeric) = 10.76811985364379144551875931716 absolute error = 3e-30 relative error = 2.7860016797499139009050284353410e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.391 y[1] (analytic) = 10.769612735503382721695085197635 y[1] (numeric) = 10.769612735503382721695085197638 absolute error = 3e-30 relative error = 2.7856154846776641588985589014373e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.392 y[1] (analytic) = 10.771105824334690229516535911301 y[1] (numeric) = 10.771105824334690229516535911305 absolute error = 4e-30 relative error = 3.7136391241862782824688091295582e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.393 y[1] (analytic) = 10.772599120166408330191037652038 y[1] (numeric) = 10.772599120166408330191037652042 absolute error = 4e-30 relative error = 3.7131243401715021934985325853950e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.394 y[1] (analytic) = 10.774092623027235363085369050445 y[1] (numeric) = 10.774092623027235363085369050448 absolute error = 3e-30 relative error = 2.7844572206369980727610711387261e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.395 y[1] (analytic) = 10.775586332945873646276689320451 y[1] (numeric) = 10.775586332945873646276689320455 absolute error = 4e-30 relative error = 3.7120949862098721831360899199892e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.396 y[1] (analytic) = 10.777080249951029477104142869268 y[1] (numeric) = 10.777080249951029477104142869272 absolute error = 4e-30 relative error = 3.7115804162432360131820911632083e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.397 y[1] (analytic) = 10.778574374071413132720540381267 y[1] (numeric) = 10.778574374071413132720540381271 absolute error = 4e-30 relative error = 3.7110659176061998528165756918600e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.398 y[1] (analytic) = 10.780068705335738870644116386406 y[1] (numeric) = 10.78006870533573887064411638641 absolute error = 4e-30 relative error = 3.7105514902888760051908750593579e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.399 y[1] (analytic) = 10.781563243772724929310363323797 y[1] (numeric) = 10.781563243772724929310363323801 absolute error = 4e-30 relative error = 3.7100371342813781440871523115901e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = 10.783057989411093528623942111019 y[1] (numeric) = 10.783057989411093528623942111023 absolute error = 4e-30 relative error = 3.7095228495738213137284053774981e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.401 y[1] (analytic) = 10.784552942279570870510669229784 y[1] (numeric) = 10.784552942279570870510669229788 absolute error = 4e-30 relative error = 3.7090086361563219285884967969529e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.402 y[1] (analytic) = 10.786048102406887139469580338572 y[1] (numeric) = 10.786048102406887139469580338576 absolute error = 4e-30 relative error = 3.7084944940189977732022097822757e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.403 y[1] (analytic) = 10.787543469821776503125070422834 y[1] (numeric) = 10.787543469821776503125070422838 absolute error = 4e-30 relative error = 3.7079804231519680019753306097556e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.404 y[1] (analytic) = 10.789039044552977112779110493378 y[1] (numeric) = 10.789039044552977112779110493382 absolute error = 4e-30 relative error = 3.7074664235453531389947573375143e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.405 y[1] (analytic) = 10.790534826629231103963540843552 y[1] (numeric) = 10.790534826629231103963540843556 absolute error = 4e-30 relative error = 3.7069524951892750778386348460666e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.406 y[1] (analytic) = 10.79203081607928459699244087584 y[1] (numeric) = 10.792030816079284596992440875845 absolute error = 5e-30 relative error = 4.6330482975923213517331452474101e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.407 y[1] (analytic) = 10.79352701293188769751457550848 y[1] (numeric) = 10.793527012931887697514575508484 absolute error = 4e-30 relative error = 3.7059248521892237816295503126236e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.408 y[1] (analytic) = 10.795023417215794497065918172721 y[1] (numeric) = 10.795023417215794497065918172725 absolute error = 4e-30 relative error = 3.7054111375255011794806959534487e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.409 y[1] (analytic) = 10.796520028959763073622250411352 y[1] (numeric) = 10.796520028959763073622250411357 absolute error = 5e-30 relative error = 4.6311218675910208057312025279146e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=53.4MB, alloc=4.3MB, time=2.58 TOP MAIN SOLVE Loop x[1] = 1.41 y[1] (analytic) = 10.798016848192555492151838089104 y[1] (numeric) = 10.798016848192555492151838089109 absolute error = 5e-30 relative error = 4.6304799022766236439120926989455e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 109.5 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 1.411 y[1] (analytic) = 10.799513874942937805168184225551 y[1] (numeric) = 10.799513874942937805168184225556 absolute error = 5e-30 relative error = 4.6298380259513476220684595523706e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.412 y[1] (analytic) = 10.801011109239680053282858461148 y[1] (numeric) = 10.801011109239680053282858461153 absolute error = 5e-30 relative error = 4.6291962386028570835788832298898e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.413 y[1] (analytic) = 10.802508551111556265758403167006 y[1] (numeric) = 10.80250855111155626575840316701 absolute error = 4e-30 relative error = 3.7028436321750544654308294247695e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.414 y[1] (analytic) = 10.80400620058734446106131620905 y[1] (numeric) = 10.804006200587344461061316209054 absolute error = 4e-30 relative error = 3.7023303446295187038177207109371e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.415 y[1] (analytic) = 10.805504057695826647415110377179 y[1] (numeric) = 10.805504057695826647415110377183 absolute error = 4e-30 relative error = 3.7018171282358139600776091627073e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.416 y[1] (analytic) = 10.807002122465788823353449490055 y[1] (numeric) = 10.807002122465788823353449490059 absolute error = 4e-30 relative error = 3.7013039829840771796687920237106e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.417 y[1] (analytic) = 10.808500394926020978273361186154 y[1] (numeric) = 10.808500394926020978273361186157 absolute error = 3e-30 relative error = 2.7755931816483350064483642670292e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.418 y[1] (analytic) = 10.80999887510531709298852641171 y[1] (numeric) = 10.809998875105317092988526411714 absolute error = 4e-30 relative error = 3.7002779058670621265633026106703e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.419 y[1] (analytic) = 10.811497563032475140282645616192 y[1] (numeric) = 10.811497563032475140282645616196 absolute error = 4e-30 relative error = 3.6997649739820645800997544695497e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = 10.81299645873629708546288166593 y[1] (numeric) = 10.812996458736297085462881665934 absolute error = 4e-30 relative error = 3.6992521131995964490547816223590e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.421 y[1] (analytic) = 10.814495562245588886913379486549 y[1] (numeric) = 10.814495562245588886913379486554 absolute error = 5e-30 relative error = 4.6234241543872518913328860095725e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.422 y[1] (analytic) = 10.815994873589160496648862444837 y[1] (numeric) = 10.815994873589160496648862444841 absolute error = 4e-30 relative error = 3.6982266049028249180398271147616e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.423 y[1] (analytic) = 10.817494392795825860868305480674 y[1] (numeric) = 10.817494392795825860868305480679 absolute error = 5e-30 relative error = 4.6221424467110164699487527617286e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.424 y[1] (analytic) = 10.8189941198944029205086849997 y[1] (numeric) = 10.818994119894402920508684999705 absolute error = 5e-30 relative error = 4.6215017261223927058703860159032e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.425 y[1] (analytic) = 10.820494054913713611798805537313 y[1] (numeric) = 10.820494054913713611798805537318 absolute error = 5e-30 relative error = 4.6208610943503464097796142879797e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.426 y[1] (analytic) = 10.821994197882583866813203204686 y[1] (numeric) = 10.821994197882583866813203204691 absolute error = 5e-30 relative error = 4.6202205513825658430290641593216e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.427 y[1] (analytic) = 10.823494548829843614026125927422 y[1] (numeric) = 10.823494548829843614026125927428 absolute error = 6e-30 relative error = 5.5434961166480891683469396192222e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.428 y[1] (analytic) = 10.824995107784326778865590487501 y[1] (numeric) = 10.824995107784326778865590487507 absolute error = 6e-30 relative error = 5.5427276781726761711735960434547e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.429 y[1] (analytic) = 10.826495874774871284267516379166 y[1] (numeric) = 10.826495874774871284267516379171 absolute error = 5e-30 relative error = 4.6182994551817267306918999715029e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (analytic) = 10.827996849830319051229936489397 y[1] (numeric) = 10.827996849830319051229936489402 absolute error = 5e-30 relative error = 4.6176592673079258243018130512231e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.431 y[1] (analytic) = 10.82949803297951599936728461363 y[1] (numeric) = 10.829498032979515999367284613636 absolute error = 6e-30 relative error = 5.5404230018122290588604452060374e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.432 y[1] (analytic) = 10.830999424251312047464759817366 y[1] (numeric) = 10.830999424251312047464759817372 absolute error = 6e-30 relative error = 5.5396549893314644831784950391400e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.433 y[1] (analytic) = 10.832501023674561114032767654318 y[1] (numeric) = 10.832501023674561114032767654324 absolute error = 6e-30 relative error = 5.5388870833124575056482818591708e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.434 y[1] (analytic) = 10.834002831278121117861438251772 y[1] (numeric) = 10.834002831278121117861438251778 absolute error = 6e-30 relative error = 5.5381192837404504157966578436447e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.435 y[1] (analytic) = 10.835504847090853978575221273798 y[1] (numeric) = 10.835504847090853978575221273804 absolute error = 6e-30 relative error = 5.5373515906006875488617551897292e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.436 y[1] (analytic) = 10.83700707114162561718755777298 y[1] (numeric) = 10.837007071141625617187557772986 absolute error = 6e-30 relative error = 5.5365840038784152855094099695013e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.437 y[1] (analytic) = 10.838509503459305956655628941322 y[1] (numeric) = 10.838509503459305956655628941328 absolute error = 6e-30 relative error = 5.5358165235588820515496252944816e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.438 y[1] (analytic) = 10.840012144072768922435181770989 y[1] (numeric) = 10.840012144072768922435181770995 absolute error = 6e-30 relative error = 5.5350491496273383176530737839964e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.439 y[1] (analytic) = 10.841514993010892443035431635554 y[1] (numeric) = 10.84151499301089244303543163556 absolute error = 6e-30 relative error = 5.5342818820690365990676393319158e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=57.2MB, alloc=4.3MB, time=2.76 x[1] = 1.44 y[1] (analytic) = 10.843018050302558450574041802402 y[1] (numeric) = 10.843018050302558450574041802407 absolute error = 5e-30 relative error = 4.6112622673910262127791651386055e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.441 y[1] (analytic) = 10.844521315976652881332179886968 y[1] (numeric) = 10.844521315976652881332179886973 absolute error = 5e-30 relative error = 4.6106230550109829083393659972407e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.442 y[1] (analytic) = 10.846024790062065676309651259475 y[1] (numeric) = 10.84602479006206567630965125948 absolute error = 5e-30 relative error = 4.6099839312384494586362697025230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.443 y[1] (analytic) = 10.847528472587690781780109414829 y[1] (numeric) = 10.847528472587690781780109414834 absolute error = 5e-30 relative error = 4.6093448960611431059389866181037e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.444 y[1] (analytic) = 10.849032363582426149846343316358 y[1] (numeric) = 10.849032363582426149846343316364 absolute error = 6e-30 relative error = 5.5304471393601393541804619224522e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.445 y[1] (analytic) = 10.850536463075173738995641724057 y[1] (numeric) = 10.850536463075173738995641724062 absolute error = 5e-30 relative error = 4.6080670914430891735710718756801e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.446 y[1] (analytic) = 10.852040771094839514655234518006 y[1] (numeric) = 10.852040771094839514655234518011 absolute error = 5e-30 relative error = 4.6074283219777845906634076093840e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.447 y[1] (analytic) = 10.853545287670333449747811027655 y[1] (numeric) = 10.85354528767033344974781102766 absolute error = 5e-30 relative error = 4.6067896410585930978155518873253e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.448 y[1] (analytic) = 10.85505001283056952524711537763 y[1] (numeric) = 10.855050012830569525247115377636 absolute error = 6e-30 relative error = 5.5273812584078885377266520560726e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.449 y[1] (analytic) = 10.856554946604465730733618860755 y[1] (numeric) = 10.85655494660446573073361886076 absolute error = 5e-30 relative error = 4.6055125448094540960654117203972e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (analytic) = 10.858060089020944064950269348952 y[1] (numeric) = 10.858060089020944064950269348956 absolute error = 4e-30 relative error = 3.6838993035639705579562577957417e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.451 y[1] (analytic) = 10.859565440108930536358317752718 y[1] (numeric) = 10.859565440108930536358317752722 absolute error = 4e-30 relative error = 3.6833886420779988871822027426169e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.452 y[1] (analytic) = 10.861070999897355163693221539851 y[1] (numeric) = 10.861070999897355163693221539855 absolute error = 4e-30 relative error = 3.6828780513798343105133656086061e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.453 y[1] (analytic) = 10.862576768415151976520625324102 y[1] (numeric) = 10.862576768415151976520625324107 absolute error = 5e-30 relative error = 4.6029594143245802929269508062555e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.454 y[1] (analytic) = 10.864082745691259015792418534455 y[1] (numeric) = 10.864082745691259015792418534459 absolute error = 4e-30 relative error = 3.6818570823076774252786353554995e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.455 y[1] (analytic) = 10.8655889317546183344028701757 y[1] (numeric) = 10.865588931754618334402870175704 absolute error = 4e-30 relative error = 3.6813467039140640099679170298082e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.456 y[1] (analytic) = 10.867095326634175997744840691013 y[1] (numeric) = 10.867095326634175997744840691016 absolute error = 3e-30 relative error = 2.7606272972017616061717640609176e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.457 y[1] (analytic) = 10.868601930358882084266070937202 y[1] (numeric) = 10.868601930358882084266070937205 absolute error = 3e-30 relative error = 2.7602446195220434996520036383450e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.458 y[1] (analytic) = 10.87010874295769068602554828334 y[1] (numeric) = 10.870108742957690686025548283343 absolute error = 3e-30 relative error = 2.7598619948890393421216869076228e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.459 y[1] (analytic) = 10.871615764459559909249949843452 y[1] (numeric) = 10.871615764459559909249949843455 absolute error = 3e-30 relative error = 2.7594794232953958072439897143556e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.46 y[1] (analytic) = 10.873122994893451874890162853968 y[1] (numeric) = 10.873122994893451874890162853971 absolute error = 3e-30 relative error = 2.7590969047337605879989162345065e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.461 y[1] (analytic) = 10.874630434288332719177882206625 y[1] (numeric) = 10.874630434288332719177882206628 absolute error = 3e-30 relative error = 2.7587144391967823965420014514915e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.462 y[1] (analytic) = 10.876138082673172594182285147522 y[1] (numeric) = 10.876138082673172594182285147525 absolute error = 3e-30 relative error = 2.7583320266771109640630332199104e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.463 y[1] (analytic) = 10.877645940076945668366783153026 y[1] (numeric) = 10.877645940076945668366783153029 absolute error = 3e-30 relative error = 2.7579496671673970406447939132017e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.464 y[1] (analytic) = 10.879154006528630127145850993222 y[1] (numeric) = 10.879154006528630127145850993225 absolute error = 3e-30 relative error = 2.7575673606602923951218216525062e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.465 y[1] (analytic) = 10.880662282057208173441932993616 y[1] (numeric) = 10.880662282057208173441932993619 absolute error = 3e-30 relative error = 2.7571851071484498149391911140239e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.466 y[1] (analytic) = 10.882170766691666028242426505791 y[1] (numeric) = 10.882170766691666028242426505794 absolute error = 3e-30 relative error = 2.7568029066245231060113139121514e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.467 y[1] (analytic) = 10.883679460460993931156742597719 y[1] (numeric) = 10.883679460460993931156742597722 absolute error = 3e-30 relative error = 2.7564207590811670925807585556859e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.468 y[1] (analytic) = 10.885188363394186140973443974435 y[1] (numeric) = 10.885188363394186140973443974438 absolute error = 3e-30 relative error = 2.7560386645110376170770899743824e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.469 y[1] (analytic) = 10.88669747552024093621746013978 y[1] (numeric) = 10.886697475520240936217460139783 absolute error = 3e-30 relative error = 2.7556566229067915399757286131516e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (analytic) = 10.888206796868160615707379809925 y[1] (numeric) = 10.888206796868160615707379809927 absolute error = 2e-30 relative error = 1.8368497561740578264378860607903e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=61.0MB, alloc=4.3MB, time=2.95 TOP MAIN SOLVE Loop x[1] = 1.471 y[1] (analytic) = 10.889716327466951499112820589378 y[1] (numeric) = 10.889716327466951499112820589381 absolute error = 3e-30 relative error = 2.7548926985665821122641784232995e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.472 y[1] (analytic) = 10.891226067345623927511875920201 y[1] (numeric) = 10.891226067345623927511875920204 absolute error = 3e-30 relative error = 2.7545108158159375715641138007773e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.473 y[1] (analytic) = 10.892736016533192263948639315126 y[1] (numeric) = 10.892736016533192263948639315129 absolute error = 3e-30 relative error = 2.7541289860018140488044599290107e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.474 y[1] (analytic) = 10.894246175058674893990805885311 y[1] (numeric) = 10.894246175058674893990805885314 absolute error = 3e-30 relative error = 2.7537472091168734925734859192198e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.475 y[1] (analytic) = 10.895756542951094226287351173432 y[1] (numeric) = 10.895756542951094226287351173436 absolute error = 4e-30 relative error = 3.6711539802050384915451756420607e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.476 y[1] (analytic) = 10.897267120239476693126287302843 y[1] (numeric) = 10.897267120239476693126287302847 absolute error = 4e-30 relative error = 3.6706450854735922132090055557353e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.477 y[1] (analytic) = 10.898777906952852750992496453506 y[1] (numeric) = 10.89877790695285275099249645351 absolute error = 4e-30 relative error = 3.6701362612850458214408565389070e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.478 y[1] (analytic) = 10.900288903120256881125641675433 y[1] (numeric) = 10.900288903120256881125641675437 absolute error = 4e-30 relative error = 3.6696275076296206716274041095976e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.479 y[1] (analytic) = 10.901800108770727590078155050343 y[1] (numeric) = 10.901800108770727590078155050347 absolute error = 4e-30 relative error = 3.6691188244975394746693532269006e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (analytic) = 10.903311523933307410273303212268 y[1] (numeric) = 10.903311523933307410273303212272 absolute error = 4e-30 relative error = 3.6686102118790262967935371700516e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.481 y[1] (analytic) = 10.90482314863704290056333023783 y[1] (numeric) = 10.904823148637042900563330237834 absolute error = 4e-30 relative error = 3.6681016697643065593650424643200e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.482 y[1] (analytic) = 10.906334982910984646787677916917 y[1] (numeric) = 10.906334982910984646787677916921 absolute error = 4e-30 relative error = 3.6675931981436070386993598501113e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.483 y[1] (analytic) = 10.90784702678418726233128341448 y[1] (numeric) = 10.907847026784187262331283414484 absolute error = 4e-30 relative error = 3.6670847970071558658745612916695e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.484 y[1] (analytic) = 10.909359280285709388682954334192 y[1] (numeric) = 10.909359280285709388682954334195 absolute error = 3e-30 relative error = 2.7499323497588868949076272663276e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.485 y[1] (analytic) = 10.910871743444613695993821194684 y[1] (numeric) = 10.910871743444613695993821194687 absolute error = 3e-30 relative error = 2.7495511546109383955595409640966e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.486 y[1] (analytic) = 10.91238441628996688363586732911 y[1] (numeric) = 10.912384416289966883635867329113 absolute error = 3e-30 relative error = 2.7491700123041955470410155844357e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.487 y[1] (analytic) = 10.913897298850839680760536218754 y[1] (numeric) = 10.913897298850839680760536218757 absolute error = 3e-30 relative error = 2.7487889228313335105400668365714e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.488 y[1] (analytic) = 10.915410391156306846857416271432 y[1] (numeric) = 10.915410391156306846857416271435 absolute error = 3e-30 relative error = 2.7484078861850284626126029810070e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.489 y[1] (analytic) = 10.916923693235447172313003055414 y[1] (numeric) = 10.916923693235447172313003055417 absolute error = 3e-30 relative error = 2.7480269023579575950416747074128e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.49 y[1] (analytic) = 10.918437205117343478969538999612 y[1] (numeric) = 10.918437205117343478969538999615 absolute error = 3e-30 relative error = 2.7476459713427991146967445232729e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.491 y[1] (analytic) = 10.919950926831082620683930570767 y[1] (numeric) = 10.91995092683108262068393057077 absolute error = 3e-30 relative error = 2.7472650931322322433929756505866e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.492 y[1] (analytic) = 10.921464858405755483886742938383 y[1] (numeric) = 10.921464858405755483886742938387 absolute error = 4e-30 relative error = 3.6625123569585829570007205705567e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.493 y[1] (analytic) = 10.92297899987045698814127213815 y[1] (numeric) = 10.922978999870456988141272138154 absolute error = 4e-30 relative error = 3.6620046601274603854052642867834e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.494 y[1] (analytic) = 10.924493351254286086702694744591 y[1] (numeric) = 10.924493351254286086702694744595 absolute error = 4e-30 relative error = 3.6614970336731849641485237304178e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.495 y[1] (analytic) = 10.926007912586345767077295063693 y[1] (numeric) = 10.926007912586345767077295063696 absolute error = 3e-30 relative error = 2.7457421081895008001141192895809e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.496 y[1] (analytic) = 10.927522683895743051581769856255 y[1] (numeric) = 10.927522683895743051581769856258 absolute error = 3e-30 relative error = 2.7453614938921158144958105280566e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.497 y[1] (analytic) = 10.929037665211588997902610602721 y[1] (numeric) = 10.929037665211588997902610602724 absolute error = 3e-30 relative error = 2.7449809323554190747919929633291e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.498 y[1] (analytic) = 10.930552856562998699655563320223 y[1] (numeric) = 10.930552856562998699655563320226 absolute error = 3e-30 relative error = 2.7446004235720969034994620352866e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.499 y[1] (analytic) = 10.932068257979091286945165942606 y[1] (numeric) = 10.932068257979091286945165942609 absolute error = 3e-30 relative error = 2.7442199675348366369357270374212e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (analytic) = 10.933583869488989926924363274182 y[1] (numeric) = 10.933583869488989926924363274185 absolute error = 3e-30 relative error = 2.7438395642363266250984754643632e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.501 y[1] (analytic) = 10.935099691121821824354199527964 y[1] (numeric) = 10.935099691121821824354199527967 absolute error = 3e-30 memory used=64.8MB, alloc=4.3MB, time=3.14 relative error = 2.7434592136692562315250568404427e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.502 y[1] (analytic) = 10.936615722906718222163588459142 y[1] (numeric) = 10.936615722906718222163588459144 absolute error = 2e-30 relative error = 1.8287192772175438887679906843861e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.503 y[1] (analytic) = 10.93813196487281440200916110455 y[1] (numeric) = 10.938131964872814402009161104553 absolute error = 3e-30 relative error = 2.7426986707001968201744660027989e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.504 y[1] (analytic) = 10.939648417049249684835191138903 y[1] (numeric) = 10.939648417049249684835191138906 absolute error = 3e-30 relative error = 2.7423184782835915959059301236778e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.505 y[1] (analytic) = 10.941165079465167431433597858534 y[1] (numeric) = 10.941165079465167431433597858537 absolute error = 3e-30 relative error = 2.7419383385691935766376038440154e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.506 y[1] (analytic) = 10.942681952149715043004026803422 y[1] (numeric) = 10.942681952149715043004026803425 absolute error = 3e-30 relative error = 2.7415582515496971914980859120367e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.507 y[1] (analytic) = 10.944199035132043961714008028259 y[1] (numeric) = 10.944199035132043961714008028262 absolute error = 3e-30 relative error = 2.7411782172177978823129490274242e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.508 y[1] (analytic) = 10.945716328441309671259192033324 y[1] (numeric) = 10.945716328441309671259192033327 absolute error = 3e-30 relative error = 2.7407982355661921034643599614845e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.509 y[1] (analytic) = 10.947233832106671697423663365934 y[1] (numeric) = 10.947233832106671697423663365937 absolute error = 3e-30 relative error = 2.7404183065875773217507191367477e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (analytic) = 10.948751546157293608640331903237 y[1] (numeric) = 10.948751546157293608640331903241 absolute error = 4e-30 relative error = 3.6533845736995360216617595510732e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.511 y[1] (analytic) = 10.95026947062234301655140182712 y[1] (numeric) = 10.950269470622343016551401827123 absolute error = 3e-30 relative error = 2.7396586066201156781610258291853e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.512 y[1] (analytic) = 10.951787605530991576568918301991 y[1] (numeric) = 10.951787605530991576568918301995 absolute error = 4e-30 relative error = 3.6523717808222250809332947227717e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.513 y[1] (analytic) = 10.953305950912414988435391866235 y[1] (numeric) = 10.953305950912414988435391866239 absolute error = 4e-30 relative error = 3.6518654896760172385643669596026e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.514 y[1] (analytic) = 10.954824506795792996784500548081 y[1] (numeric) = 10.954824506795792996784500548086 absolute error = 5e-30 relative error = 4.5641990858897509326763027101988e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.515 y[1] (analytic) = 10.956343273210309391701869716693 y[1] (numeric) = 10.956343273210309391701869716698 absolute error = 5e-30 relative error = 4.5635663973998087351613552521940e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.516 y[1] (analytic) = 10.957862250185152009285929679229 y[1] (numeric) = 10.957862250185152009285929679234 absolute error = 5e-30 relative error = 4.5629337966130358719665800522276e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.517 y[1] (analytic) = 10.959381437749512732208851034673 y[1] (numeric) = 10.959381437749512732208851034677 absolute error = 4e-30 relative error = 3.6498410268138199559104200083740e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.518 y[1] (analytic) = 10.960900835932587490277557795203 y[1] (numeric) = 10.960900835932587490277557795207 absolute error = 4e-30 relative error = 3.6493350864802961927825438846383e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.519 y[1] (analytic) = 10.962420444763576260994818285888 y[1] (numeric) = 10.962420444763576260994818285892 absolute error = 4e-30 relative error = 3.6488292162801341858498929508521e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (analytic) = 10.963940264271683070120413833485 y[1] (numeric) = 10.963940264271683070120413833489 absolute error = 4e-30 relative error = 3.6483234162036120606041279250395e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.521 y[1] (analytic) = 10.965460294486115992232385255134 y[1] (numeric) = 10.965460294486115992232385255138 absolute error = 4e-30 relative error = 3.6478176862410092901814768063327e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.522 y[1] (analytic) = 10.966980535436087151288357157725 y[1] (numeric) = 10.966980535436087151288357157729 absolute error = 4e-30 relative error = 3.6473120263826066951759246175304e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.523 y[1] (analytic) = 10.968500987150812721186940058734 y[1] (numeric) = 10.968500987150812721186940058738 absolute error = 4e-30 relative error = 3.6468064366186864434524290432618e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.524 y[1] (analytic) = 10.970021649659512926329210339314 y[1] (numeric) = 10.970021649659512926329210339318 absolute error = 4e-30 relative error = 3.6463009169395320499601619601647e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.525 y[1] (analytic) = 10.971542522991412042180268040425 y[1] (numeric) = 10.971542522991412042180268040429 absolute error = 4e-30 relative error = 3.6457954673354283765457768554941e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.526 y[1] (analytic) = 10.973063607175738395830872512808 y[1] (numeric) = 10.973063607175738395830872512812 absolute error = 4e-30 relative error = 3.6452900877966616317667021305651e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.527 y[1] (analytic) = 10.974584902241724366559155931586 y[1] (numeric) = 10.974584902241724366559155931589 absolute error = 3e-30 relative error = 2.7335885837351395280283452140862e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.528 y[1] (analytic) = 10.976106408218606386392414686286 y[1] (numeric) = 10.97610640821860638639241468629 absolute error = 4e-30 relative error = 3.6442795388762904947780129813282e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.529 y[1] (analytic) = 10.977628125135624940668978657098 y[1] (numeric) = 10.977628125135624940668978657102 absolute error = 4e-30 relative error = 3.6437743694752652515571319769327e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (analytic) = 10.979150053022024568600158388134 y[1] (numeric) = 10.979150053022024568600158388138 absolute error = 4e-30 relative error = 3.6432692701007352345757959354574e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.531 y[1] (analytic) = 10.980672191907053863832270168522 y[1] (numeric) = 10.980672191907053863832270168526 absolute error = 4e-30 relative error = 3.6427642407429933831456130983872e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.3MB, time=3.33 x[1] = 1.532 y[1] (analytic) = 10.982194541819965475008739032115 y[1] (numeric) = 10.982194541819965475008739032119 absolute error = 4e-30 relative error = 3.6422592813923339821692698226371e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.533 y[1] (analytic) = 10.983717102790016106332279686626 y[1] (numeric) = 10.98371710279001610633227968663 absolute error = 4e-30 relative error = 3.6417543920390526619540049774234e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.534 y[1] (analytic) = 10.985239874846466518127155382985 y[1] (numeric) = 10.985239874846466518127155382989 absolute error = 4e-30 relative error = 3.6412495726734463980251101972839e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.535 y[1] (analytic) = 10.986762858018581527401514735737 y[1] (numeric) = 10.986762858018581527401514735741 absolute error = 4e-30 relative error = 3.6407448232858135109394559876576e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.536 y[1] (analytic) = 10.988286052335630008409806505272 y[1] (numeric) = 10.988286052335630008409806505276 absolute error = 4e-30 relative error = 3.6402401438664536660990436794471e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.537 y[1] (analytic) = 10.989809457826884893215272352711 y[1] (numeric) = 10.989809457826884893215272352715 absolute error = 4e-30 relative error = 3.6397355344056678735645832289735e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.538 y[1] (analytic) = 10.991333074521623172252517578244 y[1] (numeric) = 10.991333074521623172252517578248 absolute error = 4e-30 relative error = 3.6392309948937584878690968597477e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.539 y[1] (analytic) = 10.992856902449125894890159853745 y[1] (numeric) = 10.992856902449125894890159853749 absolute error = 4e-30 relative error = 3.6387265253210292078315485424696e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.54 y[1] (analytic) = 10.994380941638678169993555960463 y[1] (numeric) = 10.994380941638678169993555960468 absolute error = 5e-30 relative error = 4.5477776570972313454631241370992e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.541 y[1] (analytic) = 10.995905192119569166487606542619 y[1] (numeric) = 10.995905192119569166487606542624 absolute error = 5e-30 relative error = 4.5471472449429156003972355018433e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.542 y[1] (analytic) = 10.997429653921092113919638887709 y[1] (numeric) = 10.997429653921092113919638887714 absolute error = 5e-30 relative error = 4.5465169201762239377903002983963e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.543 y[1] (analytic) = 10.998954327072544303022367744342 y[1] (numeric) = 10.998954327072544303022367744347 absolute error = 5e-30 relative error = 4.5458866827850427002667465251814e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.544 y[1] (analytic) = 11.000479211603227086276934188433 y[1] (numeric) = 11.000479211603227086276934188437 absolute error = 4e-30 relative error = 3.6362052262058079277152783398132e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.545 y[1] (analytic) = 11.002004307542445878476022548555 y[1] (numeric) = 11.00200430754244587847602254856 absolute error = 5e-30 relative error = 4.5446264700807652667002045266037e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.546 y[1] (analytic) = 11.0035296149195101572870554013 y[1] (numeric) = 11.003529614919510157287055401305 absolute error = 5e-30 relative error = 4.5439964947434501509405054562234e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.547 y[1] (analytic) = 11.005055133763733463815466647444 y[1] (numeric) = 11.005055133763733463815466647448 absolute error = 4e-30 relative error = 3.6346932853865660962922592051388e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.548 y[1] (analytic) = 11.006580864104433403168052679755 y[1] (numeric) = 11.006580864104433403168052679759 absolute error = 4e-30 relative error = 3.6341894448303459289897559727798e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.549 y[1] (analytic) = 11.00810680597093164501640165328 y[1] (numeric) = 11.008106805970931645016401653284 absolute error = 4e-30 relative error = 3.6336856741164167502785793610940e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (analytic) = 11.009632959392553924160400868914 y[1] (numeric) = 11.009632959392553924160400868918 absolute error = 4e-30 relative error = 3.6331819732350970338299843897112e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.551 y[1] (analytic) = 11.011159324398630041091822281104 y[1] (numeric) = 11.011159324398630041091822281108 absolute error = 4e-30 relative error = 3.6326783421767065953667356642408e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.552 y[1] (analytic) = 11.012685901018493862557986140508 y[1] (numeric) = 11.012685901018493862557986140512 absolute error = 4e-30 relative error = 3.6321747809315665924770724275225e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.553 y[1] (analytic) = 11.014212689281483322125502782442 y[1] (numeric) = 11.014212689281483322125502782446 absolute error = 4e-30 relative error = 3.6316712894899995244286993990097e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.554 y[1] (analytic) = 11.015739689216940420744092571951 y[1] (numeric) = 11.015739689216940420744092571955 absolute error = 4e-30 relative error = 3.6311678678423292319828033987112e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.555 y[1] (analytic) = 11.017266900854211227310484016339 y[1] (numeric) = 11.017266900854211227310484016343 absolute error = 4e-30 relative error = 3.6306645159788808972080957521151e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.556 y[1] (analytic) = 11.018794324222645879232390055998 y[1] (numeric) = 11.018794324222645879232390056002 absolute error = 4e-30 relative error = 3.6301612338899810432948804725232e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.557 y[1] (analytic) = 11.020321959351598582992562544366 y[1] (numeric) = 11.02032195935159858299256254437 absolute error = 4e-30 relative error = 3.6296580215659575343691482172222e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.558 y[1] (analytic) = 11.021849806270427614712924927867 y[1] (numeric) = 11.021849806270427614712924927871 absolute error = 4e-30 relative error = 3.6291548789971395753066960139175e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.559 y[1] (analytic) = 11.023377865008495320718783136659 y[1] (numeric) = 11.023377865008495320718783136663 absolute error = 4e-30 relative error = 3.6286518061738577115472727538603e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (analytic) = 11.02490613559516811810311469705 y[1] (numeric) = 11.024906135595168118103114697054 absolute error = 4e-30 relative error = 3.6281488030864438289087504480920e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.561 y[1] (analytic) = 11.02643461805981649529093607641 y[1] (numeric) = 11.026434618059816495290936076414 absolute error = 4e-30 relative error = 3.6276458697252311534013212432396e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.562 y[1] (analytic) = 11.027963312431815012603748271441 y[1] (numeric) = 11.027963312431815012603748271445 absolute error = 4e-30 relative error = 3.6271430060805542510417201932862e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=72.4MB, alloc=4.3MB, time=3.52 TOP MAIN SOLVE Loop x[1] = 1.563 y[1] (analytic) = 11.029492218740542302824060650636 y[1] (numeric) = 11.02949221874054230282406065064 absolute error = 4e-30 relative error = 3.6266402121427490276674737837511e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.564 y[1] (analytic) = 11.031021337015381071759993061794 y[1] (numeric) = 11.031021337015381071759993061798 absolute error = 4e-30 relative error = 3.6261374879021527287511742047054e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.565 y[1] (analytic) = 11.032550667285718098809956215423 y[1] (numeric) = 11.032550667285718098809956215428 absolute error = 5e-30 relative error = 4.5320435416863799240184742113224e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 1.566 y[1] (analytic) = 11.034080209580944237527410354902 y[1] (numeric) = 11.034080209580944237527410354907 absolute error = 5e-30 relative error = 4.5314153105924282290549233406725e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.567 y[1] (analytic) = 11.035609963930454416185702224238 y[1] (numeric) = 11.035609963930454416185702224242 absolute error = 4e-30 relative error = 3.6246297332670099241023444918118e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.568 y[1] (analytic) = 11.037139930363647638342980344283 y[1] (numeric) = 11.037139930363647638342980344287 absolute error = 4e-30 relative error = 3.6241272877186485639461094171615e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.569 y[1] (analytic) = 11.03867010890992698340718860827 y[1] (numeric) = 11.038670108909926983407188608274 absolute error = 4e-30 relative error = 3.6236249118192024436381692161588e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.57 y[1] (analytic) = 11.040200499598699607201138207519 y[1] (numeric) = 11.040200499598699607201138207523 absolute error = 4e-30 relative error = 3.6231226055590168425627115247690e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.571 y[1] (analytic) = 11.041731102459376742527657898173 y[1] (numeric) = 11.041731102459376742527657898177 absolute error = 4e-30 relative error = 3.6226203689284383784396302623180e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.572 y[1] (analytic) = 11.043261917521373699734822619831 y[1] (numeric) = 11.043261917521373699734822619835 absolute error = 4e-30 relative error = 3.6221182019178150071390057667560e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.573 y[1] (analytic) = 11.044792944814109867281260476936 y[1] (numeric) = 11.044792944814109867281260476941 absolute error = 5e-30 relative error = 4.5270201306468700281195133083155e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.574 y[1] (analytic) = 11.046324184367008712301538093787 y[1] (numeric) = 11.046324184367008712301538093791 absolute error = 4e-30 relative error = 3.6211140767178320561234413463572e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.575 y[1] (analytic) = 11.047855636209497781171624354026 y[1] (numeric) = 11.04785563620949778117162435403 absolute error = 4e-30 relative error = 3.6206121185091750772302754207678e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.576 y[1] (analytic) = 11.049387300371008700074432535492 y[1] (numeric) = 11.049387300371008700074432535497 absolute error = 5e-30 relative error = 4.5251377873523479905403181451626e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.577 y[1] (analytic) = 11.050919176880977175565440851292 y[1] (numeric) = 11.050919176880977175565440851297 absolute error = 5e-30 relative error = 4.5245105135328708069606163166451e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.578 y[1] (analytic) = 11.052451265768842995138391407956 y[1] (numeric) = 11.052451265768842995138391407961 absolute error = 5e-30 relative error = 4.5238833266659822718946407625217e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.579 y[1] (analytic) = 11.053983567064050027791067591566 y[1] (numeric) = 11.053983567064050027791067591572 absolute error = 6e-30 relative error = 5.4279074720875548390043529974257e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.58 y[1] (analytic) = 11.055516080796046224591149892721 y[1] (numeric) = 11.055516080796046224591149892727 absolute error = 6e-30 relative error = 5.4271550564901112881390045507774e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.581 y[1] (analytic) = 11.057048806994283619242150181205 y[1] (numeric) = 11.057048806994283619242150181211 absolute error = 6e-30 relative error = 5.4264027451923880599939329905511e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.582 y[1] (analytic) = 11.058581745688218328649424441251 y[1] (numeric) = 11.058581745688218328649424441258 absolute error = 7e-30 relative error = 6.3299256278765816695518418269812e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.583 y[1] (analytic) = 11.060114896907310553486263978271 y[1] (numeric) = 11.060114896907310553486263978277 absolute error = 6e-30 relative error = 5.4248984354382725390754144522112e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.584 y[1] (analytic) = 11.061648260681024578760065107919 y[1] (numeric) = 11.061648260681024578760065107926 absolute error = 7e-30 relative error = 6.3281708431117986133874827518424e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.585 y[1] (analytic) = 11.0631818370388287743785773384 y[1] (numeric) = 11.063181837038828774378577338406 absolute error = 6e-30 relative error = 5.4233945427095682506709866487830e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.586 y[1] (analytic) = 11.064715626010195595716230056861 y[1] (numeric) = 11.064715626010195595716230056867 absolute error = 6e-30 relative error = 5.4226427526936165767103819645152e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.587 y[1] (analytic) = 11.066249627624601584180537730797 y[1] (numeric) = 11.066249627624601584180537730803 absolute error = 6e-30 relative error = 5.4218910668906672269815573522635e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.588 y[1] (analytic) = 11.067783841911527367778583635318 y[1] (numeric) = 11.067783841911527367778583635324 absolute error = 6e-30 relative error = 5.4211394852862742130795158829387e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.589 y[1] (analytic) = 11.069318268900457661683582117187 y[1] (numeric) = 11.069318268900457661683582117193 absolute error = 6e-30 relative error = 5.4203880078659935490996813334146e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.59 y[1] (analytic) = 11.070852908620881268801519406504 y[1] (numeric) = 11.070852908620881268801519406511 absolute error = 7e-30 relative error = 6.3229094070512804599203639109268e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.591 y[1] (analytic) = 11.07238776110229108033787298694 y[1] (numeric) = 11.072387761102291080337872986946 absolute error = 6e-30 relative error = 5.4188853655200033381249525327752e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.592 y[1] (analytic) = 11.07392282637418407636440953539 y[1] (numeric) = 11.073922826374184076364409535396 absolute error = 6e-30 relative error = 5.4181342005654158293249253887874e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=76.2MB, alloc=4.3MB, time=3.71 x[1] = 1.593 y[1] (analytic) = 11.075458104466061326386061441967 y[1] (numeric) = 11.075458104466061326386061441973 absolute error = 6e-30 relative error = 5.4173831397371847462818592265632e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.594 y[1] (analytic) = 11.076993595407427989907881921205 y[1] (numeric) = 11.076993595407427989907881921211 absolute error = 6e-30 relative error = 5.4166321830208761114302569088124e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.595 y[1] (analytic) = 11.078529299227793317002078725381 y[1] (numeric) = 11.078529299227793317002078725386 absolute error = 5e-30 relative error = 4.5132344420017149567000845872240e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.596 y[1] (analytic) = 11.080065215956670648875126470848 y[1] (numeric) = 11.080065215956670648875126470853 absolute error = 5e-30 relative error = 4.5126088182219168999495840171474e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.597 y[1] (analytic) = 11.081601345623577418434957588283 y[1] (numeric) = 11.081601345623577418434957588289 absolute error = 6e-30 relative error = 5.4143799373991751312373703781449e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.598 y[1] (analytic) = 11.083137688258035150858231907748 y[1] (numeric) = 11.083137688258035150858231907753 absolute error = 5e-30 relative error = 4.5113578308218804383717956946961e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.599 y[1] (analytic) = 11.084674243889569464157684889454 y[1] (numeric) = 11.08467424388956946415768488946 absolute error = 6e-30 relative error = 5.4128789606131204882045878337688e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 2.404e+29 TOP MAIN SOLVE Loop x[1] = 1.6 y[1] (analytic) = 11.08621101254771006974955451116 y[1] (numeric) = 11.086211012547710069749554511166 absolute error = 6e-30 relative error = 5.4121286282653450410004903025014e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.601 y[1] (analytic) = 11.087747994261990773021086823079 y[1] (numeric) = 11.087747994261990773021086823084 absolute error = 5e-30 relative error = 4.5094819999404251724113392945518e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.602 y[1] (analytic) = 11.089285189061949473898120181216 y[1] (numeric) = 11.089285189061949473898120181222 absolute error = 6e-30 relative error = 5.4106282755881980072384824227166e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.603 y[1] (analytic) = 11.090822596977128167412748170052 y[1] (numeric) = 11.090822596977128167412748170058 absolute error = 6e-30 relative error = 5.4098782552299924620073728165262e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.604 y[1] (analytic) = 11.092360218037072944271061225459 y[1] (numeric) = 11.092360218037072944271061225465 absolute error = 6e-30 relative error = 5.4091283388394795895131996687919e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.605 y[1] (analytic) = 11.093898052271333991420966968782 y[1] (numeric) = 11.093898052271333991420966968789 absolute error = 7e-30 relative error = 6.3097749474692886404879625199852e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.606 y[1] (analytic) = 11.095436099709465592620089262989 y[1] (numeric) = 11.095436099709465592620089262996 absolute error = 7e-30 relative error = 6.3089002875545335803667604243070e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.607 y[1] (analytic) = 11.096974360381026129003746001798 y[1] (numeric) = 11.096974360381026129003746001805 absolute error = 7e-30 relative error = 6.3080257488849850210203061346373e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.608 y[1] (analytic) = 11.098512834315578079653005642711 y[1] (numeric) = 11.098512834315578079653005642718 absolute error = 7e-30 relative error = 6.3071513314438359728387783146871e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.609 y[1] (analytic) = 11.100051521542688022162822494858 y[1] (numeric) = 11.100051521542688022162822494865 absolute error = 7e-30 relative error = 6.3062770352142817759943560640970e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.61 y[1] (analytic) = 11.101590422091926633210250772576 y[1] (numeric) = 11.101590422091926633210250772583 absolute error = 7e-30 relative error = 6.3054028601795201001182649394345e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.611 y[1] (analytic) = 11.103129535992868689122737425643 y[1] (numeric) = 11.10312953599286868912273742565 absolute error = 7e-30 relative error = 6.3045288063227509439778677430155e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.612 y[1] (analytic) = 11.10466886327509306644649375709 y[1] (numeric) = 11.104668863275093066446493757097 absolute error = 7e-30 relative error = 6.3036548736271766351538000733438e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.613 y[1] (analytic) = 11.106208403968182742514945839506 y[1] (numeric) = 11.106208403968182742514945839513 absolute error = 7e-30 relative error = 6.3027810620760018297171506309681e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.614 y[1] (analytic) = 11.107748158101724796017263740769 y[1] (numeric) = 11.107748158101724796017263740776 absolute error = 7e-30 relative error = 6.3019073716524335119066862735477e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.615 y[1] (analytic) = 11.109288125705310407566969570129 y[1] (numeric) = 11.109288125705310407566969570136 absolute error = 7e-30 relative error = 6.3010338023396809938061218139238e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.616 y[1] (analytic) = 11.110828306808534860270624355564 y[1] (numeric) = 11.110828306808534860270624355571 absolute error = 7e-30 relative error = 6.3001603541209559150214345549980e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.617 y[1] (analytic) = 11.112368701440997540296593763343 y[1] (numeric) = 11.11236870144099754029659376335 absolute error = 7e-30 relative error = 6.2992870269794722423582235552132e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.618 y[1] (analytic) = 11.113909309632301937443892670727 y[1] (numeric) = 11.113909309632301937443892670734 absolute error = 7e-30 relative error = 6.2984138208984462694991136184376e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.619 y[1] (analytic) = 11.115450131412055645711108602734 y[1] (numeric) = 11.115450131412055645711108602742 absolute error = 8e-30 relative error = 7.1971894124126818476356617166330e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.62 y[1] (analytic) = 11.116991166809870363865404043917 y[1] (numeric) = 11.116991166809870363865404043924 absolute error = 7e-30 relative error = 6.2966677718506442303735618370466e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.621 y[1] (analytic) = 11.118532415855361896011597636062 y[1] (numeric) = 11.118532415855361896011597636069 absolute error = 7e-30 relative error = 6.2957949288503123829547602539069e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.622 y[1] (analytic) = 11.120073878578150152161324272781 y[1] (numeric) = 11.120073878578150152161324272787 absolute error = 6e-30 relative error = 5.3956476058657085763346810355432e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.623 y[1] (analytic) = 11.121615555007859148802274101898 y[1] (numeric) = 11.121615555007859148802274101904 absolute error = 6e-30 relative error = 5.3948996621253557330666082849939e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=80.1MB, alloc=4.3MB, time=3.90 TOP MAIN SOLVE Loop x[1] = 1.624 y[1] (analytic) = 11.123157445174117009467510446601 y[1] (numeric) = 11.123157445174117009467510446607 absolute error = 6e-30 relative error = 5.3941518220648351540193764084166e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.625 y[1] (analytic) = 11.12469954910655596530486665628 y[1] (numeric) = 11.124699549106555965304866656287 absolute error = 7e-30 relative error = 6.2923047666147372185180219268470e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.626 y[1] (analytic) = 11.126241866834812355646421898005 y[1] (numeric) = 11.126241866834812355646421898012 absolute error = 7e-30 relative error = 6.2914325284134385354880306361978e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.627 y[1] (analytic) = 11.127784398388526628578055899577 y[1] (numeric) = 11.127784398388526628578055899584 absolute error = 7e-30 relative error = 6.2905604111216488516657111203466e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.628 y[1] (analytic) = 11.129327143797343341509082655116 y[1] (numeric) = 11.129327143797343341509082655123 absolute error = 7e-30 relative error = 6.2896884147226077117710000180237e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.629 y[1] (analytic) = 11.130870103090911161741963104113 y[1] (numeric) = 11.13087010309091116174196310412 absolute error = 7e-30 relative error = 6.2888165391995569838552536402095e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.63 y[1] (analytic) = 11.132413276298882867042096794908 y[1] (numeric) = 11.132413276298882867042096794915 absolute error = 7e-30 relative error = 6.2879447845357408589791881695241e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.631 y[1] (analytic) = 11.133956663450915346207692543542 y[1] (numeric) = 11.133956663450915346207692543549 absolute error = 7e-30 relative error = 6.2870731507144058508908645034893e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.632 y[1] (analytic) = 11.135500264576669599639718098928 y[1] (numeric) = 11.135500264576669599639718098935 absolute error = 7e-30 relative error = 6.2862016377188007957037177354802e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.633 y[1] (analytic) = 11.137044079705810739911928825306 y[1] (numeric) = 11.137044079705810739911928825313 absolute error = 7e-30 relative error = 6.2853302455321768515746312671699e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.634 y[1] (analytic) = 11.138588108868007992340975412924 y[1] (numeric) = 11.138588108868007992340975412932 absolute error = 8e-30 relative error = 7.1822388275860428552937777671880e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.635 y[1] (analytic) = 11.140132352092934695556590627917 y[1] (numeric) = 11.140132352092934695556590627924 absolute error = 7e-30 relative error = 6.2835878235188885374041714235078e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.636 y[1] (analytic) = 11.141676809410268302071855112318 y[1] (numeric) = 11.141676809410268302071855112325 absolute error = 7e-30 relative error = 6.2827167936587380909970981222593e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.637 y[1] (analytic) = 11.143221480849690378853542245194 y[1] (numeric) = 11.143221480849690378853542245201 absolute error = 7e-30 relative error = 6.2818458845405966022731458153173e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.638 y[1] (analytic) = 11.144766366440886607892542075833 y[1] (numeric) = 11.14476636644088660789254207584 absolute error = 7e-30 relative error = 6.2809750961477268347791128019489e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.639 y[1] (analytic) = 11.146311466213546786774364339972 y[1] (numeric) = 11.146311466213546786774364339978 absolute error = 6e-30 relative error = 5.3829466529686233190068233823882e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.64 y[1] (analytic) = 11.147856780197364829249720570007 y[1] (numeric) = 11.147856780197364829249720570014 absolute error = 7e-30 relative error = 6.2792338814708651179105337029127e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.641 y[1] (analytic) = 11.149402308422038765805185310179 y[1] (numeric) = 11.149402308422038765805185310186 absolute error = 7e-30 relative error = 6.2783634551534102949073237269666e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.642 y[1] (analytic) = 11.150948050917270744233936447667 y[1] (numeric) = 11.150948050917270744233936447674 absolute error = 7e-30 relative error = 6.2774931494943014452336117234376e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.643 y[1] (analytic) = 11.152494007712767030206574670592 y[1] (numeric) = 11.152494007712767030206574670599 absolute error = 7e-30 relative error = 6.2766229644768129297846548686206e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.644 y[1] (analytic) = 11.154040178838238007842022063875 y[1] (numeric) = 11.154040178838238007842022063882 absolute error = 7e-30 relative error = 6.2757529000842214279609177940672e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.645 y[1] (analytic) = 11.155586564323398180278499853938 y[1] (numeric) = 11.155586564323398180278499853945 absolute error = 7e-30 relative error = 6.2748829562998059373466817946787e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.646 y[1] (analytic) = 11.15713316419796617024458531321 y[1] (numeric) = 11.157133164197966170244585313217 absolute error = 7e-30 relative error = 6.2740131331068477733886985879381e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.647 y[1] (analytic) = 11.158679978491664720630347835421 y[1] (numeric) = 11.158679978491664720630347835428 absolute error = 7e-30 relative error = 6.2731434304886305690748886181005e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.648 y[1] (analytic) = 11.160227007234220695058564192656 y[1] (numeric) = 11.160227007234220695058564192662 absolute error = 6e-30 relative error = 5.3762347272243773782397861992878e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.649 y[1] (analytic) = 11.161774250455365078456012985141 y[1] (numeric) = 11.161774250455365078456012985147 absolute error = 6e-30 relative error = 5.3754894744939129918084131918455e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.65 y[1] (analytic) = 11.163321708184832977624848294757 y[1] (numeric) = 11.163321708184832977624848294763 absolute error = 6e-30 relative error = 5.3747443250702535430706956275074e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.651 y[1] (analytic) = 11.164869380452363621814052553243 y[1] (numeric) = 11.164869380452363621814052553249 absolute error = 6e-30 relative error = 5.3739992789390786605470355717287e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.652 y[1] (analytic) = 11.166417267287700363290968636082 y[1] (numeric) = 11.166417267287700363290968636088 absolute error = 6e-30 relative error = 5.3732543360860699578452592665765e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.653 y[1] (analytic) = 11.167965368720590677912911193055 y[1] (numeric) = 11.16796536872059067791291119306 absolute error = 5e-30 relative error = 4.4770912470807591944878705453541e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.654 y[1] (analytic) = 11.169513684780786165698857226434 y[1] (numeric) = 11.169513684780786165698857226439 absolute error = 5e-30 relative error = 4.4764706334644062251039892050132e-29 % Correct digits = 30 h = 0.001 memory used=83.9MB, alloc=4.3MB, time=4.10 NO POLE TOP MAIN SOLVE Loop x[1] = 1.655 y[1] (analytic) = 11.171062215498042551401215927826 y[1] (numeric) = 11.171062215498042551401215927831 absolute error = 5e-30 relative error = 4.4758501058774056960687524396558e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.656 y[1] (analytic) = 11.172610960902119685077677784628 y[1] (numeric) = 11.172610960902119685077677784633 absolute error = 5e-30 relative error = 4.4752296643078322333873099181607e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.657 y[1] (analytic) = 11.174159921022781542663142967104 y[1] (numeric) = 11.174159921022781542663142967109 absolute error = 5e-30 relative error = 4.4746093087437621161580972976019e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.658 y[1] (analytic) = 11.175709095889796226541729007066 y[1] (numeric) = 11.17570909588979622654172900707 absolute error = 4e-30 relative error = 3.5791912313386186210749477736886e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.659 y[1] (analytic) = 11.177258485532935966118857779149 y[1] (numeric) = 11.177258485532935966118857779153 absolute error = 4e-30 relative error = 3.5786950844675562388333256453456e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.66 y[1] (analytic) = 11.178808089981977118393421795689 y[1] (numeric) = 11.178808089981977118393421795693 absolute error = 4e-30 relative error = 3.5781990063722875358044207652113e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.661 y[1] (analytic) = 11.180357909266700168530029826181 y[1] (numeric) = 11.180357909266700168530029826185 absolute error = 4e-30 relative error = 3.5777029970432788233325388739929e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.662 y[1] (analytic) = 11.181907943416889730431331852328 y[1] (numeric) = 11.181907943416889730431331852332 absolute error = 4e-30 relative error = 3.5772070564709977343202625627161e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.663 y[1] (analytic) = 11.183458192462334547310423369675 y[1] (numeric) = 11.183458192462334547310423369679 absolute error = 4e-30 relative error = 3.5767111846459132230452570923627e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.664 y[1] (analytic) = 11.185008656432827492263329046826 y[1] (numeric) = 11.18500865643282749226332904683 absolute error = 4e-30 relative error = 3.5762153815584955649771016078548e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.665 y[1] (analytic) = 11.186559335358165568841565753254 y[1] (numeric) = 11.186559335358165568841565753258 absolute error = 4e-30 relative error = 3.5757196471992163565941457428622e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.666 y[1] (analytic) = 11.1881102292681499116247849667 y[1] (numeric) = 11.188110229268149911624784966704 absolute error = 4e-30 relative error = 3.5752239815585485152003916119172e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.667 y[1] (analytic) = 11.189661338192585786793494571168 y[1] (numeric) = 11.189661338192585786793494571173 absolute error = 5e-30 relative error = 4.4684104807837078484280014828956e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.668 y[1] (analytic) = 11.191212662161282592701860056528 y[1] (numeric) = 11.191212662161282592701860056533 absolute error = 5e-30 relative error = 4.4677910704936815070327863128611e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.669 y[1] (analytic) = 11.192764201204053860450585130722 y[1] (numeric) = 11.192764201204053860450585130727 absolute error = 5e-30 relative error = 4.4671717460662027181679756673949e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.67 y[1] (analytic) = 11.194315955350717254459871755602 y[1] (numeric) = 11.194315955350717254459871755607 absolute error = 5e-30 relative error = 4.4665525074893692303034940241016e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.671 y[1] (analytic) = 11.195867924631094573042459617393 y[1] (numeric) = 11.195867924631094573042459617397 absolute error = 4e-30 relative error = 3.5727466838010243534378558163374e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 54.77 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 1.672 y[1] (analytic) = 11.197420109075011748976745042801 y[1] (numeric) = 11.197420109075011748976745042805 absolute error = 4e-30 relative error = 3.5722514302720299205334224049694e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.673 y[1] (analytic) = 11.198972508712298850079979371788 y[1] (numeric) = 11.198972508712298850079979371792 absolute error = 4e-30 relative error = 3.5717562453949942434878920397400e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.674 y[1] (analytic) = 11.200525123572790079781546798014 y[1] (numeric) = 11.200525123572790079781546798018 absolute error = 4e-30 relative error = 3.5712611291604007996212837138016e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.675 y[1] (analytic) = 11.202077953686323777696321687976 y[1] (numeric) = 11.20207795368632377769632168798 absolute error = 4e-30 relative error = 3.5707660815587343854323486784588e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.676 y[1] (analytic) = 11.203630999082742420198105389859 y[1] (numeric) = 11.203630999082742420198105389863 absolute error = 4e-30 relative error = 3.5702711025804811164157061148658e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.677 y[1] (analytic) = 11.205184259791892620993142543114 y[1] (numeric) = 11.205184259791892620993142543118 absolute error = 4e-30 relative error = 3.5697761922161284268790041543481e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.678 y[1] (analytic) = 11.206737735843625131693716899797 y[1] (numeric) = 11.206737735843625131693716899801 absolute error = 4e-30 relative error = 3.5692813504561650697601062438287e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.679 y[1] (analytic) = 11.20829142726779484239182666868 y[1] (numeric) = 11.208291427267794842391826668684 absolute error = 4e-30 relative error = 3.5687865772910811164443028528511e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.68 y[1] (analytic) = 11.209845334094260782232939393164 y[1] (numeric) = 11.209845334094260782232939393169 absolute error = 5e-30 relative error = 4.4603648408892099457269356483547e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.681 y[1] (analytic) = 11.211399456352886119989826374029 y[1] (numeric) = 11.211399456352886119989826374033 absolute error = 4e-30 relative error = 3.5677972367075182979037242259911e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.682 y[1] (analytic) = 11.212953794073538164636476648023 y[1] (numeric) = 11.212953794073538164636476648027 absolute error = 4e-30 relative error = 3.5673026692700261660419251175679e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.683 y[1] (analytic) = 11.21450834728608836592209053336 y[1] (numeric) = 11.214508347286088365922090533364 absolute error = 4e-30 relative error = 3.5668081703893869043437735326122e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.684 y[1] (analytic) = 11.216063116020412314945152753115 y[1] (numeric) = 11.21606311602041231494515275312 absolute error = 5e-30 relative error = 4.4578921750701214671134467112995e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=87.7MB, alloc=4.3MB, time=4.29 x[1] = 1.685 y[1] (analytic) = 11.217618100306389744727585147585 y[1] (numeric) = 11.21761810030638974472758514759 absolute error = 5e-30 relative error = 4.4572742228258186903944922078973e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.686 y[1] (analytic) = 11.219173300173904530788978986621 y[1] (numeric) = 11.219173300173904530788978986626 absolute error = 5e-30 relative error = 4.4566563562419494195245226316495e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.687 y[1] (analytic) = 11.220728715652844691720906892988 y[1] (numeric) = 11.220728715652844691720906892992 absolute error = 4e-30 relative error = 3.5648308602453115359901983216783e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.688 y[1] (analytic) = 11.222284346773102389761314387777 y[1] (numeric) = 11.222284346773102389761314387781 absolute error = 4e-30 relative error = 3.5643367040064128826181745291420e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.689 y[1] (analytic) = 11.223840193564573931368991068921 y[1] (numeric) = 11.223840193564573931368991068925 absolute error = 4e-30 relative error = 3.5638426162673668213153239494122e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.69 y[1] (analytic) = 11.225396256057159767798121433835 y[1] (numeric) = 11.225396256057159767798121433839 absolute error = 4e-30 relative error = 3.5633485970186779143318511449670e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.691 y[1] (analytic) = 11.226952534280764495672915357243 y[1] (numeric) = 11.226952534280764495672915357247 absolute error = 4e-30 relative error = 3.5628546462508520401739035513530e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.692 y[1] (analytic) = 11.22850902826529685756231823522 y[1] (numeric) = 11.228509028265296857562318235225 absolute error = 5e-30 relative error = 4.4529509549429954917763903818061e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.693 y[1] (analytic) = 11.230065738040669742554800806509 y[1] (numeric) = 11.230065738040669742554800806513 absolute error = 4e-30 relative error = 3.5618669501198194845441583661612e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.694 y[1] (analytic) = 11.231622663636800186833228662133 y[1] (numeric) = 11.231622663636800186833228662137 absolute error = 4e-30 relative error = 3.5613732047376311397223639241383e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.695 y[1] (analytic) = 11.233179805083609374249811454389 y[1] (numeric) = 11.233179805083609374249811454394 absolute error = 5e-30 relative error = 4.4510994097479281258266363710559e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.696 y[1] (analytic) = 11.234737162411022636901131816237 y[1] (numeric) = 11.234737162411022636901131816241 absolute error = 4e-30 relative error = 3.5603859192924660244104739056422e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.697 y[1] (analytic) = 11.236294735648969455703254002149 y[1] (numeric) = 11.236294735648969455703254002153 absolute error = 4e-30 relative error = 3.5598923792105154831809055312851e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.698 y[1] (analytic) = 11.237852524827383460966912261481 y[1] (numeric) = 11.237852524827383460966912261485 absolute error = 4e-30 relative error = 3.5593989075430059641629108443499e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.699 y[1] (analytic) = 11.239410529976202432972778955404 y[1] (numeric) = 11.239410529976202432972778955408 absolute error = 4e-30 relative error = 3.5589055042804538693437742070972e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 1.7 y[1] (analytic) = 11.240968751125368302546812428461 y[1] (numeric) = 11.240968751125368302546812428465 absolute error = 4e-30 relative error = 3.5584121694133769153255005432599e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.701 y[1] (analytic) = 11.242527188304827151635684645802 y[1] (numeric) = 11.242527188304827151635684645806 absolute error = 4e-30 relative error = 3.5579189029322941331425836722555e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.702 y[1] (analytic) = 11.244085841544529213882288607159 y[1] (numeric) = 11.244085841544529213882288607164 absolute error = 5e-30 relative error = 4.4467821310346573350997498804014e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.703 y[1] (analytic) = 11.245644710874428875201325548623 y[1] (numeric) = 11.245644710874428875201325548627 absolute error = 4e-30 relative error = 3.5569325750901937794900268930667e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.704 y[1] (analytic) = 11.247203796324484674354971943267 y[1] (numeric) = 11.247203796324484674354971943271 absolute error = 4e-30 relative error = 3.5564395137102208406120877419525e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.705 y[1] (analytic) = 11.248763097924659303528626311715 y[1] (numeric) = 11.248763097924659303528626311719 absolute error = 4e-30 relative error = 3.5559465206783313383886203611779e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.706 y[1] (analytic) = 11.250322615704919608906735853679 y[1] (numeric) = 11.250322615704919608906735853684 absolute error = 5e-30 relative error = 4.4443169949813135916049650893692e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.707 y[1] (analytic) = 11.251882349695236591248702911565 y[1] (numeric) = 11.25188234969523659124870291157 absolute error = 5e-30 relative error = 4.4437009245261329488776493142975e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.708 y[1] (analytic) = 11.25344229992558540646487127719 y[1] (numeric) = 11.253442299925585406464871277195 absolute error = 5e-30 relative error = 4.4430849394705325285057667805874e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.709 y[1] (analytic) = 11.255002466425945366192592352698 y[1] (numeric) = 11.255002466425945366192592352704 absolute error = 6e-30 relative error = 5.3309628477632091064928243738338e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.71 y[1] (analytic) = 11.25656284922629993837237117674 y[1] (numeric) = 11.256562849226299938372371176746 absolute error = 6e-30 relative error = 5.3302238706128660346068456139776e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.711 y[1] (analytic) = 11.258123448356636747824092326984 y[1] (numeric) = 11.258123448356636747824092326989 absolute error = 5e-30 relative error = 4.4412374965828400554685659157776e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.712 y[1] (analytic) = 11.259684263846947576823325710033 y[1] (numeric) = 11.259684263846947576823325710038 absolute error = 5e-30 relative error = 4.4406218530071961825140255038560e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.713 y[1] (analytic) = 11.261245295727228365677712249838 y[1] (numeric) = 11.261245295727228365677712249843 absolute error = 5e-30 relative error = 4.4400062947719585641664360771043e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.714 y[1] (analytic) = 11.262806544027479213303429485661 y[1] (numeric) = 11.262806544027479213303429485666 absolute error = 5e-30 relative error = 4.4393908218652973280323686578708e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.715 y[1] (analytic) = 11.264368008777704377801737090684 y[1] (numeric) = 11.26436800877770437780173709069 absolute error = 6e-30 relative error = 5.3265305211304610898879176905275e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=91.5MB, alloc=4.3MB, time=4.48 TOP MAIN SOLVE Loop x[1] = 1.716 y[1] (analytic) = 11.265929690007912277035602322341 y[1] (numeric) = 11.265929690007912277035602322346 absolute error = 5e-30 relative error = 4.4381601319903927118781199000990e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.717 y[1] (analytic) = 11.267491587748115489206405415442 y[1] (numeric) = 11.267491587748115489206405415447 absolute error = 5e-30 relative error = 4.4375449149984977854361988877747e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.718 y[1] (analytic) = 11.269053702028330753430724929196 y[1] (numeric) = 11.269053702028330753430724929201 absolute error = 5e-30 relative error = 4.4369297832878761479097822641829e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.719 y[1] (analytic) = 11.270616032878578970317203059194 y[1] (numeric) = 11.270616032878578970317203059199 absolute error = 5e-30 relative error = 4.4363147368467061239069445108118e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.72 y[1] (analytic) = 11.27217858032888520254349092545 y[1] (numeric) = 11.272178580328885202543490925455 absolute error = 5e-30 relative error = 4.4356997756631676767543636483603e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.721 y[1] (analytic) = 11.273741344409278675433273847591 y[1] (numeric) = 11.273741344409278675433273847596 absolute error = 5e-30 relative error = 4.4350848997254424082701623466001e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.722 y[1] (analytic) = 11.275304325149792777533376618274 y[1] (numeric) = 11.275304325149792777533376618279 absolute error = 5e-30 relative error = 4.4344701090217135585367805229666e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.723 y[1] (analytic) = 11.276867522580465061190948785931 y[1] (numeric) = 11.276867522580465061190948785937 absolute error = 6e-30 relative error = 5.3206264842481992068086553106108e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.724 y[1] (analytic) = 11.278430936731337243130729957933 y[1] (numeric) = 11.278430936731337243130729957939 absolute error = 6e-30 relative error = 5.3198889399227835187335326350044e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.725 y[1] (analytic) = 11.279994567632455205032395135258 y[1] (numeric) = 11.279994567632455205032395135263 absolute error = 5e-30 relative error = 4.4326262481963624918619159077026e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.726 y[1] (analytic) = 11.281558415313868994107980089768 y[1] (numeric) = 11.281558415313868994107980089773 absolute error = 5e-30 relative error = 4.4320117983104844752948600768516e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.727 y[1] (analytic) = 11.283122479805632823679386795195 y[1] (numeric) = 11.2831224798056328236793867952 absolute error = 5e-30 relative error = 4.4313974335995436439083266377789e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.728 y[1] (analytic) = 11.28468676113780507375596892292 y[1] (numeric) = 11.284686761137805073755968922925 absolute error = 5e-30 relative error = 4.4307831540517330626027463830346e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.729 y[1] (analytic) = 11.286251259340448291612197413661 y[1] (numeric) = 11.286251259340448291612197413665 absolute error = 4e-30 relative error = 3.5441351677241979463630854885675e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.73 y[1] (analytic) = 11.287815974443629192365406136156 y[1] (numeric) = 11.28781597444362919236540613616 absolute error = 4e-30 relative error = 3.5436438803186264743886613805985e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.731 y[1] (analytic) = 11.289380906477418659553617643965 y[1] (numeric) = 11.289380906477418659553617643969 absolute error = 4e-30 relative error = 3.5431526610152304135555292325775e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.732 y[1] (analytic) = 11.290946055471891745713449041472 y[1] (numeric) = 11.290946055471891745713449041476 absolute error = 4e-30 relative error = 3.5426615098045694520561128173653e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.733 y[1] (analytic) = 11.29251142145712767295809797021 y[1] (numeric) = 11.292511421457127672958097970214 absolute error = 4e-30 relative error = 3.5421704266772045866972301799258e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.734 y[1] (analytic) = 11.294077004463209833555408726611 y[1] (numeric) = 11.294077004463209833555408726615 absolute error = 4e-30 relative error = 3.5416794116236981227186937357328e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.735 y[1] (analytic) = 11.295642804520225790506018522293 y[1] (numeric) = 11.295642804520225790506018522297 absolute error = 4e-30 relative error = 3.5411884646346136736119355148002e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.736 y[1] (analytic) = 11.297208821658267278121583897986 y[1] (numeric) = 11.29720882165826727812158389799 absolute error = 4e-30 relative error = 3.5406975857005161609386575478514e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.737 y[1] (analytic) = 11.298775055907430202603087302224 y[1] (numeric) = 11.298775055907430202603087302228 absolute error = 4e-30 relative error = 3.5402067748119718141495073911383e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.738 y[1] (analytic) = 11.300341507297814642619223845905 y[1] (numeric) = 11.300341507297814642619223845909 absolute error = 4e-30 relative error = 3.5397160319595481704027787864295e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.739 y[1] (analytic) = 11.301908175859524849884868243839 y[1] (numeric) = 11.301908175859524849884868243843 absolute error = 4e-30 relative error = 3.5392253571338140743831374526810e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.74 y[1] (analytic) = 11.303475061622669249739621954401 y[1] (numeric) = 11.303475061622669249739621954405 absolute error = 4e-30 relative error = 3.5387347503253396781203720059070e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.741 y[1] (analytic) = 11.305042164617360441726440528409 y[1] (numeric) = 11.305042164617360441726440528412 absolute error = 3e-30 relative error = 2.6536831586435223306061275028243e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.742 y[1] (analytic) = 11.306609484873715200170341178339 y[1] (numeric) = 11.306609484873715200170341178343 absolute error = 4e-30 relative error = 3.5377537407224571286229191113811e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.743 y[1] (analytic) = 11.308177022421854474757190579018 y[1] (numeric) = 11.308177022421854474757190579022 absolute error = 4e-30 relative error = 3.5372633379091958145425333849114e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.744 y[1] (analytic) = 11.309744777291903391112572910889 y[1] (numeric) = 11.309744777291903391112572910893 absolute error = 4e-30 relative error = 3.5367730030754878781653046693924e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.745 y[1] (analytic) = 11.311312749513991251380738157003 y[1] (numeric) = 11.311312749513991251380738157006 absolute error = 3e-30 relative error = 2.6522120521589325041465843305230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.746 memory used=95.3MB, alloc=4.3MB, time=4.67 y[1] (analytic) = 11.312880939118251534803630664839 y[1] (numeric) = 11.312880939118251534803630664843 absolute error = 4e-30 relative error = 3.5357925373090401889286587548078e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.747 y[1] (analytic) = 11.314449346134821898299997984104 y[1] (numeric) = 11.314449346134821898299997984109 absolute error = 5e-30 relative error = 4.4191280079468221584221603761336e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.748 y[1] (analytic) = 11.316017970593844177044579991618 y[1] (numeric) = 11.316017970593844177044579991622 absolute error = 4e-30 relative error = 3.5348123433477432232248068881565e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.749 y[1] (analytic) = 11.317586812525464385047378314429 y[1] (numeric) = 11.317586812525464385047378314433 absolute error = 4e-30 relative error = 3.5343223482704785883737250293419e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.75 y[1] (analytic) = 11.319155871959832715733006062294 y[1] (numeric) = 11.319155871959832715733006062298 absolute error = 4e-30 relative error = 3.5338324211162470377023266179018e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.751 y[1] (analytic) = 11.320725148927103542520117880647 y[1] (numeric) = 11.320725148927103542520117880652 absolute error = 5e-30 relative error = 4.4166782023445413651018700352556e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.752 y[1] (analytic) = 11.322294643457435419400920335204 y[1] (numeric) = 11.322294643457435419400920335208 absolute error = 4e-30 relative error = 3.5328527705392225775542103022545e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.753 y[1] (analytic) = 11.323864355580991081520762639321 y[1] (numeric) = 11.323864355580991081520762639326 absolute error = 5e-30 relative error = 4.4154538088720032814432705241965e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.754 y[1] (analytic) = 11.325434285327937445757807735278 y[1] (numeric) = 11.325434285327937445757807735282 absolute error = 4e-30 relative error = 3.5318733915413616707271336452550e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.755 y[1] (analytic) = 11.327004432728445611302783740584 y[1] (numeric) = 11.327004432728445611302783740589 absolute error = 5e-30 relative error = 4.4142297548263618184319761965907e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.756 y[1] (analytic) = 11.328574797812690860238815770495 y[1] (numeric) = 11.3285747978126908602388157705 absolute error = 5e-30 relative error = 4.4136178550592212776654119274733e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.757 y[1] (analytic) = 11.330145380610852658121338147839 y[1] (numeric) = 11.330145380610852658121338147844 absolute error = 5e-30 relative error = 4.4130060401135209025968504523814e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.758 y[1] (analytic) = 11.331716181153114654558087011333 y[1] (numeric) = 11.331716181153114654558087011338 absolute error = 5e-30 relative error = 4.4123943099775027598225834847944e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.759 y[1] (analytic) = 11.333287199469664683789173333514 y[1] (numeric) = 11.333287199469664683789173333519 absolute error = 5e-30 relative error = 4.4117826646394105458216028664939e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.76 y[1] (analytic) = 11.334858435590694765267236359438 y[1] (numeric) = 11.334858435590694765267236359444 absolute error = 6e-30 relative error = 5.2934053249049875040755998106027e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.761 y[1] (analytic) = 11.336429889546401104237677477307 y[1] (numeric) = 11.336429889546401104237677477313 absolute error = 6e-30 relative error = 5.2926715539719842057360747835480e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.762 y[1] (analytic) = 11.338001561366984092318974532156 y[1] (numeric) = 11.338001561366984092318974532161 absolute error = 5e-30 relative error = 4.4099482372951508847444034445865e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.763 y[1] (analytic) = 11.339573451082648308083076593766 y[1] (numeric) = 11.339573451082648308083076593771 absolute error = 5e-30 relative error = 4.4093369310312319403734548191142e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.764 y[1] (analytic) = 11.341145558723602517635879189958 y[1] (numeric) = 11.341145558723602517635879189963 absolute error = 5e-30 relative error = 4.4087257095064818475046576925719e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.765 y[1] (analytic) = 11.342717884320059675197780016414 y[1] (numeric) = 11.34271788432005967519778001642 absolute error = 6e-30 relative error = 5.2897374872509848926036225450381e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.766 y[1] (analytic) = 11.344290427902236923684315134191 y[1] (numeric) = 11.344290427902236923684315134197 absolute error = 6e-30 relative error = 5.2890042247530044744424369074887e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.767 y[1] (analytic) = 11.345863189500355595286875666078 y[1] (numeric) = 11.345863189500355595286875666083 absolute error = 5e-30 relative error = 4.4068925532497875295112905966577e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.768 y[1] (analytic) = 11.347436169144641212053505002967 y[1] (numeric) = 11.347436169144641212053505002973 absolute error = 6e-30 relative error = 5.2875380046771166018289792284636e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.769 y[1] (analytic) = 11.349009366865323486469776531397 y[1] (numeric) = 11.349009366865323486469776531402 absolute error = 5e-30 relative error = 4.4056708725591926276253931248302e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.77 y[1] (analytic) = 11.350582782692636322039751893419 y[1] (numeric) = 11.350582782692636322039751893424 absolute error = 5e-30 relative error = 4.4050601592228355180989552952436e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.771 y[1] (analytic) = 11.352156416656817813867019789976 y[1] (numeric) = 11.352156416656817813867019789981 absolute error = 5e-30 relative error = 4.4044495305434557437356601156618e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.772 y[1] (analytic) = 11.353730268788110249235815338935 y[1] (numeric) = 11.35373026878811024923581533894 absolute error = 5e-30 relative error = 4.4038389865093181689409975010547e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.773 y[1] (analytic) = 11.35530433911676010819221999896 y[1] (numeric) = 11.355304339116760108192219998965 absolute error = 5e-30 relative error = 4.4032285271086892848429291163591e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.774 y[1] (analytic) = 11.356878627673018064125442070385 y[1] (numeric) = 11.356878627673018064125442070389 absolute error = 4e-30 relative error = 3.5220945218638697672531139104496e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.775 y[1] (analytic) = 11.358453134487138984349177784258 y[1] (numeric) = 11.358453134487138984349177784263 absolute error = 5e-30 relative error = 4.4020078621610316855078357739988e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 1.776 y[1] (analytic) = 11.360027859589381930683052990741 y[1] (numeric) = 11.360027859589381930683052990746 absolute error = 5e-30 relative error = 4.4013976565905440841097852870312e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=99.1MB, alloc=4.3MB, time=4.85 TOP MAIN SOLVE Loop x[1] = 1.777 y[1] (analytic) = 11.361602803010010160034145458018 y[1] (numeric) = 11.361602803010010160034145458023 absolute error = 5e-30 relative error = 4.4007875356066474006354422682781e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.778 y[1] (analytic) = 11.363177964779291124978587792909 y[1] (numeric) = 11.363177964779291124978587792914 absolute error = 5e-30 relative error = 4.4001774991976162564433124055618e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.779 y[1] (analytic) = 11.364753344927496474343250994353 y[1] (numeric) = 11.364753344927496474343250994359 absolute error = 6e-30 relative error = 5.2794810568220722779142391912909e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.78 y[1] (analytic) = 11.36632894348490205378750865095 y[1] (numeric) = 11.366328943484902053787508650955 absolute error = 5e-30 relative error = 4.3989576800572571979642294256053e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.781 y[1] (analytic) = 11.367904760481787906385081793724 y[1] (numeric) = 11.367904760481787906385081793729 absolute error = 5e-30 relative error = 4.3983478973024866523429079299798e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.782 y[1] (analytic) = 11.369480795948438273205964415315 y[1] (numeric) = 11.36948079594843827320596441532 absolute error = 5e-30 relative error = 4.3977381990756963828845395177488e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.783 y[1] (analytic) = 11.371057049915141593898429666761 y[1] (numeric) = 11.371057049915141593898429666766 absolute error = 5e-30 relative error = 4.3971285853651691355446801664295e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.784 y[1] (analytic) = 11.372633522412190507271116743067 y[1] (numeric) = 11.372633522412190507271116743071 absolute error = 4e-30 relative error = 3.5172152449273514244180961743939e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.785 y[1] (analytic) = 11.374210213469881851875198468739 y[1] (numeric) = 11.374210213469881851875198468743 absolute error = 4e-30 relative error = 3.5167276891568342496289855940754e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.786 y[1] (analytic) = 11.375787123118516666586629594487 y[1] (numeric) = 11.375787123118516666586629594491 absolute error = 4e-30 relative error = 3.5162402009712138784774788903137e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.787 y[1] (analytic) = 11.377364251388400191188475816265 y[1] (numeric) = 11.377364251388400191188475816269 absolute error = 4e-30 relative error = 3.5157527803611217042273392276961e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.788 y[1] (analytic) = 11.378941598309841866953323527857 y[1] (numeric) = 11.378941598309841866953323527861 absolute error = 4e-30 relative error = 3.5152654273171904188169794232766e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.789 y[1] (analytic) = 11.380519163913155337225770318195 y[1] (numeric) = 11.380519163913155337225770318198 absolute error = 3e-30 relative error = 2.6360836063725405095095799180013e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.79 y[1] (analytic) = 11.382096948228658448004996224597 y[1] (numeric) = 11.3820969482286584480049962246 absolute error = 3e-30 relative error = 2.6357181929177608309217936540721e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.791 y[1] (analytic) = 11.383674951286673248527415753139 y[1] (numeric) = 11.383674951286673248527415753142 absolute error = 3e-30 relative error = 2.6353528301165312185111227162105e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.792 y[1] (analytic) = 11.385253173117525991849410677338 y[1] (numeric) = 11.385253173117525991849410677341 absolute error = 3e-30 relative error = 2.6349875179618300859053474020249e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.793 y[1] (analytic) = 11.386831613751547135430143626355 y[1] (numeric) = 11.386831613751547135430143626358 absolute error = 3e-30 relative error = 2.6346222564466368200633396725748e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.794 y[1] (analytic) = 11.388410273219071341714452473923 y[1] (numeric) = 11.388410273219071341714452473925 absolute error = 2e-30 relative error = 1.7561713637092878540934267762320e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.795 y[1] (analytic) = 11.389989151550437478715825539188 y[1] (numeric) = 11.389989151550437478715825539191 absolute error = 3e-30 relative error = 2.6338918853066963023520539042398e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.796 y[1] (analytic) = 11.391568248775988620599457610688 y[1] (numeric) = 11.391568248775988620599457610691 absolute error = 3e-30 relative error = 2.6335267756679126898417647249393e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.797 y[1] (analytic) = 11.393147564926072048265386804648 y[1] (numeric) = 11.393147564926072048265386804651 absolute error = 3e-30 relative error = 2.6331617166405642225434683781344e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.798 y[1] (analytic) = 11.394727100031039249931712268825 y[1] (numeric) = 11.394727100031039249931712268828 absolute error = 3e-30 relative error = 2.6327967082176351520480243429398e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.799 y[1] (analytic) = 11.396306854121245921717892743092 y[1] (numeric) = 11.396306854121245921717892743094 absolute error = 2e-30 relative error = 1.7549545002614071349787508846389e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (analytic) = 11.397886827227051968228125987977 y[1] (numeric) = 11.397886827227051968228125987979 absolute error = 2e-30 relative error = 1.7547112287713180468689943049236e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.801 y[1] (analytic) = 11.399467019378821503134809092375 y[1] (numeric) = 11.399467019378821503134809092378 absolute error = 3e-30 relative error = 2.6317019865052214243060681595621e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.802 y[1] (analytic) = 11.401047430606922849762079671638 y[1] (numeric) = 11.401047430606922849762079671641 absolute error = 3e-30 relative error = 2.6313371804298319053452627203908e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.803 y[1] (analytic) = 11.402628060941728541669437967253 y[1] (numeric) = 11.402628060941728541669437967256 absolute error = 3e-30 relative error = 2.6309724249237976262731845340214e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.804 y[1] (analytic) = 11.404208910413615323235449859342 y[1] (numeric) = 11.404208910413615323235449859345 absolute error = 3e-30 relative error = 2.6306077199801086717899100272172e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.805 y[1] (analytic) = 11.405789979052964150241530803182 y[1] (numeric) = 11.405789979052964150241530803186 absolute error = 4e-30 relative error = 3.5069907541223414644116870157506e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.806 y[1] (analytic) = 11.407371266890160190455810700979 y[1] (numeric) = 11.407371266890160190455810700983 absolute error = 4e-30 relative error = 3.5065046156689759117621696155660e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.807 y[1] (analytic) = 11.408952773955592824217079720104 y[1] (numeric) = 11.408952773955592824217079720107 absolute error = 3e-30 relative error = 2.6295139084530291777642437115739e-29 % Correct digits = 30 h = 0.001 memory used=103.0MB, alloc=4.3MB, time=5.04 NO POLE TOP MAIN SOLVE Loop x[1] = 1.808 y[1] (analytic) = 11.410534500279655645018815069023 y[1] (numeric) = 11.410534500279655645018815069027 absolute error = 4e-30 relative error = 3.5055325409181890678420961005184e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.809 y[1] (analytic) = 11.412116445892746460093288742148 y[1] (numeric) = 11.412116445892746460093288742153 absolute error = 5e-30 relative error = 4.3813082557526079084885606350634e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.81 y[1] (analytic) = 11.413698610825267290995756244819 y[1] (numeric) = 11.413698610825267290995756244823 absolute error = 4e-30 relative error = 3.5045607356463918978112045594262e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.811 y[1] (analytic) = 11.415280995107624374188726309652 y[1] (numeric) = 11.415280995107624374188726309656 absolute error = 4e-30 relative error = 3.5040749340417682927229030744150e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.812 y[1] (analytic) = 11.416863598770228161626311615497 y[1] (numeric) = 11.416863598770228161626311615501 absolute error = 4e-30 relative error = 3.5035891997788793177066836639919e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.813 y[1] (analytic) = 11.418446421843493321338660520208 y[1] (numeric) = 11.418446421843493321338660520211 absolute error = 3e-30 relative error = 2.6273276496362925548436469737676e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.814 y[1] (analytic) = 11.420029464357838738016469818471 y[1] (numeric) = 11.420029464357838738016469818475 absolute error = 4e-30 relative error = 3.5026179332409669533419337466941e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.815 y[1] (analytic) = 11.421612726343687513595578535938 y[1] (numeric) = 11.421612726343687513595578535941 absolute error = 3e-30 relative error = 2.6265993007104582349088954139120e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.816 y[1] (analytic) = 11.423196207831466967841642770864 y[1] (numeric) = 11.423196207831466967841642770867 absolute error = 3e-30 relative error = 2.6262352019684933509240451525427e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.817 y[1] (analytic) = 11.424779908851608638934891594528 y[1] (numeric) = 11.424779908851608638934891594531 absolute error = 3e-30 relative error = 2.6258711536978332695230591286665e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.818 y[1] (analytic) = 11.426363829434548284054964021637 y[1] (numeric) = 11.42636382943454828405496402164 absolute error = 3e-30 relative error = 2.6255071558914816671407188498690e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.819 y[1] (analytic) = 11.42794796961072587996582706198 y[1] (numeric) = 11.427947969610725879965827061983 absolute error = 3e-30 relative error = 2.6251432085424431900409715386211e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.82 y[1] (analytic) = 11.429532329410585623600774864558 y[1] (numeric) = 11.429532329410585623600774864561 absolute error = 3e-30 relative error = 2.6247793116437234541824925806269e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.821 y[1] (analytic) = 11.431116908864575932647508965436 y[1] (numeric) = 11.43111690886457593264750896544 absolute error = 4e-30 relative error = 3.4992206202511053934456888118443e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.822 y[1] (analytic) = 11.432701708003149446133299650569 y[1] (numeric) = 11.432701708003149446133299650572 absolute error = 3e-30 relative error = 2.6240516691692675176911872208639e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.823 y[1] (analytic) = 11.434286726856763025010228444827 y[1] (numeric) = 11.434286726856763025010228444831 absolute error = 4e-30 relative error = 3.4982505647727298616529004350008e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.824 y[1] (analytic) = 11.435871965455877752740511738501 y[1] (numeric) = 11.435871965455877752740511738505 absolute error = 4e-30 relative error = 3.4977656378829042321644214968292e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.825 y[1] (analytic) = 11.437457423830958935881905562494 y[1] (numeric) = 11.437457423830958935881905562499 absolute error = 5e-30 relative error = 4.3716009727669505229308578275422e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.826 y[1] (analytic) = 11.439043102012476104673191523493 y[1] (numeric) = 11.439043102012476104673191523497 absolute error = 4e-30 relative error = 3.4967959857553803286002269964579e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.827 y[1] (analytic) = 11.440629000030903013619743910334 y[1] (numeric) = 11.440629000030903013619743910338 absolute error = 4e-30 relative error = 3.4963112604990471630098252418383e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.828 y[1] (analytic) = 11.442215117916717642079177982848 y[1] (numeric) = 11.442215117916717642079177982852 absolute error = 4e-30 relative error = 3.4958266024352454131454604314273e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.829 y[1] (analytic) = 11.443801455700402194847079454415 y[1] (numeric) = 11.443801455700402194847079454419 absolute error = 4e-30 relative error = 3.4953420115546608618932833256903e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.83 y[1] (analytic) = 11.445388013412443102742815179498 y[1] (numeric) = 11.445388013412443102742815179502 absolute error = 4e-30 relative error = 3.4948574878479805832746142646342e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.831 y[1] (analytic) = 11.446974791083331023195425057415 y[1] (numeric) = 11.44697479108333102319542505742 absolute error = 5e-30 relative error = 4.3679662891323661778337077916563e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.832 y[1] (analytic) = 11.448561788743560840829595163603 y[1] (numeric) = 11.448561788743560840829595163607 absolute error = 4e-30 relative error = 3.4938886419190875946250927371598e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.833 y[1] (analytic) = 11.450149006423631668051712119631 y[1] (numeric) = 11.450149006423631668051712119636 absolute error = 5e-30 relative error = 4.3667553995978193583775756043139e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.834 y[1] (analytic) = 11.451736444154046845635998713247 y[1] (numeric) = 11.451736444154046845635998713252 absolute error = 5e-30 relative error = 4.3661500807176110690879335823536e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.835 y[1] (analytic) = 11.453324101965313943310730779692 y[1] (numeric) = 11.453324101965313943310730779697 absolute error = 5e-30 relative error = 4.3655448457466015341787028105067e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.836 y[1] (analytic) = 11.454911979887944760344535355573 y[1] (numeric) = 11.454911979887944760344535355578 absolute error = 5e-30 relative error = 4.3649396946731592749932463064076e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.837 y[1] (analytic) = 11.456500077952455326132770116547 y[1] (numeric) = 11.456500077952455326132770116552 absolute error = 5e-30 relative error = 4.3643346274856544252284919909536e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=106.8MB, alloc=4.3MB, time=5.23 x[1] = 1.838 y[1] (analytic) = 11.458088396189365900783984110095 y[1] (numeric) = 11.4580883961893659007839841101 absolute error = 5e-30 relative error = 4.3637296441724587307114285152757e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.839 y[1] (analytic) = 11.459676934629200975706459794649 y[1] (numeric) = 11.459676934629200975706459794654 absolute error = 5e-30 relative error = 4.3631247447219455491756320698192e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.84 y[1] (analytic) = 11.46126569330248927419483639635 y[1] (numeric) = 11.461265693302489274194836396355 absolute error = 5e-30 relative error = 4.3625199291224898500378241712396e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.841 y[1] (analytic) = 11.462854672239763752016814594704 y[1] (numeric) = 11.462854672239763752016814594709 absolute error = 5e-30 relative error = 4.3619151973624682141744604228209e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.842 y[1] (analytic) = 11.464443871471561597999942548423 y[1] (numeric) = 11.464443871471561597999942548428 absolute error = 5e-30 relative error = 4.3613105494302588336983502441186e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.843 y[1] (analytic) = 11.466033291028424234618483272711 y[1] (numeric) = 11.466033291028424234618483272716 absolute error = 5e-30 relative error = 4.3607059853142415117353075655404e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.844 y[1] (analytic) = 11.467622930940897318580363379295 y[1] (numeric) = 11.467622930940897318580363379299 absolute error = 4e-30 relative error = 3.4880812040022381297606659868525e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.845 y[1] (analytic) = 11.469212791239530741414203190453 y[1] (numeric) = 11.469212791239530741414203190458 absolute error = 5e-30 relative error = 4.3594971084843103095768238723201e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.846 y[1] (analytic) = 11.470802871954878630056428238358 y[1] (numeric) = 11.470802871954878630056428238363 absolute error = 5e-30 relative error = 4.3588927957471640886883229472031e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.847 y[1] (analytic) = 11.47239317311749934743846216098 y[1] (numeric) = 11.472393173117499347438462160984 absolute error = 4e-30 relative error = 3.4866308534237961955842302210318e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.848 y[1] (analytic) = 11.473983694757955493074001005858 y[1] (numeric) = 11.473983694757955493074001005862 absolute error = 4e-30 relative error = 3.4861475372563533054355189881683e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.849 y[1] (analytic) = 11.475574436906813903646368953029 y[1] (numeric) = 11.475574436906813903646368953033 absolute error = 4e-30 relative error = 3.4856642880861141721167159209718e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.85 y[1] (analytic) = 11.477165399594645653595955468381 y[1] (numeric) = 11.477165399594645653595955468385 absolute error = 4e-30 relative error = 3.4851811059037916548003531057149e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.851 y[1] (analytic) = 11.47875658285202605570773389874 y[1] (numeric) = 11.478756582852026055707733898744 absolute error = 4e-30 relative error = 3.4846979907000999000408220608064e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.852 y[1] (analytic) = 11.480347986709534661698861519971 y[1] (numeric) = 11.480347986709534661698861519975 absolute error = 4e-30 relative error = 3.4842149424657543415959170855162e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.853 y[1] (analytic) = 11.481939611197755262806361049393 y[1] (numeric) = 11.481939611197755262806361049397 absolute error = 4e-30 relative error = 3.4837319611914717002484033463291e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.854 y[1] (analytic) = 11.483531456347275890374883633791 y[1] (numeric) = 11.483531456347275890374883633795 absolute error = 4e-30 relative error = 3.4832490468679699836276096975019e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.855 y[1] (analytic) = 11.485123522188688816444553324337 y[1] (numeric) = 11.485123522188688816444553324341 absolute error = 4e-30 relative error = 3.4827661994859684860310462323896e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.856 y[1] (analytic) = 11.486715808752590554338893049698 y[1] (numeric) = 11.486715808752590554338893049702 absolute error = 4e-30 relative error = 3.4822834190361877882460465621198e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.857 y[1] (analytic) = 11.488308316069581859252832098648 y[1] (numeric) = 11.488308316069581859252832098652 absolute error = 4e-30 relative error = 3.4818007055093497573714348181803e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.858 y[1] (analytic) = 11.489901044170267728840795123473 y[1] (numeric) = 11.489901044170267728840795123476 absolute error = 3e-30 relative error = 2.6109885441721331599794130316231e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.859 y[1] (analytic) = 11.491493993085257403804872675469 y[1] (numeric) = 11.491493993085257403804872675472 absolute error = 3e-30 relative error = 2.6106266093905466964272244694338e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.86 y[1] (analytic) = 11.493087162845164368483073283855 y[1] (numeric) = 11.493087162845164368483073283858 absolute error = 3e-30 relative error = 2.6102647247802972210946690989648e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.861 y[1] (analytic) = 11.494680553480606351437657089378 y[1] (numeric) = 11.494680553480606351437657089381 absolute error = 3e-30 relative error = 2.6099028903344299919032098681223e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.862 y[1] (analytic) = 11.496274165022205326043551043941 y[1] (numeric) = 11.496274165022205326043551043944 absolute error = 3e-30 relative error = 2.6095411060459912308394569289007e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.863 y[1] (analytic) = 11.497867997500587511076845687548 y[1] (numeric) = 11.497867997500587511076845687551 absolute error = 3e-30 relative error = 2.6091793719080281238215290929825e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.864 y[1] (analytic) = 11.499462050946383371303373513885 y[1] (numeric) = 11.499462050946383371303373513888 absolute error = 3e-30 relative error = 2.6088176879135888205654338122902e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.865 y[1] (analytic) = 11.501056325390227618067368935838 y[1] (numeric) = 11.501056325390227618067368935841 absolute error = 3e-30 relative error = 2.6084560540557224344514656819223e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.866 y[1] (analytic) = 11.502650820862759209880209862272 y[1] (numeric) = 11.502650820862759209880209862275 absolute error = 3e-30 relative error = 2.6080944703274790423906234629057e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.867 y[1] (analytic) = 11.504245537394621353009240897378 y[1] (numeric) = 11.504245537394621353009240897381 absolute error = 3e-30 relative error = 2.6077329367219096846910456221972e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.868 y[1] (analytic) = 11.505840475016461502066678173906 y[1] (numeric) = 11.505840475016461502066678173908 absolute error = 2e-30 relative error = 1.7382476354880442432829762582453e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=110.6MB, alloc=4.3MB, time=5.42 TOP MAIN SOLVE Loop x[1] = 1.869 y[1] (analytic) = 11.507435633758931360598595831601 y[1] (numeric) = 11.507435633758931360598595831603 absolute error = 2e-30 relative error = 1.7380066799006680331951188756022e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.87 y[1] (analytic) = 11.509031013652686881673994152169 y[1] (numeric) = 11.509031013652686881673994152171 absolute error = 2e-30 relative error = 1.7377657577145137793293622393681e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.871 y[1] (analytic) = 11.510626614728388268473949362077 y[1] (numeric) = 11.510626614728388268473949362079 absolute error = 2e-30 relative error = 1.7375248689249514100599883134409e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.872 y[1] (analytic) = 11.512222437016699974880845114527 y[1] (numeric) = 11.512222437016699974880845114529 absolute error = 2e-30 relative error = 1.7372840135273514955810091116183e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 1.873 y[1] (analytic) = 11.513818480548290706067685661916 y[1] (numeric) = 11.513818480548290706067685661918 absolute error = 2e-30 relative error = 1.7370431915170852478171977573349e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.874 y[1] (analytic) = 11.515414745353833419087490730116 y[1] (numeric) = 11.515414745353833419087490730118 absolute error = 2e-30 relative error = 1.7368024028895245203351318762587e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.875 y[1] (analytic) = 11.517011231464005323462772105891 y[1] (numeric) = 11.517011231464005323462772105892 absolute error = 1e-30 relative error = 8.6828082382002090412712466001847e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.876 y[1] (analytic) = 11.51860793890948788177509194879 y[1] (numeric) = 11.518607938909487881775091948792 absolute error = 2e-30 relative error = 1.7363209257640102481579162194821e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.877 y[1] (analytic) = 11.520204867720966810254702838843 y[1] (numeric) = 11.520204867720966810254702838846 absolute error = 3e-30 relative error = 2.6041203558852054270067610482333e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.878 y[1] (analytic) = 11.521802017929132079370269571387 y[1] (numeric) = 11.521802017929132079370269571389 absolute error = 2e-30 relative error = 1.7358395821137963370384989159738e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.879 y[1] (analytic) = 11.523399389564677914418672710354 y[1] (numeric) = 11.523399389564677914418672710357 absolute error = 3e-30 relative error = 2.6033984404955451985523601406935e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.88 y[1] (analytic) = 11.524996982658302796114893911377 y[1] (numeric) = 11.524996982658302796114893911379 absolute error = 2e-30 relative error = 1.7353583719018807055437372072792e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.881 y[1] (analytic) = 11.526594797240709461181983026013 y[1] (numeric) = 11.526594797240709461181983026015 absolute error = 2e-30 relative error = 1.7351178168237243991344499916385e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.882 y[1] (analytic) = 11.528192833342604902941106998462 y[1] (numeric) = 11.528192833342604902941106998464 absolute error = 2e-30 relative error = 1.7348772950912715299737669362539e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.883 y[1] (analytic) = 11.529791090994700371901680566087 y[1] (numeric) = 11.529791090994700371901680566089 absolute error = 2e-30 relative error = 1.7346368066998997224034929294319e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.884 y[1] (analytic) = 11.5313895702277113763515787751 y[1] (numeric) = 11.531389570227711376351578775102 absolute error = 2e-30 relative error = 1.7343963516449872415183492189382e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.885 y[1] (analytic) = 11.532988271072357682947431322744 y[1] (numeric) = 11.532988271072357682947431322746 absolute error = 2e-30 relative error = 1.7341559299219129930771523532650e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.886 y[1] (analytic) = 11.534587193559363317304998737319 y[1] (numeric) = 11.534587193559363317304998737321 absolute error = 2e-30 relative error = 1.7339155415260565234140054352572e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.887 y[1] (analytic) = 11.536186337719456564589630407402 y[1] (numeric) = 11.536186337719456564589630407404 absolute error = 2e-30 relative error = 1.7336751864527980193495016863927e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.888 y[1] (analytic) = 11.537785703583369970106804471598 y[1] (numeric) = 11.537785703583369970106804471601 absolute error = 3e-30 relative error = 2.6001522970462774621529104800129e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.889 y[1] (analytic) = 11.539385291181840339892749580189 y[1] (numeric) = 11.539385291181840339892749580191 absolute error = 2e-30 relative error = 1.7331945762555988571985547217674e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.89 y[1] (analytic) = 11.540985100545608741305148540002 y[1] (numeric) = 11.540985100545608741305148540004 absolute error = 2e-30 relative error = 1.7329543211224217743867529356593e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.891 y[1] (analytic) = 11.542585131705420503613923853888 y[1] (numeric) = 11.54258513170542050361392385389 absolute error = 2e-30 relative error = 1.7327140992933698075453704538306e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.892 y[1] (analytic) = 11.544185384692025218592105166129 y[1] (numeric) = 11.544185384692025218592105166131 absolute error = 2e-30 relative error = 1.7324739107638263445959353085368e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.893 y[1] (analytic) = 11.545785859536176741106778625148 y[1] (numeric) = 11.545785859536176741106778625149 absolute error = 1e-30 relative error = 8.6611687776458770670697273225635e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.894 y[1] (analytic) = 11.547386556268633189710118174876 y[1] (numeric) = 11.547386556268633189710118174878 absolute error = 2e-30 relative error = 1.7319936335848016817401585100555e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.895 y[1] (analytic) = 11.548987474920156947230498786137 y[1] (numeric) = 11.548987474920156947230498786139 absolute error = 2e-30 relative error = 1.7317535449260904570918936451141e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.896 y[1] (analytic) = 11.550588615521514661363691639395 y[1] (numeric) = 11.550588615521514661363691639397 absolute error = 2e-30 relative error = 1.7315134895484276866743459646842e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.897 y[1] (analytic) = 11.55218997810347724526414127025 y[1] (numeric) = 11.552189978103477245264141270252 absolute error = 2e-30 relative error = 1.7312734674471999572919130357998e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.898 y[1] (analytic) = 11.553791562696819878136324689027 y[1] (numeric) = 11.553791562696819878136324689029 absolute error = 2e-30 relative error = 1.7310334786177944952595337664199e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=114.4MB, alloc=4.3MB, time=5.61 x[1] = 1.899 y[1] (analytic) = 11.555393369332322005826192485829 y[1] (numeric) = 11.55539336933232200582619248583 absolute error = 1e-30 relative error = 8.6539676152779958315701978225334e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.9 y[1] (analytic) = 11.556995398040767341412691932418 y[1] (numeric) = 11.55699539804076734141269193242 absolute error = 2e-30 relative error = 1.7305536007560024755255177855903e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.901 y[1] (analytic) = 11.558597648852943865799372092305 y[1] (numeric) = 11.558597648852943865799372092307 absolute error = 2e-30 relative error = 1.7303137117143935672086874671162e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.902 y[1] (analytic) = 11.560200121799643828306070950394 y[1] (numeric) = 11.560200121799643828306070950396 absolute error = 2e-30 relative error = 1.7300738559261622248342873478747e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.903 y[1] (analytic) = 11.561802816911663747260684573573 y[1] (numeric) = 11.561802816911663747260684573574 absolute error = 1e-30 relative error = 8.6491701669334943547023808540328e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.904 y[1] (analytic) = 11.563405734219804410591018313613 y[1] (numeric) = 11.563405734219804410591018313615 absolute error = 2e-30 relative error = 1.7295942440913945670442452674848e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.905 y[1] (analytic) = 11.56500887375487087641672006376 y[1] (numeric) = 11.565008873754870876416720063762 absolute error = 2e-30 relative error = 1.7293544880356410135528434225664e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.906 y[1] (analytic) = 11.566612235547672473641295580379 y[1] (numeric) = 11.566612235547672473641295580381 absolute error = 2e-30 relative error = 1.7291147652148305496752140165165e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.907 y[1] (analytic) = 11.568215819629022802544205881041 y[1] (numeric) = 11.568215819629022802544205881043 absolute error = 2e-30 relative error = 1.7288750756243561533334444448995e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.908 y[1] (analytic) = 11.569819626029739735373046730433 y[1] (numeric) = 11.569819626029739735373046730435 absolute error = 2e-30 relative error = 1.7286354192596114410742278125360e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.909 y[1] (analytic) = 11.571423654780645416935810225459 y[1] (numeric) = 11.571423654780645416935810225461 absolute error = 2e-30 relative error = 1.7283957961159906679803369008251e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.91 y[1] (analytic) = 11.573027905912566265193228490928 y[1] (numeric) = 11.57302790591256626519322849093 absolute error = 2e-30 relative error = 1.7281562061888887275821104065298e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.911 y[1] (analytic) = 11.574632379456332971851199497203 y[1] (numeric) = 11.574632379456332971851199497204 absolute error = 1e-30 relative error = 8.6395832473685057588447572516231e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.912 y[1] (analytic) = 11.576237075442780502953295011199 y[1] (numeric) = 11.576237075442780502953295011201 absolute error = 2e-30 relative error = 1.7276771259658241107008383534055e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.913 y[1] (analytic) = 11.577841993902748099473350692127 y[1] (numeric) = 11.577841993902748099473350692129 absolute error = 2e-30 relative error = 1.7274376356606544127198476804584e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.914 y[1] (analytic) = 11.579447134867079277908138343347 y[1] (numeric) = 11.579447134867079277908138343349 absolute error = 2e-30 relative error = 1.7271981785535895042616895472919e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.915 y[1] (analytic) = 11.581052498366621830870120331754 y[1] (numeric) = 11.581052498366621830870120331756 absolute error = 2e-30 relative error = 1.7269587546400274697672551914263e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.916 y[1] (analytic) = 11.582658084432227827680286186056 y[1] (numeric) = 11.582658084432227827680286186059 absolute error = 3e-30 relative error = 2.5900790458730505473912652059202e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.917 y[1] (analytic) = 11.584263893094753614961071385365 y[1] (numeric) = 11.584263893094753614961071385368 absolute error = 3e-30 relative error = 2.5897200095625113248925994313718e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.918 y[1] (analytic) = 11.585869924385059817229358349471 y[1] (numeric) = 11.585869924385059817229358349474 absolute error = 3e-30 relative error = 2.5893610230215235340436494089622e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.919 y[1] (analytic) = 11.587476178334011337489559642219 y[1] (numeric) = 11.587476178334011337489559642221 absolute error = 2e-30 relative error = 1.7260013908287920854736133891254e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.92 y[1] (analytic) = 11.589082654972477357826783399362 y[1] (numeric) = 11.589082654972477357826783399365 absolute error = 3e-30 relative error = 2.5886431992206070171035706899260e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.921 y[1] (analytic) = 11.59068935433133134000008099232 y[1] (numeric) = 11.590689354331331340000080992323 absolute error = 3e-30 relative error = 2.5882843619468830666458464204259e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.922 y[1] (analytic) = 11.59229627644145102603577693921 y[1] (numeric) = 11.592296276441451026035776939213 absolute error = 3e-30 relative error = 2.5879255744151200988395284719083e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.923 y[1] (analytic) = 11.593903421333718438820881074584 y[1] (numeric) = 11.593903421333718438820881074587 absolute error = 3e-30 relative error = 2.5875668366184228916339024647098e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.924 y[1] (analytic) = 11.595510789039019882696582989254 y[1] (numeric) = 11.595510789039019882696582989257 absolute error = 3e-30 relative error = 2.5872081485498971787927452339359e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.925 y[1] (analytic) = 11.597118379588245944051828751626 y[1] (numeric) = 11.597118379588245944051828751629 absolute error = 3e-30 relative error = 2.5868495102026496497618299895701e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.926 y[1] (analytic) = 11.598726193012291491916979921939 y[1] (numeric) = 11.598726193012291491916979921942 absolute error = 3e-30 relative error = 2.5864909215697879495364498429961e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.927 y[1] (analytic) = 11.600334229342055678557554870829 y[1] (numeric) = 11.600334229342055678557554870832 absolute error = 3e-30 relative error = 2.5861323826444206785289596973850e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.928 y[1] (analytic) = 11.601942488608441940068052413616 y[1] (numeric) = 11.601942488608441940068052413619 absolute error = 3e-30 relative error = 2.5857738934196573924363364994038e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.929 y[1] (analytic) = 11.603550970842357996965857771739 y[1] (numeric) = 11.603550970842357996965857771741 absolute error = 2e-30 relative error = 1.7236103025924057347385052331320e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.3MB, time=5.80 x[1] = 1.93 y[1] (analytic) = 11.605159676074715854785230872741 y[1] (numeric) = 11.605159676074715854785230872743 absolute error = 2e-30 relative error = 1.7233713760295905156081326464034e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.931 y[1] (analytic) = 11.606768604336431804671377000232 y[1] (numeric) = 11.606768604336431804671377000234 absolute error = 2e-30 relative error = 1.7231324825867342180706986810353e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.932 y[1] (analytic) = 11.608377755658426423974599805233 y[1] (numeric) = 11.608377755658426423974599805235 absolute error = 2e-30 relative error = 1.7228936222592457591338265204004e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.933 y[1] (analytic) = 11.60998713007162457684453669033 y[1] (numeric) = 11.609987130071624576844536690333 absolute error = 3e-30 relative error = 2.5839821925638020383304076545757e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.934 y[1] (analytic) = 11.611596727606955414824476578057 y[1] (numeric) = 11.61159672760695541482447657806 absolute error = 3e-30 relative error = 2.5836240013980168106195540502664e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.935 y[1] (analytic) = 11.613206548295352377445760074918 y[1] (numeric) = 11.613206548295352377445760074921 absolute error = 3e-30 relative error = 2.5832658598846291945507390831253e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.936 y[1] (analytic) = 11.614816592167753192822262042493 y[1] (numeric) = 11.614816592167753192822262042496 absolute error = 3e-30 relative error = 2.5829077680167563833322876279396e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.937 y[1] (analytic) = 11.61642685925509987824495658703 y[1] (numeric) = 11.616426859255099878244956587033 absolute error = 3e-30 relative error = 2.5825497257875165242660147079288e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.938 y[1] (analytic) = 11.618037349588338740776564478963 y[1] (numeric) = 11.618037349588338740776564478967 absolute error = 4e-30 relative error = 3.4429223109200382914866256263010e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.939 y[1] (analytic) = 11.619648063198420377846283013788 y[1] (numeric) = 11.619648063198420377846283013791 absolute error = 3e-30 relative error = 2.5818337902174130214711959916983e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.94 y[1] (analytic) = 11.621259000116299677844598325702 y[1] (numeric) = 11.621259000116299677844598325706 absolute error = 4e-30 relative error = 3.4419678624837205888313548974330e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.941 y[1] (analytic) = 11.622870160372935820718180165475 y[1] (numeric) = 11.622870160372935820718180165479 absolute error = 4e-30 relative error = 3.4414907374923772552337679350999e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.942 y[1] (analytic) = 11.624481543999292278564859153947 y[1] (numeric) = 11.624481543999292278564859153951 absolute error = 4e-30 relative error = 3.4410136786400179155498847936854e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.943 y[1] (analytic) = 11.626093151026336816228686522616 y[1] (numeric) = 11.62609315102633681622868652262 absolute error = 4e-30 relative error = 3.4405366859174743952277264284439e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.944 y[1] (analytic) = 11.627704981485041491895076352738 y[1] (numeric) = 11.627704981485041491895076352741 absolute error = 3e-30 relative error = 2.5800448194866848429545664805167e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.945 y[1] (analytic) = 11.629317035406382657686030324371 y[1] (numeric) = 11.629317035406382657686030324375 absolute error = 4e-30 relative error = 3.4395828988251684687383714178207e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.946 y[1] (analytic) = 11.630929312821340960255444986826 y[1] (numeric) = 11.63092931282134096025544498683 absolute error = 4e-30 relative error = 3.4391061044370760672164326940945e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.947 y[1] (analytic) = 11.632541813760901341384501561933 y[1] (numeric) = 11.632541813760901341384501561937 absolute error = 4e-30 relative error = 3.4386293761421394939944665287553e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.948 y[1] (analytic) = 11.634154538256053038577138291591 y[1] (numeric) = 11.634154538256053038577138291595 absolute error = 4e-30 relative error = 3.4381527139311969272129056981471e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.949 y[1] (analytic) = 11.635767486337789585655605341035 y[1] (numeric) = 11.635767486337789585655605341039 absolute error = 4e-30 relative error = 3.4376761177950878150223486984131e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.95 y[1] (analytic) = 11.637380658037108813356102269262 y[1] (numeric) = 11.637380658037108813356102269266 absolute error = 4e-30 relative error = 3.4371995877246528754075111554078e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.951 y[1] (analytic) = 11.638994053385012849924498078074 y[1] (numeric) = 11.638994053385012849924498078078 absolute error = 4e-30 relative error = 3.4367231237107340960112016384300e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.952 y[1] (analytic) = 11.640607672412508121712133851173 y[1] (numeric) = 11.640607672412508121712133851177 absolute error = 4e-30 relative error = 3.4362467257441747339583218744024e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.953 y[1] (analytic) = 11.642221515150605353771707994771 y[1] (numeric) = 11.642221515150605353771707994775 absolute error = 4e-30 relative error = 3.4357703938158193156798913591082e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.954 y[1] (analytic) = 11.643835581630319570453244091158 y[1] (numeric) = 11.643835581630319570453244091161 absolute error = 3e-30 relative error = 2.5764705959373852275528222715801e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.955 y[1] (analytic) = 11.645449871882670096000141376684 y[1] (numeric) = 11.645449871882670096000141376687 absolute error = 3e-30 relative error = 2.5761134460278285712340224914597e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.956 y[1] (analytic) = 11.647064385938680555145307855613 y[1] (numeric) = 11.647064385938680555145307855617 absolute error = 4e-30 relative error = 3.4343417941684410236984566282912e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.957 y[1] (analytic) = 11.648679123829378873707376061303 y[1] (numeric) = 11.648679123829378873707376061307 absolute error = 4e-30 relative error = 3.4338657263013720247926007875845e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.958 y[1] (analytic) = 11.650294085585797279187001476167 y[1] (numeric) = 11.65029408558579727918700147617 absolute error = 3e-30 relative error = 2.5750422933200614764379702266500e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.959 y[1] (analytic) = 11.651909271238972301363243621876 y[1] (numeric) = 11.651909271238972301363243621879 absolute error = 3e-30 relative error = 2.5746853414015672452346079447771e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.96 y[1] (analytic) = 11.653524680819944772890029831277 y[1] (numeric) = 11.65352468081994477289002983128 absolute error = 3e-30 relative error = 2.5743284389636863799707999716282e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=122.0MB, alloc=4.3MB, time=5.99 TOP MAIN SOLVE Loop x[1] = 1.961 y[1] (analytic) = 11.65514031435975982989270171347 y[1] (numeric) = 11.655140314359759829892701713473 absolute error = 3e-30 relative error = 2.5739715859995598865573769441530e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.962 y[1] (analytic) = 11.65675617188946691256464432352 y[1] (numeric) = 11.656756171889466912564644323523 absolute error = 3e-30 relative error = 2.5736147825023297216977469341774e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.963 y[1] (analytic) = 11.658372253440119765763998048268 y[1] (numeric) = 11.658372253440119765763998048271 absolute error = 3e-30 relative error = 2.5732580284651387927560967453355e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.964 y[1] (analytic) = 11.659988559042776439610453219708 y[1] (numeric) = 11.659988559042776439610453219711 absolute error = 3e-30 relative error = 2.5729013238811309576256114799148e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.965 y[1] (analytic) = 11.661605088728499290082127467402 y[1] (numeric) = 11.661605088728499290082127467406 absolute error = 4e-30 relative error = 3.4300595583246013661289498307764e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.966 y[1] (analytic) = 11.663221842528354979612525821399 y[1] (numeric) = 11.663221842528354979612525821403 absolute error = 4e-30 relative error = 3.4295840840603263363004171892785e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.967 y[1] (analytic) = 11.66483882047341447768758357713 y[1] (numeric) = 11.664838820473414477687583577134 absolute error = 4e-30 relative error = 3.4291086757062117989347907960160e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.968 y[1] (analytic) = 11.666456022594753061442791933764 y[1] (numeric) = 11.666456022594753061442791933769 absolute error = 5e-30 relative error = 4.2857916665664016236929871053865e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.969 y[1] (analytic) = 11.668073448923450316260406417487 y[1] (numeric) = 11.668073448923450316260406417492 absolute error = 5e-30 relative error = 4.2851975708648995597191995976041e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.97 y[1] (analytic) = 11.669691099490590136366738101185 y[1] (numeric) = 11.66969109949059013636673810119 absolute error = 5e-30 relative error = 4.2846035575168411539151402950941e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.971 y[1] (analytic) = 11.671308974327260725429527632017 y[1] (numeric) = 11.671308974327260725429527632022 absolute error = 5e-30 relative error = 4.2840096265108105861272345403709e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.972 y[1] (analytic) = 11.672927073464554597155402078351 y[1] (numeric) = 11.672927073464554597155402078356 absolute error = 5e-30 relative error = 4.2834157778353936186609280867242e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.973 y[1] (analytic) = 11.674545396933568575887414607546 y[1] (numeric) = 11.674545396933568575887414607551 absolute error = 5e-30 relative error = 4.2828220114791775960613269017920e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.974 y[1] (analytic) = 11.676163944765403797202667006064 y[1] (numeric) = 11.676163944765403797202667006069 absolute error = 5e-30 relative error = 4.2822283274307514448938673788043e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.975 y[1] (analytic) = 11.6777827169911657085100150534 y[1] (numeric) = 11.677782716991165708510015053405 absolute error = 5e-30 relative error = 4.2816347256787056735250169512848e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.976 y[1] (analytic) = 11.679401713641964069647856761315 y[1] (numeric) = 11.679401713641964069647856761321 absolute error = 6e-30 relative error = 5.1372494474539588462836061283944e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.977 y[1] (analytic) = 11.681020934748912953482003489859 y[1] (numeric) = 11.681020934748912953482003489864 absolute error = 5e-30 relative error = 4.2804477690181252113385847969089e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.978 y[1] (analytic) = 11.682640380343130746503633951668 y[1] (numeric) = 11.682640380343130746503633951674 absolute error = 6e-30 relative error = 5.1358252969041353331429890820021e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.979 y[1] (analytic) = 11.684260050455740149427331116053 y[1] (numeric) = 11.684260050455740149427331116058 absolute error = 5e-30 relative error = 4.2792611414061919041229290846409e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.98 y[1] (analytic) = 11.685879945117868177789202024326 y[1] (numeric) = 11.685879945117868177789202024332 absolute error = 6e-30 relative error = 5.1344015411579532059197140328471e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.981 y[1] (analytic) = 11.687500064360646162545080527916 y[1] (numeric) = 11.687500064360646162545080527922 absolute error = 6e-30 relative error = 5.1336898113020240895424688518550e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.982 y[1] (analytic) = 11.68912040821520975066881296072 y[1] (numeric) = 11.689120408215209750668812960726 absolute error = 6e-30 relative error = 5.1329781801059648256188052778951e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.983 y[1] (analytic) = 11.690740976712698905750626757217 y[1] (numeric) = 11.690740976712698905750626757223 absolute error = 6e-30 relative error = 5.1322666475560992000090252023777e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.984 y[1] (analytic) = 11.692361769884257908595582027839 y[1] (numeric) = 11.692361769884257908595582027845 absolute error = 6e-30 relative error = 5.1315552136387528943678753563027e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.985 y[1] (analytic) = 11.69398278776103535782210610309 y[1] (numeric) = 11.693982787761035357822106103096 absolute error = 6e-30 relative error = 5.1308438783402534858817526113497e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.986 y[1] (analytic) = 11.695604030374184170460611057929 y[1] (numeric) = 11.695604030374184170460611057935 absolute error = 6e-30 relative error = 5.1301326416469304470059457095226e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.987 y[1] (analytic) = 11.697225497754861582552194227912 y[1] (numeric) = 11.697225497754861582552194227919 absolute error = 7e-30 relative error = 5.9843250874693010027355656523505e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.988 y[1] (analytic) = 11.698847189934229149747421728606 y[1] (numeric) = 11.698847189934229149747421728612 absolute error = 6e-30 relative error = 5.1287104640211408426745990922440e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.989 y[1] (analytic) = 11.700469106943452747905194989769 y[1] (numeric) = 11.700469106943452747905194989775 absolute error = 6e-30 relative error = 5.1279995230613426961097816780162e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.99 y[1] (analytic) = 11.70209124881370257369170031583 y[1] (numeric) = 11.702091248813702573691700315836 absolute error = 6e-30 relative error = 5.1272886806520577564114630877560e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.3MB, time=6.18 x[1] = 1.991 y[1] (analytic) = 11.70371361557615314517944148415 y[1] (numeric) = 11.703713615576153145179441484156 absolute error = 6e-30 relative error = 5.1265779367796249684392920057731e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.992 y[1] (analytic) = 11.7053362072619833024463553926 y[1] (numeric) = 11.705336207261983302446355392606 absolute error = 6e-30 relative error = 5.1258672914303851707460240815067e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.993 y[1] (analytic) = 11.706959023902376208175010767956 y[1] (numeric) = 11.706959023902376208175010767962 absolute error = 6e-30 relative error = 5.1251567445906810953150185177091e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.994 y[1] (analytic) = 11.708582065528519348251889946632 y[1] (numeric) = 11.708582065528519348251889946638 absolute error = 6e-30 relative error = 5.1244462962468573672977710468058e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.995 y[1] (analytic) = 11.710205332171604532366753739269 y[1] (numeric) = 11.710205332171604532366753739275 absolute error = 6e-30 relative error = 5.1237359463852605047514832903888e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.996 y[1] (analytic) = 11.711828823862827894612089390695 y[1] (numeric) = 11.711828823862827894612089390701 absolute error = 6e-30 relative error = 5.1230256949922389183766684968010e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.997 y[1] (analytic) = 11.713452540633389894082641646777 y[1] (numeric) = 11.713452540633389894082641646783 absolute error = 6e-30 relative error = 5.1223155420541429112547936517676e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 1.998 y[1] (analytic) = 11.715076482514495315475026939691 y[1] (numeric) = 11.715076482514495315475026939697 absolute error = 6e-30 relative error = 5.1216054875573246785859579570327e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 1.999 y[1] (analytic) = 11.716700649537353269687430703128 y[1] (numeric) = 11.716700649537353269687430703134 absolute error = 6e-30 relative error = 5.1208955314881383074266076719602e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = 11.718325041733177194419387828965 y[1] (numeric) = 11.71832504173317719441938782897 absolute error = 5e-30 relative error = 4.2668213948607831470227394275478e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.001 y[1] (analytic) = 11.719949659133184854771646276922 y[1] (numeric) = 11.719949659133184854771646276927 absolute error = 5e-30 relative error = 4.2662299288150724629753560053202e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.002 y[1] (analytic) = 11.721574501768598343846113848747 y[1] (numeric) = 11.721574501768598343846113848752 absolute error = 5e-30 relative error = 4.2656385447582830049234728231688e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.003 y[1] (analytic) = 11.723199569670644083345888138436 y[1] (numeric) = 11.723199569670644083345888138441 absolute error = 5e-30 relative error = 4.2650472426790494827501815383637e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.004 y[1] (analytic) = 11.724824862870552824175369670043 y[1] (numeric) = 11.724824862870552824175369670049 absolute error = 6e-30 relative error = 5.1173472270792098181517551034965e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.005 y[1] (analytic) = 11.726450381399559647040458234601 y[1] (numeric) = 11.726450381399559647040458234607 absolute error = 6e-30 relative error = 5.1166378612893563551513551298348e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.006 y[1] (analytic) = 11.728076125288903963048832437682 y[1] (numeric) = 11.728076125288903963048832437689 absolute error = 7e-30 relative error = 5.9685833594702773651771230137321e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.007 y[1] (analytic) = 11.729702094569829514310312469155 y[1] (numeric) = 11.729702094569829514310312469162 absolute error = 7e-30 relative error = 5.9677559954745937215595457698268e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.008 y[1] (analytic) = 11.731328289273584374537306106651 y[1] (numeric) = 11.731328289273584374537306106658 absolute error = 7e-30 relative error = 5.9669287461679644357850401383234e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.009 y[1] (analytic) = 11.732954709431420949645337964298 y[1] (numeric) = 11.732954709431420949645337964306 absolute error = 8e-30 relative error = 6.8184018417537043781975699663096e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (analytic) = 11.734581355074595978353661998257 y[1] (numeric) = 11.734581355074595978353661998265 absolute error = 8e-30 relative error = 6.8174566760666039243941231456086e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.011 y[1] (analytic) = 11.736208226234370532785957280597 y[1] (numeric) = 11.736208226234370532785957280605 absolute error = 8e-30 relative error = 6.8165116413982079713369787156910e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.012 y[1] (analytic) = 11.737835322942010019071107053066 y[1] (numeric) = 11.737835322942010019071107053074 absolute error = 8e-30 relative error = 6.8155667377303547288095294390042e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.013 y[1] (analytic) = 11.739462645228784177944061072291 y[1] (numeric) = 11.739462645228784177944061072298 absolute error = 7e-30 relative error = 5.9627942194142743086569705529832e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.014 y[1] (analytic) = 11.741090193125967085346781257961 y[1] (numeric) = 11.741090193125967085346781257969 absolute error = 8e-30 relative error = 6.8136773233236418020494345023800e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.015 y[1] (analytic) = 11.742717966664837153029270655549 y[1] (numeric) = 11.742717966664837153029270655557 absolute error = 8e-30 relative error = 6.8127328125484711239088085774413e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.016 y[1] (analytic) = 11.7443459658766771291506857251 y[1] (numeric) = 11.744345965876677129150685725109 absolute error = 9e-30 relative error = 7.6632619867888738137570992431763e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.017 y[1] (analytic) = 11.745974190792774098880531967671 y[1] (numeric) = 11.74597419079277409888053196768 absolute error = 9e-30 relative error = 7.6621997067342105688767148488054e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.018 y[1] (analytic) = 11.747602641444419484999942900944 y[1] (numeric) = 11.747602641444419484999942900953 absolute error = 9e-30 relative error = 7.6611375739326252535680356864936e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.019 y[1] (analytic) = 11.749231317862909048503042395591 y[1] (numeric) = 11.749231317862909048503042395599 absolute error = 8e-30 relative error = 6.8089560785455161525068884517006e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = 11.750860220079542889198390383935 y[1] (numeric) = 11.750860220079542889198390383943 absolute error = 8e-30 relative error = 6.8080122222284821832512609319811e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.021 y[1] (analytic) = 11.752489348125625446310511952476 y[1] (numeric) = 11.752489348125625446310511952484 absolute error = 8e-30 relative error = 6.8070684967486480619977776479965e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=129.7MB, alloc=4.3MB, time=6.37 TOP MAIN SOLVE Loop x[1] = 2.022 y[1] (analytic) = 11.754118702032465499081509829827 y[1] (numeric) = 11.754118702032465499081509829835 absolute error = 8e-30 relative error = 6.8061249020878771586734844294448e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.023 y[1] (analytic) = 11.755748281831376167372760281641 y[1] (numeric) = 11.755748281831376167372760281649 absolute error = 8e-30 relative error = 6.8051814382280353573019591727658e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.024 y[1] (analytic) = 11.757378087553674912266692424074 y[1] (numeric) = 11.757378087553674912266692424082 absolute error = 8e-30 relative error = 6.8042381051509910556548082135609e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.025 y[1] (analytic) = 11.759008119230683536668650967363 y[1] (numeric) = 11.759008119230683536668650967371 absolute error = 8e-30 relative error = 6.8032949028386151649032110085218e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.026 y[1] (analytic) = 11.760638376893728185908842401081 y[1] (numeric) = 11.76063837689372818590884240109 absolute error = 9e-30 relative error = 7.6526458101818787479282022601981e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.027 y[1] (analytic) = 11.762268860574139348344364632635 y[1] (numeric) = 11.762268860574139348344364632643 absolute error = 8e-30 relative error = 6.8014088904353648256788674977531e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.028 y[1] (analytic) = 11.76389957030325185596132009057 y[1] (numeric) = 11.763899570303251855961320090578 absolute error = 8e-30 relative error = 6.8004660803082447634109240474808e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.029 y[1] (analytic) = 11.765530506112404884977012304279 y[1] (numeric) = 11.765530506112404884977012304287 absolute error = 8e-30 relative error = 6.7995234008733018837515674856025e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.03 y[1] (analytic) = 11.767161668032941956442225971653 y[1] (numeric) = 11.767161668032941956442225971661 absolute error = 8e-30 relative error = 6.7985808521124196596447034674438e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.031 y[1] (analytic) = 11.768793056096210936843590526273 y[1] (numeric) = 11.768793056096210936843590526281 absolute error = 8e-30 relative error = 6.7976384340074840753440929858210e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.032 y[1] (analytic) = 11.770424670333564038706027215712 y[1] (numeric) = 11.77042467033356403870602721572 absolute error = 8e-30 relative error = 6.7966961465403836260652350321051e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.033 y[1] (analytic) = 11.772056510776357821195279702524 y[1] (numeric) = 11.772056510776357821195279702532 absolute error = 8e-30 relative error = 6.7957539896930093176372975132527e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.034 y[1] (analytic) = 11.773688577455953190720528199501 y[1] (numeric) = 11.773688577455953190720528199509 absolute error = 8e-30 relative error = 6.7948119634472546661550964181116e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.035 y[1] (analytic) = 11.775320870403715401537087150777 y[1] (numeric) = 11.775320870403715401537087150784 absolute error = 7e-30 relative error = 5.9446363093118887354272328230267e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.036 y[1] (analytic) = 11.776953389651014056349186470362 y[1] (numeric) = 11.77695338965101405634918647037 absolute error = 8e-30 relative error = 6.7929283026881909476476205530843e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.037 y[1] (analytic) = 11.778586135229223106912836349702 y[1] (numeric) = 11.77858613522922310691283634971 absolute error = 8e-30 relative error = 6.7919866681386814610087060232204e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.038 y[1] (analytic) = 11.780219107169720854638775645825 y[1] (numeric) = 11.780219107169720854638775645832 absolute error = 7e-30 relative error = 5.9421645186035919424684763217017e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.039 y[1] (analytic) = 11.781852305503889951195503861684 y[1] (numeric) = 11.781852305503889951195503861692 absolute error = 8e-30 relative error = 6.7901037906092250010035677358457e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 11.783485730263117399112396730285 y[1] (numeric) = 11.783485730263117399112396730293 absolute error = 8e-30 relative error = 6.7891625475930926602247442172744e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.041 y[1] (analytic) = 11.785119381478794552382905414168 y[1] (numeric) = 11.785119381478794552382905414176 absolute error = 8e-30 relative error = 6.7882214350519048472698945655129e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.042 y[1] (analytic) = 11.786753259182317117067839331864 y[1] (numeric) = 11.786753259182317117067839331872 absolute error = 8e-30 relative error = 6.7872804529675751478360571180141e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.043 y[1] (analytic) = 11.788387363405085151898732622898 y[1] (numeric) = 11.788387363405085151898732622907 absolute error = 9e-30 relative error = 7.6346320514872721116003885181797e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.044 y[1] (analytic) = 11.790021694178503068881294262951 y[1] (numeric) = 11.790021694178503068881294262961 absolute error = 1.0e-29 relative error = 8.4817486001214462095627336763335e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.045 y[1] (analytic) = 11.791656251533979633898941840762 y[1] (numeric) = 11.791656251533979633898941840771 absolute error = 9e-30 relative error = 7.6325155754342717166528124032992e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.046 y[1] (analytic) = 11.793291035502927967316419008379 y[1] (numeric) = 11.793291035502927967316419008388 absolute error = 9e-30 relative error = 7.6314575574418465594132815493887e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.047 y[1] (analytic) = 11.794926046116765544583496616361 y[1] (numeric) = 11.79492604611676554458349661637 absolute error = 9e-30 relative error = 7.6303996861116929995256899912419e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.048 y[1] (analytic) = 11.796561283406914196838757545527 y[1] (numeric) = 11.796561283406914196838757545536 absolute error = 9e-30 relative error = 7.6293419614234807382010811686082e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.049 y[1] (analytic) = 11.798196747404800111513465246856 y[1] (numeric) = 11.798196747404800111513465246865 absolute error = 9e-30 relative error = 7.6282843833568822948330095830067e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 11.799832438141853832935516001148 y[1] (numeric) = 11.799832438141853832935516001157 absolute error = 9e-30 relative error = 7.6272269518915730066068848241914e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.051 y[1] (analytic) = 11.801468355649510262933474910047 y[1] (numeric) = 11.801468355649510262933474910056 absolute error = 9e-30 relative error = 7.6261696670072310281093697492803e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=133.5MB, alloc=4.3MB, time=6.56 x[1] = 2.052 y[1] (analytic) = 11.803104499959208661440695630039 y[1] (numeric) = 11.803104499959208661440695630048 absolute error = 9e-30 relative error = 7.6251125286835373309378328070415e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.053 y[1] (analytic) = 11.804740871102392647099523861034 y[1] (numeric) = 11.804740871102392647099523861043 absolute error = 9e-30 relative error = 7.6240555369001757033098544998297e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.054 y[1] (analytic) = 11.806377469110510197865584601143 y[1] (numeric) = 11.806377469110510197865584601151 absolute error = 8e-30 relative error = 6.7759988370105179997091448672622e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.055 y[1] (analytic) = 11.808014294015013651612153179258 y[1] (numeric) = 11.808014294015013651612153179267 absolute error = 9e-30 relative error = 7.6219419928731978903133737429877e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.056 y[1] (analytic) = 11.809651345847359706734610077067 y[1] (numeric) = 11.809651345847359706734610077076 absolute error = 9e-30 relative error = 7.6208854405889633609674085004731e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.057 y[1] (analytic) = 11.811288624639009422754979552093 y[1] (numeric) = 11.811288624639009422754979552102 absolute error = 9e-30 relative error = 7.6198290347638242124294680745933e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.058 y[1] (analytic) = 11.812926130421428220926552073406 y[1] (numeric) = 11.812926130421428220926552073415 absolute error = 9e-30 relative error = 7.6187727753774783101626844572357e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.059 y[1] (analytic) = 11.814563863226085884838590581601 y[1] (numeric) = 11.81456386322608588483859058161 absolute error = 9e-30 relative error = 7.6177166624096263339085769359971e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 11.81620182308445656102112058468 y[1] (numeric) = 11.816201823084456561021120584689 absolute error = 9e-30 relative error = 7.6166606958399717772969373096114e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.061 y[1] (analytic) = 11.817840010028018759549804101457 y[1] (numeric) = 11.817840010028018759549804101466 absolute error = 9e-30 relative error = 7.6156048756482209474557691810203e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.062 y[1] (analytic) = 11.819478424088255354650897464104 y[1] (numeric) = 11.819478424088255354650897464113 absolute error = 9e-30 relative error = 7.6145492018140829646212813205958e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.063 y[1] (analytic) = 11.821117065296653585306292991475 y[1] (numeric) = 11.821117065296653585306292991484 absolute error = 9e-30 relative error = 7.6134936743172697617479350920109e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.064 y[1] (analytic) = 11.822755933684705055858644544827 y[1] (numeric) = 11.822755933684705055858644544835 absolute error = 8e-30 relative error = 6.7666118161222187414387074962419e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.065 y[1] (analytic) = 11.824395029283905736616576977568 y[1] (numeric) = 11.824395029283905736616576977577 absolute error = 9e-30 relative error = 7.6113830582544794889544388854180e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.066 y[1] (analytic) = 11.826034352125755964459979490676 y[1] (numeric) = 11.826034352125755964459979490684 absolute error = 8e-30 relative error = 6.7647359730203914178005850323417e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.067 y[1] (analytic) = 11.827673902241760443445382905394 y[1] (numeric) = 11.827673902241760443445382905403 absolute error = 9e-30 relative error = 7.6092730272976018322612307475639e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.068 y[1] (analytic) = 11.829313679663428245411420864873 y[1] (numeric) = 11.829313679663428245411420864882 absolute error = 9e-30 relative error = 7.6082182311831899413594840305432e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.069 y[1] (analytic) = 11.830953684422272810584374976357 y[1] (numeric) = 11.830953684422272810584374976366 absolute error = 9e-30 relative error = 7.6071635812844334733984174415582e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 11.832593916549811948183803905585 y[1] (numeric) = 11.832593916549811948183803905594 absolute error = 9e-30 relative error = 7.6061090775810640394461281111538e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.071 y[1] (analytic) = 11.834234376077567837028256435025 y[1] (numeric) = 11.834234376077567837028256435034 absolute error = 9e-30 relative error = 7.6050547200528160601712905265765e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.072 y[1] (analytic) = 11.83587506303706702614106849759 y[1] (numeric) = 11.835875063037067026141068497599 absolute error = 9e-30 relative error = 7.6040005086794267654536901844101e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.073 y[1] (analytic) = 11.837515977459840435356244197476 y[1] (numeric) = 11.837515977459840435356244197485 absolute error = 9e-30 relative error = 7.6029464434406361939948112309678e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.074 y[1] (analytic) = 11.839157119377423355924420829767 y[1] (numeric) = 11.839157119377423355924420829775 absolute error = 8e-30 relative error = 6.7572377993921663937142027404087e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.075 y[1] (analytic) = 11.84079848882135545111891791045 y[1] (numeric) = 11.840798488821355451118917910458 absolute error = 8e-30 relative error = 6.7563011122540670377169342408466e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.076 y[1] (analytic) = 11.842440085823180756841870228496 y[1] (numeric) = 11.842440085823180756841870228504 absolute error = 8e-30 relative error = 6.7553645549593771825197117761180e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.077 y[1] (analytic) = 11.844081910414447682230444931639 y[1] (numeric) = 11.844081910414447682230444931647 absolute error = 8e-30 relative error = 6.7544281274900979570960772505860e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.078 y[1] (analytic) = 11.845723962626709010263142657519 y[1] (numeric) = 11.845723962626709010263142657527 absolute error = 8e-30 relative error = 6.7534918298282329854199693740951e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.079 y[1] (analytic) = 11.847366242491521898366182721836 y[1] (numeric) = 11.847366242491521898366182721844 absolute error = 8e-30 relative error = 6.7525556619557883861198671373634e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 11.849008750040447879019972375166 y[1] (numeric) = 11.849008750040447879019972375173 absolute error = 7e-30 relative error = 5.9076671708729261756163585762041e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.081 y[1] (analytic) = 11.850651485305052860365660140092 y[1] (numeric) = 11.850651485305052860365660140099 absolute error = 7e-30 relative error = 5.9068482510687975940645567198689e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.082 y[1] (analytic) = 11.852294448316907126811773240321 y[1] (numeric) = 11.852294448316907126811773240328 absolute error = 7e-30 relative error = 5.9060294447831909936522382446020e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=137.3MB, alloc=4.3MB, time=6.75 TOP MAIN SOLVE Loop x[1] = 2.083 y[1] (analytic) = 11.853937639107585339640939133423 y[1] (numeric) = 11.85393763910758533964093913343 absolute error = 7e-30 relative error = 5.9052107520003704564448075678164e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.084 y[1] (analytic) = 11.855581057708666537616691158874 y[1] (numeric) = 11.855581057708666537616691158881 absolute error = 7e-30 relative error = 5.9043921727046022458178986874993e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.085 y[1] (analytic) = 11.85722470415173413759035831305 y[1] (numeric) = 11.857224704151734137590358313057 absolute error = 7e-30 relative error = 5.9035737068801548061550023344739e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.086 y[1] (analytic) = 11.858868578468375935108039162841 y[1] (numeric) = 11.858868578468375935108039162848 absolute error = 7e-30 relative error = 5.9027553545112987625451350395319e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.087 y[1] (analytic) = 11.860512680690184105017659909548 y[1] (numeric) = 11.860512680690184105017659909556 absolute error = 8e-30 relative error = 6.7450709892369221948349144110049e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.088 y[1] (analytic) = 11.862157010848755202076116614739 y[1] (numeric) = 11.862157010848755202076116614746 absolute error = 7e-30 relative error = 5.9011189900774542655544905073295e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.089 y[1] (analytic) = 11.863801568975690161556501599703 y[1] (numeric) = 11.863801568975690161556501599711 absolute error = 8e-30 relative error = 6.7432011176925919578959812888012e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (analytic) = 11.865446355102594299855414030223 y[1] (numeric) = 11.86544635510259429985541403023 absolute error = 7e-30 relative error = 5.8994830792772773581826779668359e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.091 y[1] (analytic) = 11.867091369261077315100354698278 y[1] (numeric) = 11.867091369261077315100354698285 absolute error = 7e-30 relative error = 5.8986652939505139747087216762118e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.092 y[1] (analytic) = 11.868736611482753287757205012401 y[1] (numeric) = 11.868736611482753287757205012408 absolute error = 7e-30 relative error = 5.8978476219850115157126829970658e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.093 y[1] (analytic) = 11.87038208179924068123779020833 y[1] (numeric) = 11.870382081799240681237790208337 absolute error = 7e-30 relative error = 5.8970300633650558627605125689929e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.094 y[1] (analytic) = 11.872027780242162342507526791652 y[1] (numeric) = 11.872027780242162342507526791659 absolute error = 7e-30 relative error = 5.8962126180749350757065476069514e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.095 y[1] (analytic) = 11.873673706843145502693154224103 y[1] (numeric) = 11.87367370684314550269315422411 absolute error = 7e-30 relative error = 5.8953952860989393923915579408813e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.096 y[1] (analytic) = 11.875319861633821777690550865209 y[1] (numeric) = 11.875319861633821777690550865216 absolute error = 7e-30 relative error = 5.8945780674213612283408339121279e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.097 y[1] (analytic) = 11.876966244645827168772634180954 y[1] (numeric) = 11.876966244645827168772634180961 absolute error = 7e-30 relative error = 5.8937609620264951764623161208663e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.098 y[1] (analytic) = 11.878612855910802063197345231146 y[1] (numeric) = 11.878612855910802063197345231153 absolute error = 7e-30 relative error = 5.8929439698986380067447670187326e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.099 y[1] (analytic) = 11.880259695460391234815717447178 y[1] (numeric) = 11.880259695460391234815717447185 absolute error = 7e-30 relative error = 5.8921270910220886659559843408529e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (analytic) = 11.881906763326243844680029711861 y[1] (numeric) = 11.881906763326243844680029711868 absolute error = 7e-30 relative error = 5.8913103253811482773410563714767e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.101 y[1] (analytic) = 11.883554059540013441652043753018 y[1] (numeric) = 11.883554059540013441652043753026 absolute error = 8e-30 relative error = 6.7319927690972801603664674713293e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.102 y[1] (analytic) = 11.885201584133357963011325862537 y[1] (numeric) = 11.885201584133357963011325862544 absolute error = 7e-30 relative error = 5.8896771337433097301893948234694e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.103 y[1] (analytic) = 11.886849337137939735063652952554 y[1] (numeric) = 11.886849337137939735063652952561 absolute error = 7e-30 relative error = 5.8888607077150246978141735041022e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.104 y[1] (analytic) = 11.888497318585425473749502960485 y[1] (numeric) = 11.888497318585425473749502960492 absolute error = 7e-30 relative error = 5.8880443948595748693326346854737e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.105 y[1] (analytic) = 11.890145528507486285252629614577 y[1] (numeric) = 11.890145528507486285252629614584 absolute error = 7e-30 relative error = 5.8872281951612722458516121521275e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.106 y[1] (analytic) = 11.891793966935797666608721571689 y[1] (numeric) = 11.891793966935797666608721571695 absolute error = 6e-30 relative error = 5.0454960930895122884105485821273e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.107 y[1] (analytic) = 11.893442633902039506314145938989 y[1] (numeric) = 11.893442633902039506314145938995 absolute error = 6e-30 relative error = 5.0447966872914578497332862605879e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.108 y[1] (analytic) = 11.895091529437896084934776191283 y[1] (numeric) = 11.895091529437896084934776191288 absolute error = 5e-30 relative error = 4.2034144820374287390620102755018e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.109 y[1] (analytic) = 11.896740653575056075714904495649 y[1] (numeric) = 11.896740653575056075714904495655 absolute error = 6e-30 relative error = 5.0433981665364427980931466672918e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (analytic) = 11.898390006345212545186238455116 y[1] (numeric) = 11.898390006345212545186238455121 absolute error = 5e-30 relative error = 4.2022492096271710371802167487542e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.111 y[1] (analytic) = 11.900039587780062953776982283044 y[1] (numeric) = 11.90003958778006295377698228305 absolute error = 6e-30 relative error = 5.0420000334799661503798301642804e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.112 y[1] (analytic) = 11.901689397911309156421002419964 y[1] (numeric) = 11.90168939791130915642100241997 absolute error = 6e-30 relative error = 5.0413011123050917017710326740691e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.113 y[1] (analytic) = 11.903339436770657403167077604535 y[1] (numeric) = 11.903339436770657403167077604541 absolute error = 6e-30 relative error = 5.0406022880145499473699690567785e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=141.1MB, alloc=4.3MB, time=6.94 TOP MAIN SOLVE Loop x[1] = 2.114 y[1] (analytic) = 11.904989704389818339788233410366 y[1] (numeric) = 11.904989704389818339788233410371 absolute error = 5e-30 relative error = 4.1999196338290923314096079155463e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.115 y[1] (analytic) = 11.906640200800507008391161260384 y[1] (numeric) = 11.906640200800507008391161260389 absolute error = 5e-30 relative error = 4.1993374416939550207727432200533e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.116 y[1] (analytic) = 11.908290926034442848025721930482 y[1] (numeric) = 11.908290926034442848025721930487 absolute error = 5e-30 relative error = 4.1987553302621910522395469951525e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.117 y[1] (analytic) = 11.909941880123349695294533554146 y[1] (numeric) = 11.909941880123349695294533554151 absolute error = 5e-30 relative error = 4.1981732995226133381190134822313e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.118 y[1] (analytic) = 11.911593063098955784962644139784 y[1] (numeric) = 11.911593063098955784962644139789 absolute error = 5e-30 relative error = 4.1975913494640363414723028294789e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.119 y[1] (analytic) = 11.913244474992993750567288612465 y[1] (numeric) = 11.913244474992993750567288612471 absolute error = 6e-30 relative error = 5.0364113760903312910773313129934e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.12 y[1] (analytic) = 11.914896115837200625027730391803 y[1] (numeric) = 11.914896115837200625027730391809 absolute error = 6e-30 relative error = 5.0357132296141801263792720519635e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.121 y[1] (analytic) = 11.916547985663317841255187517685 y[1] (numeric) = 11.91654798566331784125518751769 absolute error = 5e-30 relative error = 4.1958459832624775437551417486536e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.122 y[1] (analytic) = 11.918200084503091232762843335576 y[1] (numeric) = 11.918200084503091232762843335582 absolute error = 6e-30 relative error = 5.0343172269792948661625915661641e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.123 y[1] (analytic) = 11.919852412388271034275941753135 y[1] (numeric) = 11.919852412388271034275941753141 absolute error = 6e-30 relative error = 5.0336193707937322236662692023780e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.124 y[1] (analytic) = 11.92150496935061188234196707984 y[1] (numeric) = 11.921504969350611882341967079846 absolute error = 6e-30 relative error = 5.0329216113448736406903231309042e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.125 y[1] (analytic) = 11.923157755421872815940908461371 y[1] (numeric) = 11.923157755421872815940908461376 absolute error = 5e-30 relative error = 4.1935199571827579100045977744762e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.126 y[1] (analytic) = 11.924810770633817277095608920469 y[1] (numeric) = 11.924810770633817277095608920474 absolute error = 5e-30 relative error = 4.1929386521696933426854598620593e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.127 y[1] (analytic) = 11.926464015018213111482199016011 y[1] (numeric) = 11.926464015018213111482199016016 absolute error = 5e-30 relative error = 4.1923574277370294087786588922305e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.128 y[1] (analytic) = 11.928117488606832569040615132013 y[1] (numeric) = 11.928117488606832569040615132018 absolute error = 5e-30 relative error = 4.1917762838735960670488545811870e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.129 y[1] (analytic) = 11.929771191431452304585202408316 y[1] (numeric) = 11.929771191431452304585202408321 absolute error = 5e-30 relative error = 4.1911952205682248246498958081664e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.13 y[1] (analytic) = 11.931425123523853378415402324675 y[1] (numeric) = 11.931425123523853378415402324679 absolute error = 4e-30 relative error = 3.3524913902477989895281465385188e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.131 y[1] (analytic) = 11.933079284915821256926524949988 y[1] (numeric) = 11.933079284915821256926524949993 absolute error = 5e-30 relative error = 4.1900333355870024071180613075641e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.132 y[1] (analytic) = 11.934733675639145813220605868419 y[1] (numeric) = 11.934733675639145813220605868424 absolute error = 5e-30 relative error = 4.1894525138888219863072409338806e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.133 y[1] (analytic) = 11.93638829572562132771734779413 y[1] (numeric) = 11.936388295725621327717347794134 absolute error = 4e-30 relative error = 3.3510974181632361384338005359586e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.134 y[1] (analytic) = 11.938043145207046488765146886376 y[1] (numeric) = 11.93804314520704648876514688638 absolute error = 4e-30 relative error = 3.3506328896172089705631348591849e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.135 y[1] (analytic) = 11.939698224115224393252203776717 y[1] (numeric) = 11.939698224115224393252203776722 absolute error = 5e-30 relative error = 4.1877105318300608997748834260441e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.136 y[1] (analytic) = 11.941353532481962547217719320069 y[1] (numeric) = 11.941353532481962547217719320073 absolute error = 4e-30 relative error = 3.3497040256948292581001085935464e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.137 y[1] (analytic) = 11.943009070339072866463175081348 y[1] (numeric) = 11.943009070339072866463175081352 absolute error = 4e-30 relative error = 3.3492396903006256946380708122595e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.138 y[1] (analytic) = 11.944664837718371677163698569469 y[1] (numeric) = 11.944664837718371677163698569472 absolute error = 3e-30 relative error = 2.5115815644543857818762066104394e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.139 y[1] (analytic) = 11.946320834651679716479513230426 y[1] (numeric) = 11.94632083465167971647951323043 absolute error = 4e-30 relative error = 3.3483112126015728850871938531989e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.14 y[1] (analytic) = 11.947977061170822133167473211226 y[1] (numeric) = 11.947977061170822133167473211231 absolute error = 5e-30 relative error = 4.1848088378486000532689345136830e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.141 y[1] (analytic) = 11.94963351730762848819268290641 y[1] (numeric) = 11.949633517307628488192682906415 absolute error = 5e-30 relative error = 4.1842287403693948816144090234123e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.142 y[1] (analytic) = 11.951290203093932755340201298926 y[1] (numeric) = 11.951290203093932755340201298931 absolute error = 5e-30 relative error = 4.1836487233032022080875425618978e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.143 y[1] (analytic) = 11.952947118561573321826831107115 y[1] (numeric) = 11.952947118561573321826831107119 absolute error = 4e-30 relative error = 3.3464550293111001558139462711994e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=144.9MB, alloc=4.3MB, time=7.12 x[1] = 2.144 y[1] (analytic) = 11.954604263742392988912992749548 y[1] (numeric) = 11.954604263742392988912992749553 absolute error = 5e-30 relative error = 4.1824889303652685489059272828952e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.145 y[1] (analytic) = 11.956261638668238972514683139501 y[1] (numeric) = 11.956261638668238972514683139507 absolute error = 6e-30 relative error = 5.0182909853654862272561177520746e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.146 y[1] (analytic) = 11.957919243370962903815519320801 y[1] (numeric) = 11.957919243370962903815519320806 absolute error = 5e-30 relative error = 4.1813294589456429131447471864595e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.147 y[1] (analytic) = 11.959577077882420829878866956818 y[1] (numeric) = 11.959577077882420829878866956823 absolute error = 5e-30 relative error = 4.1807498437773410616849403257970e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.148 y[1] (analytic) = 11.961235142234473214260053684376 y[1] (numeric) = 11.961235142234473214260053684381 absolute error = 5e-30 relative error = 4.1801703089551938541352382707690e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.149 y[1] (analytic) = 11.962893436458984937618667344331 y[1] (numeric) = 11.962893436458984937618667344336 absolute error = 5e-30 relative error = 4.1795908544680637203989571031448e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.15 y[1] (analytic) = 11.964551960587825298330939100593 y[1] (numeric) = 11.964551960587825298330939100597 absolute error = 4e-30 relative error = 3.3432091842438517074139667428795e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.151 y[1] (analytic) = 11.966210714652868013102211459356 y[1] (numeric) = 11.966210714652868013102211459361 absolute error = 5e-30 relative error = 4.1784321864543121132061358821708e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.152 y[1] (analytic) = 11.967869698685991217579491200323 y[1] (numeric) = 11.967869698685991217579491200328 absolute error = 5e-30 relative error = 4.1778529729054232181404313002277e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.153 y[1] (analytic) = 11.969528912719077466964087231664 y[1] (numeric) = 11.96952891271907746696408723167 absolute error = 6e-30 relative error = 5.0127286075764198638902566658139e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.154 y[1] (analytic) = 11.971188356784013736624333380522 y[1] (numeric) = 11.971188356784013736624333380527 absolute error = 5e-30 relative error = 4.1766947866679622657141890464614e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.155 y[1] (analytic) = 11.972848030912691422708396130804 y[1] (numeric) = 11.972848030912691422708396130809 absolute error = 5e-30 relative error = 4.1761158139571320455793368507227e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.156 y[1] (analytic) = 11.974507935137006342757167320066 y[1] (numeric) = 11.974507935137006342757167320071 absolute error = 5e-30 relative error = 4.1755369215033991254637135153865e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.157 y[1] (analytic) = 11.976168069488858736317241807251 y[1] (numeric) = 11.976168069488858736317241807256 absolute error = 5e-30 relative error = 4.1749581092956382803842825031874e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.158 y[1] (analytic) = 11.977828434000153265553980123061 y[1] (numeric) = 11.977828434000153265553980123067 absolute error = 6e-30 relative error = 5.0092552527872709930417303318613e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.159 y[1] (analytic) = 11.979489028702799015864656114762 y[1] (numeric) = 11.979489028702799015864656114768 absolute error = 6e-30 relative error = 5.0085608706882475512862980240530e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.16 y[1] (analytic) = 11.981149853628709496491689597178 y[1] (numeric) = 11.981149853628709496491689597184 absolute error = 6e-30 relative error = 5.0078665848443508922820039957515e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.161 y[1] (analytic) = 11.982810908809802641135964021688 y[1] (numeric) = 11.982810908809802641135964021693 absolute error = 5e-30 relative error = 4.1726436627018651224655365324196e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.162 y[1] (analytic) = 11.98447219427800080857022917499 y[1] (numeric) = 11.984472194278000808570229174994 absolute error = 4e-30 relative error = 3.3376522012457121972214813035192e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.163 y[1] (analytic) = 11.986133710065230783252588919435 y[1] (numeric) = 11.986133710065230783252588919439 absolute error = 4e-30 relative error = 3.3371895364733347791657081568437e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.164 y[1] (analytic) = 11.987795456203423775940073986715 y[1] (numeric) = 11.987795456203423775940073986719 absolute error = 4e-30 relative error = 3.3367269358354682964179695182063e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.165 y[1] (analytic) = 11.989457432724515424302299836696 y[1] (numeric) = 11.9894574327245154243022998367 absolute error = 4e-30 relative error = 3.3362643993232224341358900953806e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.166 y[1] (analytic) = 11.991119639660445793535209593189 y[1] (numeric) = 11.991119639660445793535209593194 absolute error = 5e-30 relative error = 4.1697524086596351373137555361446e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.167 y[1] (analytic) = 11.992782077043159376974902068464 y[1] (numeric) = 11.992782077043159376974902068469 absolute error = 5e-30 relative error = 4.1691743983000468416224067916793e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.168 y[1] (analytic) = 11.994444744904605096711544888284 y[1] (numeric) = 11.994444744904605096711544888289 absolute error = 5e-30 relative error = 4.1685964680641548828044207737702e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.169 y[1] (analytic) = 11.996107643276736304203372729279 y[1] (numeric) = 11.996107643276736304203372729283 absolute error = 4e-30 relative error = 3.3344148943526820223162079912860e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.17 y[1] (analytic) = 11.997770772191510780890770680441 y[1] (numeric) = 11.997770772191510780890770680446 absolute error = 5e-30 relative error = 4.1674408479190345835437945296877e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.171 y[1] (analytic) = 11.999434131680890738810442740561 y[1] (numeric) = 11.999434131680890738810442740566 absolute error = 5e-30 relative error = 4.1668631579875973957988811278409e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.172 y[1] (analytic) = 12.001097721776842821209665463386 y[1] (numeric) = 12.001097721776842821209665463392 absolute error = 6e-30 relative error = 4.9995426577625266198751661547670e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.173 y[1] (analytic) = 12.002761542511338103160626762331 y[1] (numeric) = 12.002761542511338103160626762336 absolute error = 5e-30 relative error = 4.1657080183514583700437520445721e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.174 y[1] (analytic) = 12.00442559391635209217484988652 y[1] (numeric) = 12.004425593916352092174849886525 absolute error = 5e-30 relative error = 4.1651305686245569192108086814015e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=148.7MB, alloc=4.3MB, time=7.31 TOP MAIN SOLVE Loop x[1] = 2.175 y[1] (analytic) = 12.006089876023864728817702579997 y[1] (numeric) = 12.006089876023864728817702580002 absolute error = 5e-30 relative error = 4.1645531989436369989123271760838e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.176 y[1] (analytic) = 12.007754388865860387322991435887 y[1] (numeric) = 12.007754388865860387322991435892 absolute error = 5e-30 relative error = 4.1639759092976026489968185976710e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.177 y[1] (analytic) = 12.009419132474327876207641457341 y[1] (numeric) = 12.009419132474327876207641457346 absolute error = 5e-30 relative error = 4.1633986996753594474328761140844e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.178 y[1] (analytic) = 12.011084106881260438886460837062 y[1] (numeric) = 12.011084106881260438886460837067 absolute error = 5e-30 relative error = 4.1628215700658145100959610516664e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.179 y[1] (analytic) = 12.012749312118655754286990967237 y[1] (numeric) = 12.012749312118655754286990967242 absolute error = 5e-30 relative error = 4.1622445204578764905552185104128e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.18 y[1] (analytic) = 12.014414748218515937464441691689 y[1] (numeric) = 12.014414748218515937464441691694 absolute error = 5e-30 relative error = 4.1616675508404555798603225307850e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.181 y[1] (analytic) = 12.016080415212847540216711812059 y[1] (numeric) = 12.016080415212847540216711812064 absolute error = 5e-30 relative error = 4.1610906612024635063283508080124e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.182 y[1] (analytic) = 12.017746313133661551699494859853 y[1] (numeric) = 12.017746313133661551699494859858 absolute error = 5e-30 relative error = 4.1605138515328135353306889497809e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.183 y[1] (analytic) = 12.019412442012973399041470146159 y[1] (numeric) = 12.019412442012973399041470146164 absolute error = 5e-30 relative error = 4.1599371218204204690799642732197e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.184 y[1] (analytic) = 12.021078801882802947959579100865 y[1] (numeric) = 12.02107880188280294795957910087 absolute error = 5e-30 relative error = 4.1593604720542006464170091370876e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.185 y[1] (analytic) = 12.022745392775174503374386913207 y[1] (numeric) = 12.022745392775174503374386913211 absolute error = 4e-30 relative error = 3.3270271217784575540782830440507e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.186 y[1] (analytic) = 12.024412214722116810025529485457 y[1] (numeric) = 12.024412214722116810025529485462 absolute error = 5e-30 relative error = 4.1582074123159537690807488360532e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.187 y[1] (analytic) = 12.026079267755663053087245711605 y[1] (numeric) = 12.02607926775566305308724571161 absolute error = 5e-30 relative error = 4.1576310023217670733132169974110e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.188 y[1] (analytic) = 12.027746551907850858783995092832 y[1] (numeric) = 12.027746551907850858783995092837 absolute error = 5e-30 relative error = 4.1570546722294343385191346969927e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.189 y[1] (analytic) = 12.02941406721072229500616070163 y[1] (numeric) = 12.029414067210722295006160701635 absolute error = 5e-30 relative error = 4.1564784220278795834858429299418e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.19 y[1] (analytic) = 12.031081813696323871925837506397 y[1] (numeric) = 12.031081813696323871925837506402 absolute error = 5e-30 relative error = 4.1559022517060283623512877361183e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.191 y[1] (analytic) = 12.032749791396706542612706068327 y[1] (numeric) = 12.032749791396706542612706068332 absolute error = 5e-30 relative error = 4.1553261612528077643911901640838e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.192 y[1] (analytic) = 12.034418000343925703649991622451 y[1] (numeric) = 12.034418000343925703649991622457 absolute error = 6e-30 relative error = 4.9857001807885756965674948850559e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.193 y[1] (analytic) = 12.036086440570041195750508554656 y[1] (numeric) = 12.036086440570041195750508554662 absolute error = 6e-30 relative error = 4.9850090638895693634112241042163e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.194 y[1] (analytic) = 12.037755112107117304372790286514 y[1] (numeric) = 12.03775511210711730437279028652 absolute error = 6e-30 relative error = 4.9843180427930683498954488896751e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.195 y[1] (analytic) = 12.039424014987222760337304579782 y[1] (numeric) = 12.039424014987222760337304579788 absolute error = 6e-30 relative error = 4.9836271174857925292591020947677e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.196 y[1] (analytic) = 12.041093149242430740442754272395 y[1] (numeric) = 12.0410931492424307404427542724 absolute error = 5e-30 relative error = 4.1524469066287196796916644278006e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.197 y[1] (analytic) = 12.042762514904818868082463457807 y[1] (numeric) = 12.042762514904818868082463457812 absolute error = 5e-30 relative error = 4.1518712951548376364747043173049e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.198 y[1] (analytic) = 12.044432112006469213860849119529 y[1] (numeric) = 12.044432112006469213860849119534 absolute error = 5e-30 relative error = 4.1512957634721188073484208734759e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.199 y[1] (analytic) = 12.046101940579468296209978232697 y[1] (numeric) = 12.046101940579468296209978232702 absolute error = 5e-30 relative error = 4.1507203115695025550323933547440e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.2 y[1] (analytic) = 12.047772000655907082006210344533 y[1] (numeric) = 12.047772000655907082006210344539 absolute error = 6e-30 relative error = 4.9801739273231157305637993891397e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.201 y[1] (analytic) = 12.049442292267880987186925645551 y[1] (numeric) = 12.049442292267880987186925645556 absolute error = 5e-30 relative error = 4.1495696470603428976150469546556e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.202 y[1] (analytic) = 12.051112815447489877367338543337 y[1] (numeric) = 12.051112815447489877367338543342 absolute error = 5e-30 relative error = 4.1489944344316858832209342940548e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.203 y[1] (analytic) = 12.052783570226838068457396750793 y[1] (numeric) = 12.052783570226838068457396750798 absolute error = 5e-30 relative error = 4.1484193015389042266265079900497e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.204 y[1] (analytic) = 12.054454556638034327278765900671 y[1] (numeric) = 12.054454556638034327278765900676 absolute error = 5e-30 relative error = 4.1478442483709449545444489667570e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.205 y[1] (analytic) = 12.056125774713191872181899698269 y[1] (numeric) = 12.056125774713191872181899698274 memory used=152.5MB, alloc=4.3MB, time=7.50 absolute error = 5e-30 relative error = 4.1472692749167566258486885513554e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.206 y[1] (analytic) = 12.057797224484428373663195624142 y[1] (numeric) = 12.057797224484428373663195624147 absolute error = 5e-30 relative error = 4.1466943811652893313620205458591e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.207 y[1] (analytic) = 12.059468905983865954982236198691 y[1] (numeric) = 12.059468905983865954982236198696 absolute error = 5e-30 relative error = 4.1461195671054946936437427400692e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 44.72 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.208 y[1] (analytic) = 12.061140819243631192779115820493 y[1] (numeric) = 12.061140819243631192779115820498 absolute error = 5e-30 relative error = 4.1455448327263258667773278616221e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.209 y[1] (analytic) = 12.062812964295855117691853190235 y[1] (numeric) = 12.06281296429585511769185319024 absolute error = 5e-30 relative error = 4.1449701780167375361581239590537e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.21 y[1] (analytic) = 12.064485341172673214973889332115 y[1] (numeric) = 12.06448534117267321497388933212 absolute error = 5e-30 relative error = 4.1443956029656859182810842138006e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.211 y[1] (analytic) = 12.066157949906225425111671224582 y[1] (numeric) = 12.066157949906225425111671224587 absolute error = 5e-30 relative error = 4.1438211075621287605285261770573e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.212 y[1] (analytic) = 12.067830790528656144442321052278 y[1] (numeric) = 12.067830790528656144442321052283 absolute error = 5e-30 relative error = 4.1432466917950253409579204274130e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.213 y[1] (analytic) = 12.069503863072114225771391091058 y[1] (numeric) = 12.069503863072114225771391091063 absolute error = 5e-30 relative error = 4.1426723556533364680897086451859e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.214 y[1] (analytic) = 12.071177167568752978990704237959 y[1] (numeric) = 12.071177167568752978990704237964 absolute error = 5e-30 relative error = 4.1420980991260244806951510993806e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.215 y[1] (analytic) = 12.072850704050730171696280197985 y[1] (numeric) = 12.07285070405073017169628019799 absolute error = 5e-30 relative error = 4.1415239222020532475842035431906e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.216 y[1] (analytic) = 12.074524472550208029806347339597 y[1] (numeric) = 12.074524472550208029806347339601 absolute error = 4e-30 relative error = 3.3127598598963105339147388111743e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.217 y[1] (analytic) = 12.076198473099353238179440230766 y[1] (numeric) = 12.07619847309935323817944023077 absolute error = 4e-30 relative error = 3.3123006456959969346991248268688e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.218 y[1] (analytic) = 12.07787270573033694123258286749 y[1] (numeric) = 12.077872705730336941232582867495 absolute error = 5e-30 relative error = 4.1398018689398457081792487051185e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.219 y[1] (analytic) = 12.079547170475334743559557606637 y[1] (numeric) = 12.079547170475334743559557606642 absolute error = 5e-30 relative error = 4.1392280103189067736535462017593e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.22 y[1] (analytic) = 12.081221867366526710549259815003 y[1] (numeric) = 12.081221867366526710549259815007 absolute error = 4e-30 relative error = 3.3109233849969207044955313151288e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.221 y[1] (analytic) = 12.082896796436097369004138246468 y[1] (numeric) = 12.082896796436097369004138246473 absolute error = 5e-30 relative error = 4.1380805317105510736660423603679e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.222 y[1] (analytic) = 12.084571957716235707758721159144 y[1] (numeric) = 12.084571957716235707758721159149 absolute error = 5e-30 relative error = 4.1375069117010819259372775295147e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.223 y[1] (analytic) = 12.08624735123913517829822818438 y[1] (numeric) = 12.086247351239135178298228184384 absolute error = 4e-30 relative error = 3.3095466969653756311357881571834e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.224 y[1] (analytic) = 12.087922977036993695377267959534 y[1] (numeric) = 12.087922977036993695377267959538 absolute error = 4e-30 relative error = 3.3090879281731532337847529297258e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.225 y[1] (analytic) = 12.089598835142013637638621536397 y[1] (numeric) = 12.089598835142013637638621536401 absolute error = 4e-30 relative error = 3.3086292229753816747260017920325e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.226 y[1] (analytic) = 12.091274925586401848232111577152 y[1] (numeric) = 12.091274925586401848232111577155 absolute error = 3e-30 relative error = 2.4811279360224341266159838260685e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.227 y[1] (analytic) = 12.092951248402369635433557349768 y[1] (numeric) = 12.092951248402369635433557349772 absolute error = 4e-30 relative error = 3.3077120033279304862622017059320e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.228 y[1] (analytic) = 12.094627803622132773263815534732 y[1] (numeric) = 12.094627803622132773263815534736 absolute error = 4e-30 relative error = 3.3072534888606236190672060129457e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.229 y[1] (analytic) = 12.096304591277911502107906854996 y[1] (numeric) = 12.096304591277911502107906855 absolute error = 4e-30 relative error = 3.3067950379525131142458385390937e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.23 y[1] (analytic) = 12.097981611401930529334228541056 y[1] (numeric) = 12.097981611401930529334228541061 absolute error = 5e-30 relative error = 4.1329208132434855087032249225968e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.231 y[1] (analytic) = 12.099658864026419029913852643059 y[1] (numeric) = 12.099658864026419029913852643064 absolute error = 5e-30 relative error = 4.1323479084733001921261106290228e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.232 y[1] (analytic) = 12.101336349183610647039910201827 y[1] (numeric) = 12.101336349183610647039910201831 absolute error = 4e-30 relative error = 3.3054200664952602320939011414610e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.233 y[1] (analytic) = 12.103014066905743492747061290719 y[1] (numeric) = 12.103014066905743492747061290723 absolute error = 4e-30 relative error = 3.3049618697358417407551578155777e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.234 y[1] (analytic) = 12.10469201722506014853105094023 y[1] (numeric) = 12.104692017225060148531050940234 absolute error = 4e-30 relative error = 3.3045037364915789991093494513194e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.235 y[1] (analytic) = 12.106370200173807665968350957226 y[1] (numeric) = 12.10637020017380766596835095723 absolute error = 4e-30 relative error = 3.3040456667536675472230893062655e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=156.4MB, alloc=4.3MB, time=7.69 x[1] = 2.236 y[1] (analytic) = 12.108048615784237567335887650731 y[1] (numeric) = 12.108048615784237567335887650736 absolute error = 5e-30 relative error = 4.1294845756416301820446347463957e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.237 y[1] (analytic) = 12.10972726408860584623085547618 y[1] (numeric) = 12.109727264088605846230855476184 absolute error = 4e-30 relative error = 3.3031297177616867751900707821770e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.238 y[1] (analytic) = 12.111406145119172968190616610032 y[1] (numeric) = 12.111406145119172968190616610036 absolute error = 4e-30 relative error = 3.3026718384900146368634212957822e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.239 y[1] (analytic) = 12.113085258908203871312686466686 y[1] (numeric) = 12.113085258908203871312686466689 absolute error = 3e-30 relative error = 2.4766605170171161136986835485572e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.24 y[1] (analytic) = 12.114764605487967966874805169577 y[1] (numeric) = 12.114764605487967966874805169581 absolute error = 4e-30 relative error = 3.3017562703513089601331574702354e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.241 y[1] (analytic) = 12.116444184890739139955094988411 y[1] (numeric) = 12.116444184890739139955094988414 absolute error = 3e-30 relative error = 2.4759739361000099421253642139053e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.242 y[1] (analytic) = 12.118123997148795750052303754411 y[1] (numeric) = 12.118123997148795750052303754415 absolute error = 4e-30 relative error = 3.3008409560268051195238671840620e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.243 y[1] (analytic) = 12.119804042294420631706134265543 y[1] (numeric) = 12.119804042294420631706134265546 absolute error = 3e-30 relative error = 2.4752875455171673869869082660230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.244 y[1] (analytic) = 12.121484320359901095117659693596 y[1] (numeric) = 12.121484320359901095117659693599 absolute error = 3e-30 relative error = 2.4749444215846054728317594072402e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.245 y[1] (analytic) = 12.123164831377528926769825005081 y[1] (numeric) = 12.123164831377528926769825005084 absolute error = 3e-30 relative error = 2.4746013452158239000650196448401e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.246 y[1] (analytic) = 12.12484557537960039004803440784 y[1] (numeric) = 12.124845575379600390048034407843 absolute error = 3e-30 relative error = 2.4742583164042293856607210104185e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.247 y[1] (analytic) = 12.126526552398416225860824835315 y[1] (numeric) = 12.126526552398416225860824835319 absolute error = 4e-30 relative error = 3.2985537801909727474035349676849e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.248 y[1] (analytic) = 12.128207762466281653260625480397 y[1] (numeric) = 12.1282077624662816532606254804 absolute error = 3e-30 relative error = 2.4735724014262329695076607591839e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.249 y[1] (analytic) = 12.129889205615506370064603390774 y[1] (numeric) = 12.129889205615506370064603390777 absolute error = 3e-30 relative error = 2.4732295152466490709989874439911e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.25 y[1] (analytic) = 12.131570881878404553475595137735 y[1] (numeric) = 12.131570881878404553475595137738 absolute error = 3e-30 relative error = 2.4728866765978882370795986567013e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.251 y[1] (analytic) = 12.133252791287294860703124570336 y[1] (numeric) = 12.133252791287294860703124570339 absolute error = 3e-30 relative error = 2.4725438854733617532555510525223e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.252 y[1] (analytic) = 12.134934933874500429584506666878 y[1] (numeric) = 12.134934933874500429584506666881 absolute error = 3e-30 relative error = 2.4722011418664818183593678556925e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.253 y[1] (analytic) = 12.136617309672348879206037495636 y[1] (numeric) = 12.136617309672348879206037495638 absolute error = 2e-30 relative error = 1.6479056305137743629489558014914e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.254 y[1] (analytic) = 12.138299918713172310524270296759 y[1] (numeric) = 12.138299918713172310524270296762 absolute error = 3e-30 relative error = 2.4715157971793149565534070327117e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.255 y[1] (analytic) = 12.139982761029307306987377697309 y[1] (numeric) = 12.139982761029307306987377697312 absolute error = 3e-30 relative error = 2.4711731960858569928016500324944e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.256 y[1] (analytic) = 12.141665836653094935156600071349 y[1] (numeric) = 12.141665836653094935156600071352 absolute error = 3e-30 relative error = 2.4708306424837035040406761172014e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.257 y[1] (analytic) = 12.143349145616880745327780057048 y[1] (numeric) = 12.143349145616880745327780057051 absolute error = 3e-30 relative error = 2.4704881363662712538366149607886e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.258 y[1] (analytic) = 12.145032687953014772152983242737 y[1] (numeric) = 12.14503268795301477215298324274 absolute error = 3e-30 relative error = 2.4701456777269779183226950639091e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.259 y[1] (analytic) = 12.14671646369385153526220503386 y[1] (numeric) = 12.146716463693851535262205033863 absolute error = 3e-30 relative error = 2.4698032665592420860727438600957e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.26 y[1] (analytic) = 12.148400472871750039885163712776 y[1] (numeric) = 12.148400472871750039885163712779 absolute error = 3e-30 relative error = 2.4694609028564832579747053573367e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.261 y[1] (analytic) = 12.150084715519073777473179703355 y[1] (numeric) = 12.150084715519073777473179703358 absolute error = 3e-30 relative error = 2.4691185866121218471041753126145e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.262 y[1] (analytic) = 12.151769191668190726321141052322 y[1] (numeric) = 12.151769191668190726321141052325 absolute error = 3e-30 relative error = 2.4687763178195791785979539369763e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.263 y[1] (analytic) = 12.1534539013514733521895551393 y[1] (numeric) = 12.153453901351473352189555139303 absolute error = 3e-30 relative error = 2.4684340964722774895276161287076e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.264 y[1] (analytic) = 12.155138844601298608926686627515 y[1] (numeric) = 12.155138844601298608926686627518 absolute error = 3e-30 relative error = 2.4680919225636399287730992321767e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.265 y[1] (analytic) = 12.156824021450047939090781667103 y[1] (numeric) = 12.156824021450047939090781667106 absolute error = 3e-30 relative error = 2.4677497960870905568963083199245e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.266 y[1] (analytic) = 12.158509431930107274572378362996 y[1] (numeric) = 12.158509431930107274572378362999 absolute error = 3e-30 relative error = 2.4674077170360543460147389955659e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=160.2MB, alloc=4.3MB, time=7.88 TOP MAIN SOLVE Loop x[1] = 2.267 y[1] (analytic) = 12.16019507607386703721670351933 y[1] (numeric) = 12.160195076073867037216703519333 absolute error = 3e-30 relative error = 2.4670656854039571796751177150784e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.268 y[1] (analytic) = 12.161880953913722139446155672348 y[1] (numeric) = 12.161880953913722139446155672351 absolute error = 3e-30 relative error = 2.4667237011842258527270596240467e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.269 y[1] (analytic) = 12.163567065482071984882874423755 y[1] (numeric) = 12.163567065482071984882874423758 absolute error = 3e-30 relative error = 2.4663817643702880711967439084357e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.27 y[1] (analytic) = 12.165253410811320468971396086493 y[1] (numeric) = 12.165253410811320468971396086496 absolute error = 3e-30 relative error = 2.4660398749555724521606066564657e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.271 y[1] (analytic) = 12.166939989933875979601395654898 y[1] (numeric) = 12.1669399899338759796013956549 absolute error = 2e-30 relative error = 1.6437986886223390157460341527732e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.272 y[1] (analytic) = 12.168626802882151397730515111207 y[1] (numeric) = 12.16862680288215139773051511121 absolute error = 3e-30 relative error = 2.4653562382975267243701761371404e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.273 y[1] (analytic) = 12.170313849688564098007278080399 y[1] (numeric) = 12.170313849688564098007278080402 absolute error = 3e-30 relative error = 2.4650144910410584038835204212419e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.274 y[1] (analytic) = 12.172001130385535949394090845312 y[1] (numeric) = 12.172001130385535949394090845315 absolute error = 3e-30 relative error = 2.4646727911575358221738265345209e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.275 y[1] (analytic) = 12.173688645005493315790329734039 y[1] (numeric) = 12.173688645005493315790329734042 absolute error = 3e-30 relative error = 2.4643311386403921496748207232314e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.276 y[1] (analytic) = 12.17537639358086705665551489156 y[1] (numeric) = 12.175376393580867056655514891563 absolute error = 3e-30 relative error = 2.4639895334830614671130109043426e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.277 y[1] (analytic) = 12.177064376144092527632570447593 y[1] (numeric) = 12.177064376144092527632570447595 absolute error = 2e-30 relative error = 1.6424319837859858435876680247820e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.278 y[1] (analytic) = 12.178752592727609581171171092633 y[1] (numeric) = 12.178752592727609581171171092635 absolute error = 2e-30 relative error = 1.6422043101477199636092193244776e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.279 y[1] (analytic) = 12.180441043363862567151175074177 y[1] (numeric) = 12.18044104336386256715117507418 absolute error = 3e-30 relative error = 2.4629650021043018180578068762342e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.28 y[1] (analytic) = 12.182129728085300333506143625097 y[1] (numeric) = 12.1821297280853003335061436251 absolute error = 3e-30 relative error = 2.4626235863205821039493989266890e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.281 y[1] (analytic) = 12.18381864692437622684694683615 y[1] (numeric) = 12.183818646924376226846946836153 absolute error = 3e-30 relative error = 2.4622822178638594333866017805994e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.282 y[1] (analytic) = 12.185507799913548093085455984616 y[1] (numeric) = 12.185507799913548093085455984619 absolute error = 3e-30 relative error = 2.4619408967275733462033483078863e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.283 y[1] (analytic) = 12.187197187085278278058322331042 y[1] (numeric) = 12.187197187085278278058322331045 absolute error = 3e-30 relative error = 2.4615996229051642916434278912929e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.284 y[1] (analytic) = 12.188886808472033628150842396084 y[1] (numeric) = 12.188886808472033628150842396088 absolute error = 4e-30 relative error = 3.2816778618534315043125655852683e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.285 y[1] (analytic) = 12.19057666410628549092090972944 y[1] (numeric) = 12.190576664106285490920909729444 absolute error = 4e-30 relative error = 3.2812229562343248315488938289000e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.286 y[1] (analytic) = 12.192266754020509715723053182849 y[1] (numeric) = 12.192266754020509715723053182853 absolute error = 4e-30 relative error = 3.2807681136741566061896291100752e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.287 y[1] (analytic) = 12.193957078247186654332561699172 y[1] (numeric) = 12.193957078247186654332561699177 absolute error = 5e-30 relative error = 4.1003916677052320113314106107388e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.288 y[1] (analytic) = 12.195647636818801161569695629536 y[1] (numeric) = 12.195647636818801161569695629541 absolute error = 5e-30 relative error = 4.0998232721195897908900530281260e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.289 y[1] (analytic) = 12.197338429767842595923984590535 y[1] (numeric) = 12.197338429767842595923984590539 absolute error = 4e-30 relative error = 3.2794039642598764812053482507480e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.29 y[1] (analytic) = 12.19902945712680482017861187349 y[1] (numeric) = 12.199029457126804820178611873494 absolute error = 4e-30 relative error = 3.2789493738480619699904069592907e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.291 y[1] (analytic) = 12.200720718928186202034885417776 y[1] (numeric) = 12.20072071892818620203488541778 absolute error = 4e-30 relative error = 3.2784948464514919257150432274850e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.292 y[1] (analytic) = 12.202412215204489614736795360198 y[1] (numeric) = 12.202412215204489614736795360202 absolute error = 4e-30 relative error = 3.2780403820614311860616487515071e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.293 y[1] (analytic) = 12.204103945988222437695658172435 y[1] (numeric) = 12.20410394598822243769565817244 absolute error = 5e-30 relative error = 4.0969824758364322494741360519771e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.294 y[1] (analytic) = 12.205795911311896557114847398556 y[1] (numeric) = 12.205795911311896557114847398561 absolute error = 5e-30 relative error = 4.0964145528323787818949403622391e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.295 y[1] (analytic) = 12.207488111208028366614611004596 y[1] (numeric) = 12.2074881112080283666146110046 absolute error = 4e-30 relative error = 3.2766773668429713336505245052459e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.296 y[1] (analytic) = 12.209180545709138767856975352222 y[1] (numeric) = 12.209180545709138767856975352227 absolute error = 5e-30 relative error = 4.0952789429895255051564798917258e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=164.0MB, alloc=4.3MB, time=8.07 x[1] = 2.297 y[1] (analytic) = 12.210873214847753171170735808496 y[1] (numeric) = 12.210873214847753171170735808501 absolute error = 5e-30 relative error = 4.0947112561289014090969020201981e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.298 y[1] (analytic) = 12.212566118656401496176534003722 y[1] (numeric) = 12.212566118656401496176534003727 absolute error = 5e-30 relative error = 4.0941436479609320043410053874485e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.299 y[1] (analytic) = 12.214259257167618172412021749423 y[1] (numeric) = 12.214259257167618172412021749428 absolute error = 5e-30 relative error = 4.0935761184747089286703005724004e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.3 y[1] (analytic) = 12.215952630413942139957111628439 y[1] (numeric) = 12.215952630413942139957111628444 absolute error = 5e-30 relative error = 4.0930086676593253319815871418997e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.301 y[1] (analytic) = 12.217646238427916850059314269174 y[1] (numeric) = 12.217646238427916850059314269179 absolute error = 5e-30 relative error = 4.0924412955038758760773444902013e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.302 y[1] (analytic) = 12.219340081242090265759162316004 y[1] (numeric) = 12.219340081242090265759162316009 absolute error = 5e-30 relative error = 4.0918740019974567344561517344413e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.303 y[1] (analytic) = 12.221034158889014862515721107867 y[1] (numeric) = 12.221034158889014862515721107872 absolute error = 5e-30 relative error = 4.0913067871291655921031366620683e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.304 y[1] (analytic) = 12.222728471401247628832186077057 y[1] (numeric) = 12.222728471401247628832186077062 absolute error = 5e-30 relative error = 4.0907396508881016452804537262042e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.305 y[1] (analytic) = 12.224423018811350066881566880244 y[1] (numeric) = 12.22442301881135006688156688025 absolute error = 6e-30 relative error = 4.9082071119160387215813493018917e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.306 y[1] (analytic) = 12.226117801151888193132458273749 y[1] (numeric) = 12.226117801151888193132458273754 absolute error = 5e-30 relative error = 4.0896056142440596784029066803269e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.307 y[1] (analytic) = 12.227812818455432538974897745086 y[1] (numeric) = 12.227812818455432538974897745091 absolute error = 5e-30 relative error = 4.0890387138192876053721933536766e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.308 y[1] (analytic) = 12.229508070754558151346309912819 y[1] (numeric) = 12.229508070754558151346309912824 absolute error = 5e-30 relative error = 4.0884718919781546215012729920815e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.309 y[1] (analytic) = 12.23120355808184459335753770675 y[1] (numeric) = 12.231203558081844593357537706755 absolute error = 5e-30 relative error = 4.0879051487097674762956197031920e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.31 y[1] (analytic) = 12.232899280469875944918960340467 y[1] (numeric) = 12.232899280469875944918960340473 absolute error = 6e-30 relative error = 4.9048061808038813151374544163131e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.311 y[1] (analytic) = 12.234595237951240803366698088301 y[1] (numeric) = 12.234595237951240803366698088306 absolute error = 5e-30 relative error = 4.0867718978476652497952140869707e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.312 y[1] (analytic) = 12.2362914305585322840889038787 y[1] (numeric) = 12.236291430558532284088903878706 absolute error = 6e-30 relative error = 4.9034464682786054601320231495982e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.313 y[1] (analytic) = 12.237987858324348021152141716092 y[1] (numeric) = 12.237987858324348021152141716098 absolute error = 6e-30 relative error = 4.9027667533750381422687873335442e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.314 y[1] (analytic) = 12.239684521281290167927851943235 y[1] (numeric) = 12.239684521281290167927851943241 absolute error = 6e-30 relative error = 4.9020871326934335031826676816117e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.315 y[1] (analytic) = 12.241381419461965397718903356127 y[1] (numeric) = 12.241381419461965397718903356132 absolute error = 5e-30 relative error = 4.0845063385172754255506859762030e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.316 y[1] (analytic) = 12.243078552898984904386232183492 y[1] (numeric) = 12.243078552898984904386232183498 absolute error = 6e-30 relative error = 4.9007281739438699430084450408558e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.317 y[1] (analytic) = 12.24477592162496440297556794291 y[1] (numeric) = 12.244775921624964402975567942917 absolute error = 7e-30 relative error = 5.7167236418247601202640802722784e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 1.699e+16 Order of pole = 4.328e+29 TOP MAIN SOLVE Loop x[1] = 2.318 y[1] (analytic) = 12.246473525672524130344246185609 y[1] (numeric) = 12.246473525672524130344246185615 absolute error = 6e-30 relative error = 4.8993695919254482466172067766075e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.319 y[1] (analytic) = 12.24817136507428884578810814198 y[1] (numeric) = 12.248171365074288845788108141986 absolute error = 6e-30 relative error = 4.8986904421577777248203010884762e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.32 y[1] (analytic) = 12.249869439862887831668487279867 y[1] (numeric) = 12.249869439862887831668487279873 absolute error = 6e-30 relative error = 4.8980113865337308412749972067268e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.321 y[1] (analytic) = 12.251567750070954894039282787669 y[1] (numeric) = 12.251567750070954894039282787675 absolute error = 6e-30 relative error = 4.8973324250402574231127379366623e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.322 y[1] (analytic) = 12.253266295731128363274119994314 y[1] (numeric) = 12.253266295731128363274119994321 absolute error = 7e-30 relative error = 5.7127624839416939575572908978184e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.323 y[1] (analytic) = 12.254965076876051094693597738155 y[1] (numeric) = 12.254965076876051094693597738162 absolute error = 7e-30 relative error = 5.7119705817916458923219049947158e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.324 y[1] (analytic) = 12.256664093538370469192622696839 y[1] (numeric) = 12.256664093538370469192622696845 absolute error = 6e-30 relative error = 4.8952961052128033659247778627583e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.325 y[1] (analytic) = 12.258363345750738393867830690211 y[1] (numeric) = 12.258363345750738393867830690218 absolute error = 7e-30 relative error = 5.7103871067963512999524439094318e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.326 y[1] (analytic) = 12.260062833545811302645094968316 y[1] (numeric) = 12.260062833545811302645094968323 absolute error = 7e-30 relative error = 5.7095955339206733594114966440752e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.327 y[1] (analytic) = 12.261762556956250156907121496536 y[1] (numeric) = 12.261762556956250156907121496543 absolute error = 7e-30 relative error = 5.7088040707726908956441547650526e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=167.8MB, alloc=4.3MB, time=8.26 TOP MAIN SOLVE Loop x[1] = 2.328 y[1] (analytic) = 12.26346251601472044612113124995 y[1] (numeric) = 12.263462516014720446121131249958 absolute error = 8e-30 relative error = 6.5234431055282211136364847109115e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.329 y[1] (analytic) = 12.265162710753892188466629528969 y[1] (numeric) = 12.265162710753892188466629528977 absolute error = 8e-30 relative error = 6.5225388269702545943132320771687e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.33 y[1] (analytic) = 12.2668631412064399314632623083 y[1] (numeric) = 12.266863141206439931463262308307 absolute error = 7e-30 relative error = 5.7064303395428225648453820185095e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.331 y[1] (analytic) = 12.26856380740504275259875963132 y[1] (numeric) = 12.268563807405042752598759631327 absolute error = 7e-30 relative error = 5.7056393151535387492038585335694e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.332 y[1] (analytic) = 12.270264709382384259956966061931 y[1] (numeric) = 12.270264709382384259956966061938 absolute error = 7e-30 relative error = 5.7048484004159193209985928993031e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.333 y[1] (analytic) = 12.271965847171152592845958205942 y[1] (numeric) = 12.27196584717115259284595820595 absolute error = 8e-30 relative error = 6.5189229660740164404886619666377e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.334 y[1] (analytic) = 12.27366722080404042242624931408 y[1] (numeric) = 12.273667220804040422426249314088 absolute error = 8e-30 relative error = 6.5180193140970013196521222976598e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.335 y[1] (analytic) = 12.275368830313744952339080978673 y[1] (numeric) = 12.275368830313744952339080978681 absolute error = 8e-30 relative error = 6.5171157873840673688253580221338e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.336 y[1] (analytic) = 12.277070675732967919334801936108 y[1] (numeric) = 12.277070675732967919334801936116 absolute error = 8e-30 relative error = 6.5162123859178505026851714926042e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.337 y[1] (analytic) = 12.278772757094415593901333987116 y[1] (numeric) = 12.278772757094415593901333987124 absolute error = 8e-30 relative error = 6.5153091096809890429148771843799e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.338 y[1] (analytic) = 12.28047507443079878089272504698 y[1] (numeric) = 12.280475074430798780892725046987 absolute error = 7e-30 relative error = 5.7001052138241082531368125095352e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.339 y[1] (analytic) = 12.282177627774832820157789337729 y[1] (numeric) = 12.282177627774832820157789337736 absolute error = 7e-30 relative error = 5.6993150662226604544668924044665e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.34 y[1] (analytic) = 12.28388041715923758716883473442 y[1] (numeric) = 12.283880417159237587168834734428 absolute error = 8e-30 relative error = 6.5126000321729564167476625604410e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.341 y[1] (analytic) = 12.285583442616737493650477277571 y[1] (numeric) = 12.285583442616737493650477277578 absolute error = 7e-30 relative error = 5.6977350995949544367753320468888e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.342 y[1] (analytic) = 12.287286704180061488208542863836 y[1] (numeric) = 12.287286704180061488208542863843 absolute error = 7e-30 relative error = 5.6969452805383322285782022372482e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.343 y[1] (analytic) = 12.288990201881943056959056127019 y[1] (numeric) = 12.288990201881943056959056127026 absolute error = 7e-30 relative error = 5.6961555709662914021903394295804e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.344 y[1] (analytic) = 12.290693935755120224157316521498 y[1] (numeric) = 12.290693935755120224157316521506 absolute error = 8e-30 relative error = 6.5089896809870345415167488116964e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.345 y[1] (analytic) = 12.292397905832335552827061620164 y[1] (numeric) = 12.292397905832335552827061620172 absolute error = 8e-30 relative error = 6.5080874059602846440003203814786e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.346 y[1] (analytic) = 12.294102112146336145389717638951 y[1] (numeric) = 12.294102112146336145389717638959 absolute error = 8e-30 relative error = 6.5071852560067433082582135475334e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.347 y[1] (analytic) = 12.295806554729873644293737200063 y[1] (numeric) = 12.295806554729873644293737200071 absolute error = 8e-30 relative error = 6.5062832311090729076952579207173e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 2.348 y[1] (analytic) = 12.297511233615704232644024345989 y[1] (numeric) = 12.297511233615704232644024345997 absolute error = 8e-30 relative error = 6.5053813312499382190550909197549e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.349 y[1] (analytic) = 12.2992161488365886348314468164 y[1] (numeric) = 12.299216148836588634831446816408 absolute error = 8e-30 relative error = 6.5044795564120064220870073602864e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.35 y[1] (analytic) = 12.300921300425292117162435600023 y[1] (numeric) = 12.300921300425292117162435600031 absolute error = 8e-30 relative error = 6.5035779065779470992128552251700e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.351 y[1] (analytic) = 12.302626688414584488488671773604 y[1] (numeric) = 12.302626688414584488488671773612 absolute error = 8e-30 relative error = 6.5026763817304322351939776096310e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.352 y[1] (analytic) = 12.304332312837240100836860640047 y[1] (numeric) = 12.304332312837240100836860640054 absolute error = 7e-30 relative error = 5.6890531091206191896984257305058e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.353 y[1] (analytic) = 12.306038173726037850038593177839 y[1] (numeric) = 12.306038173726037850038593177847 absolute error = 8e-30 relative error = 6.5008737069257358324668687236850e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.354 y[1] (analytic) = 12.307744271113761176360294813872 y[1] (numeric) = 12.30774427111376117636029481388 absolute error = 8e-30 relative error = 6.4999725569339102719819230318331e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.355 y[1] (analytic) = 12.309450605033198065133261531752 y[1] (numeric) = 12.309450605033198065133261531759 absolute error = 7e-30 relative error = 5.6866875903769234853664012749612e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.356 y[1] (analytic) = 12.311157175517141047383783327716 y[1] (numeric) = 12.311157175517141047383783327723 absolute error = 7e-30 relative error = 5.6858993027241233380866590673941e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.357 y[1] (analytic) = 12.31286398259838720046335502627 y[1] (numeric) = 12.312863982598387200463355026277 absolute error = 7e-30 relative error = 5.6851111243436216389758006826673e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.358 y[1] (analytic) = 12.314571026309738148678974467645 y[1] (numeric) = 12.314571026309738148678974467652 absolute error = 7e-30 relative error = 5.6843230552202710808728792241579e-29 % Correct digits = 30 h = 0.001 memory used=171.6MB, alloc=4.3MB, time=8.45 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.359 y[1] (analytic) = 12.316278306684000063923528079193 y[1] (numeric) = 12.3162783066840000639235280792 absolute error = 7e-30 relative error = 5.6835350953389264563340534705104e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.36 y[1] (analytic) = 12.317985823753983666306263842842 y[1] (numeric) = 12.317985823753983666306263842849 absolute error = 7e-30 relative error = 5.6827472446844446573415254526573e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.361 y[1] (analytic) = 12.319693577552504224783351670717 y[1] (numeric) = 12.319693577552504224783351670724 absolute error = 7e-30 relative error = 5.6819595032416846750125183778643e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.362 y[1] (analytic) = 12.321401568112381557788531201052 y[1] (numeric) = 12.321401568112381557788531201059 absolute error = 7e-30 relative error = 5.6811718709955075993082948952034e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.363 y[1] (analytic) = 12.323109795466440033863847026508 y[1] (numeric) = 12.323109795466440033863847026516 absolute error = 8e-30 relative error = 6.4918678262066018499922465107047e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.364 y[1] (analytic) = 12.324818259647508572290471367026 y[1] (numeric) = 12.324818259647508572290471367034 absolute error = 8e-30 relative error = 6.4909679246084080229643867996832e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.365 y[1] (analytic) = 12.326526960688420643719614199326 y[1] (numeric) = 12.326526960688420643719614199334 absolute error = 8e-30 relative error = 6.4900681477544185006949223446101e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.366 y[1] (analytic) = 12.32823589862201427080352085519 y[1] (numeric) = 12.328235898622014270803520855198 absolute error = 8e-30 relative error = 6.4891684956273412631020356642686e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.367 y[1] (analytic) = 12.329945073481132028826557100649 y[1] (numeric) = 12.329945073481132028826557100657 absolute error = 8e-30 relative error = 6.4882689682098866871207500716480e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.368 y[1] (analytic) = 12.331654485298621046336381708202 y[1] (numeric) = 12.33165448529862104633638170821 absolute error = 8e-30 relative error = 6.4873695654847675463706556129691e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.369 y[1] (analytic) = 12.333364134107333005775206534197 y[1] (numeric) = 12.333364134107333005775206534205 absolute error = 8e-30 relative error = 6.4864702874346990108236810664820e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.37 y[1] (analytic) = 12.33507401994012414411114411351 y[1] (numeric) = 12.335074019940124144111144113517 absolute error = 7e-30 relative error = 5.6748747422870988156629229953200e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.371 y[1] (analytic) = 12.336784142829855253469642783645 y[1] (numeric) = 12.336784142829855253469642783653 absolute error = 8e-30 relative error = 6.4846721052905864149954548433496e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.372 y[1] (analytic) = 12.33849450280939168176500935041 y[1] (numeric) = 12.338494502809391681765009350418 absolute error = 8e-30 relative error = 6.4837732011619846734303470816629e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.373 y[1] (analytic) = 12.340205099911603333332019307276 y[1] (numeric) = 12.340205099911603333332019307284 absolute error = 8e-30 relative error = 6.4828744216393181738365133759478e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.374 y[1] (analytic) = 12.341915934169364669557614620588 y[1] (numeric) = 12.341915934169364669557614620596 absolute error = 8e-30 relative error = 6.4819757667053140629657677917362e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.375 y[1] (analytic) = 12.343627005615554709512689092747 y[1] (numeric) = 12.343627005615554709512689092755 absolute error = 8e-30 relative error = 6.4810772363427018819298620171220e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.376 y[1] (analytic) = 12.345338314283057030583961315511 y[1] (numeric) = 12.34533831428305703058396131552 absolute error = 9e-30 relative error = 7.2902011843509902616021520514029e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.377 y[1] (analytic) = 12.347049860204759769105935225568 y[1] (numeric) = 12.347049860204759769105935225577 absolute error = 9e-30 relative error = 7.2891906179204063740701107266883e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.378 y[1] (analytic) = 12.348761643413555620992948274504 y[1] (numeric) = 12.348761643413555620992948274512 absolute error = 8e-30 relative error = 6.4783823925105482373780658330690e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.379 y[1] (analytic) = 12.350473663942341842371307225333 y[1] (numeric) = 12.350473663942341842371307225342 absolute error = 9e-30 relative error = 7.2871699052934529451798097537495e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.38 y[1] (analytic) = 12.352185921824020250211511587738 y[1] (numeric) = 12.352185921824020250211511587747 absolute error = 9e-30 relative error = 7.2861597590582491048840629403347e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.381 y[1] (analytic) = 12.35389841709149722296056470415 y[1] (numeric) = 12.353898417091497222960564704159 absolute error = 9e-30 relative error = 7.2851497528493421340039209497716e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.382 y[1] (analytic) = 12.355611149777683701174372498845 y[1] (numeric) = 12.355611149777683701174372498853 absolute error = 8e-30 relative error = 6.4747910103531747657088709050898e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.383 y[1] (analytic) = 12.357324119915495188150229902192 y[1] (numeric) = 12.3573241199154951881502299022 absolute error = 8e-30 relative error = 6.4738934759402487170596108680345e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.384 y[1] (analytic) = 12.359037327537851750559394962224 y[1] (numeric) = 12.359037327537851750559394962232 absolute error = 8e-30 relative error = 6.4729960659433881596988781299109e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.385 y[1] (analytic) = 12.360750772677678019079750655671 y[1] (numeric) = 12.360750772677678019079750655678 absolute error = 7e-30 relative error = 5.6630864328021782400792514235834e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.386 y[1] (analytic) = 12.362464455367903189028554410627 y[1] (numeric) = 12.362464455367903189028554410634 absolute error = 7e-30 relative error = 5.6623014167377698034838372227136e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.387 y[1] (analytic) = 12.364178375641461020995275353008 y[1] (numeric) = 12.364178375641461020995275353015 absolute error = 7e-30 relative error = 5.6615165094921527965613449945538e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.388 y[1] (analytic) = 12.36589253353128984147451928896 y[1] (numeric) = 12.365892533531289841474519288968 absolute error = 8e-30 relative error = 6.4694076697717060311034284053958e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop memory used=175.4MB, alloc=4.3MB, time=8.64 x[1] = 2.389 y[1] (analytic) = 12.367606929070332543499041435385 y[1] (numeric) = 12.367606929070332543499041435392 absolute error = 7e-30 relative error = 5.6599470213969573943527881737574e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.39 y[1] (analytic) = 12.369321562291536587272846910739 y[1] (numeric) = 12.369321562291536587272846910746 absolute error = 7e-30 relative error = 5.6591624405172163875926031350720e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.391 y[1] (analytic) = 12.371036433227854000804378998294 y[1] (numeric) = 12.3710364332278540008043789983 absolute error = 6e-30 relative error = 4.8500382586250927888377975478178e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.392 y[1] (analytic) = 12.372751541912241380539795193998 y[1] (numeric) = 12.372751541912241380539795194004 absolute error = 6e-30 relative error = 4.8493659471583344965854923270797e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.393 y[1] (analytic) = 12.37446688837765989199633105114 y[1] (numeric) = 12.374466888377659891996331051145 absolute error = 5e-30 relative error = 4.0405781074060631248063740000192e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.394 y[1] (analytic) = 12.376182472657075270395751833956 y[1] (numeric) = 12.376182472657075270395751833962 absolute error = 6e-30 relative error = 4.8480216037989977765899351285402e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.395 y[1] (analytic) = 12.377898294783457821297891992385 y[1] (numeric) = 12.377898294783457821297891992391 absolute error = 6e-30 relative error = 4.8473495718805835960559370614806e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.396 y[1] (analytic) = 12.379614354789782421234282470119 y[1] (numeric) = 12.379614354789782421234282470125 absolute error = 6e-30 relative error = 4.8466776331191180177189178362368e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.397 y[1] (analytic) = 12.381330652709028518341865858146 y[1] (numeric) = 12.381330652709028518341865858152 absolute error = 6e-30 relative error = 4.8460057875016876414336124913281e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.398 y[1] (analytic) = 12.383047188574180132996799405954 y[1] (numeric) = 12.383047188574180132996799405961 absolute error = 7e-30 relative error = 5.6528897075179443332927326827501e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.399 y[1] (analytic) = 12.384763962418225858448345902586 y[1] (numeric) = 12.384763962418225858448345902593 absolute error = 7e-30 relative error = 5.6521061049218358185313575359957e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.4 y[1] (analytic) = 12.38648097427415886145285243971 y[1] (numeric) = 12.386480974274158861452852439716 absolute error = 6e-30 relative error = 4.8439908093845005727460510412406e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.401 y[1] (analytic) = 12.388198224174976882907817068906 y[1] (numeric) = 12.388198224174976882907817068912 absolute error = 6e-30 relative error = 4.8433193362141128005591151811541e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.402 y[1] (analytic) = 12.389915712153682238486043365356 y[1] (numeric) = 12.389915712153682238486043365362 absolute error = 6e-30 relative error = 4.8426479561232200755348545203402e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.403 y[1] (analytic) = 12.391633438243281819269882910105 y[1] (numeric) = 12.391633438243281819269882910111 absolute error = 6e-30 relative error = 4.8419766690989197341264418833779e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.404 y[1] (analytic) = 12.393351402476787092385565703104 y[1] (numeric) = 12.393351402476787092385565703109 absolute error = 5e-30 relative error = 4.0344212292735924177933709928743e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.405 y[1] (analytic) = 12.395069604887214101637618519207 y[1] (numeric) = 12.395069604887214101637618519213 absolute error = 6e-30 relative error = 4.8406343741984944905468968912550e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.406 y[1] (analytic) = 12.396788045507583468143371219337 y[1] (numeric) = 12.396788045507583468143371219343 absolute error = 6e-30 relative error = 4.8399633662965732031153977520211e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.407 y[1] (analytic) = 12.398506724370920390967551028985 y[1] (numeric) = 12.398506724370920390967551028991 absolute error = 6e-30 relative error = 4.8392924514096515282832550258368e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.408 y[1] (analytic) = 12.400225641510254647756964796267 y[1] (numeric) = 12.400225641510254647756964796273 absolute error = 6e-30 relative error = 4.8386216295248357428496549665562e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.409 y[1] (analytic) = 12.401944796958620595375269241719 y[1] (numeric) = 12.401944796958620595375269241725 absolute error = 6e-30 relative error = 4.8379509006292339109394697025023e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.41 y[1] (analytic) = 12.40366419074905717053782921203 y[1] (numeric) = 12.403664190749057170537829212036 absolute error = 6e-30 relative error = 4.8372802647099558837554984582142e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.411 y[1] (analytic) = 12.405383822914607890446663949925 y[1] (numeric) = 12.405383822914607890446663949931 absolute error = 6e-30 relative error = 4.8366097217541132993307431204698e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.412 y[1] (analytic) = 12.407103693488320853425481392385 y[1] (numeric) = 12.407103693488320853425481392392 absolute error = 7e-30 relative error = 5.6419291503736228459941711678016e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.413 y[1] (analytic) = 12.408823802503248739554800509424 y[1] (numeric) = 12.408823802503248739554800509431 absolute error = 7e-30 relative error = 5.6411470671280549341484272560943e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.414 y[1] (analytic) = 12.410544149992448811307161695612 y[1] (numeric) = 12.410544149992448811307161695619 absolute error = 7e-30 relative error = 5.6403650922947316102258429866247e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.415 y[1] (analytic) = 12.412264735988982914182425226568 y[1] (numeric) = 12.412264735988982914182425226575 absolute error = 7e-30 relative error = 5.6395832258586247875832157601670e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.416 y[1] (analytic) = 12.413985560525917477343157792622 y[1] (numeric) = 12.413985560525917477343157792629 absolute error = 7e-30 relative error = 5.6388014678047084627681210490964e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.417 y[1] (analytic) = 12.415706623636323514250107121859 y[1] (numeric) = 12.415706623636323514250107121865 absolute error = 6e-30 relative error = 4.8325884155296788987686921580788e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.418 y[1] (analytic) = 12.417427925353276623297764704754 y[1] (numeric) = 12.417427925353276623297764704761 absolute error = 7e-30 relative error = 5.6372382767833537070321321723034e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.419 y[1] (analytic) = 12.419149465709856988450016632632 y[1] (numeric) = 12.419149465709856988450016632639 absolute error = 7e-30 relative error = 5.6364568437858736825615355344250e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=179.2MB, alloc=4.3MB, time=8.83 TOP MAIN SOLVE Loop x[1] = 2.42 y[1] (analytic) = 12.420871244739149379875882562133 y[1] (numeric) = 12.42087124473914937987588256214 absolute error = 7e-30 relative error = 5.6356755191105009682417235001423e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.421 y[1] (analytic) = 12.422593262474243154585342817934 y[1] (numeric) = 12.42259326247424315458534281794 absolute error = 6e-30 relative error = 4.8299094023504742619229050383355e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.422 y[1] (analytic) = 12.424315518948232257065253645927 y[1] (numeric) = 12.424315518948232257065253645934 absolute error = 7e-30 relative error = 5.6341131946660171841959749348915e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.423 y[1] (analytic) = 12.426038014194215219915350629091 y[1] (numeric) = 12.426038014194215219915350629098 absolute error = 7e-30 relative error = 5.6333321948668811748991406093988e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.424 y[1] (analytic) = 12.427760748245295164484340278255 y[1] (numeric) = 12.427760748245295164484340278262 absolute error = 7e-30 relative error = 5.6325513033298025960342723891467e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.425 y[1] (analytic) = 12.429483721134579801506079810004 y[1] (numeric) = 12.429483721134579801506079810011 absolute error = 7e-30 relative error = 5.6317705200397741798760311779179e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.426 y[1] (analytic) = 12.431206932895181431735845123938 y[1] (numeric) = 12.431206932895181431735845123945 absolute error = 7e-30 relative error = 5.6309898449817907390039411482095e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.427 y[1] (analytic) = 12.432930383560216946586686991517 y[1] (numeric) = 12.432930383560216946586686991524 absolute error = 7e-30 relative error = 5.6302092781408491660140182399480e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.428 y[1] (analytic) = 12.434654073162807828765875468719 y[1] (numeric) = 12.434654073162807828765875468727 absolute error = 8e-30 relative error = 6.4336329365736553522633584379580e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.429 y[1] (analytic) = 12.43637800173608015291143254475 y[1] (numeric) = 12.436378001736080152911432544758 absolute error = 8e-30 relative error = 6.4327411074858166770482825022006e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.43 y[1] (analytic) = 12.43810216931316458622875303902 y[1] (numeric) = 12.438102169313164586228753039028 absolute error = 8e-30 relative error = 6.4318494020231723137029781205314e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.431 y[1] (analytic) = 12.439826575927196389127313758649 y[1] (numeric) = 12.439826575927196389127313758657 absolute error = 8e-30 relative error = 6.4309578201685853591178080287658e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 2.432 y[1] (analytic) = 12.441551221611315415857470928709 y[1] (numeric) = 12.441551221611315415857470928717 absolute error = 8e-30 relative error = 6.4300663619049212856976878316457e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.433 y[1] (analytic) = 12.443276106398666115147345907462 y[1] (numeric) = 12.443276106398666115147345907471 absolute error = 9e-30 relative error = 7.2328219056169289336618916584693e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.434 y[1] (analytic) = 12.445001230322397530839799198825 y[1] (numeric) = 12.445001230322397530839799198835 absolute error = 1.0e-29 relative error = 8.0353547701022944344616362829231e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.435 y[1] (analytic) = 12.446726593415663302529492774302 y[1] (numeric) = 12.446726593415663302529492774311 absolute error = 9e-30 relative error = 7.2308168195491762900652626212659e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.436 y[1] (analytic) = 12.448452195711621666200040716622 y[1] (numeric) = 12.448452195711621666200040716631 absolute error = 9e-30 relative error = 7.2298144849689971733782420652589e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.437 y[1] (analytic) = 12.450178037243435454861248197353 y[1] (numeric) = 12.450178037243435454861248197362 absolute error = 9e-30 relative error = 7.2288122893322646541235014504463e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.438 y[1] (analytic) = 12.4519041180442720991864388007 y[1] (numeric) = 12.451904118044272099186438800709 absolute error = 9e-30 relative error = 7.2278102326197184157020427938290e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.439 y[1] (analytic) = 12.453630438147303628149870205763 y[1] (numeric) = 12.453630438147303628149870205772 absolute error = 9e-30 relative error = 7.2268083148121008113766325786190e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.44 y[1] (analytic) = 12.4553569975857066696642382395 y[1] (numeric) = 12.455356997585706669664238239509 absolute error = 9e-30 relative error = 7.2258065358901568639017059770101e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.441 y[1] (analytic) = 12.457083796392662451218269312638 y[1] (numeric) = 12.457083796392662451218269312646 absolute error = 8e-30 relative error = 6.4220487962974526801362865560566e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.442 y[1] (analytic) = 12.458810834601356800514401250789 y[1] (numeric) = 12.458810834601356800514401250798 absolute error = 9e-30 relative error = 7.2238033946262833757591721960975e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.443 y[1] (analytic) = 12.460538112244980146106552533042 y[1] (numeric) = 12.46053811224498014610655253305 absolute error = 8e-30 relative error = 6.4202684731074286442032311155166e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.444 y[1] (analytic) = 12.462265629356727518037979950249 y[1] (numeric) = 12.462265629356727518037979950258 absolute error = 9e-30 relative error = 7.2218008086741115090828889035782e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.445 y[1] (analytic) = 12.463993385969798548479224695316 y[1] (numeric) = 12.463993385969798548479224695325 absolute error = 9e-30 relative error = 7.2207997238918045934850711932176e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.446 y[1] (analytic) = 12.46572138211739747236614689771 y[1] (numeric) = 12.465721382117397472366146897718 absolute error = 8e-30 relative error = 6.4175989136708422309959913837727e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.447 y[1] (analytic) = 12.46744961783273312803804861447 y[1] (numeric) = 12.467449617832733128038048614478 absolute error = 8e-30 relative error = 6.4167093072164924062905680003539e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.448 y[1] (analytic) = 12.469178093149018957875885289989 y[1] (numeric) = 12.469178093149018957875885289998 absolute error = 9e-30 relative error = 7.2177973020891403004747587983925e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.449 y[1] (analytic) = 12.470906808099473008940565696815 y[1] (numeric) = 12.470906808099473008940565696824 absolute error = 9e-30 relative error = 7.2167967722722255715977056832686e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.45 memory used=183.1MB, alloc=4.3MB, time=9.03 y[1] (analytic) = 12.472635762717317933611340369747 y[1] (numeric) = 12.472635762717317933611340369755 absolute error = 8e-30 relative error = 6.4140412276876279713536595776851e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.451 y[1] (analytic) = 12.474364957035780990224278545497 y[1] (numeric) = 12.474364957035780990224278545505 absolute error = 8e-30 relative error = 6.4131521143990954237790042142315e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.452 y[1] (analytic) = 12.476094391088094043710833620188 y[1] (numeric) = 12.476094391088094043710833620196 absolute error = 8e-30 relative error = 6.4122631243592935567456886063949e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.453 y[1] (analytic) = 12.477824064907493566236497136949 y[1] (numeric) = 12.477824064907493566236497136957 absolute error = 8e-30 relative error = 6.4113742575511376524677086526186e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.454 y[1] (analytic) = 12.4795539785272206378395413159 y[1] (numeric) = 12.479553978527220637839541315908 absolute error = 8e-30 relative error = 6.4104855139575453614396925604323e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.455 y[1] (analytic) = 12.481284131980520947069850138783 y[1] (numeric) = 12.481284131980520947069850138791 absolute error = 8e-30 relative error = 6.4095968935614367021086101937414e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.456 y[1] (analytic) = 12.48301452530064479162783900053 y[1] (numeric) = 12.483014525300644791627839000538 absolute error = 8e-30 relative error = 6.4087083963457340605455279277083e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.457 y[1] (analytic) = 12.484745158520847079003462940038 y[1] (numeric) = 12.484745158520847079003462940046 absolute error = 8e-30 relative error = 6.4078200222933621901174090049197e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.458 y[1] (analytic) = 12.48647603167438732711531346244 y[1] (numeric) = 12.486476031674387327115313462448 absolute error = 8e-30 relative error = 6.4069317713872482111589593865305e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.459 y[1] (analytic) = 12.488207144794529664949803965145 y[1] (numeric) = 12.488207144794529664949803965154 absolute error = 9e-30 relative error = 7.2067990990616118119750839785911e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.46 y[1] (analytic) = 12.48993849791454283320044377994 y[1] (numeric) = 12.489938497914542833200443779948 absolute error = 8e-30 relative error = 6.4051556389455142418599990216776e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.461 y[1] (analytic) = 12.491670091067700184907200843425 y[1] (numeric) = 12.491670091067700184907200843434 absolute error = 9e-30 relative error = 7.2048012270477303645842211610204e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.462 y[1] (analytic) = 12.493401924287279686095953008097 y[1] (numeric) = 12.493401924287279686095953008106 absolute error = 9e-30 relative error = 7.2038024987444959974909264174347e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.463 y[1] (analytic) = 12.495133997606563916418028006333 y[1] (numeric) = 12.495133997606563916418028006341 absolute error = 8e-30 relative error = 6.4024923634531615465305789094451e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.464 y[1] (analytic) = 12.496866311058840069789832079595 y[1] (numeric) = 12.496866311058840069789832079603 absolute error = 8e-30 relative error = 6.4016048510661969522766016069528e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.465 y[1] (analytic) = 12.498598864677399955032567285137 y[1] (numeric) = 12.498598864677399955032567285145 absolute error = 8e-30 relative error = 6.4007174617060463393766339852206e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.466 y[1] (analytic) = 12.500331658495539996512037492505 y[1] (numeric) = 12.500331658495539996512037492514 absolute error = 9e-30 relative error = 7.1998089697751127211116356757614e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.467 y[1] (analytic) = 12.502064692546561234778543082137 y[1] (numeric) = 12.502064692546561234778543082145 absolute error = 8e-30 relative error = 6.3989430519979735987293520667904e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.468 y[1] (analytic) = 12.503797966863769327206864358336 y[1] (numeric) = 12.503797966863769327206864358345 absolute error = 9e-30 relative error = 7.1978130355679444826457361968245e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.469 y[1] (analytic) = 12.505531481480474548636333688959 y[1] (numeric) = 12.505531481480474548636333688968 absolute error = 9e-30 relative error = 7.1968152759666075505888267461413e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.47 y[1] (analytic) = 12.507265236429991792010996384074 y[1] (numeric) = 12.507265236429991792010996384083 absolute error = 9e-30 relative error = 7.1958176546745344380639575800513e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.471 y[1] (analytic) = 12.508999231745640569019860325919 y[1] (numeric) = 12.508999231745640569019860325928 absolute error = 9e-30 relative error = 7.1948201716725527387794040084737e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.472 y[1] (analytic) = 12.51073346746074501073723436246 y[1] (numeric) = 12.510733467460745010737234362469 absolute error = 9e-30 relative error = 7.1938228269414927041190941782179e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.473 y[1] (analytic) = 12.512467943608633868263155476852 y[1] (numeric) = 12.512467943608633868263155476861 absolute error = 9e-30 relative error = 7.1928256204621872427742025324463e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.474 y[1] (analytic) = 12.514202660222640513363904745106 y[1] (numeric) = 12.514202660222640513363904745115 absolute error = 9e-30 relative error = 7.1918285522154719203747943385928e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.475 y[1] (analytic) = 12.515937617336102939112612094287 y[1] (numeric) = 12.515937617336102939112612094296 absolute error = 9e-30 relative error = 7.1908316221821849591215212776462e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.476 y[1] (analytic) = 12.517672814982363760529949873535 y[1] (numeric) = 12.517672814982363760529949873544 absolute error = 9e-30 relative error = 7.1898348303431672374173680877344e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.477 y[1] (analytic) = 12.519408253194770215224915250237 y[1] (numeric) = 12.519408253194770215224915250246 absolute error = 9e-30 relative error = 7.1888381766792622894994502549203e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.478 y[1] (analytic) = 12.521143932006674164035701443655 y[1] (numeric) = 12.521143932006674164035701443664 absolute error = 9e-30 relative error = 7.1878416611713163050708627441419e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.479 y[1] (analytic) = 12.522879851451432091670657808335 y[1] (numeric) = 12.522879851451432091670657808344 absolute error = 9e-30 relative error = 7.1868452838001781289325797632144e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.48 y[1] (analytic) = 12.524616011562405107349338779604 y[1] (numeric) = 12.524616011562405107349338779614 absolute error = 1.0e-29 relative error = 7.9842767161629991784615617253634e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.3MB, time=9.22 x[1] = 2.481 y[1] (analytic) = 12.526352412372958945443641693489 y[1] (numeric) = 12.526352412372958945443641693498 absolute error = 9e-30 relative error = 7.1848529433917338540119761954540e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.482 y[1] (analytic) = 12.52808905391646396611903349336 y[1] (numeric) = 12.528089053916463966119033493369 absolute error = 9e-30 relative error = 7.1838569803161387170088124361163e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.483 y[1] (analytic) = 12.529825936226295155975866335646 y[1] (numeric) = 12.529825936226295155975866335655 absolute error = 9e-30 relative error = 7.1828611553007733111184235079116e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.484 y[1] (analytic) = 12.531563059335832128690782106921 y[1] (numeric) = 12.53156305933583212869078210693 absolute error = 9e-30 relative error = 7.1818654683264997511114619552551e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.485 y[1] (analytic) = 12.53330042327845912565820586471 y[1] (numeric) = 12.533300423278459125658205864718 absolute error = 8e-30 relative error = 6.3829954838881624930212706202218e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.486 y[1] (analytic) = 12.535038028087565016631928214325 y[1] (numeric) = 12.535038028087565016631928214334 absolute error = 9e-30 relative error = 7.1798745084246898919144335776269e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.487 y[1] (analytic) = 12.536775873796543300366776634081 y[1] (numeric) = 12.53677587379654330036677663409 absolute error = 9e-30 relative error = 7.1788792354588910852464956336834e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.488 y[1] (analytic) = 12.538513960438792105260375761198 y[1] (numeric) = 12.538513960438792105260375761207 absolute error = 9e-30 relative error = 7.1778841004576591087709093446543e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.489 y[1] (analytic) = 12.540252288047714189994996650747 y[1] (numeric) = 12.540252288047714189994996650756 absolute error = 9e-30 relative error = 7.1768891034018693380331505849513e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.49 y[1] (analytic) = 12.541990856656716944179495019961 y[1] (numeric) = 12.54199085665671694417949501997 absolute error = 9e-30 relative error = 7.1758942442723997996308380357048e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.491 y[1] (analytic) = 12.543729666299212388991338490249 y[1] (numeric) = 12.543729666299212388991338490259 absolute error = 1.0e-29 relative error = 7.9721105811668124120513831044970e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.492 y[1] (analytic) = 12.545468717008617177818722839265 y[1] (numeric) = 12.545468717008617177818722839274 absolute error = 9e-30 relative error = 7.1739049397159467792788609235682e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.493 y[1] (analytic) = 12.547208008818352596902777275339 y[1] (numeric) = 12.547208008818352596902777275349 absolute error = 1.0e-29 relative error = 7.9699005491674806694200077098857e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.494 y[1] (analytic) = 12.548947541761844565979858746666 y[1] (numeric) = 12.548947541761844565979858746675 absolute error = 9e-30 relative error = 7.1719161866353772675754982173244e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.495 y[1] (analytic) = 12.550687315872523638923935297532 y[1] (numeric) = 12.550687315872523638923935297541 absolute error = 9e-30 relative error = 7.1709220168507720509183603304363e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.496 y[1] (analytic) = 12.552427331183825004389058483981 y[1] (numeric) = 12.55242733118382500438905848399 absolute error = 9e-30 relative error = 7.1699279848778108777015952886735e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.497 y[1] (analytic) = 12.55416758772918848645192486123 y[1] (numeric) = 12.554167587729188486451924861239 absolute error = 9e-30 relative error = 7.1689340906973903216009986917769e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.498 y[1] (analytic) = 12.555908085542058545254526555203 y[1] (numeric) = 12.555908085542058545254526555212 absolute error = 9e-30 relative error = 7.1679403342904096044060277780533e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.499 y[1] (analytic) = 12.55764882465588427764689093052 y[1] (numeric) = 12.557648824655884277646890930529 absolute error = 9e-30 relative error = 7.1669467156377705956527203654116e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.5 y[1] (analytic) = 12.559389805104119417829909367307 y[1] (numeric) = 12.559389805104119417829909367316 absolute error = 9e-30 relative error = 7.1659532347203778122566646771093e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.501 y[1] (analytic) = 12.561131026920222337998255159169 y[1] (numeric) = 12.561131026920222337998255159179 absolute error = 1.0e-29 relative error = 7.9610665461323760201622444946224e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.502 y[1] (analytic) = 12.562872490137656048983390544693 y[1] (numeric) = 12.562872490137656048983390544703 absolute error = 1.0e-29 relative error = 7.9599629844610691376606538714960e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.503 y[1] (analytic) = 12.564614194789888200896662884822 y[1] (numeric) = 12.564614194789888200896662884832 absolute error = 1.0e-29 relative error = 7.9588595757652907626165968108787e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.504 y[1] (analytic) = 12.56635614091039108377248999848 y[1] (numeric) = 12.56635614091039108377248999849 absolute error = 1.0e-29 relative error = 7.9577563200238354536573017011415e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.505 y[1] (analytic) = 12.568098328532641628211634668792 y[1] (numeric) = 12.568098328532641628211634668802 absolute error = 1.0e-29 relative error = 7.9566532172155007089046219950337e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.506 y[1] (analytic) = 12.56984075769012140602456833227 y[1] (numeric) = 12.569840757690121406024568332279 absolute error = 9e-30 relative error = 7.1599952405871782690108075746480e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.507 y[1] (analytic) = 12.571583428416316630874923963321 y[1] (numeric) = 12.57158342841631663087492396333 absolute error = 9e-30 relative error = 7.1590027232820578395813838848973e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.508 y[1] (analytic) = 12.573326340744718158923038166461 y[1] (numeric) = 12.57332634074471815892303816647 absolute error = 9e-30 relative error = 7.1580103435595150324708977575632e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.509 y[1] (analytic) = 12.575069494708821489469582488578 y[1] (numeric) = 12.575069494708821489469582488588 absolute error = 1.0e-29 relative error = 7.9522423348894201938921396773019e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.51 y[1] (analytic) = 12.576812890342126765599283963635 y[1] (numeric) = 12.576812890342126765599283963644 absolute error = 9e-30 relative error = 7.1560259967858782362130900285765e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.511 y[1] (analytic) = 12.578556527678138774824734902165 y[1] (numeric) = 12.578556527678138774824734902174 memory used=190.7MB, alloc=4.3MB, time=9.41 absolute error = 9e-30 relative error = 7.1550340296966488314825878652301e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.512 y[1] (analytic) = 12.580300406750366949730291937954 y[1] (numeric) = 12.580300406750366949730291937963 absolute error = 9e-30 relative error = 7.1540422001137262171717711255800e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.513 y[1] (analytic) = 12.58204452759232536861606434426 y[1] (numeric) = 12.582044527592325368616064344269 absolute error = 9e-30 relative error = 7.1530505080180492927537771565658e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.514 y[1] (analytic) = 12.583788890237532756141991631967 y[1] (numeric) = 12.583788890237532756141991631977 absolute error = 1.0e-29 relative error = 7.9467321704339551110535669084009e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.515 y[1] (analytic) = 12.58553349471951248397201044204 y[1] (numeric) = 12.58553349471951248397201044205 absolute error = 1.0e-29 relative error = 7.9456305957913348026165263676969e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.516 y[1] (analytic) = 12.587278341071792571418310744657 y[1] (numeric) = 12.587278341071792571418310744668 absolute error = 1.1e-29 relative error = 8.7389820912336815706625651500018e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.517 y[1] (analytic) = 12.589023429327905686085681357419 y[1] (numeric) = 12.589023429327905686085681357429 absolute error = 1.0e-29 relative error = 7.9434279045851877271198339103095e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.518 y[1] (analytic) = 12.59076875952138914451594479499 y[1] (numeric) = 12.590768759521389144515944795 absolute error = 1.0e-29 relative error = 7.9423267879793293748434083048025e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.519 y[1] (analytic) = 12.592514331685784912832481462588 y[1] (numeric) = 12.592514331685784912832481462598 absolute error = 1.0e-29 relative error = 7.9412258240100649793334912038164e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.52 y[1] (analytic) = 12.594260145854639607384843205681 y[1] (numeric) = 12.594260145854639607384843205691 absolute error = 1.0e-29 relative error = 7.9401250126562360822662601277540e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.521 y[1] (analytic) = 12.596006202061504495393456228299 y[1] (numeric) = 12.596006202061504495393456228308 absolute error = 9e-30 relative error = 7.1451219185070184424697619687587e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.522 y[1] (analytic) = 12.597752500339935495594413392332 y[1] (numeric) = 12.597752500339935495594413392342 absolute error = 1.0e-29 relative error = 7.9379238477102656146672113140265e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.523 y[1] (analytic) = 12.599499040723493178884355910237 y[1] (numeric) = 12.599499040723493178884355910247 absolute error = 1.0e-29 relative error = 7.9368234940758217907707418464266e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.524 y[1] (analytic) = 12.601245823245742768965444443505 y[1] (numeric) = 12.601245823245742768965444443515 absolute error = 1.0e-29 relative error = 7.9357232929722089577746851375942e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.525 y[1] (analytic) = 12.602992847940254142990419619319 y[1] (numeric) = 12.60299284794025414299041961933 absolute error = 1.1e-29 relative error = 8.7280855688161116500192327529839e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.526 y[1] (analytic) = 12.604740114840601832207751977787 y[1] (numeric) = 12.604740114840601832207751977798 absolute error = 1.1e-29 relative error = 8.7268756831001944060658559532471e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.527 y[1] (analytic) = 12.606487623980365022606881362137 y[1] (numeric) = 12.606487623980365022606881362148 absolute error = 1.1e-29 relative error = 8.7256659650984263921064245454886e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.528 y[1] (analytic) = 12.608235375393127555563545764297 y[1] (numeric) = 12.608235375393127555563545764308 absolute error = 1.1e-29 relative error = 8.7244564147875591017060839560652e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.529 y[1] (analytic) = 12.609983369112477928485199638244 y[1] (numeric) = 12.609983369112477928485199638256 absolute error = 1.2e-29 relative error = 9.5162694896120151830551976118560e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.53 y[1] (analytic) = 12.611731605172009295456521693537 y[1] (numeric) = 12.611731605172009295456521693549 absolute error = 1.2e-29 relative error = 9.5149503459769623042723097485339e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.531 y[1] (analytic) = 12.613480083605319467885012181424 y[1] (numeric) = 12.613480083605319467885012181437 absolute error = 1.3e-29 relative error = 1.0306434000634820271824559973328e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.532 y[1] (analytic) = 12.615228804446010915146679685956 y[1] (numeric) = 12.615228804446010915146679685969 absolute error = 1.3e-29 relative error = 1.0305005324531556165393373529773e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.533 y[1] (analytic) = 12.616977767727690765231817432486 y[1] (numeric) = 12.616977767727690765231817432498 absolute error = 1.2e-29 relative error = 9.5109940121271941914170077152727e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.534 y[1] (analytic) = 12.618726973483970805390869125989 y[1] (numeric) = 12.618726973483970805390869126001 absolute error = 1.2e-29 relative error = 9.5096755997779202161179514682297e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.535 y[1] (analytic) = 12.620476421748467482780384331604 y[1] (numeric) = 12.620476421748467482780384331617 absolute error = 1.3e-29 relative error = 1.0300720484368966887533002596187e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.536 y[1] (analytic) = 12.622226112554801905109063409812 y[1] (numeric) = 12.622226112554801905109063409825 absolute error = 1.3e-29 relative error = 1.0299292600272341947734965849338e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.537 y[1] (analytic) = 12.623976045936599841283892018664 y[1] (numeric) = 12.623976045936599841283892018677 absolute error = 1.3e-29 relative error = 1.0297864914108764165979750254433e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.538 y[1] (analytic) = 12.625726221927491722056365195485 y[1] (numeric) = 12.625726221927491722056365195499 absolute error = 1.4e-29 relative error = 1.1088471073993165027984958245377e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.539 y[1] (analytic) = 12.62747664056111264066880103047 y[1] (numeric) = 12.627476640561112640668801030483 absolute error = 1.3e-29 relative error = 1.0295010135471004100560648026539e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.54 y[1] (analytic) = 12.629227301871102353500743944576 y[1] (numeric) = 12.62922730187110235350074394459 absolute error = 1.4e-29 relative error = 1.1085397123168262824230702311614e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.541 y[1] (analytic) = 12.630978205891105280715457584175 y[1] (numeric) = 12.630978205891105280715457584188 absolute error = 1.3e-29 relative error = 1.0292156148236232769776885947669e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.3MB, time=9.61 x[1] = 2.542 y[1] (analytic) = 12.63272935265477050690650734483 y[1] (numeric) = 12.632729352654770506906507344843 absolute error = 1.3e-29 relative error = 1.0290729451326405165014041495129e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.543 y[1] (analytic) = 12.634480742195751781744432536687 y[1] (numeric) = 12.634480742195751781744432536701 absolute error = 1.4e-29 relative error = 1.1080787794660830711491631883863e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.544 y[1] (analytic) = 12.636232374547707520623508203861 y[1] (numeric) = 12.636232374547707520623508203874 absolute error = 1.3e-29 relative error = 1.0287876650784773909945049095055e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.545 y[1] (analytic) = 12.637984249744300805308596610264 y[1] (numeric) = 12.637984249744300805308596610276 absolute error = 1.2e-29 relative error = 9.4951851203982875029086729754303e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.546 y[1] (analytic) = 12.639736367819199384582088404312 y[1] (numeric) = 12.639736367819199384582088404325 absolute error = 1.3e-29 relative error = 1.0285024641097762711240344188860e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.547 y[1] (analytic) = 12.641488728806075674890933474938 y[1] (numeric) = 12.641488728806075674890933474952 absolute error = 1.4e-29 relative error = 1.1074645004506703227731957219890e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.548 y[1] (analytic) = 12.643241332738606760993761511338 y[1] (numeric) = 12.643241332738606760993761511352 absolute error = 1.4e-29 relative error = 1.1073109839126602080713533661307e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.549 y[1] (analytic) = 12.644994179650474396608092278898 y[1] (numeric) = 12.644994179650474396608092278912 absolute error = 1.4e-29 relative error = 1.1071574886550861100730090015684e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.55 y[1] (analytic) = 12.646747269575365005057635623737 y[1] (numeric) = 12.646747269575365005057635623751 absolute error = 1.4e-29 relative error = 1.1070040146749981384084933085140e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.551 y[1] (analytic) = 12.648500602546969679919681218306 y[1] (numeric) = 12.64850060254696967991968121832 absolute error = 1.4e-29 relative error = 1.1068505619694468116214311420503e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.552 y[1] (analytic) = 12.650254178598984185672578060478 y[1] (numeric) = 12.650254178598984185672578060492 absolute error = 1.4e-29 relative error = 1.1066971305354830571120580418319e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.553 y[1] (analytic) = 12.652007997765108958343303738582 y[1] (numeric) = 12.652007997765108958343303738596 absolute error = 1.4e-29 relative error = 1.1065437203701582110805445992414e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.554 y[1] (analytic) = 12.653762060079049106155123474822 y[1] (numeric) = 12.653762060079049106155123474836 absolute error = 1.4e-29 relative error = 1.1063903314705240184703286809126e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.555 y[1] (analytic) = 12.655516365574514410175338959525 y[1] (numeric) = 12.65551636557451441017533895954 absolute error = 1.5e-29 relative error = 1.1852538898217492495479880437825e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.556 y[1] (analytic) = 12.657270914285219324963126988675 y[1] (numeric) = 12.657270914285219324963126988689 absolute error = 1.4e-29 relative error = 1.1060836174565366166639255868194e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.557 y[1] (analytic) = 12.659025706244882979217467917165 y[1] (numeric) = 12.65902570624488297921746791718 absolute error = 1.5e-29 relative error = 1.1849253132174524363154112496075e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.558 y[1] (analytic) = 12.66078074148722917642516394025 y[1] (numeric) = 12.660780741487229176425163940265 absolute error = 1.5e-29 relative error = 1.1847610590749389113780177193440e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.559 y[1] (analytic) = 12.662536020045986395508947215618 y[1] (numeric) = 12.662536020045986395508947215633 absolute error = 1.5e-29 relative error = 1.1845968277013062871242030654437e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.56 y[1] (analytic) = 12.664291541954887791475677838562 y[1] (numeric) = 12.664291541954887791475677838577 absolute error = 1.5e-29 relative error = 1.1844326190933983452112437501636e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.561 y[1] (analytic) = 12.666047307247671196064631682701 y[1] (numeric) = 12.666047307247671196064631682716 absolute error = 1.5e-29 relative error = 1.1842684332480593048108584429502e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.562 y[1] (analytic) = 12.667803315958079118395878118703 y[1] (numeric) = 12.667803315958079118395878118719 absolute error = 1.6e-29 relative error = 1.2630445548396094107184638335306e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.563 y[1] (analytic) = 12.669559568119858745618747623485 y[1] (numeric) = 12.669559568119858745618747623501 absolute error = 1.6e-29 relative error = 1.2628694718212981252725492420979e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.564 y[1] (analytic) = 12.671316063766761943560389292331 y[1] (numeric) = 12.671316063766761943560389292347 absolute error = 1.6e-29 relative error = 1.2626944130729646355684410810903e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.565 y[1] (analytic) = 12.673072802932545257374418266417 y[1] (numeric) = 12.673072802932545257374418266433 absolute error = 1.6e-29 relative error = 1.2625193785912446414707684680765e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.566 y[1] (analytic) = 12.674829785650969912189653088188 y[1] (numeric) = 12.674829785650969912189653088204 absolute error = 1.6e-29 relative error = 1.2623443683727743092028649295919e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.567 y[1] (analytic) = 12.676587011955801813758942997067 y[1] (numeric) = 12.676587011955801813758942997082 absolute error = 1.5e-29 relative error = 1.1832837960133033793269892231084e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.568 y[1] (analytic) = 12.678344481880811549108085177956 y[1] (numeric) = 12.678344481880811549108085177971 absolute error = 1.5e-29 relative error = 1.1831197694176215248018913839468e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.569 y[1] (analytic) = 12.680102195459774387184831975016 y[1] (numeric) = 12.680102195459774387184831975031 absolute error = 1.5e-29 relative error = 1.1829557655592780684070203712921e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.57 y[1] (analytic) = 12.681860152726470279507988083172 y[1] (numeric) = 12.681860152726470279507988083187 absolute error = 1.5e-29 relative error = 1.1827917844351211642159153766283e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.571 y[1] (analytic) = 12.683618353714683860816597729849 y[1] (numeric) = 12.683618353714683860816597729863 absolute error = 1.4e-29 relative error = 1.1037859709725327763297572631797e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.572 y[1] (analytic) = 12.685376798458204449719221859384 y[1] (numeric) = 12.685376798458204449719221859398 absolute error = 1.4e-29 relative error = 1.1036329643516443590056032012822e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=198.3MB, alloc=4.3MB, time=9.80 TOP MAIN SOLVE Loop x[1] = 2.573 y[1] (analytic) = 12.687135486990826049343305332623 y[1] (numeric) = 12.687135486990826049343305332637 absolute error = 1.4e-29 relative error = 1.1034799789405073349381384032029e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.574 y[1] (analytic) = 12.688894419346347347984634154153 y[1] (numeric) = 12.688894419346347347984634154167 absolute error = 1.4e-29 relative error = 1.1033270147361816120480023462829e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.575 y[1] (analytic) = 12.690653595558571719756882739672 y[1] (numeric) = 12.690653595558571719756882739686 absolute error = 1.4e-29 relative error = 1.1031740717357275058108913703757e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.576 y[1] (analytic) = 12.692413015661307225241251235971 y[1] (numeric) = 12.692413015661307225241251235985 absolute error = 1.4e-29 relative error = 1.1030211499362057392010634661699e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.577 y[1] (analytic) = 12.694172679688366612136192906011 y[1] (numeric) = 12.694172679688366612136192906025 absolute error = 1.4e-29 relative error = 1.1028682493346774426348508948683e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.578 y[1] (analytic) = 12.69593258767356731590723159159 y[1] (numeric) = 12.695932587673567315907231591604 absolute error = 1.4e-29 relative error = 1.1027153699282041539141806381384e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.579 y[1] (analytic) = 12.697692739650731460436869266076 y[1] (numeric) = 12.69769273965073146043686926609 absolute error = 1.4e-29 relative error = 1.1025625117138478181701026772474e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.58 y[1] (analytic) = 12.699453135653685858674583689708 y[1] (numeric) = 12.699453135653685858674583689722 absolute error = 1.4e-29 relative error = 1.1024096746886707878063261002988e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.581 y[1] (analytic) = 12.701213775716262013286916179951 y[1] (numeric) = 12.701213775716262013286916179966 absolute error = 1.5e-29 relative error = 1.1809894916247169526172461105170e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.582 y[1] (analytic) = 12.7029746598722961173076495094 y[1] (numeric) = 12.702974659872296117307649509414 absolute error = 1.4e-29 relative error = 1.1021040641941060888590804162562e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.583 y[1] (analytic) = 12.704735788155629054788075943718 y[1] (numeric) = 12.704735788155629054788075943732 absolute error = 1.4e-29 relative error = 1.1019512907188451609382595563715e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.584 y[1] (analytic) = 12.70649716060010640144735543213 y[1] (numeric) = 12.706497160600106401447355432143 absolute error = 1.3e-29 relative error = 1.0230986428195158039237233137566e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.585 y[1] (analytic) = 12.70825877723957842532296396294 y[1] (numeric) = 12.708258777239578425322963962954 absolute error = 1.4e-29 relative error = 1.1016458072976860527951125915010e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.586 y[1] (analytic) = 12.710020638107900087421232096604 y[1] (numeric) = 12.710020638107900087421232096618 absolute error = 1.4e-29 relative error = 1.1014930973459170553474668428657e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.587 y[1] (analytic) = 12.711782743238931042367973688825 y[1] (numeric) = 12.711782743238931042367973688839 absolute error = 1.4e-29 relative error = 1.1013404085627752289992174938898e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.588 y[1] (analytic) = 12.713545092666535639059204816207 y[1] (numeric) = 12.713545092666535639059204816222 absolute error = 1.5e-29 relative error = 1.1798440081557066238966986019865e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.589 y[1] (analytic) = 12.715307686424582921311952916961 y[1] (numeric) = 12.715307686424582921311952916976 absolute error = 1.5e-29 relative error = 1.1796804583828242113342436659026e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.59 y[1] (analytic) = 12.717070524546946628515156159155 y[1] (numeric) = 12.71707052454694662851515615917 absolute error = 1.5e-29 relative error = 1.1795169312811831026973405003468e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.591 y[1] (analytic) = 12.718833607067505196280653049048 y[1] (numeric) = 12.718833607067505196280653049063 absolute error = 1.5e-29 relative error = 1.1793534268476406144273249177538e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.592 y[1] (analytic) = 12.720596934020141757094262291989 y[1] (numeric) = 12.720596934020141757094262292004 absolute error = 1.5e-29 relative error = 1.1791899450790544986037855062491e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.593 y[1] (analytic) = 12.722360505438744140966952918417 y[1] (numeric) = 12.722360505438744140966952918432 absolute error = 1.5e-29 relative error = 1.1790264859722829428841755301986e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.594 y[1] (analytic) = 12.724124321357204876086104687457 y[1] (numeric) = 12.724124321357204876086104687471 absolute error = 1.4e-29 relative error = 1.1002721795559055990805376549633e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.595 y[1] (analytic) = 12.72588838180942118946685878064 y[1] (numeric) = 12.725888381809421189466858780654 absolute error = 1.4e-29 relative error = 1.1001196600161772105860363007013e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.596 y[1] (analytic) = 12.727652686829295007603558798266 y[1] (numeric) = 12.72765268682929500760355879828 absolute error = 1.4e-29 relative error = 1.0999671616186811089686086724985e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.597 y[1] (analytic) = 12.729417236450732957121282070917 y[1] (numeric) = 12.729417236450732957121282070932 absolute error = 1.5e-29 relative error = 1.1783728761005213160383284882732e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.598 y[1] (analytic) = 12.731182030707646365427461298657 y[1] (numeric) = 12.731182030707646365427461298672 absolute error = 1.5e-29 relative error = 1.1782095302557106166993160088928e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.599 y[1] (analytic) = 12.732947069633951261363596530426 y[1] (numeric) = 12.732947069633951261363596530441 absolute error = 1.5e-29 relative error = 1.1780462070538727471634317812804e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.6 y[1] (analytic) = 12.734712353263568375857057496169 y[1] (numeric) = 12.734712353263568375857057496184 absolute error = 1.5e-29 relative error = 1.1778829064918689424430180356748e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.601 y[1] (analytic) = 12.736477881630423142572976304213 y[1] (numeric) = 12.736477881630423142572976304228 absolute error = 1.5e-29 relative error = 1.1777196285665608726454781410661e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.602 y[1] (analytic) = 12.738243654768445698566230516426 y[1] (numeric) = 12.738243654768445698566230516442 absolute error = 1.6e-29 relative error = 1.2560601314931313524404947230687e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.603 y[1] (analytic) = 12.740009672711570884933516613694 y[1] (numeric) = 12.740009672711570884933516613709 absolute error = 1.5e-29 relative error = 1.1773931406134807933620706211924e-28 % Correct digits = 29 h = 0.001 NO POLE memory used=202.1MB, alloc=4.3MB, time=9.98 TOP MAIN SOLVE Loop x[1] = 2.604 y[1] (analytic) = 12.741775935493738247465513864223 y[1] (numeric) = 12.741775935493738247465513864239 absolute error = 1.6e-29 relative error = 1.2557119259513965856251114756093e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.605 y[1] (analytic) = 12.743542443148892037299138607244 y[1] (numeric) = 12.74354244314889203729913860726 absolute error = 1.6e-29 relative error = 1.2555378593808368744341135626258e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.606 y[1] (analytic) = 12.745309195710981211569888964604 y[1] (numeric) = 12.74530919571098121156988896462 absolute error = 1.6e-29 relative error = 1.2553638169393551470032780933399e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.607 y[1] (analytic) = 12.747076193213959434064279992821 y[1] (numeric) = 12.747076193213959434064279992837 absolute error = 1.6e-29 relative error = 1.2551897986236066347048652613444e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.608 y[1] (analytic) = 12.74884343569178507587236928812 y[1] (numeric) = 12.748843435691785075872369288136 absolute error = 1.6e-29 relative error = 1.2550158044302470325623854506470e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.609 y[1] (analytic) = 12.750610923178421216040373056998 y[1] (numeric) = 12.750610923178421216040373057014 absolute error = 1.6e-29 relative error = 1.2548418343559324991863279793515e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.61 y[1] (analytic) = 12.752378655707835642223372664853 y[1] (numeric) = 12.752378655707835642223372664869 absolute error = 1.6e-29 relative error = 1.2546678883973196567098987526086e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.611 y[1] (analytic) = 12.754146633314000851338111675237 y[1] (numeric) = 12.754146633314000851338111675252 absolute error = 1.5e-29 relative error = 1.1760880936416239913044688971266e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.612 y[1] (analytic) = 12.755914856030894050215883392253 y[1] (numeric) = 12.755914856030894050215883392268 absolute error = 1.5e-29 relative error = 1.1759250645129636095782686200015e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.613 y[1] (analytic) = 12.757683323892497156255508918672 y[1] (numeric) = 12.757683323892497156255508918687 absolute error = 1.5e-29 relative error = 1.1757620579833729195330579912356e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.614 y[1] (analytic) = 12.759452036932796798076405742295 y[1] (numeric) = 12.75945203693279679807640574231 absolute error = 1.5e-29 relative error = 1.1755990740497192420266122530487e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 2.404e+29 TOP MAIN SOLVE Loop x[1] = 2.615 y[1] (analytic) = 12.761220995185784316171746863124 y[1] (numeric) = 12.761220995185784316171746863139 absolute error = 1.5e-29 relative error = 1.1754361127088703321681489423219e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.616 y[1] (analytic) = 12.76299019868545576356171047389 y[1] (numeric) = 12.762990198685455763561710473905 absolute error = 1.5e-29 relative error = 1.1752731739576943792581320305775e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.617 y[1] (analytic) = 12.764759647465811906446820206497 y[1] (numeric) = 12.764759647465811906446820206512 absolute error = 1.5e-29 relative error = 1.1751102577930600067280844082978e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.618 y[1] (analytic) = 12.766529341560858224861375956928 y[1] (numeric) = 12.766529341560858224861375956943 absolute error = 1.5e-29 relative error = 1.1749473642118362720804087124272e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.619 y[1] (analytic) = 12.768299281004604913326975301182 y[1] (numeric) = 12.768299281004604913326975301197 absolute error = 1.5e-29 relative error = 1.1747844932108926668282164959010e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.62 y[1] (analytic) = 12.770069465831066881506125514794 y[1] (numeric) = 12.770069465831066881506125514809 absolute error = 1.5e-29 relative error = 1.1746216447870991164351657380440e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.621 y[1] (analytic) = 12.771839896074263754855946208503 y[1] (numeric) = 12.771839896074263754855946208517 absolute error = 1.4e-29 relative error = 1.0961615643415042482382862483711e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.622 y[1] (analytic) = 12.773610571768219875281962592626 y[1] (numeric) = 12.77361057176821987528196259264 absolute error = 1.4e-29 relative error = 1.0960096146145477813747403476977e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.623 y[1] (analytic) = 12.775381492946964301791989382713 y[1] (numeric) = 12.775381492946964301791989382727 absolute error = 1.4e-29 relative error = 1.0958576859508362532396289849164e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.624 y[1] (analytic) = 12.777152659644530811150105359037 y[1] (numeric) = 12.77715265964453081115010535905 absolute error = 1.3e-29 relative error = 1.0174410798940606032778278294413e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.625 y[1] (analytic) = 12.778924071894957898530718592491 y[1] (numeric) = 12.778924071894957898530718592504 absolute error = 1.3e-29 relative error = 1.0173000423870786212053117353692e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.626 y[1] (analytic) = 12.780695729732288778172722349472 y[1] (numeric) = 12.780695729732288778172722349485 absolute error = 1.3e-29 relative error = 1.0171590244306915274027091001422e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.627 y[1] (analytic) = 12.782467633190571384033741688308 y[1] (numeric) = 12.782467633190571384033741688321 absolute error = 1.3e-29 relative error = 1.0170180260221892217791690832328e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.628 y[1] (analytic) = 12.784239782303858370444470759811 y[1] (numeric) = 12.784239782303858370444470759824 absolute error = 1.3e-29 relative error = 1.0168770471588619799174479340145e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.629 y[1] (analytic) = 12.78601217710620711276310082453 y[1] (numeric) = 12.786012177106207112763100824542 absolute error = 1.2e-29 relative error = 9.3852561954276964894323062875563e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.63 y[1] (analytic) = 12.787784817631679708029838999275 y[1] (numeric) = 12.787784817631679708029838999288 absolute error = 1.3e-29 relative error = 1.0165951480568956678660750407316e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.631 y[1] (analytic) = 12.789557703914342975621517745506 y[1] (numeric) = 12.789557703914342975621517745519 absolute error = 1.3e-29 relative error = 1.0164542278128390267413250421310e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.632 y[1] (analytic) = 12.791330835988268457906295112143 y[1] (numeric) = 12.791330835988268457906295112156 absolute error = 1.3e-29 relative error = 1.0163133271031223074040818706274e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.633 y[1] (analytic) = 12.793104213887532420898445745404 y[1] (numeric) = 12.793104213887532420898445745417 absolute error = 1.3e-29 relative error = 1.0161724459250376630241444257441e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=206.0MB, alloc=4.3MB, time=10.17 x[1] = 2.634 y[1] (analytic) = 12.794877837646215854913242678235 y[1] (numeric) = 12.794877837646215854913242678248 absolute error = 1.3e-29 relative error = 1.0160315842758776221325720943356e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.635 y[1] (analytic) = 12.796651707298404475221929911936 y[1] (numeric) = 12.796651707298404475221929911949 absolute error = 1.3e-29 relative error = 1.0158907421529350885696522374096e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.636 y[1] (analytic) = 12.79842582287818872270678580255 y[1] (numeric) = 12.798425822878188722706785802563 absolute error = 1.3e-29 relative error = 1.0157499195535033414328748896883e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.637 y[1] (analytic) = 12.800200184419663764516277264624 y[1] (numeric) = 12.800200184419663764516277264637 absolute error = 1.3e-29 relative error = 1.0156091164748760350249146709069e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.638 y[1] (analytic) = 12.801974791956929494720304804915 y[1] (numeric) = 12.801974791956929494720304804929 absolute error = 1.4e-29 relative error = 1.0935812816000662140940522084550e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.639 y[1] (analytic) = 12.803749645524090534965538398653 y[1] (numeric) = 12.803749645524090534965538398666 absolute error = 1.3e-29 relative error = 1.0153275688692112373200089661328e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.64 y[1] (analytic) = 12.805524745155256235130844220929 y[1] (numeric) = 12.805524745155256235130844220943 absolute error = 1.4e-29 relative error = 1.0932781185165139248159871592230e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.641 y[1] (analytic) = 12.807300090884540673982802245838 y[1] (numeric) = 12.807300090884540673982802245852 absolute error = 1.4e-29 relative error = 1.0931265684923203113886976275211e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.642 y[1] (analytic) = 12.80907568274606265983131472594 y[1] (numeric) = 12.809075682746062659831314725954 absolute error = 1.4e-29 relative error = 1.0929750394759649086535333508898e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.643 y[1] (analytic) = 12.810851520773945731185305564665 y[1] (numeric) = 12.810851520773945731185305564679 absolute error = 1.4e-29 relative error = 1.0928235314645356137016700200035e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.644 y[1] (analytic) = 12.812627605002318157408510594248 y[1] (numeric) = 12.812627605002318157408510594262 absolute error = 1.4e-29 relative error = 1.0926720444551207272994861965710e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.645 y[1] (analytic) = 12.814403935465312939375358771805 y[1] (numeric) = 12.814403935465312939375358771819 absolute error = 1.4e-29 relative error = 1.0925205784448089538326059263483e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.646 y[1] (analytic) = 12.816180512197067810126944306153 y[1] (numeric) = 12.816180512197067810126944306167 absolute error = 1.4e-29 relative error = 1.0923691334306894012499491089564e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.647 y[1] (analytic) = 12.817957335231725235527089727975 y[1] (numeric) = 12.817957335231725235527089727989 absolute error = 1.4e-29 relative error = 1.0922177094098515810077896234263e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.648 y[1] (analytic) = 12.819734404603432414918499915946 y[1] (numeric) = 12.819734404603432414918499915961 absolute error = 1.5e-29 relative error = 1.1700710425493415085862370089965e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.649 y[1] (analytic) = 12.82151172034634128177900709143 y[1] (numeric) = 12.821511720346341281779007091445 absolute error = 1.5e-29 relative error = 1.1699088475032655720406047455974e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.65 y[1] (analytic) = 12.82328928249460850437790679435 y[1] (numeric) = 12.823289282494608504377906794364 absolute error = 1.4e-29 relative error = 1.0917635632779296803227813975952e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.651 y[1] (analytic) = 12.825067091082395486432384852854 y[1] (numeric) = 12.825067091082395486432384852869 absolute error = 1.5e-29 relative error = 1.1695845248583449702088195456086e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.652 y[1] (analytic) = 12.826845146143868367764035359396 y[1] (numeric) = 12.82684514614386836776403535941 absolute error = 1.4e-29 relative error = 1.0914609041030496043417686653009e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.653 y[1] (analytic) = 12.828623447713198024955469665829 y[1] (numeric) = 12.828623447713198024955469665843 absolute error = 1.4e-29 relative error = 1.0913096059808045080894452430612e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.654 y[1] (analytic) = 12.830401995824560072007016410158 y[1] (numeric) = 12.830401995824560072007016410172 absolute error = 1.4e-29 relative error = 1.0911583288314790178799584814387e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.655 y[1] (analytic) = 12.832180790512134860993512587546 y[1] (numeric) = 12.83218079051213486099351258756 absolute error = 1.4e-29 relative error = 1.0910070726521658712154369470247e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.656 y[1] (analytic) = 12.833959831810107482721185678212 y[1] (numeric) = 12.833959831810107482721185678226 absolute error = 1.4e-29 relative error = 1.0908558374399582086022351461487e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.657 y[1] (analytic) = 12.83573911975266776738462684484 y[1] (numeric) = 12.835739119752667767384626844854 absolute error = 1.4e-29 relative error = 1.0907046231919495734950691485981e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.658 y[1] (analytic) = 12.837518654374010285223855212128 y[1] (numeric) = 12.837518654374010285223855212142 absolute error = 1.4e-29 relative error = 1.0905534299052339122411599552487e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.659 y[1] (analytic) = 12.839298435708334347181473241094 y[1] (numeric) = 12.839298435708334347181473241108 absolute error = 1.4e-29 relative error = 1.0904022575769055740243846085321e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.66 y[1] (analytic) = 12.841078463789844005559913210783 y[1] (numeric) = 12.841078463789844005559913210797 absolute error = 1.4e-29 relative error = 1.0902511062040593108094350446660e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.661 y[1] (analytic) = 12.842858738652748054678774819997 y[1] (numeric) = 12.842858738652748054678774820011 absolute error = 1.4e-29 relative error = 1.0900999757837902772859846865752e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.662 y[1] (analytic) = 12.844639260331260031532253921682 y[1] (numeric) = 12.844639260331260031532253921696 absolute error = 1.4e-29 relative error = 1.0899488663131940308128627764293e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.663 y[1] (analytic) = 12.846420028859598216446662402606 y[1] (numeric) = 12.846420028859598216446662402619 absolute error = 1.3e-29 relative error = 1.0119550793758403505506481291025e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.664 y[1] (analytic) = 12.848201044271985633738039220966 y[1] (numeric) = 12.84820104427198563373803922098 absolute error = 1.4e-29 relative error = 1.0896467102094041414638005288439e-28 % Correct digits = 29 h = 0.001 NO POLE memory used=209.8MB, alloc=4.3MB, time=10.37 TOP MAIN SOLVE Loop x[1] = 2.665 y[1] (analytic) = 12.849982306602650052369852614572 y[1] (numeric) = 12.849982306602650052369852614585 absolute error = 1.3e-29 relative error = 1.0116745447439462242811911624264e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.666 y[1] (analytic) = 12.851763815885823986610793492213 y[1] (numeric) = 12.851763815885823986610793492226 absolute error = 1.3e-29 relative error = 1.0115343065930719991168885568366e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.667 y[1] (analytic) = 12.8535455721557446966926600209 y[1] (numeric) = 12.853545572155744696692660020913 absolute error = 1.3e-29 relative error = 1.0113940878819860564575800881371e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.668 y[1] (analytic) = 12.855327575446654189468333421578 y[1] (numeric) = 12.855327575446654189468333421592 absolute error = 1.4e-29 relative error = 1.0890426492701470143746061619287e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.669 y[1] (analytic) = 12.857109825792799219069844985989 y[1] (numeric) = 12.857109825792799219069844986003 absolute error = 1.4e-29 relative error = 1.0888916863659696957902755297046e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.67 y[1] (analytic) = 12.858892323228431287566534327305 y[1] (numeric) = 12.858892323228431287566534327319 absolute error = 1.4e-29 relative error = 1.0887407443882441125199899043027e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.671 y[1] (analytic) = 12.860675067787806645623298877207 y[1] (numeric) = 12.860675067787806645623298877221 absolute error = 1.4e-29 relative error = 1.0885898233340694434341023712102e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.672 y[1] (analytic) = 12.862458059505186293158934642034 y[1] (numeric) = 12.862458059505186293158934642048 absolute error = 1.4e-29 relative error = 1.0884389232005452695142906035330e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.673 y[1] (analytic) = 12.864241298414835980004568230673 y[1] (numeric) = 12.864241298414835980004568230686 absolute error = 1.3e-29 relative error = 1.0105531837001450328122579552939e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.674 y[1] (analytic) = 12.866024784551026206562180166832 y[1] (numeric) = 12.866024784551026206562180166846 absolute error = 1.4e-29 relative error = 1.0881371856838487413217921070039e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.675 y[1] (analytic) = 12.867808517948032224463219498367 y[1] (numeric) = 12.86780851794803222446321949838 absolute error = 1.3e-29 relative error = 1.0102730377023863048483528107484e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.676 y[1] (analytic) = 12.869592498640134037227309716292 y[1] (numeric) = 12.869592498640134037227309716305 absolute error = 1.3e-29 relative error = 1.0101329938281764147684251177773e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.677 y[1] (analytic) = 12.871376726661616400921045996168 y[1] (numeric) = 12.87137672666161640092104599618 absolute error = 1.2e-29 relative error = 9.3230120249245311645869231876459e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.678 y[1] (analytic) = 12.873161202046768824816883774497 y[1] (numeric) = 12.873161202046768824816883774509 absolute error = 1.2e-29 relative error = 9.3217196706058955266187098081385e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.679 y[1] (analytic) = 12.874945924829885572052118672813 y[1] (numeric) = 12.874945924829885572052118672825 absolute error = 1.2e-29 relative error = 9.3204274954331926012819600918416e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.68 y[1] (analytic) = 12.876730895045265660287957782109 y[1] (numeric) = 12.876730895045265660287957782122 absolute error = 1.3e-29 relative error = 1.0095730124330054977811445049091e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.681 y[1] (analytic) = 12.878516112727212862368682320289 y[1] (numeric) = 12.878516112727212862368682320301 absolute error = 1.2e-29 relative error = 9.3178436824262556177169970620113e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.682 y[1] (analytic) = 12.880301577910035706980901675286 y[1] (numeric) = 12.880301577910035706980901675298 absolute error = 1.2e-29 relative error = 9.3165520445423655295459021401785e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.683 y[1] (analytic) = 12.882087290628047479312898846551 y[1] (numeric) = 12.882087290628047479312898846564 absolute error = 1.3e-29 relative error = 1.0091532301180520767596729768087e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.684 y[1] (analytic) = 12.883873250915566221714067297552 y[1] (numeric) = 12.883873250915566221714067297565 absolute error = 1.3e-29 relative error = 1.0090133414713763554985272725024e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.685 y[1] (analytic) = 12.885659458806914734354439231968 y[1] (numeric) = 12.885659458806914734354439231981 absolute error = 1.3e-29 relative error = 1.0088734722160407050367319109169e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.686 y[1] (analytic) = 12.887445914336420575884305306261 y[1] (numeric) = 12.887445914336420575884305306275 absolute error = 1.4e-29 relative error = 1.0863285163762307243248202757901e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.687 y[1] (analytic) = 12.889232617538416064093925791294 y[1] (numeric) = 12.889232617538416064093925791308 absolute error = 1.4e-29 relative error = 1.0861779297046869608981247888536e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.688 y[1] (analytic) = 12.891019568447238276573333195667 y[1] (numeric) = 12.891019568447238276573333195681 absolute error = 1.4e-29 relative error = 1.0860273639074416300237948442378e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.689 y[1] (analytic) = 12.89280676709722905137222636347 y[1] (numeric) = 12.892806767097229051372226363484 absolute error = 1.4e-29 relative error = 1.0858768189816011400540156839214e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.69 y[1] (analytic) = 12.894594213522734987659956059115 y[1] (numeric) = 12.894594213522734987659956059129 absolute error = 1.4e-29 relative error = 1.0857262949242723004501476130449e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 2.691 y[1] (analytic) = 12.896381907758107446385602051947 y[1] (numeric) = 12.896381907758107446385602051961 absolute error = 1.4e-29 relative error = 1.0855757917325623217271243152557e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.692 y[1] (analytic) = 12.898169849837702550938141713305 y[1] (numeric) = 12.898169849837702550938141713319 absolute error = 1.4e-29 relative error = 1.0854253094035788153978588755508e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.693 y[1] (analytic) = 12.899958039795881187806710138733 y[1] (numeric) = 12.899958039795881187806710138747 absolute error = 1.4e-29 relative error = 1.0852748479344297939176575095453e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.694 y[1] (analytic) = 12.90174647766700900724095180802 y[1] (numeric) = 12.901746477667009007240951808034 absolute error = 1.4e-29 relative error = 1.0851244073222236706286409981013e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.695 y[1] (analytic) = 12.903535163485456423911463795766 y[1] (numeric) = 12.90353516348545642391146379578 memory used=213.6MB, alloc=4.3MB, time=10.55 absolute error = 1.4e-29 relative error = 1.0849739875640692597041738262474e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.696 y[1] (analytic) = 12.905324097285598617570330545166 y[1] (numeric) = 12.90532409728559861757033054518 absolute error = 1.4e-29 relative error = 1.0848235886570757760933010253215e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.697 y[1] (analytic) = 12.907113279101815533711750217701 y[1] (numeric) = 12.907113279101815533711750217715 absolute error = 1.4e-29 relative error = 1.0846732105983528354651927172690e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.698 y[1] (analytic) = 12.908902708968491884232752631439 y[1] (numeric) = 12.908902708968491884232752631452 absolute error = 1.3e-29 relative error = 1.0070569352860811359997680485983e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 1.899e+16 Order of pole = 3.607e+29 TOP MAIN SOLVE Loop x[1] = 2.699 y[1] (analytic) = 12.910692386920017148094008800633 y[1] (numeric) = 12.910692386920017148094008800647 absolute error = 1.4e-29 relative error = 1.0843725170141590491012966929397e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.7 y[1] (analytic) = 12.912482312990785571980732089339 y[1] (numeric) = 12.912482312990785571980732089353 absolute error = 1.4e-29 relative error = 1.0842222014829094378045833810979e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.701 y[1] (analytic) = 12.914272487215196170963670991719 y[1] (numeric) = 12.914272487215196170963670991733 absolute error = 1.4e-29 relative error = 1.0840719067883728382577263576029e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.702 y[1] (analytic) = 12.916062909627652729160193551769 y[1] (numeric) = 12.916062909627652729160193551783 absolute error = 1.4e-29 relative error = 1.0839216329276608688974588626194e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.703 y[1] (analytic) = 12.917853580262563800395463435149 y[1] (numeric) = 12.917853580262563800395463435162 absolute error = 1.3e-29 relative error = 1.0063591384766080093655061654643e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.704 y[1] (analytic) = 12.919644499154342708863707665837 y[1] (numeric) = 12.91964449915434270886370766585 absolute error = 1.3e-29 relative error = 1.0062196371464336323369730536208e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.705 y[1] (analytic) = 12.921435666337407549789576040313 y[1] (numeric) = 12.921435666337407549789576040326 absolute error = 1.3e-29 relative error = 1.0060801551539095795052037885422e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.706 y[1] (analytic) = 12.923227081846181190089592231977 y[1] (numeric) = 12.92322708184618119008959223199 absolute error = 1.3e-29 relative error = 1.0059406924963552691180855027365e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.707 y[1] (analytic) = 12.925018745715091269033696598519 y[1] (numeric) = 12.925018745715091269033696598531 absolute error = 1.2e-29 relative error = 9.2843192231177583785103267211774e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.708 y[1] (analytic) = 12.926810657978570198906880704949 y[1] (numeric) = 12.926810657978570198906880704962 absolute error = 1.3e-29 relative error = 1.0056618251754354065267421271353e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.709 y[1] (analytic) = 12.928602818671055165670913575015 y[1] (numeric) = 12.928602818671055165670913575028 absolute error = 1.3e-29 relative error = 1.0055224205067105485211643638688e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.71 y[1] (analytic) = 12.930395227826988129626159683703 y[1] (numeric) = 12.930395227826988129626159683717 absolute error = 1.4e-29 relative error = 1.0827201917131781151971930976064e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.711 y[1] (analytic) = 12.932187885480815826073488703567 y[1] (numeric) = 12.932187885480815826073488703581 absolute error = 1.4e-29 relative error = 1.0825701052269766927046797704688e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.712 y[1] (analytic) = 12.93398079166698976597627701758 y[1] (numeric) = 12.933980791666989765976277017594 absolute error = 1.4e-29 relative error = 1.0824200395457380968933399455847e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.713 y[1] (analytic) = 12.935773946419966236622501011255 y[1] (numeric) = 12.935773946419966236622501011269 absolute error = 1.4e-29 relative error = 1.0822699946665783474050840413712e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.714 y[1] (analytic) = 12.937567349774206302286922156742 y[1] (numeric) = 12.937567349774206302286922156755 absolute error = 1.3e-29 relative error = 1.0048256869732843019687763431423e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.715 y[1] (analytic) = 12.939361001764175804893363901631 y[1] (numeric) = 12.939361001764175804893363901644 absolute error = 1.3e-29 relative error = 1.0046863982098927887376082689133e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.716 y[1] (analytic) = 12.941154902424345364677080375199 y[1] (numeric) = 12.941154902424345364677080375212 absolute error = 1.3e-29 relative error = 1.0045471287546856289313025420460e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.717 y[1] (analytic) = 12.942949051789190380847216924814 y[1] (numeric) = 12.942949051789190380847216924827 absolute error = 1.3e-29 relative error = 1.0044078786049863253655316902027e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.718 y[1] (analytic) = 12.944743449893191032249362495239 y[1] (numeric) = 12.944743449893191032249362495252 absolute error = 1.3e-29 relative error = 1.0042686477581187518715462253223e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.719 y[1] (analytic) = 12.946538096770832278028193863566 y[1] (numeric) = 12.946538096770832278028193863579 absolute error = 1.3e-29 relative error = 1.0041294362114071532447445282018e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.72 y[1] (analytic) = 12.948332992456603858290211742513 y[1] (numeric) = 12.948332992456603858290211742526 absolute error = 1.3e-29 relative error = 1.0039902439621761451932498623111e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 31.62 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.721 y[1] (analytic) = 12.950128136985000294766568764825 y[1] (numeric) = 12.950128136985000294766568764837 absolute error = 1.2e-29 relative error = 9.2663175785330835164907186078887e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.722 y[1] (analytic) = 12.951923530390520891475989361506 y[1] (numeric) = 12.951923530390520891475989361518 absolute error = 1.2e-29 relative error = 9.2650330831888266268044098869735e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.723 y[1] (analytic) = 12.953719172707669735387781546643 y[1] (numeric) = 12.953719172707669735387781546655 absolute error = 1.2e-29 relative error = 9.2637487659010927770741304607066e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.724 y[1] (analytic) = 12.955515063970955697084940621537 y[1] (numeric) = 12.95551506397095569708494062155 absolute error = 1.3e-29 relative error = 1.0034336678865633119690891847231e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.725 y[1] (analytic) = 12.957311204214892431427344810913 y[1] (numeric) = 12.957311204214892431427344810925 absolute error = 1.2e-29 relative error = 9.2611806653964689608858944332795e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.3MB, time=10.74 x[1] = 2.726 y[1] (analytic) = 12.959107593473998378215042843924 y[1] (numeric) = 12.959107593473998378215042843936 absolute error = 1.2e-29 relative error = 9.2598968821302249292492421425322e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.727 y[1] (analytic) = 12.960904231782796762851633492729 y[1] (numeric) = 12.960904231782796762851633492742 absolute error = 1.3e-29 relative error = 1.0030164383223612123451296673769e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.728 y[1] (analytic) = 12.962701119175815597007737081366 y[1] (numeric) = 12.962701119175815597007737081378 absolute error = 1.2e-29 relative error = 9.2573298494465131103222203717666e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.729 y[1] (analytic) = 12.964498255687587679284558977681 y[1] (numeric) = 12.964498255687587679284558977693 absolute error = 1.2e-29 relative error = 9.2560465999797117793642078262349e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.73 y[1] (analytic) = 12.966295641352650595877545081077 y[1] (numeric) = 12.966295641352650595877545081089 absolute error = 1.2e-29 relative error = 9.2547635283967301703918569088009e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.731 y[1] (analytic) = 12.968093276205546721240129318814 y[1] (numeric) = 12.968093276205546721240129318826 absolute error = 1.2e-29 relative error = 9.2534806346729100590010247570016e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.732 y[1] (analytic) = 12.969891160280823218747573163637 y[1] (numeric) = 12.969891160280823218747573163648 absolute error = 1.1e-29 relative error = 8.4811814255516302523308499481437e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.733 y[1] (analytic) = 12.971689293613032041360897185475 y[1] (numeric) = 12.971689293613032041360897185486 absolute error = 1.1e-29 relative error = 8.4800057656454603113452931491919e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.734 y[1] (analytic) = 12.973487676236729932290904649983 y[1] (numeric) = 12.973487676236729932290904649994 absolute error = 1.1e-29 relative error = 8.4788302687090637572809322995014e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.735 y[1] (analytic) = 12.975286308186478425662297176678 y[1] (numeric) = 12.975286308186478425662297176689 absolute error = 1.1e-29 relative error = 8.4776549347198497482638544698995e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.736 y[1] (analytic) = 12.977085189496843847177882469434 y[1] (numeric) = 12.977085189496843847177882469445 absolute error = 1.1e-29 relative error = 8.4764797636552305739587502762980e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.737 y[1] (analytic) = 12.97888432020239731478287413211 y[1] (numeric) = 12.97888432020239731478287413212 absolute error = 1.0e-29 relative error = 7.7048225049932924137589277624273e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.738 y[1] (analytic) = 12.98068370033771473932928358206 y[1] (numeric) = 12.980683700337714739329283582071 absolute error = 1.1e-29 relative error = 8.4741299102094415432317431139791e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.739 y[1] (analytic) = 12.982483329937376825240404074318 y[1] (numeric) = 12.982483329937376825240404074329 absolute error = 1.1e-29 relative error = 8.4729552277831119199256998947006e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.74 y[1] (analytic) = 12.984283209035969071175386849198 y[1] (numeric) = 12.984283209035969071175386849208 absolute error = 1.0e-29 relative error = 7.7016188256282341788140581496513e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.741 y[1] (analytic) = 12.986083337668081770693909416107 y[1] (numeric) = 12.986083337668081770693909416118 absolute error = 1.1e-29 relative error = 8.4706063514107065143885469035272e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.742 y[1] (analytic) = 12.987883715868310012920935986336 y[1] (numeric) = 12.987883715868310012920935986347 absolute error = 1.1e-29 relative error = 8.4694321574194897427874062325486e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.743 y[1] (analytic) = 12.989684343671253683211570067594 y[1] (numeric) = 12.989684343671253683211570067605 absolute error = 1.1e-29 relative error = 8.4682581261948414801757129916631e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.744 y[1] (analytic) = 12.991485221111517463815999233079 y[1] (numeric) = 12.99148522111151746381599923309 absolute error = 1.1e-29 relative error = 8.4670842577141990529046794411800e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.745 y[1] (analytic) = 12.993286348223710834544532077852 y[1] (numeric) = 12.993286348223710834544532077864 absolute error = 1.2e-29 relative error = 9.2355387839509122708648511404850e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.746 y[1] (analytic) = 12.995087725042448073432727375308 y[1] (numeric) = 12.995087725042448073432727375319 absolute error = 1.1e-29 relative error = 8.4647370088946966475255335637883e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.747 y[1] (analytic) = 12.996889351602348257406615446502 y[1] (numeric) = 12.996889351602348257406615446514 absolute error = 1.2e-29 relative error = 9.2329785038298839547876466258948e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.748 y[1] (analytic) = 12.998691227938035262948011755155 y[1] (numeric) = 12.998691227938035262948011755167 absolute error = 1.2e-29 relative error = 9.2316986299424112898197062743114e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.749 y[1] (analytic) = 13.00049335408413776675992274108 y[1] (numeric) = 13.000493354084137766759922741091 absolute error = 1.1e-29 relative error = 8.4612173556815997790496352344415e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.75 y[1] (analytic) = 13.002295730075289246432043904846 y[1] (numeric) = 13.002295730075289246432043904857 absolute error = 1.1e-29 relative error = 8.4600444631913513343527633915205e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.751 y[1] (analytic) = 13.004098355946127981106350156465 y[1] (numeric) = 13.004098355946127981106350156476 absolute error = 1.1e-29 relative error = 8.4588717332872575589303403250359e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.752 y[1] (analytic) = 13.005901231731297052142778440885 y[1] (numeric) = 13.005901231731297052142778440897 absolute error = 1.2e-29 relative error = 9.2265809083055790415297281058515e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.753 y[1] (analytic) = 13.007704357465444343785002653089 y[1] (numeric) = 13.0077043574654443437850026531 absolute error = 1.1e-29 relative error = 8.4565267611473864812222408376852e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.754 y[1] (analytic) = 13.009507733183222543826300855586 y[1] (numeric) = 13.009507733183222543826300855597 absolute error = 1.1e-29 relative error = 8.4553545188665432215781798943876e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.755 y[1] (analytic) = 13.011311358919289144275514811113 y[1] (numeric) = 13.011311358919289144275514811124 absolute error = 1.1e-29 relative error = 8.4541824390817227156257156797561e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.756 y[1] (analytic) = 13.013115234708306442023101843314 y[1] (numeric) = 13.013115234708306442023101843325 absolute error = 1.1e-29 relative error = 8.4530105217703997927219895436526e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=221.2MB, alloc=4.3MB, time=10.94 TOP MAIN SOLVE Loop x[1] = 2.757 y[1] (analytic) = 13.014919360584941539507279038222 y[1] (numeric) = 13.014919360584941539507279038234 absolute error = 1.2e-29 relative error = 9.2201877457200571687193581754690e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.758 y[1] (analytic) = 13.016723736583866345380259799342 y[1] (numeric) = 13.016723736583866345380259799353 absolute error = 1.1e-29 relative error = 8.4506671744781616252328295926802e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.759 y[1] (analytic) = 13.018528362739757575174582769118 y[1] (numeric) = 13.018528362739757575174582769129 absolute error = 1.1e-29 relative error = 8.4494957444522116498067568477626e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.76 y[1] (analytic) = 13.020333239087296751969533129624 y[1] (numeric) = 13.020333239087296751969533129635 absolute error = 1.1e-29 relative error = 8.4483244768096897948826614333560e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.761 y[1] (analytic) = 13.022138365661170207057656295259 y[1] (numeric) = 13.022138365661170207057656295269 absolute error = 1.0e-29 relative error = 7.6792303377528059069693767174116e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.762 y[1] (analytic) = 13.02394374249606908061136401026 y[1] (numeric) = 13.023943742496069080611364010271 absolute error = 1.1e-29 relative error = 8.4459824285848953156351982951272e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.763 y[1] (analytic) = 13.025749369626689322349632863863 y[1] (numeric) = 13.025749369626689322349632863873 absolute error = 1.0e-29 relative error = 7.6771014981432844782781597683059e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.764 y[1] (analytic) = 13.027555247087731692204795235887 y[1] (numeric) = 13.027555247087731692204795235899 absolute error = 1.2e-29 relative error = 9.2112447595895335917840193941608e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.765 y[1] (analytic) = 13.029361374913901760989422685609 y[1] (numeric) = 13.02936137491390176098942268562 absolute error = 1.1e-29 relative error = 8.4424705735607768304209922575783e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.766 y[1] (analytic) = 13.031167753139909911063301796679 y[1] (numeric) = 13.031167753139909911063301796691 absolute error = 1.2e-29 relative error = 9.2086912142686168082209223934425e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.767 y[1] (analytic) = 13.032974381800471337000502490966 y[1] (numeric) = 13.032974381800471337000502490977 absolute error = 1.1e-29 relative error = 8.4401301481576140094958439969282e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.768 y[1] (analytic) = 13.034781260930306046256538824088 y[1] (numeric) = 13.0347812609303060462565388241 absolute error = 1.2e-29 relative error = 9.2061383768426562614483734401914e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.769 y[1] (analytic) = 13.036588390564138859835622275501 y[1] (numeric) = 13.036588390564138859835622275513 absolute error = 1.2e-29 relative error = 9.2048622235289565294217579874924e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.77 y[1] (analytic) = 13.038395770736699412958007545932 y[1] (numeric) = 13.038395770736699412958007545943 absolute error = 1.1e-29 relative error = 8.4366207265224582505077268324001e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.771 y[1] (analytic) = 13.040203401482722155727430875001 y[1] (numeric) = 13.040203401482722155727430875012 absolute error = 1.1e-29 relative error = 8.4354512436127008224071825882762e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.772 y[1] (analytic) = 13.042011282836946353798640891861 y[1] (numeric) = 13.042011282836946353798640891872 absolute error = 1.1e-29 relative error = 8.4342819228164626040835663569476e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.773 y[1] (analytic) = 13.043819414834116089045022011666 y[1] (numeric) = 13.043819414834116089045022011678 absolute error = 1.2e-29 relative error = 9.1997593790304779426937746665551e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.774 y[1] (analytic) = 13.045627797508980260226310390723 y[1] (numeric) = 13.045627797508980260226310390734 absolute error = 1.1e-29 relative error = 8.4319437674746583195820677434368e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.775 y[1] (analytic) = 13.04743643089629258365640245313 y[1] (numeric) = 13.047436430896292583656402453141 absolute error = 1.1e-29 relative error = 8.4307749328841573020930691489253e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.776 y[1] (analytic) = 13.04924531503081159387125600177 y[1] (numeric) = 13.049245315030811593871256001781 absolute error = 1.1e-29 relative error = 8.4296062603173055908952008296594e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.777 y[1] (analytic) = 13.051054449947300644296883926463 y[1] (numeric) = 13.051054449947300644296883926474 absolute error = 1.1e-29 relative error = 8.4284377497516434956713963505890e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.778 y[1] (analytic) = 13.052863835680527907917440522133 y[1] (numeric) = 13.052863835680527907917440522144 absolute error = 1.1e-29 relative error = 8.4272694011647144394629866358902e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.779 y[1] (analytic) = 13.054673472265266377943400429828 y[1] (numeric) = 13.054673472265266377943400429839 absolute error = 1.1e-29 relative error = 8.4261012145340649582381267649894e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.78 y[1] (analytic) = 13.056483359736293868479830213423 y[1] (numeric) = 13.056483359736293868479830213434 absolute error = 1.1e-29 relative error = 8.4249331898372447004602825931945e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.781 y[1] (analytic) = 13.058293498128393015194752584865 y[1] (numeric) = 13.058293498128393015194752584876 absolute error = 1.1e-29 relative error = 8.4237653270518064266567771886318e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.782 y[1] (analytic) = 13.06010388747635127598760329079 y[1] (numeric) = 13.060103887476351275987603290801 absolute error = 1.1e-29 relative error = 8.4225976261553060089873970772046e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.783 y[1] (analytic) = 13.061914527814960931657780673369 y[1] (numeric) = 13.061914527814960931657780673379 absolute error = 1.0e-29 relative error = 7.6558455337502749371027802611614e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.784 y[1] (analytic) = 13.063725419179019086573287918221 y[1] (numeric) = 13.063725419179019086573287918232 absolute error = 1.1e-29 relative error = 8.4202627099393577862645321858032e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.785 y[1] (analytic) = 13.065536561603327669339468002261 y[1] (numeric) = 13.065536561603327669339468002272 absolute error = 1.1e-29 relative error = 8.4190954945750372798112310975910e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.786 y[1] (analytic) = 13.067347955122693433467831354308 y[1] (numeric) = 13.067347955122693433467831354319 absolute error = 1.1e-29 relative error = 8.4179284410099092258300536994493e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.787 y[1] (analytic) = 13.069159599771927958044976241331 memory used=225.0MB, alloc=4.3MB, time=11.13 y[1] (numeric) = 13.069159599771927958044976241342 absolute error = 1.1e-29 relative error = 8.4167615492215450481742901808980e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.788 y[1] (analytic) = 13.070971495585847648401601893178 y[1] (numeric) = 13.070971495585847648401601893189 absolute error = 1.1e-29 relative error = 8.4155948191875192797425871631742e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.789 y[1] (analytic) = 13.072783642599273736781614378645 y[1] (numeric) = 13.072783642599273736781614378656 absolute error = 1.1e-29 relative error = 8.4144282508854095620479723682474e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.79 y[1] (analytic) = 13.074596040847032283011325245743 y[1] (numeric) = 13.074596040847032283011325245754 absolute error = 1.1e-29 relative error = 8.4132618442927966447869390295614e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.791 y[1] (analytic) = 13.076408690363954175168742939028 y[1] (numeric) = 13.076408690363954175168742939039 absolute error = 1.1e-29 relative error = 8.4120955993872643854085900362202e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.792 y[1] (analytic) = 13.078221591184875130252957006857 y[1] (numeric) = 13.078221591184875130252957006868 absolute error = 1.1e-29 relative error = 8.4109295161463997486838418023361e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.793 y[1] (analytic) = 13.080034743344635694853615111426 y[1] (numeric) = 13.080034743344635694853615111436 absolute error = 1.0e-29 relative error = 7.6452396314070843693406253211520e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.794 y[1] (analytic) = 13.081848146878081245820492854462 y[1] (numeric) = 13.081848146878081245820492854473 absolute error = 1.1e-29 relative error = 8.4085978345690367363035221204614e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.795 y[1] (analytic) = 13.083661801820061990933156431447 y[1] (numeric) = 13.083661801820061990933156431458 absolute error = 1.1e-29 relative error = 8.4074322361877278229225219366248e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.796 y[1] (analytic) = 13.085475708205432969570718127217 y[1] (numeric) = 13.085475708205432969570718127229 absolute error = 1.2e-29 relative error = 9.1704728720525077700542807886790e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.797 y[1] (analytic) = 13.087289866069054053381684665838 y[1] (numeric) = 13.08728986606905405338168466585 absolute error = 1.2e-29 relative error = 9.1692016626849295964785749383447e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.798 y[1] (analytic) = 13.089104275445789946953898427609 y[1] (numeric) = 13.08910427544578994695389842762 absolute error = 1.1e-29 relative error = 8.4039364104044934452477532349153e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.799 y[1] (analytic) = 13.090918936370510188484571546076 y[1] (numeric) = 13.090918936370510188484571546088 absolute error = 1.2e-29 relative error = 9.1666597725698161148472043131607e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.8 y[1] (analytic) = 13.092733848878089150450412897947 y[1] (numeric) = 13.092733848878089150450412897958 absolute error = 1.1e-29 relative error = 8.4016066674589779180358407155473e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.801 y[1] (analytic) = 13.094549013003406040277847998749 y[1] (numeric) = 13.09454901300340604027784799876 absolute error = 1.1e-29 relative error = 8.4004420381920477948167263352096e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.802 y[1] (analytic) = 13.096364428781344901013331817157 y[1] (numeric) = 13.096364428781344901013331817168 absolute error = 1.1e-29 relative error = 8.3992775703658257499276589092807e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.803 y[1] (analytic) = 13.098180096246794611993754520836 y[1] (numeric) = 13.098180096246794611993754520847 absolute error = 1.1e-29 relative error = 8.3981132639579329002640321160358e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.804 y[1] (analytic) = 13.099996015434648889516940166701 y[1] (numeric) = 13.099996015434648889516940166711 absolute error = 1.0e-29 relative error = 7.6335901081327213317074137648584e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.805 y[1] (analytic) = 13.101812186379806287512238348471 y[1] (numeric) = 13.101812186379806287512238348482 absolute error = 1.1e-29 relative error = 8.3957851353076347645492322221796e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.806 y[1] (analytic) = 13.103628609117170198211208814421 y[1] (numeric) = 13.103628609117170198211208814432 absolute error = 1.1e-29 relative error = 8.3946213130204872213534017994833e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.807 y[1] (analytic) = 13.105445283681648852818399068194 y[1] (numeric) = 13.105445283681648852818399068205 absolute error = 1.1e-29 relative error = 8.3934576520621843582338352721368e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.808 y[1] (analytic) = 13.107262210108155322182214965589 y[1] (numeric) = 13.1072622101081553221822149656 absolute error = 1.1e-29 relative error = 8.3922941524103627985708953437645e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.809 y[1] (analytic) = 13.109079388431607517465884320206 y[1] (numeric) = 13.109079388431607517465884320217 absolute error = 1.1e-29 relative error = 8.3911308140426622657523539541135e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.81 y[1] (analytic) = 13.110896818686928190818513530845 y[1] (numeric) = 13.110896818686928190818513530856 absolute error = 1.1e-29 relative error = 8.3899676369367255827436697867494e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.811 y[1] (analytic) = 13.112714500909044936046237243554 y[1] (numeric) = 13.112714500909044936046237243565 absolute error = 1.1e-29 relative error = 8.3888046210701986716583253448112e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 44.72 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.812 y[1] (analytic) = 13.114532435132890189283461061227 y[1] (numeric) = 13.114532435132890189283461061239 absolute error = 1.2e-29 relative error = 9.1501546542771606036307893671626e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.813 y[1] (analytic) = 13.116350621393401229664197313654 y[1] (numeric) = 13.116350621393401229664197313665 absolute error = 1.1e-29 relative error = 8.3864790729659733468741441125035e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.814 y[1] (analytic) = 13.118169059725520179993493900908 y[1] (numeric) = 13.11816905972552017999349390092 absolute error = 1.2e-29 relative error = 9.1476180443820897483013733407999e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.815 y[1] (analytic) = 13.119987750164194007418956223009 y[1] (numeric) = 13.119987750164194007418956223021 absolute error = 1.2e-29 relative error = 9.1463500031467806926669536880691e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.816 y[1] (analytic) = 13.121806692744374524102362208724 y[1] (numeric) = 13.121806692744374524102362208736 absolute error = 1.2e-29 relative error = 9.1450821376871289330438895733248e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.817 y[1] (analytic) = 13.123625887501018387891370456448 y[1] (numeric) = 13.123625887501018387891370456461 absolute error = 1.3e-29 relative error = 9.9057989853103325179848479739270e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=228.8MB, alloc=4.3MB, time=11.32 TOP MAIN SOLVE Loop x[1] = 2.818 y[1] (analytic) = 13.125445334469087102991321500058 y[1] (numeric) = 13.125445334469087102991321500071 absolute error = 1.3e-29 relative error = 9.9044258451637814404613900441918e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 31.62 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 2.819 y[1] (analytic) = 13.127265033683547020637132212648 y[1] (numeric) = 13.127265033683547020637132212661 absolute error = 1.3e-29 relative error = 9.9030528953616806053072088833219e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.82 y[1] (analytic) = 13.129084985179369339765283361069 y[1] (numeric) = 13.129084985179369339765283361082 absolute error = 1.3e-29 relative error = 9.9016801358776444976649380464774e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.821 y[1] (analytic) = 13.130905188991530107685900324179 y[1] (numeric) = 13.130905188991530107685900324193 absolute error = 1.4e-29 relative error = 1.0661869687199544434096785080077e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.822 y[1] (analytic) = 13.132725645155010220754926987727 y[1] (numeric) = 13.13272564515501022075492698774 absolute error = 1.3e-29 relative error = 9.8989351877582426927572414211036e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.823 y[1] (analytic) = 13.134546353704795425046392828772 y[1] (numeric) = 13.134546353704795425046392828786 absolute error = 1.4e-29 relative error = 1.0658913998998595347797988637956e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.824 y[1] (analytic) = 13.136367314675876317024773202588 y[1] (numeric) = 13.136367314675876317024773202602 absolute error = 1.4e-29 relative error = 1.0657436462178762360315124290361e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.825 y[1] (analytic) = 13.13818852810324834421744284494 y[1] (numeric) = 13.138188528103248344217442844954 absolute error = 1.4e-29 relative error = 1.0655959130174828456667790211401e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.826 y[1] (analytic) = 13.140009994021911805887222602682 y[1] (numeric) = 13.140009994021911805887222602696 absolute error = 1.4e-29 relative error = 1.0654482002958402092256602648772e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.827 y[1] (analytic) = 13.141831712466871853705019405586 y[1] (numeric) = 13.1418317124668718537050194056 absolute error = 1.4e-29 relative error = 1.0653005080501095658113192554022e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.828 y[1] (analytic) = 13.143653683473138492422559492339 y[1] (numeric) = 13.143653683473138492422559492354 absolute error = 1.5e-29 relative error = 1.1412351817258420157522838310930e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.829 y[1] (analytic) = 13.145475907075726580545214903634 y[1] (numeric) = 13.145475907075726580545214903648 absolute error = 1.4e-29 relative error = 1.0650051849750311819638038764465e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.83 y[1] (analytic) = 13.147298383309655831004923255274 y[1] (numeric) = 13.147298383309655831004923255288 absolute error = 1.4e-29 relative error = 1.0648575541400078870615000175140e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.831 y[1] (analytic) = 13.149121112209950811833200804242 y[1] (numeric) = 13.149121112209950811833200804256 absolute error = 1.4e-29 relative error = 1.0647099437695454761386414362772e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.832 y[1] (analytic) = 13.150944093811640946834248820657 y[1] (numeric) = 13.150944093811640946834248820671 absolute error = 1.4e-29 relative error = 1.0645623538608071552957150754673e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.833 y[1] (analytic) = 13.152767328149760516258153278552 y[1] (numeric) = 13.152767328149760516258153278566 absolute error = 1.4e-29 relative error = 1.0644147844109565238690888692498e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.834 y[1] (analytic) = 13.154590815259348657474177878416 y[1] (numeric) = 13.15459081525934865747417787843 absolute error = 1.4e-29 relative error = 1.0642672354171575743765014532358e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.835 y[1] (analytic) = 13.156414555175449365644150414441 y[1] (numeric) = 13.156414555175449365644150414455 absolute error = 1.4e-29 relative error = 1.0641197068765746924625594307014e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.836 y[1] (analytic) = 13.158238547933111494395942499407 y[1] (numeric) = 13.158238547933111494395942499421 absolute error = 1.4e-29 relative error = 1.0639721987863726568442421939658e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.837 y[1] (analytic) = 13.160062793567388756497042660159 y[1] (numeric) = 13.160062793567388756497042660173 absolute error = 1.4e-29 relative error = 1.0638247111437166392564142998817e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.838 y[1] (analytic) = 13.161887292113339724528222816613 y[1] (numeric) = 13.161887292113339724528222816626 absolute error = 1.3e-29 relative error = 9.8770029794964561836896358422059e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.839 y[1] (analytic) = 13.163712043606027831557298157234 y[1] (numeric) = 13.163712043606027831557298157247 absolute error = 1.3e-29 relative error = 9.8756338310472635916893501930793e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.84 y[1] (analytic) = 13.165537048080521371812980423952 y[1] (numeric) = 13.165537048080521371812980423964 absolute error = 1.2e-29 relative error = 9.1147060360515626241322377670640e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.841 y[1] (analytic) = 13.167362305571893501358824619441 y[1] (numeric) = 13.167362305571893501358824619454 absolute error = 1.3e-29 relative error = 9.8728961034959351244812438640705e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.842 y[1] (analytic) = 13.16918781611522223876726914974 y[1] (numeric) = 13.169187816115222238767269149753 absolute error = 1.3e-29 relative error = 9.8715275243411852710562549871420e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.843 y[1] (analytic) = 13.171013579745590465793769415142 y[1] (numeric) = 13.171013579745590465793769415155 absolute error = 1.3e-29 relative error = 9.8701591348986417633054278028667e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.844 y[1] (analytic) = 13.172839596498085928051024862332 y[1] (numeric) = 13.172839596498085928051024862345 absolute error = 1.3e-29 relative error = 9.8687909351420067279112909702432e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.845 y[1] (analytic) = 13.174665866407801235683299510713 y[1] (numeric) = 13.174665866407801235683299510726 absolute error = 1.3e-29 relative error = 9.8674229250449859369630359206612e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.846 y[1] (analytic) = 13.17649238950983386404083596589 y[1] (numeric) = 13.176492389509833864040835965903 absolute error = 1.3e-29 relative error = 9.8660551045812888074511912151553e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.847 y[1] (analytic) = 13.178319165839286154354362933269 y[1] (numeric) = 13.178319165839286154354362933282 absolute error = 1.3e-29 relative error = 9.8646874737246284007623669498123e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.848 memory used=232.7MB, alloc=4.4MB, time=11.51 y[1] (analytic) = 13.180146195431265314409696244732 y[1] (numeric) = 13.180146195431265314409696244745 absolute error = 1.3e-29 relative error = 9.8633200324487214221740691996234e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.849 y[1] (analytic) = 13.181973478320883419222433411353 y[1] (numeric) = 13.181973478320883419222433411366 absolute error = 1.3e-29 relative error = 9.8619527807272882203495844910724e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.85 y[1] (analytic) = 13.183801014543257411712741715131 y[1] (numeric) = 13.183801014543257411712741715143 absolute error = 1.2e-29 relative error = 9.1020791248006641109227085788410e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.851 y[1] (analytic) = 13.185628804133509103380239852687 y[1] (numeric) = 13.185628804133509103380239852699 absolute error = 1.2e-29 relative error = 9.1008173961625317743482149427077e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.852 y[1] (analytic) = 13.187456847126765174978973143923 y[1] (numeric) = 13.187456847126765174978973143935 absolute error = 1.2e-29 relative error = 9.0995558424250056020982600294030e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.853 y[1] (analytic) = 13.189285143558157177192482318585 y[1] (numeric) = 13.189285143558157177192482318597 absolute error = 1.2e-29 relative error = 9.0982944635638409023174468788698e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.854 y[1] (analytic) = 13.191113693462821531308965893732 y[1] (numeric) = 13.191113693462821531308965893744 absolute error = 1.2e-29 relative error = 9.0970332595547963439453812132611e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.855 y[1] (analytic) = 13.19294249687589952989653615506 y[1] (numeric) = 13.192942496875899529896536155072 absolute error = 1.2e-29 relative error = 9.0957722303736339562507986134241e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.856 y[1] (analytic) = 13.194771553832537337478568755081 y[1] (numeric) = 13.194771553832537337478568755093 absolute error = 1.2e-29 relative error = 9.0945113759961191283657562745873e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.857 y[1] (analytic) = 13.19660086436788599120914594112 y[1] (numeric) = 13.196600864367885991209145941132 absolute error = 1.2e-29 relative error = 9.0932506963980206088198893323101e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.858 y[1] (analytic) = 13.198430428517101401548593426117 y[1] (numeric) = 13.198430428517101401548593426129 absolute error = 1.2e-29 relative error = 9.0919901915551105050747317497402e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.859 y[1] (analytic) = 13.200260246315344352939110915219 y[1] (numeric) = 13.200260246315344352939110915232 absolute error = 1.3e-29 relative error = 9.8482906832300946399796102369955e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.86 y[1] (analytic) = 13.202090317797780504480496301142 y[1] (numeric) = 13.202090317797780504480496301155 absolute error = 1.3e-29 relative error = 9.8469255148744574972567644882893e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.861 y[1] (analytic) = 13.203920642999580390605963541288 y[1] (numeric) = 13.2039206429995803906059635413 absolute error = 1.2e-29 relative error = 9.0882097253152821374598832323820e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.862 y[1] (analytic) = 13.205751221955919421758054229608 y[1] (numeric) = 13.20575122195591942175805422962 absolute error = 1.2e-29 relative error = 9.0869499192509139338757250073509e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.863 y[1] (analytic) = 13.207582054701977885064642876208 y[1] (numeric) = 13.20758205470197788506464287622 absolute error = 1.2e-29 relative error = 9.0856902878206450510841775895557e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.864 y[1] (analytic) = 13.209413141272940945015035907668 y[1] (numeric) = 13.209413141272940945015035907681 absolute error = 1.3e-29 relative error = 9.8414667335836233853927309162919e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.865 y[1] (analytic) = 13.211244481703998644136164401097 y[1] (numeric) = 13.211244481703998644136164401109 absolute error = 1.2e-29 relative error = 9.0831715487655776086619866463151e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.866 y[1] (analytic) = 13.213076076030345903668870564885 y[1] (numeric) = 13.213076076030345903668870564897 absolute error = 1.2e-29 relative error = 9.0819124410923736181425959203290e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.867 y[1] (analytic) = 13.214907924287182524244287979186 y[1] (numeric) = 13.214907924287182524244287979199 absolute error = 1.3e-29 relative error = 9.8373746336194962595170652086369e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.868 y[1] (analytic) = 13.216740026509713186560315609102 y[1] (numeric) = 13.216740026509713186560315609114 absolute error = 1.2e-29 relative error = 9.0793947493336366825407475916350e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.869 y[1] (analytic) = 13.218572382733147452058185603572 y[1] (numeric) = 13.218572382733147452058185603584 absolute error = 1.2e-29 relative error = 9.0781361651997184336367133210725e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.87 y[1] (analytic) = 13.220404992992699763599124892994 y[1] (numeric) = 13.220404992992699763599124893006 absolute error = 1.2e-29 relative error = 9.0768777555305157173407945847992e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.871 y[1] (analytic) = 13.222237857323589446141110598547 y[1] (numeric) = 13.222237857323589446141110598559 absolute error = 1.2e-29 relative error = 9.0756195203018442648817699573209e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.872 y[1] (analytic) = 13.224070975761040707415719266245 y[1] (numeric) = 13.224070975761040707415719266257 absolute error = 1.2e-29 relative error = 9.0743614594895231599075831901840e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.873 y[1] (analytic) = 13.225904348340282638605069938722 y[1] (numeric) = 13.225904348340282638605069938734 absolute error = 1.2e-29 relative error = 9.0731035730693748380206314456050e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.874 y[1] (analytic) = 13.227737975096549215018861077761 y[1] (numeric) = 13.227737975096549215018861077773 absolute error = 1.2e-29 relative error = 9.0718458610172250863131179483632e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.875 y[1] (analytic) = 13.229571856065079296771501350567 y[1] (numeric) = 13.22957185606507929677150135058 absolute error = 1.3e-29 relative error = 9.8264706835846449631443414676213e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.876 y[1] (analytic) = 13.23140599128111662945933429282 y[1] (numeric) = 13.231405991281116629459334292832 absolute error = 1.2e-29 relative error = 9.0693309599202411964668156756250e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.877 y[1] (analytic) = 13.233240380779909844837956861491 y[1] (numeric) = 13.233240380779909844837956861504 absolute error = 1.3e-29 relative error = 9.8237465850626650012622508072463e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.878 y[1] (analytic) = 13.235075024596712461499631890477 y[1] (numeric) = 13.235075024596712461499631890489 absolute error = 1.2e-29 relative error = 9.0668167560052447992498816869964e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=236.5MB, alloc=4.4MB, time=11.70 TOP MAIN SOLVE Loop x[1] = 2.879 y[1] (analytic) = 13.23690992276678288555079446203 y[1] (numeric) = 13.236909922766782885550794462042 absolute error = 1.2e-29 relative error = 9.0655599154305919744486204468374e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.88 y[1] (analytic) = 13.238745075325384411289652207042 y[1] (numeric) = 13.238745075325384411289652207054 absolute error = 1.2e-29 relative error = 9.0643032490789627976538070740214e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.881 y[1] (analytic) = 13.240580482307785221883879547177 y[1] (numeric) = 13.240580482307785221883879547189 absolute error = 1.2e-29 relative error = 9.0630467569262065033815707436677e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.882 y[1] (analytic) = 13.24241614374925839004840589189 y[1] (numeric) = 13.242416143749258390048405891902 absolute error = 1.2e-29 relative error = 9.0617904389481756739229858948560e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.883 y[1] (analytic) = 13.244252059685081878723297803354 y[1] (numeric) = 13.244252059685081878723297803366 absolute error = 1.2e-29 relative error = 9.0605342951207262388800042452189e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.884 y[1] (analytic) = 13.246088230150538541751735142324 y[1] (numeric) = 13.246088230150538541751735142336 absolute error = 1.2e-29 relative error = 9.0592783254197174747014511345599e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.885 y[1] (analytic) = 13.247924655180916124558081207968 y[1] (numeric) = 13.24792465518091612455808120798 absolute error = 1.2e-29 relative error = 9.0580225298210120042190861885752e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.886 y[1] (analytic) = 13.249761334811507264826046884692 y[1] (numeric) = 13.249761334811507264826046884704 absolute error = 1.2e-29 relative error = 9.0567669083004757961837282937701e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.887 y[1] (analytic) = 13.251598269077609493176948808997 y[1] (numeric) = 13.251598269077609493176948809009 absolute error = 1.2e-29 relative error = 9.0555114608339781648014448746494e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.888 y[1] (analytic) = 13.253435458014525233848061569402 y[1] (numeric) = 13.253435458014525233848061569414 absolute error = 1.2e-29 relative error = 9.0542561873973917692698054642692e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.889 y[1] (analytic) = 13.255272901657561805371063952464 y[1] (numeric) = 13.255272901657561805371063952476 absolute error = 1.2e-29 relative error = 9.0530010879665926133141995592421e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.89 y[1] (analytic) = 13.257110600042031421250579247946 y[1] (numeric) = 13.257110600042031421250579247957 absolute error = 1.1e-29 relative error = 8.2974339823076717076638671877534e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.891 y[1] (analytic) = 13.258948553203251190642809626154 y[1] (numeric) = 13.258948553203251190642809626166 absolute error = 1.2e-29 relative error = 9.0504914110258767548901031193513e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.892 y[1] (analytic) = 13.260786761176543119034264600514 y[1] (numeric) = 13.260786761176543119034264600525 absolute error = 1.1e-29 relative error = 8.2951337640120847134776475700510e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.893 y[1] (analytic) = 13.262625223997234108920583588389 y[1] (numeric) = 13.262625223997234108920583588401 absolute error = 1.2e-29 relative error = 9.0479824298189054922727983540302e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.894 y[1] (analytic) = 13.264463941700655960485452583238 y[1] (numeric) = 13.26446394170065596048545258325 absolute error = 1.2e-29 relative error = 9.0467282000552996161022489691145e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.895 y[1] (analytic) = 13.26630291432214537227961495111 y[1] (numeric) = 13.266302914322145372279614951122 absolute error = 1.2e-29 relative error = 9.0454741441528072109861867794216e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.896 y[1] (analytic) = 13.26814214189704394189997636456 y[1] (numeric) = 13.268142141897043941899976364573 absolute error = 1.3e-29 relative error = 9.7979052839279383193142922384302e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.897 y[1] (analytic) = 13.269981624460698166668803887025 y[1] (numeric) = 13.269981624460698166668803887037 absolute error = 1.2e-29 relative error = 9.0429665538347637645079087778853e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.898 y[1] (analytic) = 13.271821362048459444313019220699 y[1] (numeric) = 13.271821362048459444313019220712 absolute error = 1.3e-29 relative error = 9.7951891043186066791985939225331e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.899 y[1] (analytic) = 13.273661354695684073643586130999 y[1] (numeric) = 13.273661354695684073643586131012 absolute error = 1.3e-29 relative error = 9.7938312968946779977341784582707e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.9 y[1] (analytic) = 13.275501602437733255234992060632 y[1] (numeric) = 13.275501602437733255234992060645 absolute error = 1.3e-29 relative error = 9.7924736776897801936826490744436e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.901 y[1] (analytic) = 13.277342105309973092104823946358 y[1] (numeric) = 13.277342105309973092104823946371 absolute error = 1.3e-29 relative error = 9.7911162466778223774523656612226e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.902 y[1] (analytic) = 13.279182863347774590393438251493 y[1] (numeric) = 13.279182863347774590393438251506 absolute error = 1.3e-29 relative error = 9.7897590038327172761663025120200e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.903 y[1] (analytic) = 13.281023876586513660043725227215 y[1] (numeric) = 13.281023876586513660043725227228 absolute error = 1.3e-29 relative error = 9.7884019491283812331606999675396e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.904 y[1] (analytic) = 13.282865145061571115480967415738 y[1] (numeric) = 13.282865145061571115480967415751 absolute error = 1.3e-29 relative error = 9.7870450825387342074837855566512e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.905 y[1] (analytic) = 13.284706668808332676292792408424 y[1] (numeric) = 13.284706668808332676292792408437 absolute error = 1.3e-29 relative error = 9.7856884040376997733945646244496e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.906 y[1] (analytic) = 13.286548447862188967909219871891 y[1] (numeric) = 13.286548447862188967909219871904 absolute error = 1.3e-29 relative error = 9.7843319135992051198616804378754e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.907 y[1] (analytic) = 13.288390482258535522282802855196 y[1] (numeric) = 13.288390482258535522282802855209 absolute error = 1.3e-29 relative error = 9.7829756111971810500623437592579e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.908 y[1] (analytic) = 13.290232772032772778568863391157 y[1] (numeric) = 13.29023277203277277856886339117 absolute error = 1.3e-29 relative error = 9.7816194968055619808813318781558e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.909 y[1] (analytic) = 13.292075317220306083805822404891 y[1] (numeric) = 13.292075317220306083805822404904 memory used=240.3MB, alloc=4.4MB, time=11.89 absolute error = 1.3e-29 relative error = 9.7802635703982859424100570918656e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.91 y[1] (analytic) = 13.293918117856545693595623942642 y[1] (numeric) = 13.293918117856545693595623942655 absolute error = 1.3e-29 relative error = 9.7789078319492945774457046249687e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.911 y[1] (analytic) = 13.295761173976906772784253733972 y[1] (numeric) = 13.295761173976906772784253733985 absolute error = 1.3e-29 relative error = 9.7775522814325331409904399782973e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.912 y[1] (analytic) = 13.297604485616809396142352100398 y[1] (numeric) = 13.297604485616809396142352100411 absolute error = 1.3e-29 relative error = 9.7761969188219504997506856976885e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.913 y[1] (analytic) = 13.299448052811678549045921223553 y[1] (numeric) = 13.299448052811678549045921223566 absolute error = 1.3e-29 relative error = 9.7748417440914991316364675529072e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.914 y[1] (analytic) = 13.301291875596944128157126785954 y[1] (numeric) = 13.301291875596944128157126785967 absolute error = 1.3e-29 relative error = 9.7734867572151351252608301171140e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.915 y[1] (analytic) = 13.303135954008040942105193997454 y[1] (numeric) = 13.303135954008040942105193997467 absolute error = 1.3e-29 relative error = 9.7721319581668181794393217372637e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.916 y[1] (analytic) = 13.304980288080408712167398020479 y[1] (numeric) = 13.304980288080408712167398020492 absolute error = 1.3e-29 relative error = 9.7707773469205116026895488858037e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.917 y[1] (analytic) = 13.306824877849492072950148807118 y[1] (numeric) = 13.306824877849492072950148807132 absolute error = 1.4e-29 relative error = 1.0520916994484811721402399875151e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.918 y[1] (analytic) = 13.308669723350740573070170361174 y[1] (numeric) = 13.308669723350740573070170361187 absolute error = 1.3e-29 relative error = 9.7680686877298008359837379877415e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.919 y[1] (analytic) = 13.310514824619608675835774438244 y[1] (numeric) = 13.310514824619608675835774438258 absolute error = 1.4e-29 relative error = 1.0518000381251290638383253349767e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.92 y[1] (analytic) = 13.312360181691555759928228696956 y[1] (numeric) = 13.312360181691555759928228696969 absolute error = 1.3e-29 relative error = 9.7653607794347814683128471761924e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.921 y[1] (analytic) = 13.314205794602046120083219314411 y[1] (numeric) = 13.314205794602046120083219314424 absolute error = 1.3e-29 relative error = 9.7640071068081026692354280900108e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.922 y[1] (analytic) = 13.316051663386548967772408078974 y[1] (numeric) = 13.316051663386548967772408078987 absolute error = 1.3e-29 relative error = 9.7626536218272898660623873189414e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.923 y[1] (analytic) = 13.317897788080538431885083973475 y[1] (numeric) = 13.317897788080538431885083973488 absolute error = 1.3e-29 relative error = 9.7613003244663316212190860719827e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.924 y[1] (analytic) = 13.31974416871949355940990926194 y[1] (numeric) = 13.319744168719493559409909261953 absolute error = 1.3e-29 relative error = 9.7599472146992201028318750704656e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.925 y[1] (analytic) = 13.321590805338898316116760092953 y[1] (numeric) = 13.321590805338898316116760092966 absolute error = 1.3e-29 relative error = 9.7585942924999510842282728988829e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.926 y[1] (analytic) = 13.323437697974241587238661632739 y[1] (numeric) = 13.323437697974241587238661632752 absolute error = 1.3e-29 relative error = 9.7572415578425239434372136409170e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.927 y[1] (analytic) = 13.325284846661017178153817741092 y[1] (numeric) = 13.325284846661017178153817741106 absolute error = 1.4e-29 relative error = 1.0506342011524091021357776390358e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.928 y[1] (analytic) = 13.327132251434723815067735203244 y[1] (numeric) = 13.327132251434723815067735203257 absolute error = 1.3e-29 relative error = 9.7545366510492108279175084321401e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.929 y[1] (analytic) = 13.328979912330865145695442530779 y[1] (numeric) = 13.328979912330865145695442530792 absolute error = 1.3e-29 relative error = 9.7531844788613416282570066694342e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.93 y[1] (analytic) = 13.330827829384949739943803344725 y[1] (numeric) = 13.330827829384949739943803344738 absolute error = 1.3e-29 relative error = 9.7518324941113478555463163112861e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.931 y[1] (analytic) = 13.332676002632491090593924353908 y[1] (numeric) = 13.33267600263249109059392435392 absolute error = 1.2e-29 relative error = 9.0004437200983817573793118034921e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.932 y[1] (analytic) = 13.334524432109007613983657941704 y[1] (numeric) = 13.334524432109007613983657941716 absolute error = 1.2e-29 relative error = 8.9991960801425167097052251934768e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.933 y[1] (analytic) = 13.336373117850022650690199374299 y[1] (numeric) = 13.336373117850022650690199374311 absolute error = 1.2e-29 relative error = 8.9979486131342871208219653737015e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.934 y[1] (analytic) = 13.338222059891064466212778643572 y[1] (numeric) = 13.338222059891064466212778643584 absolute error = 1.2e-29 relative error = 8.9967013190497190193364406778089e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.935 y[1] (analytic) = 13.340071258267666251655446957723 y[1] (numeric) = 13.340071258267666251655446957735 absolute error = 1.2e-29 relative error = 8.9954541978648417571233383373307e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.936 y[1] (analytic) = 13.341920713015366124409957892769 y[1] (numeric) = 13.341920713015366124409957892781 absolute error = 1.2e-29 relative error = 8.9942072495556880088644536754560e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.937 y[1] (analytic) = 13.343770424169707128838743218035 y[1] (numeric) = 13.343770424169707128838743218047 absolute error = 1.2e-29 relative error = 8.9929604740982937715880831589026e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.938 y[1] (analytic) = 13.345620391766237236957983408754 y[1] (numeric) = 13.345620391766237236957983408766 absolute error = 1.2e-29 relative error = 8.9917138714686983642084812990513e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.939 y[1] (analytic) = 13.347470615840509349120772858919 y[1] (numeric) = 13.347470615840509349120772858931 absolute error = 1.2e-29 relative error = 8.9904674416429444270653813934782e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=244.1MB, alloc=4.4MB, time=12.08 x[1] = 2.94 y[1] (analytic) = 13.349321096428081294700379807502 y[1] (numeric) = 13.349321096428081294700379807514 absolute error = 1.2e-29 relative error = 8.9892211845970779214635800990475e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.941 y[1] (analytic) = 13.351171833564515832773600991179 y[1] (numeric) = 13.351171833564515832773600991191 absolute error = 1.2e-29 relative error = 8.9879751003071481292125858277088e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.942 y[1] (analytic) = 13.353022827285380652804211036696 y[1] (numeric) = 13.353022827285380652804211036708 absolute error = 1.2e-29 relative error = 8.9867291887492076521663309561533e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.943 y[1] (analytic) = 13.354874077626248375326506605998 y[1] (numeric) = 13.35487407762624837532650660601 absolute error = 1.2e-29 relative error = 8.9854834498993124117629478404881e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.944 y[1] (analytic) = 13.356725584622696552628945307273 y[1] (numeric) = 13.356725584622696552628945307286 absolute error = 1.3e-29 relative error = 9.7329243740446484526116593459998e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.945 y[1] (analytic) = 13.358577348310307669437879385043 y[1] (numeric) = 13.358577348310307669437879385055 absolute error = 1.2e-29 relative error = 8.9829924902278979217974288507036e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.946 y[1] (analytic) = 13.360429368724669143601384202429 y[1] (numeric) = 13.360429368724669143601384202442 absolute error = 1.3e-29 relative error = 9.7302262084717160346323877121677e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.947 y[1] (analytic) = 13.362281645901373326773181528766 y[1] (numeric) = 13.362281645901373326773181528779 absolute error = 1.3e-29 relative error = 9.7288774061932032721056442798793e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.948 y[1] (analytic) = 13.364134179876017505096657645665 y[1] (numeric) = 13.364134179876017505096657645678 absolute error = 1.3e-29 relative error = 9.7275287908854296828631564069018e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.949 y[1] (analytic) = 13.365986970684203899888976284713 y[1] (numeric) = 13.365986970684203899888976284726 absolute error = 1.3e-29 relative error = 9.7261803625224774152939746427265e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.95 y[1] (analytic) = 13.367840018361539668325286409925 y[1] (numeric) = 13.367840018361539668325286409938 absolute error = 1.3e-29 relative error = 9.7248321210784322105152689065388e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.951 y[1] (analytic) = 13.369693322943636904123024858116 y[1] (numeric) = 13.369693322943636904123024858129 absolute error = 1.3e-29 relative error = 9.7234840665273834018743051350716e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.952 y[1] (analytic) = 13.371546884466112638226313850335 y[1] (numeric) = 13.371546884466112638226313850348 absolute error = 1.3e-29 relative error = 9.7221361988434239144504909663705e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.953 y[1] (analytic) = 13.373400702964588839490453387521 y[1] (numeric) = 13.373400702964588839490453387534 absolute error = 1.3e-29 relative error = 9.7207885180006502645574904498989e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.954 y[1] (analytic) = 13.375254778474692415366508543523 y[1] (numeric) = 13.375254778474692415366508543537 absolute error = 1.4e-29 relative error = 1.0467090333509559679187362217531e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.955 y[1] (analytic) = 13.377109111032055212585991668662 y[1] (numeric) = 13.377109111032055212585991668676 absolute error = 1.4e-29 relative error = 1.0465639387253146380095581535320e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.956 y[1] (analytic) = 13.378963700672314017845639516966 y[1] (numeric) = 13.378963700672314017845639516979 absolute error = 1.3e-29 relative error = 9.7167465962604633612601987851396e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.957 y[1] (analytic) = 13.380818547431110558492285310261 y[1] (numeric) = 13.380818547431110558492285310275 absolute error = 1.4e-29 relative error = 1.0462738098102198495881647366204e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.958 y[1] (analytic) = 13.382673651344091503207825752274 y[1] (numeric) = 13.382673651344091503207825752287 absolute error = 1.3e-29 relative error = 9.7140529154981989727118290293346e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.959 y[1] (analytic) = 13.384529012446908462694283005896 y[1] (numeric) = 13.384529012446908462694283005909 absolute error = 1.3e-29 relative error = 9.7127063551587682369928581957447e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.96 y[1] (analytic) = 13.386384630775217990358961646801 y[1] (numeric) = 13.386384630775217990358961646814 absolute error = 1.3e-29 relative error = 9.7113599814792994657516556410140e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.961 y[1] (analytic) = 13.388240506364681582999700606557 y[1] (numeric) = 13.38824050636468158299970060657 absolute error = 1.3e-29 relative error = 9.7100137944339178872603462737976e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.962 y[1] (analytic) = 13.390096639250965681490220118419 y[1] (numeric) = 13.390096639250965681490220118432 absolute error = 1.3e-29 relative error = 9.7086677939967523165474484121403e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.963 y[1] (analytic) = 13.391953029469741671465563678969 y[1] (numeric) = 13.391953029469741671465563678981 absolute error = 1.2e-29 relative error = 8.9606049047464016814467799054941e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.964 y[1] (analytic) = 13.39380967705668588400763503877 y[1] (numeric) = 13.393809677056685884007635038782 absolute error = 1.2e-29 relative error = 8.9593627872402483594182982744448e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.965 y[1] (analytic) = 13.395666582047479596330830235223 y[1] (numeric) = 13.395666582047479596330830235235 absolute error = 1.2e-29 relative error = 8.9581208419162094697874006314407e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.966 y[1] (analytic) = 13.397523744477809032467764680783 y[1] (numeric) = 13.397523744477809032467764680796 absolute error = 1.3e-29 relative error = 9.7032856578129519206830864854068e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.967 y[1] (analytic) = 13.39938116438336536395509531974 y[1] (numeric) = 13.399381164383365363955095319752 absolute error = 1.2e-29 relative error = 8.9556374677190068762744254385456e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.968 y[1] (analytic) = 13.401238841799844710519437866708 y[1] (numeric) = 13.40123884179984471051943786672 absolute error = 1.2e-29 relative error = 8.9543960387981173876066073668981e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.969 y[1] (analytic) = 13.403096776762948140763379140047 y[1] (numeric) = 13.403096776762948140763379140059 absolute error = 1.2e-29 relative error = 8.9531547819638907608476923526382e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.97 y[1] (analytic) = 13.404954969308381672851584503364 y[1] (numeric) = 13.404954969308381672851584503377 absolute error = 1.3e-29 relative error = 9.6979065052918450701839009716939e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=247.9MB, alloc=4.4MB, time=12.27 TOP MAIN SOLVE Loop x[1] = 2.971 y[1] (analytic) = 13.406813419471856275197000428307 y[1] (numeric) = 13.40681341947185627519700042832 absolute error = 1.3e-29 relative error = 9.6965621831650118145077217555694e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.972 y[1] (analytic) = 13.408672127289087867147152191815 y[1] (numeric) = 13.408672127289087867147152191828 absolute error = 1.3e-29 relative error = 9.6952180473878798791478615963243e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.973 y[1] (analytic) = 13.410531092795797319670536721038 y[1] (numeric) = 13.410531092795797319670536721051 absolute error = 1.3e-29 relative error = 9.6938740979346175006534177762082e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.974 y[1] (analytic) = 13.412390316027710456043110599098 y[1] (numeric) = 13.412390316027710456043110599111 absolute error = 1.3e-29 relative error = 9.6925303347793964963680810520615e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.975 y[1] (analytic) = 13.414249797020558052534873244894 y[1] (numeric) = 13.414249797020558052534873244906 absolute error = 1.2e-29 relative error = 8.9457108534428236282465537167422e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.976 y[1] (analytic) = 13.416109535810075839096545280143 y[1] (numeric) = 13.416109535810075839096545280155 absolute error = 1.2e-29 relative error = 8.9444708005474927207332123004865e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.977 y[1] (analytic) = 13.417969532432004500046342096859 y[1] (numeric) = 13.417969532432004500046342096871 absolute error = 1.2e-29 relative error = 8.9432309195480802495685412987506e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.978 y[1] (analytic) = 13.419829786922089674756842638457 y[1] (numeric) = 13.41982978692208967475684263847 absolute error = 1.3e-29 relative error = 9.6871571446224878682076471559244e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.979 y[1] (analytic) = 13.421690299316081958341953407696 y[1] (numeric) = 13.421690299316081958341953407709 absolute error = 1.3e-29 relative error = 9.6858143125701762881919927584770e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (analytic) = 13.423551069649736902343967714649 y[1] (numeric) = 13.423551069649736902343967714662 absolute error = 1.3e-29 relative error = 9.6844716666610121553421976772486e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.981 y[1] (analytic) = 13.425412097958815015420720177919 y[1] (numeric) = 13.425412097958815015420720177932 absolute error = 1.3e-29 relative error = 9.6831292068691923386696238857385e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.982 y[1] (analytic) = 13.427273384279081764032836492295 y[1] (numeric) = 13.427273384279081764032836492308 absolute error = 1.3e-29 relative error = 9.6817869331689172840111998521274e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.983 y[1] (analytic) = 13.429134928646307573131078476058 y[1] (numeric) = 13.429134928646307573131078476072 absolute error = 1.4e-29 relative error = 1.0425094449037036476113109411367e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.984 y[1] (analytic) = 13.430996731096267826843784411158 y[1] (numeric) = 13.430996731096267826843784411172 absolute error = 1.4e-29 relative error = 1.0423649324242884288717310359859e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.985 y[1] (analytic) = 13.432858791664742869164404689448 y[1] (numeric) = 13.432858791664742869164404689462 absolute error = 1.4e-29 relative error = 1.0422204399771681776497421831137e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.986 y[1] (analytic) = 13.434721110387518004639132778219 y[1] (numeric) = 13.434721110387518004639132778233 absolute error = 1.4e-29 relative error = 1.0420759675595660206726035503316e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.987 y[1] (analytic) = 13.436583687300383499054631518225 y[1] (numeric) = 13.43658368730038349905463151824 absolute error = 1.5e-29 relative error = 1.1163551948236130031399303753038e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.988 y[1] (analytic) = 13.438446522439134580125854767435 y[1] (numeric) = 13.43844652243913458012585476745 absolute error = 1.5e-29 relative error = 1.1162004458590825938825267349920e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.989 y[1] (analytic) = 13.440309615839571438183964403712 y[1] (numeric) = 13.440309615839571438183964403727 absolute error = 1.5e-29 relative error = 1.1160457183458269529730129210794e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.99 y[1] (analytic) = 13.442172967537499226864342699654 y[1] (numeric) = 13.442172967537499226864342699669 absolute error = 1.5e-29 relative error = 1.1158910122808725084034370826330e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.991 y[1] (analytic) = 13.444036577568728063794700082814 y[1] (numeric) = 13.444036577568728063794700082828 absolute error = 1.4e-29 relative error = 1.0413539058171630270044270799893e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.992 y[1] (analytic) = 13.44590044596907303128327829452 y[1] (numeric) = 13.445900445969073031283278294534 absolute error = 1.4e-29 relative error = 1.0412095535183766490969908382288e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.993 y[1] (analytic) = 13.447764572774354177007148960528 y[1] (numeric) = 13.447764572774354177007148960543 absolute error = 1.5e-29 relative error = 1.1154270227460868152525773947232e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.994 y[1] (analytic) = 13.449628958020396514700607586732 y[1] (numeric) = 13.449628958020396514700607586747 absolute error = 1.5e-29 relative error = 1.1152724024446096790269800822881e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.995 y[1] (analytic) = 13.451493601743030024843662993154 y[1] (numeric) = 13.451493601743030024843662993169 absolute error = 1.5e-29 relative error = 1.1151178035765720608994912424422e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.996 y[1] (analytic) = 13.453358503978089655350622199461 y[1] (numeric) = 13.453358503978089655350622199476 absolute error = 1.5e-29 relative error = 1.1149632261390028611814719920867e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 2.997 y[1] (analytic) = 13.455223664761415322258770775226 y[1] (numeric) = 13.455223664761415322258770775241 absolute error = 1.5e-29 relative error = 1.1148086701289313920376097598564e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.998 y[1] (analytic) = 13.457089084128851910417148668181 y[1] (numeric) = 13.457089084128851910417148668196 absolute error = 1.5e-29 relative error = 1.1146541355433873774288272490732e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 2.999 y[1] (analytic) = 13.458954762116249274175421523691 y[1] (numeric) = 13.458954762116249274175421523705 absolute error = 1.4e-29 relative error = 1.0401996475541075561848526936715e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3 y[1] (analytic) = 13.460820698759462238072847508687 y[1] (numeric) = 13.460820698759462238072847508701 absolute error = 1.4e-29 relative error = 1.0400554552584024885456192359819e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.001 memory used=251.7MB, alloc=4.4MB, time=12.47 y[1] (analytic) = 13.462686894094350597527339653312 y[1] (numeric) = 13.462686894094350597527339653325 absolute error = 1.3e-29 relative error = 9.6563190559699367934475413572105e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.002 y[1] (analytic) = 13.464553348156779119524623723497 y[1] (numeric) = 13.464553348156779119524623723511 absolute error = 1.4e-29 relative error = 1.0397671306279551030190997746372e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.003 y[1] (analytic) = 13.466420060982617543307491637746 y[1] (numeric) = 13.466420060982617543307491637759 absolute error = 1.3e-29 relative error = 9.6536421269569517564299009227918e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.004 y[1] (analytic) = 13.468287032607740581065150441335 y[1] (numeric) = 13.468287032607740581065150441348 absolute error = 1.3e-29 relative error = 9.6523039407506074893125862783218e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.005 y[1] (analytic) = 13.470154263068027918622666851215 y[1] (numeric) = 13.470154263068027918622666851229 absolute error = 1.4e-29 relative error = 1.0393347935431358479938991996246e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.006 y[1] (analytic) = 13.472021752399364216130507384838 y[1] (numeric) = 13.472021752399364216130507384851 absolute error = 1.3e-29 relative error = 9.6496281248096283379564205515345e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.007 y[1] (analytic) = 13.473889500637639108754174086164 y[1] (numeric) = 13.473889500637639108754174086178 absolute error = 1.4e-29 relative error = 1.0390466686948459246470311967874e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.008 y[1] (analytic) = 13.475757507818747207363935862124 y[1] (numeric) = 13.475757507818747207363935862138 absolute error = 1.4e-29 relative error = 1.0389026362248714340766191083731e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.009 y[1] (analytic) = 13.477625773978588099224655442758 y[1] (numeric) = 13.477625773978588099224655442772 absolute error = 1.4e-29 relative error = 1.0387586237206530851537383024079e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.01 y[1] (analytic) = 13.479494299153066348685711978316 y[1] (numeric) = 13.47949429915306634868571197833 absolute error = 1.4e-29 relative error = 1.0386146311794232282062118226842e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.011 y[1] (analytic) = 13.481363083378091497871019286567 y[1] (numeric) = 13.48136308337809149787101928658 absolute error = 1.3e-29 relative error = 9.6429418298424212598348406457445e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.012 y[1] (analytic) = 13.483232126689578067369139763575 y[1] (numeric) = 13.483232126689578067369139763588 absolute error = 1.3e-29 relative error = 9.6416051269094171619729492293634e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 2.404e+29 TOP MAIN SOLVE Loop x[1] = 3.013 y[1] (analytic) = 13.485101429123445556923493971218 y[1] (numeric) = 13.48510142912344555692349397123 absolute error = 1.2e-29 relative error = 8.8987094854799474309289267861299e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.014 y[1] (analytic) = 13.486970990715618446122665914693 y[1] (numeric) = 13.486970990715618446122665914706 absolute error = 1.3e-29 relative error = 9.6389322768983135672722625690588e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.015 y[1] (analytic) = 13.488840811502026195090804023301 y[1] (numeric) = 13.488840811502026195090804023314 absolute error = 1.3e-29 relative error = 9.6375961297688469166077615036200e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.016 y[1] (analytic) = 13.490710891518603245178117847749 y[1] (numeric) = 13.490710891518603245178117847762 absolute error = 1.3e-29 relative error = 9.6362601678558648615227606443475e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.017 y[1] (analytic) = 13.492581230801289019651470487268 y[1] (numeric) = 13.492581230801289019651470487281 absolute error = 1.3e-29 relative error = 9.6349243911336927248732555654035e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.018 y[1] (analytic) = 13.494451829386027924385066759799 y[1] (numeric) = 13.494451829386027924385066759812 absolute error = 1.3e-29 relative error = 9.6335887995766593885345585513594e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.019 y[1] (analytic) = 13.496322687308769348551237128531 y[1] (numeric) = 13.496322687308769348551237128544 absolute error = 1.3e-29 relative error = 9.6322533931590972929079479534581e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.02 y[1] (analytic) = 13.498193804605467665311317398061 y[1] (numeric) = 13.498193804605467665311317398074 absolute error = 1.3e-29 relative error = 9.6309181718553424364273859340596e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.021 y[1] (analytic) = 13.500065181312082232506624193456 y[1] (numeric) = 13.500065181312082232506624193469 absolute error = 1.3e-29 relative error = 9.6295831356397343750663045897875e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.022 y[1] (analytic) = 13.501936817464577393349526235498 y[1] (numeric) = 13.501936817464577393349526235511 absolute error = 1.3e-29 relative error = 9.6282482844866162218444604438966e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.023 y[1] (analytic) = 13.503808713098922477114611425391 y[1] (numeric) = 13.503808713098922477114611425404 absolute error = 1.3e-29 relative error = 9.6269136183703346463348572983854e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.024 y[1] (analytic) = 13.505680868251091799829949752208 y[1] (numeric) = 13.505680868251091799829949752221 absolute error = 1.3e-29 relative error = 9.6255791372652398741707374363820e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.025 y[1] (analytic) = 13.507553282957064664968452036375 y[1] (numeric) = 13.507553282957064664968452036388 absolute error = 1.3e-29 relative error = 9.6242448411456856865526411653188e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.026 y[1] (analytic) = 13.509425957252825364139324522465 y[1] (numeric) = 13.509425957252825364139324522479 absolute error = 1.4e-29 relative error = 1.0363134632292647067429037360005e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.027 y[1] (analytic) = 13.511298891174363177779619334606 y[1] (numeric) = 13.511298891174363177779619334619 absolute error = 1.3e-29 relative error = 9.6215768037606319646360063161088e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.028 y[1] (analytic) = 13.513172084757672375845880807766 y[1] (numeric) = 13.513172084757672375845880807779 absolute error = 1.3e-29 relative error = 9.6202430624438577661395309446132e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.029 y[1] (analytic) = 13.51504553803875221850588770825 y[1] (numeric) = 13.515045538038752218505887708263 absolute error = 1.3e-29 relative error = 9.6189095060100748228078028977197e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.03 y[1] (analytic) = 13.516919251053606956830491356656 y[1] (numeric) = 13.51691925105360695683049135667 absolute error = 1.4e-29 relative error = 1.0357389683236243508308147556544e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.031 y[1] (analytic) = 13.518793223838245833485549666624 y[1] (numeric) = 13.518793223838245833485549666638 absolute error = 1.4e-29 relative error = 1.0355953943665047265510240979963e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.4MB, time=12.66 x[1] = 3.032 y[1] (analytic) = 13.520667456428683083423957112649 y[1] (numeric) = 13.520667456428683083423957112662 absolute error = 1.3e-29 relative error = 9.6149099457504068028172383300042e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.033 y[1] (analytic) = 13.522541948860937934577770640272 y[1] (numeric) = 13.522541948860937934577770640285 absolute error = 1.3e-29 relative error = 9.6135771285923399202463036743206e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.034 y[1] (analytic) = 13.524416701171034608550431531951 y[1] (numeric) = 13.524416701171034608550431531965 absolute error = 1.4e-29 relative error = 1.0351647918972938923965100489865e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.035 y[1] (analytic) = 13.526291713395002321309083241906 y[1] (numeric) = 13.52629171339500232130908324192 absolute error = 1.4e-29 relative error = 1.0350212975324114381585464015282e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.036 y[1] (analytic) = 13.528166985568875283876985213245 y[1] (numeric) = 13.528166985568875283876985213259 absolute error = 1.4e-29 relative error = 1.0348778230586930905354646976346e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.037 y[1] (analytic) = 13.530042517728692703026022690689 y[1] (numeric) = 13.530042517728692703026022690703 absolute error = 1.4e-29 relative error = 1.0347343684733815397901167622624e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.038 y[1] (analytic) = 13.531918309910498781969312542191 y[1] (numeric) = 13.531918309910498781969312542205 absolute error = 1.4e-29 relative error = 1.0345909337737198584031545361396e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.039 y[1] (analytic) = 13.533794362150342721053905102764 y[1] (numeric) = 13.533794362150342721053905102778 absolute error = 1.4e-29 relative error = 1.0344475189569515010200471102487e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.04 y[1] (analytic) = 13.535670674484278718453582053838 y[1] (numeric) = 13.535670674484278718453582053851 absolute error = 1.3e-29 relative error = 9.6042525801886885408395474016864e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.041 y[1] (analytic) = 13.537547246948365970861750351444 y[1] (numeric) = 13.537547246948365970861750351458 absolute error = 1.4e-29 relative error = 1.0341607489610704873535123916609e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.042 y[1] (analytic) = 13.539424079578668674184432216563 y[1] (numeric) = 13.539424079578668674184432216577 absolute error = 1.4e-29 relative error = 1.0340173937764466507083651592817e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.043 y[1] (analytic) = 13.541301172411256024233351200934 y[1] (numeric) = 13.541301172411256024233351200949 absolute error = 1.5e-29 relative error = 1.1077222054968147613261267703557e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.044 y[1] (analytic) = 13.543178525482202217419114341663 y[1] (numeric) = 13.543178525482202217419114341677 absolute error = 1.4e-29 relative error = 1.0337307430200572316166392517985e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.045 y[1] (analytic) = 13.545056138827586451444490417931 y[1] (numeric) = 13.545056138827586451444490417945 absolute error = 1.4e-29 relative error = 1.0335874474427827603672688944674e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.046 y[1] (analytic) = 13.546934012483492925997784323157 y[1] (numeric) = 13.546934012483492925997784323171 absolute error = 1.4e-29 relative error = 1.0334441717291164918058901641236e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.047 y[1] (analytic) = 13.548812146486010843446307565904 y[1] (numeric) = 13.548812146486010843446307565918 absolute error = 1.4e-29 relative error = 1.0333009158763049359900037201182e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.048 y[1] (analytic) = 13.550690540871234409529944912884 y[1] (numeric) = 13.550690540871234409529944912898 absolute error = 1.4e-29 relative error = 1.0331576798815949846654110622836e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.049 y[1] (analytic) = 13.552569195675262834054817187377 y[1] (numeric) = 13.55256919567526283405481718739 absolute error = 1.3e-29 relative error = 9.5922771633207434612664032419076e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.05 y[1] (analytic) = 13.554448110934200331587040236396 y[1] (numeric) = 13.554448110934200331587040236409 absolute error = 1.3e-29 relative error = 9.5909474835150727269755529675333e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.051 y[1] (analytic) = 13.556327286684156122146580079941 y[1] (numeric) = 13.556327286684156122146580079954 absolute error = 1.3e-29 relative error = 9.5896179880293872793152572316598e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.052 y[1] (analytic) = 13.558206722961244431901204255659 y[1] (numeric) = 13.558206722961244431901204255672 absolute error = 1.3e-29 relative error = 9.5882886768381367137210681508198e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.053 y[1] (analytic) = 13.560086419801584493860529372262 y[1] (numeric) = 13.560086419801584493860529372275 absolute error = 1.3e-29 relative error = 9.5869595499157741674212110113776e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.054 y[1] (analytic) = 13.561966377241300548570164885036 y[1] (numeric) = 13.561966377241300548570164885049 absolute error = 1.3e-29 relative error = 9.5856306072367563189456215801473e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.055 y[1] (analytic) = 13.563846595316521844805953106774 y[1] (numeric) = 13.563846595316521844805953106788 absolute error = 1.4e-29 relative error = 1.0321555837142892878991593893116e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.056 y[1] (analytic) = 13.565727074063382640268305467493 y[1] (numeric) = 13.565727074063382640268305467506 absolute error = 1.3e-29 relative error = 9.5829732745065991331502415662656e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.057 y[1] (analytic) = 13.567607813518022202276635036252 y[1] (numeric) = 13.567607813518022202276635036265 absolute error = 1.3e-29 relative error = 9.5816448844043908549811634587586e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.058 y[1] (analytic) = 13.569488813716584808463885318449 y[1] (numeric) = 13.569488813716584808463885318462 absolute error = 1.3e-29 relative error = 9.5803166784433893919563289462343e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.059 y[1] (analytic) = 13.571370074695219747471155341913 y[1] (numeric) = 13.571370074695219747471155341926 absolute error = 1.3e-29 relative error = 9.5789886565980691217521675276075e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.06 y[1] (analytic) = 13.573251596490081319642421045164 y[1] (numeric) = 13.573251596490081319642421045177 absolute error = 1.3e-29 relative error = 9.5776608188429079604024719162439e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.061 y[1] (analytic) = 13.575133379137328837719352981181 y[1] (numeric) = 13.575133379137328837719352981194 absolute error = 1.3e-29 relative error = 9.5763331651523873618079115526526e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.062 y[1] (analytic) = 13.57701542267312662753623035003 y[1] (numeric) = 13.577015422673126627536230350044 absolute error = 1.4e-29 relative error = 1.0311544595154914803187584424359e-28 % Correct digits = 29 h = 0.001 memory used=259.4MB, alloc=4.4MB, time=12.85 NO POLE TOP MAIN SOLVE Loop x[1] = 3.063 y[1] (analytic) = 13.578897727133644028714951373717 y[1] (numeric) = 13.578897727133644028714951373731 absolute error = 1.4e-29 relative error = 1.0310115210621919920638723815296e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.064 y[1] (analytic) = 13.580780292555055395360140026609 y[1] (numeric) = 13.580780292555055395360140026622 absolute error = 1.3e-29 relative error = 9.5723513082135365392665747041893e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.065 y[1] (analytic) = 13.582663118973540096754349134791 y[1] (numeric) = 13.582663118973540096754349134804 absolute error = 1.3e-29 relative error = 9.5710243905264634708735644645595e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.066 y[1] (analytic) = 13.584546206425282518053359857722 y[1] (numeric) = 13.584546206425282518053359857735 absolute error = 1.3e-29 relative error = 9.5696976567764912855799193795650e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.067 y[1] (analytic) = 13.586429554946472060981577565539 y[1] (numeric) = 13.586429554946472060981577565553 absolute error = 1.4e-29 relative error = 1.0304399653625670550667402930449e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.068 y[1] (analytic) = 13.588313164573303144527524125393 y[1] (numeric) = 13.588313164573303144527524125406 absolute error = 1.3e-29 relative error = 9.5670447409858637819481808731641e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.069 y[1] (analytic) = 13.590197035341975205639426610155 y[1] (numeric) = 13.590197035341975205639426610169 absolute error = 1.4e-29 relative error = 1.0301543063424549362501717471921e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.07 y[1] (analytic) = 13.592081167288692699920902442898 y[1] (numeric) = 13.592081167288692699920902442911 absolute error = 1.3e-29 relative error = 9.5643925606377178051004279741967e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.071 y[1] (analytic) = 13.593965560449665102326740990481 y[1] (numeric) = 13.593965560449665102326740990495 absolute error = 1.4e-29 relative error = 1.0298687265128619300187107071176e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.072 y[1] (analytic) = 13.595850214861106907858781619652 y[1] (numeric) = 13.595850214861106907858781619666 absolute error = 1.4e-29 relative error = 1.0297259662876494718367118778763e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.073 y[1] (analytic) = 13.597735130559237632261888229002 y[1] (numeric) = 13.597735130559237632261888229015 absolute error = 1.3e-29 relative error = 9.5604156686241803401004440921686e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.074 y[1] (analytic) = 13.599620307580281812720020270168 y[1] (numeric) = 13.599620307580281812720020270181 absolute error = 1.3e-29 relative error = 9.5590904054534081994476776205303e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.075 y[1] (analytic) = 13.60150574596046900855240027167 y[1] (numeric) = 13.601505745960469008552400271683 absolute error = 1.3e-29 relative error = 9.5577653259903881776708026591230e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.076 y[1] (analytic) = 13.603391445736033801909777878734 y[1] (numeric) = 13.603391445736033801909777878747 absolute error = 1.3e-29 relative error = 9.5564404302096547378614726390791e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.077 y[1] (analytic) = 13.605277406943215798470790422503 y[1] (numeric) = 13.605277406943215798470790422516 absolute error = 1.3e-29 relative error = 9.5551157180857458731396743126326e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.078 y[1] (analytic) = 13.607163629618259628138420032014 y[1] (numeric) = 13.607163629618259628138420032027 absolute error = 1.3e-29 relative error = 9.5537911895932031061643958344977e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.079 y[1] (analytic) = 13.609050113797414945736547302324 y[1] (numeric) = 13.609050113797414945736547302337 absolute error = 1.3e-29 relative error = 9.5524668447065714886443626743544e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.08 y[1] (analytic) = 13.610936859516936431706601532169 y[1] (numeric) = 13.610936859516936431706601532182 absolute error = 1.3e-29 relative error = 9.5511426834003996008488413510396e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.081 y[1] (analytic) = 13.612823866813083792804307544551 y[1] (numeric) = 13.612823866813083792804307544563 absolute error = 1.2e-29 relative error = 8.8152172667531442010324716729568e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.082 y[1] (analytic) = 13.614711135722121762796529103632 y[1] (numeric) = 13.614711135722121762796529103645 absolute error = 1.3e-29 relative error = 9.5484949114276469753764026178726e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.083 y[1] (analytic) = 13.616598666280320103158208941348 y[1] (numeric) = 13.616598666280320103158208941361 absolute error = 1.3e-29 relative error = 9.5471713007101810366389064150088e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.084 y[1] (analytic) = 13.618486458523953603769405407105 y[1] (numeric) = 13.618486458523953603769405407119 absolute error = 1.4e-29 relative error = 1.0280143863738435534105834727684e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.085 y[1] (analytic) = 13.62037451248930208361242575399 y[1] (numeric) = 13.620374512489302083612425754003 absolute error = 1.3e-29 relative error = 9.5445246296858833547766238504442e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.086 y[1] (analytic) = 13.622262828212650391469056074856 y[1] (numeric) = 13.622262828212650391469056074869 absolute error = 1.3e-29 relative error = 9.5432015693281875687514264305248e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.087 y[1] (analytic) = 13.624151405730288406617887901718 y[1] (numeric) = 13.624151405730288406617887901731 absolute error = 1.3e-29 relative error = 9.5418786923728903329525077424415e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.088 y[1] (analytic) = 13.626040245078511039531741481831 y[1] (numeric) = 13.626040245078511039531741481844 absolute error = 1.3e-29 relative error = 9.5405559987945684385305326316423e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.089 y[1] (analytic) = 13.62792934629361823257518574387 y[1] (numeric) = 13.627929346293618232575185743882 absolute error = 1.2e-29 relative error = 8.8054462971395097238126071011859e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.09 y[1] (analytic) = 13.62981870941191496070215496761 y[1] (numeric) = 13.629818709411914960702154967623 absolute error = 1.3e-29 relative error = 9.5379111616671754587356793715967e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.091 y[1] (analytic) = 13.631708334469711232153662170524 y[1] (numeric) = 13.631708334469711232153662170536 absolute error = 1.2e-29 relative error = 8.8030052474467159149362305685453e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.092 y[1] (analytic) = 13.633598221503322089155609224681 y[1] (numeric) = 13.633598221503322089155609224693 absolute error = 1.2e-29 relative error = 8.8017849763778708612269171437814e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=263.2MB, alloc=4.4MB, time=13.04 x[1] = 3.093 y[1] (analytic) = 13.635488370549067608616693717394 y[1] (numeric) = 13.635488370549067608616693717406 absolute error = 1.2e-29 relative error = 8.8005648744627908688467930587981e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.094 y[1] (analytic) = 13.637378781643272902826412568994 y[1] (numeric) = 13.637378781643272902826412569006 absolute error = 1.2e-29 relative error = 8.7993449416780278720628039291230e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 3.095 y[1] (analytic) = 13.639269454822268120153162421165 y[1] (numeric) = 13.639269454822268120153162421177 absolute error = 1.2e-29 relative error = 8.7981251780001370555087223947771e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.096 y[1] (analytic) = 13.64116039012238844574243680925 y[1] (numeric) = 13.641160390122388445742436809261 absolute error = 1.1e-29 relative error = 8.0638301181218704492567009287977e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.097 y[1] (analytic) = 13.643051587579974102215120131944 y[1] (numeric) = 13.643051587579974102215120131955 absolute error = 1.1e-29 relative error = 8.0627123113819415381931636421891e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.098 y[1] (analytic) = 13.644943047231370350365878431805 y[1] (numeric) = 13.644943047231370350365878431816 absolute error = 1.1e-29 relative error = 8.0615946595921900896375694861334e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.099 y[1] (analytic) = 13.646834769112927489861646999984 y[1] (numeric) = 13.646834769112927489861646999995 absolute error = 1.1e-29 relative error = 8.0604771627311369367196331413217e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.1 y[1] (analytic) = 13.648726753261000859940214818618 y[1] (numeric) = 13.64872675326100085994021481863 absolute error = 1.2e-29 relative error = 8.7920288953934246072808824720254e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.101 y[1] (analytic) = 13.650618999711950840108905854306 y[1] (numeric) = 13.650618999711950840108905854318 absolute error = 1.2e-29 relative error = 8.7908101458646077131944278158037e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.102 y[1] (analytic) = 13.652511508502142850843357216081 y[1] (numeric) = 13.652511508502142850843357216093 absolute error = 1.2e-29 relative error = 8.7895915652786402642058301834778e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.103 y[1] (analytic) = 13.65440427966794735428639419133 y[1] (numeric) = 13.654404279667947354286394191342 absolute error = 1.2e-29 relative error = 8.7883731536121034316683733330676e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.104 y[1] (analytic) = 13.656297313245739854947002173079 y[1] (numeric) = 13.656297313245739854947002173091 absolute error = 1.2e-29 relative error = 8.7871549108415816332493281824149e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.105 y[1] (analytic) = 13.658190609271900900399395492076 y[1] (numeric) = 13.658190609271900900399395492087 absolute error = 1.1e-29 relative error = 8.0537754338650239881066202139304e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 5.372e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 3.106 y[1] (analytic) = 13.660084167782816081982183167111 y[1] (numeric) = 13.660084167782816081982183167123 absolute error = 1.2e-29 relative error = 8.7847189318949370383055339208894e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.107 y[1] (analytic) = 13.661977988814876035497631587014 y[1] (numeric) = 13.661977988814876035497631587026 absolute error = 1.2e-29 relative error = 8.7835011956719993046355429691221e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.108 y[1] (analytic) = 13.663872072404476441911024137754 y[1] (numeric) = 13.663872072404476441911024137765 absolute error = 1.1e-29 relative error = 8.0504266592304928357359695173051e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.109 y[1] (analytic) = 13.665766418588018028050117788095 y[1] (numeric) = 13.665766418588018028050117788105 absolute error = 1.0e-29 relative error = 7.3175551913415666304738847494521e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.11 y[1] (analytic) = 13.667661027401906567304696647244 y[1] (numeric) = 13.667661027401906567304696647255 absolute error = 1.1e-29 relative error = 8.0481949164135776315331872076085e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.111 y[1] (analytic) = 13.669555898882552880326222507945 y[1] (numeric) = 13.669555898882552880326222507955 absolute error = 1.0e-29 relative error = 7.3155266154751021681223389934735e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.112 y[1] (analytic) = 13.671451033066372835727582388436 y[1] (numeric) = 13.671451033066372835727582388446 absolute error = 1.0e-29 relative error = 7.3145125384376246012524439461661e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.113 y[1] (analytic) = 13.673346429989787350782933086761 y[1] (numeric) = 13.67334642998978735078293308677 absolute error = 9e-30 relative error = 6.5821487417741979332117527743064e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.114 y[1] (analytic) = 13.675242089689222392127642760844 y[1] (numeric) = 13.675242089689222392127642760854 absolute error = 1.0e-29 relative error = 7.3124848060567355217935502323876e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.115 y[1] (analytic) = 13.677138012201108976458329547814 y[1] (numeric) = 13.677138012201108976458329547824 absolute error = 1.0e-29 relative error = 7.3114711506743548037894344477721e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.116 y[1] (analytic) = 13.679034197561883171232997235996 y[1] (numeric) = 13.679034197561883171232997236006 absolute error = 1.0e-29 relative error = 7.3104576358047083315168329586821e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.117 y[1] (analytic) = 13.680930645807986095371268003059 y[1] (numeric) = 13.680930645807986095371268003069 absolute error = 1.0e-29 relative error = 7.3094442614283182539936493653007e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.118 y[1] (analytic) = 13.682827356975863919954712233755 y[1] (numeric) = 13.682827356975863919954712233765 absolute error = 1.0e-29 relative error = 7.3084310275257094202541303935138e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.119 y[1] (analytic) = 13.684724331101967868927275430719 y[1] (numeric) = 13.684724331101967868927275430729 absolute error = 1.0e-29 relative error = 7.3074179340774093789745900951899e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.12 y[1] (analytic) = 13.686621568222754219795802231786 y[1] (numeric) = 13.686621568222754219795802231795 absolute error = 9e-30 relative error = 6.5757644829575535402892673374562e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.121 y[1] (analytic) = 13.688519068374684304330657547285 y[1] (numeric) = 13.688519068374684304330657547294 absolute error = 9e-30 relative error = 6.5748529516192734280191720526224e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.122 y[1] (analytic) = 13.690416831594224509266444830787 y[1] (numeric) = 13.690416831594224509266444830797 absolute error = 1.0e-29 relative error = 7.3043794962636779834316524950865e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.123 y[1] (analytic) = 13.692314857917846277002821496765 y[1] (numeric) = 13.692314857917846277002821496774 absolute error = 9e-30 relative error = 6.5730302679941483206497895188205e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=267.0MB, alloc=4.4MB, time=13.23 TOP MAIN SOLVE Loop x[1] = 3.124 y[1] (analytic) = 13.694213147382026106305411498619 y[1] (numeric) = 13.694213147382026106305411498629 absolute error = 1.0e-29 relative error = 7.3023545729691941909444169418767e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.125 y[1] (analytic) = 13.696111700023245553006815080578 y[1] (numeric) = 13.696111700023245553006815080587 absolute error = 9e-30 relative error = 6.5712080896541789034936924265886e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.126 y[1] (analytic) = 13.698010515877991230707715716898 y[1] (numeric) = 13.698010515877991230707715716907 absolute error = 9e-30 relative error = 6.5702971899223525077068191702484e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.127 y[1] (analytic) = 13.699909594982754811478084251878 y[1] (numeric) = 13.699909594982754811478084251888 absolute error = 1.0e-29 relative error = 7.2993182405103220039999876261356e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.128 y[1] (analytic) = 13.701808937374033026558480254139 y[1] (numeric) = 13.701808937374033026558480254149 absolute error = 1.0e-29 relative error = 7.2983064102749860410357355036419e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.129 y[1] (analytic) = 13.703708543088327667061450598653 y[1] (numeric) = 13.703708543088327667061450598662 absolute error = 9e-30 relative error = 6.5675652482694444797742443759092e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.13 y[1] (analytic) = 13.705608412162145584673025290002 y[1] (numeric) = 13.705608412162145584673025290012 absolute error = 1.0e-29 relative error = 7.2962831705640693668586140155577e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.131 y[1] (analytic) = 13.707508544631998692354310540357 y[1] (numeric) = 13.707508544631998692354310540367 absolute error = 1.0e-29 relative error = 7.2952717610496057909039170840968e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.132 y[1] (analytic) = 13.709408940534403965043179115639 y[1] (numeric) = 13.709408940534403965043179115649 absolute error = 1.0e-29 relative error = 7.2942604917365546374283132113678e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.133 y[1] (analytic) = 13.711309599905883440356057963368 y[1] (numeric) = 13.711309599905883440356057963378 absolute error = 1.0e-29 relative error = 7.2932493626054812108271409037634e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.134 y[1] (analytic) = 13.713210522782964219289813135676 y[1] (numeric) = 13.713210522782964219289813135687 absolute error = 1.1e-29 relative error = 8.0214622110006488604828798996237e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 3.135 y[1] (analytic) = 13.715111709202178466923732020981 y[1] (numeric) = 13.715111709202178466923732020992 absolute error = 1.1e-29 relative error = 8.0203502772926964481894351319630e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.136 y[1] (analytic) = 13.717013159200063413121602897796 y[1] (numeric) = 13.717013159200063413121602897808 absolute error = 1.2e-29 relative error = 8.7482601793317848933943037902400e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.137 y[1] (analytic) = 13.718914872813161353233891824193 y[1] (numeric) = 13.718914872813161353233891824204 absolute error = 1.1e-29 relative error = 8.0181268722636016588695322856768e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.138 y[1] (analytic) = 13.720816850078019648800016876384 y[1] (numeric) = 13.720816850078019648800016876396 absolute error = 1.2e-29 relative error = 8.7458349827997050355044324765779e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.139 y[1] (analytic) = 13.722719091031190728250719749949 y[1] (numeric) = 13.722719091031190728250719749961 absolute error = 1.2e-29 relative error = 8.7446226366630832355704561833106e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.14 y[1] (analytic) = 13.724621595709232087610534737178 y[1] (numeric) = 13.72462159570923208761053473719 absolute error = 1.2e-29 relative error = 8.7434104585816737592628932989824e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.141 y[1] (analytic) = 13.726524364148706291200355094051 y[1] (numeric) = 13.726524364148706291200355094063 absolute error = 1.2e-29 relative error = 8.7421984485321808220396847578454e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.142 y[1] (analytic) = 13.728427396386180972340096810343 y[1] (numeric) = 13.728427396386180972340096810356 absolute error = 1.3e-29 relative error = 9.4694021570322545243344399330339e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.143 y[1] (analytic) = 13.73033069245822883405145979637 y[1] (numeric) = 13.730330692458228834051459796383 absolute error = 1.3e-29 relative error = 9.4680895101387590368951806532434e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.144 y[1] (analytic) = 13.732234252401427649760786499866 y[1] (numeric) = 13.732234252401427649760786499879 absolute error = 1.3e-29 relative error = 9.4667770452041494886038691333353e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.145 y[1] (analytic) = 13.734138076252360264002017966515 y[1] (numeric) = 13.734138076252360264002017966528 absolute error = 1.3e-29 relative error = 9.4654647622032027700803058051590e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.146 y[1] (analytic) = 13.736042164047614593119747357641 y[1] (numeric) = 13.736042164047614593119747357654 absolute error = 1.3e-29 relative error = 9.4641526611106992683673622897094e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.147 y[1] (analytic) = 13.737946515823783625972370938559 y[1] (numeric) = 13.737946515823783625972370938572 absolute error = 1.3e-29 relative error = 9.4628407419014228664463078341504e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.148 y[1] (analytic) = 13.739851131617465424635336551117 y[1] (numeric) = 13.73985113161746542463533655113 absolute error = 1.3e-29 relative error = 9.4615290045501609427522029341972e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.149 y[1] (analytic) = 13.741756011465263125104489583928 y[1] (numeric) = 13.741756011465263125104489583942 absolute error = 1.4e-29 relative error = 1.0187926483572604706896233988907e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.15 y[1] (analytic) = 13.743661155403784937999516453823 y[1] (numeric) = 13.743661155403784937999516453837 absolute error = 1.4e-29 relative error = 1.0186514234960912711850477521340e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.151 y[1] (analytic) = 13.745566563469644149267485612027 y[1] (numeric) = 13.745566563469644149267485612041 absolute error = 1.4e-29 relative error = 1.0185102182114879650630683576830e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.152 y[1] (analytic) = 13.747472235699459120886486088601 y[1] (numeric) = 13.747472235699459120886486088615 absolute error = 1.4e-29 relative error = 1.0183690325007368521365857642468e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.153 y[1] (analytic) = 13.74937817212985329156936358865 y[1] (numeric) = 13.749378172129853291569363588663 absolute error = 1.3e-29 relative error = 9.4549730447818713636321287914407e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.4MB, time=13.41 x[1] = 3.154 y[1] (analytic) = 13.751284372797455177467554153834 y[1] (numeric) = 13.751284372797455177467554153847 absolute error = 1.3e-29 relative error = 9.4536623980494269408048243845175e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.155 y[1] (analytic) = 13.753190837738898372875015402714 y[1] (numeric) = 13.753190837738898372875015402727 absolute error = 1.3e-29 relative error = 9.4523519329986064772632168677319e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.156 y[1] (analytic) = 13.755097566990821550932255363442 y[1] (numeric) = 13.755097566990821550932255363455 absolute error = 1.3e-29 relative error = 9.4510416496042252976349263022080e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.157 y[1] (analytic) = 13.757004560589868464330458912341 y[1] (numeric) = 13.757004560589868464330458912354 absolute error = 1.3e-29 relative error = 9.4497315478411022176429284042920e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.158 y[1] (analytic) = 13.758911818572687946015711831907 y[1] (numeric) = 13.75891181857268794601571183192 absolute error = 1.3e-29 relative error = 9.4484216276840595436216195095772e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.159 y[1] (analytic) = 13.760819340975933909893322501756 y[1] (numeric) = 13.760819340975933909893322501768 absolute error = 1.2e-29 relative error = 8.7204109745611597587996448799309e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.16 y[1] (analytic) = 13.762727127836265351532241236057 y[1] (numeric) = 13.762727127836265351532241236069 absolute error = 1.2e-29 relative error = 8.7192021526961742359839537146267e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.161 y[1] (analytic) = 13.764635179190346348869577281 y[1] (numeric) = 13.764635179190346348869577281012 absolute error = 1.2e-29 relative error = 8.7179934983978671105258541383975e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.162 y[1] (analytic) = 13.766543495074846062915213485815 y[1] (numeric) = 13.766543495074846062915213485827 absolute error = 1.2e-29 relative error = 8.7167850116430103183718722803657e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.163 y[1] (analytic) = 13.768452075526438738456518660906 y[1] (numeric) = 13.768452075526438738456518660918 absolute error = 1.2e-29 relative error = 8.7155766924083790153387664219253e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.164 y[1] (analytic) = 13.770360920581803704763157636628 y[1] (numeric) = 13.77036092058180370476315763664 absolute error = 1.2e-29 relative error = 8.7143685406707515766671891406044e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.165 y[1] (analytic) = 13.772270030277625376291999036264 y[1] (numeric) = 13.772270030277625376291999036275 absolute error = 1.1e-29 relative error = 7.9870638433730004635274603814329e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.166 y[1] (analytic) = 13.774179404650593253392120776733 y[1] (numeric) = 13.774179404650593253392120776744 absolute error = 1.1e-29 relative error = 7.9859566779608347304953490491486e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.167 y[1] (analytic) = 13.776089043737401923009913310599 y[1] (numeric) = 13.776089043737401923009913310611 absolute error = 1.2e-29 relative error = 8.7107450902077244812152063248296e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.168 y[1] (analytic) = 13.777998947574751059394280622917 y[1] (numeric) = 13.777998947574751059394280622928 absolute error = 1.1e-29 relative error = 7.9837428075404639064844784166923e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.169 y[1] (analytic) = 13.779909116199345424801938996462 y[1] (numeric) = 13.779909116199345424801938996474 absolute error = 1.2e-29 relative error = 8.7083302936251407856020943989298e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.17 y[1] (analytic) = 13.781819549647894870202813558925 y[1] (numeric) = 13.781819549647894870202813558937 absolute error = 1.2e-29 relative error = 8.7071231463820626446684931790341e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.171 y[1] (analytic) = 13.783730247957114335985532625596 y[1] (numeric) = 13.783730247957114335985532625607 absolute error = 1.1e-29 relative error = 7.9804231526007331760730864484917e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.172 y[1] (analytic) = 13.785641211163723852663019851114 y[1] (numeric) = 13.785641211163723852663019851126 absolute error = 1.2e-29 relative error = 8.7047093538763382696796010257803e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.173 y[1] (analytic) = 13.78755243930444854157818420385 y[1] (numeric) = 13.787552439304448541578184203861 absolute error = 1.1e-29 relative error = 7.9782108161866948568280738996159e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.174 y[1] (analytic) = 13.789463932416018615609707776454 y[1] (numeric) = 13.789463932416018615609707776466 absolute error = 1.2e-29 relative error = 8.7022962305232332776046994255101e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.175 y[1] (analytic) = 13.791375690535169379877931446174 y[1] (numeric) = 13.791375690535169379877931446186 absolute error = 1.2e-29 relative error = 8.7010899197209414214283378331845e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.176 y[1] (analytic) = 13.793287713698641232450838398469 y[1] (numeric) = 13.79328771369864123245083839848 absolute error = 1.1e-29 relative error = 7.9748934614591411447506614420205e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.177 y[1] (analytic) = 13.795200001943179665050135527515 y[1] (numeric) = 13.795200001943179665050135527526 absolute error = 1.1e-29 relative error = 7.9737879831032168680274802336420e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.178 y[1] (analytic) = 13.797112555305535263757432727163 y[1] (numeric) = 13.797112555305535263757432727174 absolute error = 1.1e-29 relative error = 7.9726826579885115897887353497777e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.179 y[1] (analytic) = 13.799025373822463709720520085911 y[1] (numeric) = 13.799025373822463709720520085923 absolute error = 1.2e-29 relative error = 8.6962663484659451331181328446075e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.18 y[1] (analytic) = 13.800938457530725779859742999486 y[1] (numeric) = 13.800938457530725779859742999498 absolute error = 1.2e-29 relative error = 8.6950608735248638778108985249323e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.181 y[1] (analytic) = 13.802851806467087347574475214581 y[1] (numeric) = 13.802851806467087347574475214593 absolute error = 1.2e-29 relative error = 8.6938555656865110056103647193696e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.182 y[1] (analytic) = 13.804765420668319383449689817356 y[1] (numeric) = 13.804765420668319383449689817367 absolute error = 1.1e-29 relative error = 7.9682628895170792013728330181756e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.183 y[1] (analytic) = 13.806679300171197955962628180254 y[1] (numeric) = 13.806679300171197955962628180265 absolute error = 1.1e-29 relative error = 7.9671583302898937312916180004813e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.184 y[1] (analytic) = 13.808593445012504232189566880737 y[1] (numeric) = 13.808593445012504232189566880748 absolute error = 1.1e-29 relative error = 7.9660539241765177924750963959155e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=274.6MB, alloc=4.4MB, time=13.61 TOP MAIN SOLVE Loop x[1] = 3.185 y[1] (analytic) = 13.810507855229024478512682605503 y[1] (numeric) = 13.810507855229024478512682605514 absolute error = 1.1e-29 relative error = 7.9649496711557267750588305116693e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.186 y[1] (analytic) = 13.812422530857550061327015053783 y[1] (numeric) = 13.812422530857550061327015053794 absolute error = 1.1e-29 relative error = 7.9638455712062990113301407274182e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.187 y[1] (analytic) = 13.814337471934877447747527853301 y[1] (numeric) = 13.814337471934877447747527853312 absolute error = 1.1e-29 relative error = 7.9627416243070157753202649261507e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.188 y[1] (analytic) = 13.816252678497808206316267502484 y[1] (numeric) = 13.816252678497808206316267502495 absolute error = 1.1e-29 relative error = 7.9616378304366612823965744597876e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.189 y[1] (analytic) = 13.818168150583149007709620352512 y[1] (numeric) = 13.818168150583149007709620352523 absolute error = 1.1e-29 relative error = 7.9605341895740226888548466417533e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.19 y[1] (analytic) = 13.820083888227711625445667642801 y[1] (numeric) = 13.820083888227711625445667642812 absolute error = 1.1e-29 relative error = 7.9594307016978900915115937586650e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.191 y[1] (analytic) = 13.821999891468312936591638603513 y[1] (numeric) = 13.821999891468312936591638603524 absolute error = 1.1e-29 relative error = 7.9583273667870565272964485933028e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.192 y[1] (analytic) = 13.82391616034177492247146163869 y[1] (numeric) = 13.823916160341774922471461638701 absolute error = 1.1e-29 relative error = 7.9572241848203179728446064510288e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.193 y[1] (analytic) = 13.82583269488492466937341360361 y[1] (numeric) = 13.825832694884924669373413603621 absolute error = 1.1e-29 relative error = 7.9561211557764733440893236818202e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.194 y[1] (analytic) = 13.827749495134594369257867189957 y[1] (numeric) = 13.827749495134594369257867189968 absolute error = 1.1e-29 relative error = 7.9550182796343244958544726900922e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.195 y[1] (analytic) = 13.829666561127621320465136432423 y[1] (numeric) = 13.829666561127621320465136432434 absolute error = 1.1e-29 relative error = 7.9539155563726762214471534244680e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.196 y[1] (analytic) = 13.831583892900847928423420350326 y[1] (numeric) = 13.831583892900847928423420350337 absolute error = 1.1e-29 relative error = 7.9528129859703362522503613396802e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.197 y[1] (analytic) = 13.833501490491121706356844737866 y[1] (numeric) = 13.833501490491121706356844737876 absolute error = 1.0e-29 relative error = 7.2288277894601047793779198388769e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.198 y[1] (analytic) = 13.835419353935295275993602116611 y[1] (numeric) = 13.835419353935295275993602116622 absolute error = 1.1e-29 relative error = 7.9506083036588268429562210757284e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.199 y[1] (analytic) = 13.837337483270226368274189863844 y[1] (numeric) = 13.837337483270226368274189863854 absolute error = 1.0e-29 relative error = 7.2268238106429886839446758607765e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.2 y[1] (analytic) = 13.839255878532777824059746530348 y[1] (numeric) = 13.839255878532777824059746530358 absolute error = 1.0e-29 relative error = 7.2258220295730153318898774571222e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.201 y[1] (analytic) = 13.841174539759817594840486361283 y[1] (numeric) = 13.841174539759817594840486361293 absolute error = 1.0e-29 relative error = 7.2248203873697610880271406671723e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.202 y[1] (analytic) = 13.843093466988218743444232033735 y[1] (numeric) = 13.843093466988218743444232033745 absolute error = 1.0e-29 relative error = 7.2238188840139762717087901673322e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.203 y[1] (analytic) = 13.845012660254859444745045624571 y[1] (numeric) = 13.845012660254859444745045624582 absolute error = 1.1e-29 relative error = 7.9450992714350552577420174988802e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.204 y[1] (analytic) = 13.846932119596622986371957822219 y[1] (numeric) = 13.846932119596622986371957822231 absolute error = 1.2e-29 relative error = 8.6661795525213954488180507809078e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.205 y[1] (analytic) = 13.848851845050397769417795395984 y[1] (numeric) = 13.848851845050397769417795395996 absolute error = 1.2e-29 relative error = 8.6649782482067779261622003526777e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.206 y[1] (analytic) = 13.850771836653077309148106936531 y[1] (numeric) = 13.850771836653077309148106936542 absolute error = 1.1e-29 relative error = 7.9417956845486941601895355132616e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.207 y[1] (analytic) = 13.852692094441560235710186881153 y[1] (numeric) = 13.852692094441560235710186881164 absolute error = 1.1e-29 relative error = 7.9406947942008957017225101536033e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.208 y[1] (analytic) = 13.854612618452750294842197837461 y[1] (numeric) = 13.854612618452750294842197837472 absolute error = 1.1e-29 relative error = 7.9395940564583273467899953051091e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.209 y[1] (analytic) = 13.856533408723556348582391219104 y[1] (numeric) = 13.856533408723556348582391219115 absolute error = 1.1e-29 relative error = 7.9384934712998349847200931090812e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.21 y[1] (analytic) = 13.858454465290892375978426207174 y[1] (numeric) = 13.858454465290892375978426207185 absolute error = 1.1e-29 relative error = 7.9373930387042674372200778708438e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.211 y[1] (analytic) = 13.860375788191677473796787050904 y[1] (numeric) = 13.860375788191677473796787050915 absolute error = 1.1e-29 relative error = 7.9362927586504764579699101647484e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.212 y[1] (analytic) = 13.86229737746283585723229872131 y[1] (numeric) = 13.862297377462835857232298721321 absolute error = 1.1e-29 relative error = 7.9351926311173167322158072861798e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.213 y[1] (analytic) = 13.864219233141296860617740931403 y[1] (numeric) = 13.864219233141296860617740931414 absolute error = 1.1e-29 relative error = 7.9340926560836458763638700427575e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.214 y[1] (analytic) = 13.866141355263994938133560536615 y[1] (numeric) = 13.866141355263994938133560536627 absolute error = 1.2e-29 relative error = 8.6541740002127175682622900475492e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.215 y[1] (analytic) = 13.868063743867869664517682329072 y[1] (numeric) = 13.868063743867869664517682329083 absolute error = 1.1e-29 relative error = 7.9318931634302158933524683120858e-29 % Correct digits = 30 h = 0.001 memory used=278.4MB, alloc=4.4MB, time=13.79 NO POLE TOP MAIN SOLVE Loop x[1] = 3.216 y[1] (analytic) = 13.869986398989865735775418239355 y[1] (numeric) = 13.869986398989865735775418239366 absolute error = 1.1e-29 relative error = 7.9307936457681866511480527145831e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.217 y[1] (analytic) = 13.871909320666932969889474959402 y[1] (numeric) = 13.871909320666932969889474959414 absolute error = 1.2e-29 relative error = 8.6505755787502975068475073056787e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 1.899e+16 Order of pole = 3.607e+29 TOP MAIN SOLVE Loop x[1] = 3.218 y[1] (analytic) = 13.873832508936026307530060000188 y[1] (numeric) = 13.8738325089360263075300600002 absolute error = 1.2e-29 relative error = 8.6493764374558323816554692591885e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.219 y[1] (analytic) = 13.875755963834105812765086197826 y[1] (numeric) = 13.875755963834105812765086197838 absolute error = 1.2e-29 relative error = 8.6481774623861266382232726479429e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.22 y[1] (analytic) = 13.877679685398136673770474681745 y[1] (numeric) = 13.877679685398136673770474681757 absolute error = 1.2e-29 relative error = 8.6469786535181382290798989985619e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.221 y[1] (analytic) = 13.879603673665089203540556318599 y[1] (numeric) = 13.879603673665089203540556318611 absolute error = 1.2e-29 relative error = 8.6457800108288283008389754186247e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.222 y[1] (analytic) = 13.881527928671938840598571645546 y[1] (numeric) = 13.881527928671938840598571645558 absolute error = 1.2e-29 relative error = 8.6445815342951611937560111340947e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.223 y[1] (analytic) = 13.883452450455666149707269306566 y[1] (numeric) = 13.883452450455666149707269306578 absolute error = 1.2e-29 relative error = 8.6433832238941044412856954025357e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.224 y[1] (analytic) = 13.885377239053256822579603005464 y[1] (numeric) = 13.885377239053256822579603005476 absolute error = 1.2e-29 relative error = 8.6421850796026287696392567936173e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.225 y[1] (analytic) = 13.887302294501701678589526989223 y[1] (numeric) = 13.887302294501701678589526989235 absolute error = 1.2e-29 relative error = 8.6409871013977080973418838283990e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.226 y[1] (analytic) = 13.889227616837996665482890075362 y[1] (numeric) = 13.889227616837996665482890075375 absolute error = 1.3e-29 relative error = 9.3597717300276794960227242162981e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.227 y[1] (analytic) = 13.891153206099142860088428236968 y[1] (numeric) = 13.891153206099142860088428236981 absolute error = 1.3e-29 relative error = 9.3584742800850636657939954451607e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.228 y[1] (analytic) = 13.893079062322146469028855759053 y[1] (numeric) = 13.893079062322146469028855759066 absolute error = 1.3e-29 relative error = 9.3571770099947350653140773111151e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.229 y[1] (analytic) = 13.895005185544018829432054979919 y[1] (numeric) = 13.895005185544018829432054979932 absolute error = 1.3e-29 relative error = 9.3558799197317626015524698780134e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.23 y[1] (analytic) = 13.896931575801776409642364631187 y[1] (numeric) = 13.8969315758017764096423646312 absolute error = 1.3e-29 relative error = 9.3545830092712186374224883775593e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.231 y[1] (analytic) = 13.898858233132440809931966790161 y[1] (numeric) = 13.898858233132440809931966790174 absolute error = 1.3e-29 relative error = 9.3532862785881789913022008738149e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.232 y[1] (analytic) = 13.9007851575730387632123724582 y[1] (numeric) = 13.900785157573038763212372458213 absolute error = 1.3e-29 relative error = 9.3519897276577229365554323352467e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.233 y[1] (analytic) = 13.902712349160602135746005778774 y[1] (numeric) = 13.902712349160602135746005778787 absolute error = 1.3e-29 relative error = 9.3506933564549332010528351051025e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.234 y[1] (analytic) = 13.904639807932167927857886908877 y[1] (numeric) = 13.90463980793216792785788690889 absolute error = 1.3e-29 relative error = 9.3493971649548959666930257609168e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.235 y[1] (analytic) = 13.90656753392477827464741355747 y[1] (numeric) = 13.906567533924778274647413557483 absolute error = 1.3e-29 relative error = 9.3481011531327008689237883539453e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.236 y[1] (analytic) = 13.908495527175480446700241204641 y[1] (numeric) = 13.908495527175480446700241204655 absolute error = 1.4e-29 relative error = 1.0065790345652936457514370482345e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.237 y[1] (analytic) = 13.910423787721326850800262015161 y[1] (numeric) = 13.910423787721326850800262015175 absolute error = 1.4e-29 relative error = 1.0064395027531613881346432097557e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.238 y[1] (analytic) = 13.912352315599375030641682460108 y[1] (numeric) = 13.912352315599375030641682460122 absolute error = 1.4e-29 relative error = 1.0062999902829048584577524148621e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.239 y[1] (analytic) = 13.914281110846687667541199660266 y[1] (numeric) = 13.91428111084668766754119966028 absolute error = 1.4e-29 relative error = 1.0061604971518428892439138223019e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.24 y[1] (analytic) = 13.916210173500332581150276464959 y[1] (numeric) = 13.916210173500332581150276464973 absolute error = 1.4e-29 relative error = 1.0060210233572946846792497190443e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.241 y[1] (analytic) = 13.918139503597382730167515280035 y[1] (numeric) = 13.918139503597382730167515280049 absolute error = 1.4e-29 relative error = 1.0058815688965798205613356630569e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.242 y[1] (analytic) = 13.920069101174916213051130658666 y[1] (numeric) = 13.92006910117491621305113065868 absolute error = 1.4e-29 relative error = 1.0057421337670182442476877677582e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.243 y[1] (analytic) = 13.921998966270016268731520668676 y[1] (numeric) = 13.92199896627001626873152066869 absolute error = 1.4e-29 relative error = 1.0056027179659302746042571271539e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.244 y[1] (analytic) = 13.923929098919771277323937050082 y[1] (numeric) = 13.923929098919771277323937050096 absolute error = 1.4e-29 relative error = 1.0054633214906366019539313806659e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.245 y[1] (analytic) = 13.925859499161274760841254176541 y[1] (numeric) = 13.925859499161274760841254176555 absolute error = 1.4e-29 relative error = 1.0053239443384582880250434166668e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=282.3MB, alloc=4.4MB, time=13.98 x[1] = 3.246 y[1] (analytic) = 13.92779016703162538390683683441 y[1] (numeric) = 13.927790167031625383906836834424 absolute error = 1.4e-29 relative error = 1.0051845865067167658998872137288e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.247 y[1] (analytic) = 13.929721102567926954467506833115 y[1] (numeric) = 13.929721102567926954467506833129 absolute error = 1.4e-29 relative error = 1.0050452479927338399632408185964e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.248 y[1] (analytic) = 13.931652305807288424506608460526 y[1] (numeric) = 13.93165230580728842450660846054 absolute error = 1.4e-29 relative error = 1.0049059287938316858508964598976e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.249 y[1] (analytic) = 13.933583776786823890757172797051 y[1] (numeric) = 13.933583776786823890757172797065 absolute error = 1.4e-29 relative error = 1.0047666289073328503981977965991e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.25 y[1] (analytic) = 13.935515515543652595415180902146 y[1] (numeric) = 13.935515515543652595415180902161 absolute error = 1.5e-29 relative error = 1.0763864446398859838449117502371e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.251 y[1] (analytic) = 13.937447522114898926852925886958 y[1] (numeric) = 13.937447522114898926852925886972 absolute error = 1.4e-29 relative error = 1.0044880870608371785021427698212e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.252 y[1] (analytic) = 13.939379796537692420332473886792 y[1] (numeric) = 13.939379796537692420332473886807 absolute error = 1.5e-29 relative error = 1.0760880483165935263544635486668e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.253 y[1] (analytic) = 13.941312338849167758719223947148 y[1] (numeric) = 13.941312338849167758719223947163 absolute error = 1.5e-29 relative error = 1.0759388811769656653504126273956e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.254 y[1] (analytic) = 13.943245149086464773195566836998 y[1] (numeric) = 13.943245149086464773195566837013 absolute error = 1.5e-29 relative error = 1.0757897347148609675916529014488e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.255 y[1] (analytic) = 13.945178227286728443974642803051 y[1] (numeric) = 13.945178227286728443974642803066 absolute error = 1.5e-29 relative error = 1.0756406089274131183842563849068e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.256 y[1] (analytic) = 13.947111573487108901014198278711 y[1] (numeric) = 13.947111573487108901014198278726 absolute error = 1.5e-29 relative error = 1.0754915038117562003623435126182e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.257 y[1] (analytic) = 13.949045187724761424730541561446 y[1] (numeric) = 13.949045187724761424730541561461 absolute error = 1.5e-29 relative error = 1.0753424193650246934330055946689e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.258 y[1] (analytic) = 13.950979070036846446712597472291 y[1] (numeric) = 13.950979070036846446712597472305 absolute error = 1.4e-29 relative error = 1.0035137985453965764064859119774e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.259 y[1] (analytic) = 13.952913220460529550436061011205 y[1] (numeric) = 13.95291322046052955043606101122 absolute error = 1.5e-29 relative error = 1.0750443124668778185148624079488e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.26 y[1] (analytic) = 13.954847639032981471977650022019 y[1] (numeric) = 13.954847639032981471977650022033 absolute error = 1.4e-29 relative error = 1.0032356040090845031288695666836e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.261 y[1] (analytic) = 13.956782325791378100729456880676 y[1] (numeric) = 13.95678232579137810072945688069 absolute error = 1.4e-29 relative error = 1.0030965356627191911699417706392e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.262 y[1] (analytic) = 13.958717280772900480113399220523 y[1] (numeric) = 13.958717280772900480113399220537 absolute error = 1.4e-29 relative error = 1.0029574865939840624867345658995e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.263 y[1] (analytic) = 13.960652504014734808295769708358 y[1] (numeric) = 13.960652504014734808295769708372 absolute error = 1.4e-29 relative error = 1.0028184568002068553087158292843e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 44.72 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 3.264 y[1] (analytic) = 13.962587995554072438901884884985 y[1] (numeric) = 13.962587995554072438901884884999 absolute error = 1.4e-29 relative error = 1.0026794462787156782938190922058e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.265 y[1] (analytic) = 13.964523755428109881730833083994 y[1] (numeric) = 13.964523755428109881730833084008 absolute error = 1.4e-29 relative error = 1.0025404550268390104770948106595e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.266 y[1] (analytic) = 13.966459783674048803470321442516 y[1] (numeric) = 13.96645978367404880347032144253 absolute error = 1.4e-29 relative error = 1.0024014830419057012193687531681e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.267 y[1] (analytic) = 13.968396080329096028411622017684 y[1] (numeric) = 13.968396080329096028411622017698 absolute error = 1.4e-29 relative error = 1.0022625303212449701559075056903e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.268 y[1] (analytic) = 13.97033264543046353916461702254 y[1] (numeric) = 13.970332645430463539164617022554 absolute error = 1.4e-29 relative error = 1.0021235968621864071450910925085e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.269 y[1] (analytic) = 13.972269479015368477372943195131 y[1] (numeric) = 13.972269479015368477372943195145 absolute error = 1.4e-29 relative error = 1.0019846826620599722170927121094e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.27 y[1] (analytic) = 13.974206581121033144429235314542 y[1] (numeric) = 13.974206581121033144429235314556 absolute error = 1.4e-29 relative error = 1.0018457877181959955225655870702e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.271 y[1] (analytic) = 13.9761439517846850021904688776 y[1] (numeric) = 13.976143951784685002190468877614 absolute error = 1.4e-29 relative error = 1.0017069120279251772813369269647e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.272 y[1] (analytic) = 13.978081591043556673693401950011 y[1] (numeric) = 13.978081591043556673693401950025 absolute error = 1.4e-29 relative error = 1.0015680555885785877311090033045e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.273 y[1] (analytic) = 13.980019498934885943870116205669 y[1] (numeric) = 13.980019498934885943870116205683 absolute error = 1.4e-29 relative error = 1.0014292183974876670761673355269e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.274 y[1] (analytic) = 13.981957675495915760263657167891 y[1] (numeric) = 13.981957675495915760263657167905 absolute error = 1.4e-29 relative error = 1.0012904004519842254360959870461e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.275 y[1] (analytic) = 13.983896120763894233743773666336 y[1] (numeric) = 13.98389612076389423374377366635 absolute error = 1.4e-29 relative error = 1.0011516017494004427944999703810e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.276 y[1] (analytic) = 13.985834834776074639222756523354 y[1] (numeric) = 13.985834834776074639222756523367 absolute error = 1.3e-29 relative error = 9.2951190640942109259432513463343e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=286.1MB, alloc=4.4MB, time=14.17 TOP MAIN SOLVE Loop x[1] = 3.277 y[1] (analytic) = 13.987773817569715416371376483529 y[1] (numeric) = 13.987773817569715416371376483543 absolute error = 1.4e-29 relative error = 1.0008740620623224234536429145187e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.278 y[1] (analytic) = 13.989713069182080170334921400182 y[1] (numeric) = 13.989713069182080170334921400195 absolute error = 1.3e-29 relative error = 9.2925422671017336732456224230036e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.279 y[1] (analytic) = 13.991652589650437672449332692566 y[1] (numeric) = 13.991652589650437672449332692579 absolute error = 1.3e-29 relative error = 9.2912541364956712680798624926354e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.28 y[1] (analytic) = 13.993592379012061860957441087559 y[1] (numeric) = 13.993592379012061860957441087572 absolute error = 1.3e-29 relative error = 9.2899661844500512672524969778238e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.281 y[1] (analytic) = 13.995532437304231841725301659581 y[1] (numeric) = 13.995532437304231841725301659594 absolute error = 1.3e-29 relative error = 9.2886784109401216530398755834031e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.282 y[1] (analytic) = 13.997472764564231888958628182521 y[1] (numeric) = 13.997472764564231888958628182535 absolute error = 1.4e-29 relative error = 1.0001805494090451826441757733037e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.283 y[1] (analytic) = 13.999413360829351445919326807446 y[1] (numeric) = 13.99941336082935144591932680746 absolute error = 1.4e-29 relative error = 1.0000419045538215181666991446141e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.284 y[1] (analytic) = 14.001354226136885125642129079843 y[1] (numeric) = 14.001354226136885125642129079856 absolute error = 1.3e-29 relative error = 9.2848161613770064168067165252714e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.285 y[1] (analytic) = 14.003295360524132711651324310185 y[1] (numeric) = 14.003295360524132711651324310199 absolute error = 1.4e-29 relative error = 9.9976467249748780784058914107810e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.286 y[1] (analytic) = 14.005236764028399158677591311597 y[1] (numeric) = 14.00523676402839915867759131161 absolute error = 1.3e-29 relative error = 9.2822422205597489126671137054544e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.287 y[1] (analytic) = 14.00717843668699459337492951837 y[1] (numeric) = 14.007178436686994593374929518383 absolute error = 1.3e-29 relative error = 9.2809555177443613554004134919782e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.288 y[1] (analytic) = 14.00912037853723431503768949914 y[1] (numeric) = 14.009120378537234315037689499153 absolute error = 1.3e-29 relative error = 9.2796689932914961054246826044323e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.289 y[1] (analytic) = 14.011062589616438796317702878486 y[1] (numeric) = 14.011062589616438796317702878498 absolute error = 1.2e-29 relative error = 8.5646609050859340744609059072273e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.29 y[1] (analytic) = 14.01300506996193368394151168073 y[1] (numeric) = 14.013005069961933683941511680742 absolute error = 1.2e-29 relative error = 8.5634736732687116551086205175432e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.291 y[1] (analytic) = 14.01494781961104979942769710974 y[1] (numeric) = 14.014947819611049799427697109753 absolute error = 1.3e-29 relative error = 9.2758104898608055146153252984371e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.292 y[1] (analytic) = 14.016890838601123139804307778504 y[1] (numeric) = 14.016890838601123139804307778517 absolute error = 1.3e-29 relative error = 9.2745246786108179438616904078721e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.293 y[1] (analytic) = 14.018834126969494878326387402266 y[1] (numeric) = 14.018834126969494878326387402279 absolute error = 1.3e-29 relative error = 9.2732390455997640384517345079562e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.294 y[1] (analytic) = 14.020777684753511365193601969023 y[1] (numeric) = 14.020777684753511365193601969036 absolute error = 1.3e-29 relative error = 9.2719535908029363481477451200723e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.295 y[1] (analytic) = 14.022721511990524128267966401167 y[1] (numeric) = 14.02272151199052412826796640118 absolute error = 1.3e-29 relative error = 9.2706683141956308476544995765943e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.296 y[1] (analytic) = 14.024665608717889873791670722062 y[1] (numeric) = 14.024665608717889873791670722075 absolute error = 1.3e-29 relative error = 9.2693832157531469361445000837681e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.297 y[1] (analytic) = 14.02660997497297048710500574136 y[1] (numeric) = 14.026609974972970487105005741373 absolute error = 1.3e-29 relative error = 9.2680982954507874367832745964245e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.298 y[1] (analytic) = 14.028554610793133033364388272846 y[1] (numeric) = 14.028554610793133033364388272859 absolute error = 1.3e-29 relative error = 9.2668135532638585962547434954035e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.299 y[1] (analytic) = 14.030499516215749758260485898616 y[1] (numeric) = 14.03049951621574975826048589863 absolute error = 1.4e-29 relative error = 9.9782619883344139369240868323037e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.3 y[1] (analytic) = 14.032444691278198088736441293389 y[1] (numeric) = 14.032444691278198088736441293402 absolute error = 1.3e-29 relative error = 9.2642446031375349931760687162831e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 31.62 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 3.301 y[1] (analytic) = 14.034390136017860633706196122744 y[1] (numeric) = 14.034390136017860633706196122757 absolute error = 1.3e-29 relative error = 9.2629603951487698373149490822555e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.302 y[1] (analytic) = 14.03633585047212518477291452911 y[1] (numeric) = 14.036335850472125184772914529123 absolute error = 1.3e-29 relative error = 9.2616763651766945527157657505913e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.303 y[1] (analytic) = 14.038281834678384716947506219295 y[1] (numeric) = 14.038281834678384716947506219308 absolute error = 1.3e-29 relative error = 9.2603925131966324965372038499789e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.304 y[1] (analytic) = 14.040228088674037389367249167368 y[1] (numeric) = 14.040228088674037389367249167381 absolute error = 1.3e-29 relative error = 9.2591088391839104466099223458710e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.305 y[1] (analytic) = 14.042174612496486546014511946714 y[1] (numeric) = 14.042174612496486546014511946727 absolute error = 1.3e-29 relative error = 9.2578253431138586009623810815499e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.306 y[1] (analytic) = 14.044121406183140716435575705061 y[1] (numeric) = 14.044121406183140716435575705074 absolute error = 1.3e-29 relative error = 9.2565420249618105773467335489694e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=289.9MB, alloc=4.4MB, time=14.36 x[1] = 3.307 y[1] (analytic) = 14.046068469771413616459555796303 y[1] (numeric) = 14.046068469771413616459555796315 absolute error = 1.2e-29 relative error = 8.5433158935720954579367249663915e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.308 y[1] (analytic) = 14.048015803298724148917423082926 y[1] (numeric) = 14.048015803298724148917423082939 absolute error = 1.3e-29 relative error = 9.2539759223130775629940185507752e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.309 y[1] (analytic) = 14.049963406802496404361124922876 y[1] (numeric) = 14.049963406802496404361124922888 absolute error = 1.2e-29 relative error = 8.5409475117849940634895519550229e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.31 y[1] (analytic) = 14.051911280320159661782805854651 y[1] (numeric) = 14.051911280320159661782805854663 absolute error = 1.2e-29 relative error = 8.5397635671142603587977941416087e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.311 y[1] (analytic) = 14.053859423889148389334127994486 y[1] (numeric) = 14.053859423889148389334127994498 absolute error = 1.2e-29 relative error = 8.5385797865617326756988789471906e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.312 y[1] (analytic) = 14.055807837546902245045691159417 y[1] (numeric) = 14.055807837546902245045691159428 absolute error = 1.1e-29 relative error = 7.8259464892626058953864193947882e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.313 y[1] (analytic) = 14.057756521330866077546552730064 y[1] (numeric) = 14.057756521330866077546552730076 absolute error = 1.2e-29 relative error = 8.5362127177202983782553510713945e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.314 y[1] (analytic) = 14.059705475278489926783847266974 y[1] (numeric) = 14.059705475278489926783847266986 absolute error = 1.2e-29 relative error = 8.5350294293859011494771257768237e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.315 y[1] (analytic) = 14.061654699427229024742505894323 y[1] (numeric) = 14.061654699427229024742505894335 absolute error = 1.2e-29 relative error = 8.5338463050787287125502737610787e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.316 y[1] (analytic) = 14.063604193814543796165075464842 y[1] (numeric) = 14.063604193814543796165075464854 absolute error = 1.2e-29 relative error = 8.5326633447760436418695455583994e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.317 y[1] (analytic) = 14.065553958477899859271637519775 y[1] (numeric) = 14.065553958477899859271637519787 absolute error = 1.2e-29 relative error = 8.5314805484551116636877067996602e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.318 y[1] (analytic) = 14.067503993454768026479827057717 y[1] (numeric) = 14.06750399345476802647982705773 absolute error = 1.3e-29 relative error = 9.2411560757676351269851805478619e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.319 y[1] (analytic) = 14.069454298782624305124951126174 y[1] (numeric) = 14.069454298782624305124951126187 absolute error = 1.3e-29 relative error = 9.2398750683065511170421391072481e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.32 y[1] (analytic) = 14.071404874498949898180207249664 y[1] (numeric) = 14.071404874498949898180207249676 absolute error = 1.2e-29 relative error = 8.5279331431555388153587235864574e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.321 y[1] (analytic) = 14.073355720641231204977001708222 y[1] (numeric) = 14.073355720641231204977001708235 absolute error = 1.3e-29 relative error = 9.2373135860788677825339739810021e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.322 y[1] (analytic) = 14.075306837246959821925367680148 y[1] (numeric) = 14.075306837246959821925367680161 absolute error = 1.3e-29 relative error = 9.2360331112630415836344782934447e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.323 y[1] (analytic) = 14.077258224353632543234483262827 y[1] (numeric) = 14.07725822435363254323448326284 absolute error = 1.3e-29 relative error = 9.2347528139464134671869843060893e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.324 y[1] (analytic) = 14.079209881998751361633289385489 y[1] (numeric) = 14.079209881998751361633289385501 absolute error = 1.2e-29 relative error = 8.5232055637886570999747745568216e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.325 y[1] (analytic) = 14.081161810219823469091207627742 y[1] (numeric) = 14.081161810219823469091207627755 absolute error = 1.3e-29 relative error = 9.2321927517123352595008559434646e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.326 y[1] (analytic) = 14.083114009054361257538957957746 y[1] (numeric) = 14.083114009054361257538957957759 absolute error = 1.3e-29 relative error = 9.2309129867456855835361863810134e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.327 y[1] (analytic) = 14.085066478539882319589476403856 y[1] (numeric) = 14.085066478539882319589476403869 absolute error = 1.3e-29 relative error = 9.2296333991798348196259245922805e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.328 y[1] (analytic) = 14.087019218713909449258932673613 y[1] (numeric) = 14.087019218713909449258932673627 absolute error = 1.4e-29 relative error = 9.9382273727586679842139908653608e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.329 y[1] (analytic) = 14.08897222961397064268784773393 y[1] (numeric) = 14.088972229613970642687847733944 absolute error = 1.4e-29 relative error = 9.9368497373946428537913217960270e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.33 y[1] (analytic) = 14.090925511277599098862311366323 y[1] (numeric) = 14.090925511277599098862311366337 absolute error = 1.4e-29 relative error = 9.9354722929981942365469253438498e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.331 y[1] (analytic) = 14.092879063742333220335299711065 y[1] (numeric) = 14.092879063742333220335299711078 absolute error = 1.3e-29 relative error = 9.2245168224326466513981769313981e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.332 y[1] (analytic) = 14.094832887045716613948092814105 y[1] (numeric) = 14.094832887045716613948092814119 absolute error = 1.4e-29 relative error = 9.9327179770021426410679878255289e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.333 y[1] (analytic) = 14.096786981225298091551792190643 y[1] (numeric) = 14.096786981225298091551792190657 absolute error = 1.4e-29 relative error = 9.9313411053496068858852303044861e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.334 y[1] (analytic) = 14.098741346318631670728938419195 y[1] (numeric) = 14.098741346318631670728938419208 absolute error = 1.3e-29 relative error = 9.2206812513760119397551122860650e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.335 y[1] (analytic) = 14.100695982363276575515228780039 y[1] (numeric) = 14.100695982363276575515228780052 absolute error = 1.3e-29 relative error = 9.2194030821315531019459365496587e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.336 y[1] (analytic) = 14.102650889396797237121334951913 y[1] (numeric) = 14.102650889396797237121334951926 absolute error = 1.3e-29 relative error = 9.2181250900666944413660780322115e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.337 y[1] (analytic) = 14.104606067456763294654820780815 y[1] (numeric) = 14.104606067456763294654820780828 absolute error = 1.3e-29 relative error = 9.2168472751568753524032071159523e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.4MB, time=14.55 x[1] = 3.338 y[1] (analytic) = 14.106561516580749595842160134807 y[1] (numeric) = 14.10656151658074959584216013482 absolute error = 1.3e-29 relative error = 9.2155696373775386340319073548534e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.339 y[1] (analytic) = 14.108517236806336197750854858677 y[1] (numeric) = 14.10851723680633619775085485869 absolute error = 1.3e-29 relative error = 9.2142921767041304893417322240343e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.34 y[1] (analytic) = 14.110473228171108367511652842346 y[1] (numeric) = 14.110473228171108367511652842359 absolute error = 1.3e-29 relative error = 9.2130148931121005250653272898566e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.341 y[1] (analytic) = 14.112429490712656583040866216905 y[1] (numeric) = 14.112429490712656583040866216918 absolute error = 1.3e-29 relative error = 9.2117377865769017511066177916380e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.342 y[1] (analytic) = 14.114386024468576533762789692147 y[1] (numeric) = 14.11438602446857653376278969216 absolute error = 1.3e-29 relative error = 9.2104608570739905800690616259297e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.343 y[1] (analytic) = 14.116342829476469121332219049499 y[1] (numeric) = 14.116342829476469121332219049512 absolute error = 1.3e-29 relative error = 9.2091841045788268267839677242757e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.344 y[1] (analytic) = 14.11829990577394046035706980422 y[1] (numeric) = 14.118299905773940460357069804232 absolute error = 1.2e-29 relative error = 8.4996069499078834226205044449876e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.345 y[1] (analytic) = 14.120257253398601879121096050761 y[1] (numeric) = 14.120257253398601879121096050773 absolute error = 1.2e-29 relative error = 8.4984287358587056994824851348685e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.346 y[1] (analytic) = 14.122214872388069920306709505184 y[1] (numeric) = 14.122214872388069920306709505196 absolute error = 1.2e-29 relative error = 8.4972506851333562264038440631670e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.347 y[1] (analytic) = 14.124172762779966341717898758514 y[1] (numeric) = 14.124172762779966341717898758526 absolute error = 1.2e-29 relative error = 8.4960727977091950824866160622326e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.348 y[1] (analytic) = 14.126130924611918117003248754932 y[1] (numeric) = 14.126130924611918117003248754944 absolute error = 1.2e-29 relative error = 8.4948950735635854851747653572771e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.349 y[1] (analytic) = 14.128089357921557436379060508693 y[1] (numeric) = 14.128089357921557436379060508705 absolute error = 1.2e-29 relative error = 8.4937175126738937898191491495016e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.35 y[1] (analytic) = 14.130048062746521707352571073678 y[1] (numeric) = 14.13004806274652170735257107369 absolute error = 1.2e-29 relative error = 8.4925401150174894892425415038925e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.351 y[1] (analytic) = 14.13200703912445355544527377947 y[1] (numeric) = 14.132007039124453555445273779482 absolute error = 1.2e-29 relative error = 8.4913628805717452133047175333328e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.352 y[1] (analytic) = 14.133966287093000824916338747852 y[1] (numeric) = 14.133966287093000824916338747864 absolute error = 1.2e-29 relative error = 8.4901858093140367284675978706718e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.353 y[1] (analytic) = 14.135925806689816579486133703644 y[1] (numeric) = 14.135925806689816579486133703656 absolute error = 1.2e-29 relative error = 8.4890089012217429373604534203874e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.354 y[1] (analytic) = 14.137885597952559103059845093767 y[1] (numeric) = 14.13788559795255910305984509378 absolute error = 1.3e-29 relative error = 9.1951515026282663682072679132869e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.355 y[1] (analytic) = 14.139845660918891900451199528455 y[1] (numeric) = 14.139845660918891900451199528467 absolute error = 1.2e-29 relative error = 8.4866555744429307250815755333437e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.356 y[1] (analytic) = 14.141805995626483698106285558508 y[1] (numeric) = 14.141805995626483698106285558519 absolute error = 1.1e-29 relative error = 7.7783558927352536372517532946140e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.357 y[1] (analytic) = 14.143766602113008444827475802513 y[1] (numeric) = 14.143766602113008444827475802525 absolute error = 1.2e-29 relative error = 8.4843029000544025043308339164751e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.358 y[1] (analytic) = 14.14572748041614531249744943794 y[1] (numeric) = 14.145727480416145312497449437952 absolute error = 1.2e-29 relative error = 8.4831268074499754567418146936351e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.359 y[1] (analytic) = 14.147688630573578696803315070013 y[1] (numeric) = 14.147688630573578696803315070026 absolute error = 1.3e-29 relative error = 9.1887801176982442166511286174059e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.36 y[1] (analytic) = 14.1496500526229982179608339923 y[1] (numeric) = 14.149650052622998217960833992312 absolute error = 1.2e-29 relative error = 8.4807751113077840392323405142360e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.361 y[1] (analytic) = 14.151611746602098721438743852908 y[1] (numeric) = 14.15161174660209872143874385292 absolute error = 1.2e-29 relative error = 8.4795995077248244892660780743219e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.362 y[1] (analytic) = 14.153573712548580278683182740236 y[1] (numeric) = 14.153573712548580278683182740248 absolute error = 1.2e-29 relative error = 8.4784240671038308125126028842319e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.363 y[1] (analytic) = 14.155535950500148187842213702183 y[1] (numeric) = 14.155535950500148187842213702195 absolute error = 1.2e-29 relative error = 8.4772487894222132493742054449399e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.364 y[1] (analytic) = 14.157498460494512974490449712741 y[1] (numeric) = 14.157498460494512974490449712753 absolute error = 1.2e-29 relative error = 8.4760736746573851716417548618826e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.365 y[1] (analytic) = 14.159461242569390392353779099913 y[1] (numeric) = 14.159461242569390392353779099925 absolute error = 1.2e-29 relative error = 8.4748987227867630820606263003670e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.366 y[1] (analytic) = 14.161424296762501424034191448858 y[1] (numeric) = 14.161424296762501424034191448871 absolute error = 1.3e-29 relative error = 9.1798675949367471650547459963855e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.367 y[1] (analytic) = 14.163387623111572281734703994225 y[1] (numeric) = 14.163387623111572281734703994237 absolute error = 1.2e-29 relative error = 8.4725493076378185305023521241164e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.368 y[1] (analytic) = 14.165351221654334407984388515568 y[1] (numeric) = 14.16535122165433440798438851558 absolute error = 1.2e-29 relative error = 8.4713748443143447248826765828792e-29 % Correct digits = 30 h = 0.001 memory used=297.5MB, alloc=4.4MB, time=14.74 NO POLE TOP MAIN SOLVE Loop x[1] = 3.369 y[1] (analytic) = 14.167315092428524476363498749823 y[1] (numeric) = 14.167315092428524476363498749835 absolute error = 1.2e-29 relative error = 8.4702005437947742192615392433691e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.37 y[1] (analytic) = 14.169279235471884392228698334735 y[1] (numeric) = 14.169279235471884392228698334747 absolute error = 1.2e-29 relative error = 8.4690264060565391646478630966704e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.371 y[1] (analytic) = 14.17124365082216129343838929721 y[1] (numeric) = 14.171243650822161293438389297223 absolute error = 1.3e-29 relative error = 9.1735068003334977437687306621548e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.372 y[1] (analytic) = 14.173208338517107551078141100511 y[1] (numeric) = 14.173208338517107551078141100523 absolute error = 1.2e-29 relative error = 8.4666786188338196538016052874519e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.373 y[1] (analytic) = 14.175173298594480770186220264238 y[1] (numeric) = 14.175173298594480770186220264251 absolute error = 1.3e-29 relative error = 9.1709637167462330679097436022429e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.374 y[1] (analytic) = 14.17713853109204379047922057106 y[1] (numeric) = 14.177138531092043790479220571072 absolute error = 1.2e-29 relative error = 8.4643314824657059596366623182135e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.375 y[1] (analytic) = 14.179104036047564687077793874104 y[1] (numeric) = 14.179104036047564687077793874116 absolute error = 1.2e-29 relative error = 8.4631581582957399023142892762836e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.376 y[1] (analytic) = 14.181069813498816771232481518991 y[1] (numeric) = 14.181069813498816771232481519002 absolute error = 1.1e-29 relative error = 7.7568195803741205587339624933516e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.377 y[1] (analytic) = 14.18303586348357859104964639443 y[1] (numeric) = 14.183035863483578591049646394442 absolute error = 1.2e-29 relative error = 8.4608119978712439398231732474128e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.378 y[1] (analytic) = 14.185002186039633932217505625355 y[1] (numeric) = 14.185002186039633932217505625367 absolute error = 1.2e-29 relative error = 8.4596391615716252406988324228634e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.379 y[1] (analytic) = 14.186968781204771818732263922527 y[1] (numeric) = 14.186968781204771818732263922539 absolute error = 1.2e-29 relative error = 8.4584664878503720754467327779466e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.38 y[1] (analytic) = 14.18893564901678651362434760258 y[1] (numeric) = 14.188935649016786513624347602593 absolute error = 1.3e-29 relative error = 9.1620684747420268473388674615027e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.381 y[1] (analytic) = 14.190902789513477519684739292458 y[1] (numeric) = 14.190902789513477519684739292471 absolute error = 1.3e-29 relative error = 9.1607984303905540581905261239394e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.382 y[1] (analytic) = 14.192870202732649580191413332195 y[1] (numeric) = 14.192870202732649580191413332208 absolute error = 1.3e-29 relative error = 9.1595285620924101821241848256475e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.383 y[1] (analytic) = 14.194837888712112679635871890014 y[1] (numeric) = 14.194837888712112679635871890027 absolute error = 1.3e-29 relative error = 9.1582588698231907370558634456675e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.384 y[1] (analytic) = 14.196805847489682044449781803695 y[1] (numeric) = 14.196805847489682044449781803708 absolute error = 1.3e-29 relative error = 9.1569893535584946238466784669533e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.385 y[1] (analytic) = 14.198774079103178143731712162185 y[1] (numeric) = 14.198774079103178143731712162198 absolute error = 1.3e-29 relative error = 9.1557200132739241258338997106526e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.386 y[1] (analytic) = 14.200742583590426689973972641408 y[1] (numeric) = 14.200742583590426689973972641421 absolute error = 1.3e-29 relative error = 9.1544508489450849083620720752238e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.387 y[1] (analytic) = 14.20271136098925863978955260825 y[1] (numeric) = 14.202711360989258639789552608263 absolute error = 1.3e-29 relative error = 9.1531818605475860183142022713757e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.388 y[1] (analytic) = 14.20468041133751019463916100669 y[1] (numeric) = 14.204680411337510194639161006704 absolute error = 1.4e-29 relative error = 9.8559063594460429516155498164218e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.389 y[1] (analytic) = 14.206649734673022801558367040047 y[1] (numeric) = 14.20664973467302280155836704006 absolute error = 1.3e-29 relative error = 9.1506444114490623129022473708300e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.39 y[1] (analytic) = 14.208619331033643153884841663309 y[1] (numeric) = 14.208619331033643153884841663321 absolute error = 1.2e-29 relative error = 8.4455778006454823028720693531681e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.391 y[1] (analytic) = 14.210589200457223191985699899538 y[1] (numeric) = 14.210589200457223191985699899551 absolute error = 1.3e-29 relative error = 9.1481076657832929976205147393899e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.392 y[1] (analytic) = 14.212559342981620103984943994322 y[1] (numeric) = 14.212559342981620103984943994334 absolute error = 1.2e-29 relative error = 8.4432365138554613252076528096635e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.393 y[1] (analytic) = 14.214529758644696326491007422235 y[1] (numeric) = 14.214529758644696326491007422247 absolute error = 1.2e-29 relative error = 8.4420661138664050477972986413829e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.394 y[1] (analytic) = 14.216500447484319545324399759324 y[1] (numeric) = 14.216500447484319545324399759336 absolute error = 1.2e-29 relative error = 8.4408958761179933543702671612631e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.395 y[1] (analytic) = 14.218471409538362696245452435572 y[1] (numeric) = 14.218471409538362696245452435584 absolute error = 1.2e-29 relative error = 8.4397258005877364747615308549091e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.396 y[1] (analytic) = 14.220442644844703965682165381345 y[1] (numeric) = 14.220442644844703965682165381357 absolute error = 1.2e-29 relative error = 8.4385558872531477563341229026137e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.397 y[1] (analytic) = 14.222414153441226791458154581801 y[1] (numeric) = 14.222414153441226791458154581813 absolute error = 1.2e-29 relative error = 8.4373861360917436635469859773717e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.398 y[1] (analytic) = 14.224385935365819863520700553253 y[1] (numeric) = 14.224385935365819863520700553266 absolute error = 1.3e-29 relative error = 9.1392345926711307589831210265866e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.4MB, time=14.94 x[1] = 3.399 y[1] (analytic) = 14.226357990656377124668897755483 y[1] (numeric) = 14.226357990656377124668897755495 absolute error = 1.2e-29 relative error = 8.4350471201985707956163554763863e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.4 y[1] (analytic) = 14.228330319350797771281904953981 y[1] (numeric) = 14.228330319350797771281904953993 absolute error = 1.2e-29 relative error = 8.4338778554218505309817725085893e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.401 y[1] (analytic) = 14.230302921486986254047296546137 y[1] (numeric) = 14.23030292148698625404729654615 absolute error = 1.3e-29 relative error = 9.1354344821224462381531818579549e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.402 y[1] (analytic) = 14.232275797102852278689514865361 y[1] (numeric) = 14.232275797102852278689514865373 absolute error = 1.2e-29 relative error = 8.4315398120957869825535523464195e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.403 y[1] (analytic) = 14.234248946236310806698423477121 y[1] (numeric) = 14.234248946236310806698423477133 absolute error = 1.2e-29 relative error = 8.4303710335015109001808121043889e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.404 y[1] (analytic) = 14.236222368925282056057961480938 y[1] (numeric) = 14.236222368925282056057961480949 absolute error = 1.1e-29 relative error = 7.7267688821795284423034273016294e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.405 y[1] (analytic) = 14.238196065207691501974898832293 y[1] (numeric) = 14.238196065207691501974898832306 absolute error = 1.3e-29 relative error = 9.1303701258663416021004254525393e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.406 y[1] (analytic) = 14.240170035121469877607692698506 y[1] (numeric) = 14.240170035121469877607692698518 absolute error = 1.2e-29 relative error = 8.4268656697241740244769582358809e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.407 y[1] (analytic) = 14.24214427870455317479544486253 y[1] (numeric) = 14.242144278704553174795444862542 absolute error = 1.2e-29 relative error = 8.4256975390587071855662618965218e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.408 y[1] (analytic) = 14.244118795994882644786960188733 y[1] (numeric) = 14.244118795994882644786960188745 absolute error = 1.2e-29 relative error = 8.4245295703193116861389367459841e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.409 y[1] (analytic) = 14.246093587030404798969906164634 y[1] (numeric) = 14.246093587030404798969906164647 absolute error = 1.3e-29 relative error = 9.1253085771071698089620795100623e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.41 y[1] (analytic) = 14.24806865184907140960007353263 y[1] (numeric) = 14.248068651849071409600073532643 absolute error = 1.3e-29 relative error = 9.1240436284063659243226675107138e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.411 y[1] (analytic) = 14.250043990488839510530738025711 y[1] (numeric) = 14.250043990488839510530738025724 absolute error = 1.3e-29 relative error = 9.1227788550525327360632206184870e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.412 y[1] (analytic) = 14.252019602987671397942123221204 y[1] (numeric) = 14.252019602987671397942123221216 absolute error = 1.2e-29 relative error = 8.4198593141735664714036075126332e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.413 y[1] (analytic) = 14.253995489383534631070964526534 y[1] (numeric) = 14.253995489383534631070964526546 absolute error = 1.2e-29 relative error = 8.4186921547278974314495387764345e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.414 y[1] (analytic) = 14.255971649714402032940174311059 y[1] (numeric) = 14.255971649714402032940174311071 absolute error = 1.2e-29 relative error = 8.4175251570736694101475138591811e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.415 y[1] (analytic) = 14.257948084018251691088608197965 y[1] (numeric) = 14.257948084018251691088608197977 absolute error = 1.2e-29 relative error = 8.4163583211884549058532419344179e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.416 y[1] (analytic) = 14.259924792333066958300932530274 y[1] (numeric) = 14.259924792333066958300932530286 absolute error = 1.2e-29 relative error = 8.4151916470498295258188412674435e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.417 y[1] (analytic) = 14.261901774696836453337593024976 y[1] (numeric) = 14.261901774696836453337593024988 absolute error = 1.2e-29 relative error = 8.4140251346353719857618845313806e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.418 y[1] (analytic) = 14.26387903114755406166488462932 y[1] (numeric) = 14.263879031147554061664884629332 absolute error = 1.2e-29 relative error = 8.4128587839226641094345038621103e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.419 y[1] (analytic) = 14.265856561723218936185122593295 y[1] (numeric) = 14.265856561723218936185122593307 absolute error = 1.2e-29 relative error = 8.4116925948892908281925556437868e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.42 y[1] (analytic) = 14.267834366461835497966914772327 y[1] (numeric) = 14.267834366461835497966914772339 absolute error = 1.2e-29 relative error = 8.4105265675128401805648450166589e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.421 y[1] (analytic) = 14.269812445401413436975535174237 y[1] (numeric) = 14.269812445401413436975535174249 absolute error = 1.2e-29 relative error = 8.4093607017709033118224100989124e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 4.652e+16 Order of pole = 3.607e+29 TOP MAIN SOLVE Loop x[1] = 3.422 y[1] (analytic) = 14.271790798579967712803398764485 y[1] (numeric) = 14.271790798579967712803398764497 absolute error = 1.2e-29 relative error = 8.4081949976410744735478659142619e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.423 y[1] (analytic) = 14.273769426035518555400637543746 y[1] (numeric) = 14.273769426035518555400637543758 absolute error = 1.2e-29 relative error = 8.4070294551009510232048080170129e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.424 y[1] (analytic) = 14.275748327806091465805777911859 y[1] (numeric) = 14.275748327806091465805777911871 absolute error = 1.2e-29 relative error = 8.4058640741281334237072758063162e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.425 y[1] (analytic) = 14.277727503929717216876519332182 y[1] (numeric) = 14.277727503929717216876519332194 absolute error = 1.2e-29 relative error = 8.4046988547002252429892755213485e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.426 y[1] (analytic) = 14.27970695444443185402061431041 y[1] (numeric) = 14.279706954444431854020614310423 absolute error = 1.3e-29 relative error = 9.1038282798610692497055598182306e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.427 y[1] (analytic) = 14.281686679388276695926849701895 y[1] (numeric) = 14.281686679388276695926849701907 absolute error = 1.2e-29 relative error = 8.4023689003895669321452855567556e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.428 y[1] (analytic) = 14.283666678799298335296129361507 y[1] (numeric) = 14.283666678799298335296129361519 absolute error = 1.2e-29 relative error = 8.4012041654620394591136848796478e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.429 y[1] (analytic) = 14.285646952715548639572658150113 y[1] (numeric) = 14.285646952715548639572658150125 absolute error = 1.2e-29 relative error = 8.4000395919898667181898577577548e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=305.1MB, alloc=4.4MB, time=15.12 TOP MAIN SOLVE Loop x[1] = 3.43 y[1] (analytic) = 14.287627501175084751675227311695 y[1] (numeric) = 14.287627501175084751675227311707 absolute error = 1.2e-29 relative error = 8.3988751799506677959525778112349e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.431 y[1] (analytic) = 14.289608324215969090728601235178 y[1] (numeric) = 14.28960832421596909072860123519 absolute error = 1.2e-29 relative error = 8.3977109293220648814189763074760e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.432 y[1] (analytic) = 14.291589421876269352795005615024 y[1] (numeric) = 14.291589421876269352795005615037 absolute error = 1.3e-29 relative error = 9.0962590767551568710823562487357e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.433 y[1] (analytic) = 14.293570794194058511605717024646 y[1] (numeric) = 14.293570794194058511605717024659 absolute error = 1.3e-29 relative error = 9.0949981548910806195713934563973e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.434 y[1] (analytic) = 14.295552441207414819292753916697 y[1] (numeric) = 14.29555244120741481929275391671 absolute error = 1.3e-29 relative error = 9.0937374078157756519024289495986e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.435 y[1] (analytic) = 14.297534362954421807120669064305 y[1] (numeric) = 14.297534362954421807120669064319 absolute error = 1.4e-29 relative error = 9.7918981305438599155789759759862e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.436 y[1] (analytic) = 14.299516559473168286218443457318 y[1] (numeric) = 14.299516559473168286218443457332 absolute error = 1.4e-29 relative error = 9.7905407793141481824763374276324e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.437 y[1] (analytic) = 14.301499030801748348311481667609 y[1] (numeric) = 14.301499030801748348311481667622 absolute error = 1.3e-29 relative error = 9.0899562150802133514766075215823e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.438 y[1] (analytic) = 14.303481776978261366453708697529 y[1] (numeric) = 14.303481776978261366453708697542 absolute error = 1.3e-29 relative error = 9.0886961669177352100727052965093e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.439 y[1] (analytic) = 14.305464798040811995759768325568 y[1] (numeric) = 14.305464798040811995759768325582 absolute error = 1.4e-29 relative error = 9.7864698544554479867517313864562e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.44 y[1] (analytic) = 14.307448094027510174137322963292 y[1] (numeric) = 14.307448094027510174137322963306 absolute error = 1.4e-29 relative error = 9.7851132556924312284967898187925e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.441 y[1] (analytic) = 14.309431664976471123019455037632 y[1] (numeric) = 14.309431664976471123019455037646 absolute error = 1.4e-29 relative error = 9.7837568449809009805431095246031e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.442 y[1] (analytic) = 14.311415510925815348097169912608 y[1] (numeric) = 14.311415510925815348097169912622 absolute error = 1.4e-29 relative error = 9.7824006222947895782703172884428e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.443 y[1] (analytic) = 14.313399631913668640052000364555 y[1] (numeric) = 14.313399631913668640052000364569 absolute error = 1.4e-29 relative error = 9.7810445876080329705532127874978e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.444 y[1] (analytic) = 14.315384027978162075288712624932 y[1] (numeric) = 14.315384027978162075288712624947 absolute error = 1.5e-29 relative error = 1.0478237936672754342065214122212e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.445 y[1] (analytic) = 14.317368699157432016668114004806 y[1] (numeric) = 14.31736869915743201666811400482 absolute error = 1.4e-29 relative error = 9.7783330821283459987557871329805e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.446 y[1] (analytic) = 14.319353645489620114239962115071 y[1] (numeric) = 14.319353645489620114239962115086 absolute error = 1.5e-29 relative error = 1.0475333154946398852206955283292e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.447 y[1] (analytic) = 14.321338867012873305975975696521 y[1] (numeric) = 14.321338867012873305975975696536 absolute error = 1.5e-29 relative error = 1.0473881066071499900378726445314e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.448 y[1] (analytic) = 14.323324363765343818502947073825 y[1] (numeric) = 14.323324363765343818502947073841 absolute error = 1.6e-29 relative error = 1.1170591123717237648543163335963e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.449 y[1] (analytic) = 14.325310135785189167835956247531 y[1] (numeric) = 14.325310135785189167835956247547 absolute error = 1.6e-29 relative error = 1.1169042658302642652671830018464e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.45 y[1] (analytic) = 14.327296183110572160111686638155 y[1] (numeric) = 14.327296183110572160111686638172 absolute error = 1.7e-29 relative error = 1.1865462808007059830501291483499e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.451 y[1] (analytic) = 14.329282505779660892321842496484 y[1] (numeric) = 14.3292825057796608923218424965 absolute error = 1.6e-29 relative error = 1.1165946371387724153775835383507e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.452 y[1] (analytic) = 14.331269103830628753046667994145 y[1] (numeric) = 14.331269103830628753046667994161 absolute error = 1.6e-29 relative error = 1.1164398549827895835446753206601e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.453 y[1] (analytic) = 14.333255977301654423188568008586 y[1] (numeric) = 14.333255977301654423188568008602 absolute error = 1.6e-29 relative error = 1.1162850942826825134688070149620e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.454 y[1] (analytic) = 14.335243126230921876705830616522 y[1] (numeric) = 14.335243126230921876705830616539 absolute error = 1.7e-29 relative error = 1.1858885022251943075626837152661e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.455 y[1] (analytic) = 14.337230550656620381346451309983 y[1] (numeric) = 14.33723055065662038134645131 absolute error = 1.7e-29 relative error = 1.1857241145655866836655047825477e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.456 y[1] (analytic) = 14.339218250616944499382058949035 y[1] (numeric) = 14.339218250616944499382058949052 absolute error = 1.7e-29 relative error = 1.1855597496933680770036334383936e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.457 y[1] (analytic) = 14.341206226150094088341943465311 y[1] (numeric) = 14.341206226150094088341943465327 absolute error = 1.6e-29 relative error = 1.1156662659815338387222799751486e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.458 y[1] (analytic) = 14.343194477294274301747185330428 y[1] (numeric) = 14.343194477294274301747185330444 absolute error = 1.6e-29 relative error = 1.1155116125162006753104082786051e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.459 y[1] (analytic) = 14.345183004087695589844886803423 y[1] (numeric) = 14.34518300408769558984488680344 absolute error = 1.7e-29 relative error = 1.1850667917694607103731159550741e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.46 y[1] (analytic) = 14.347171806568573700342504971307 y[1] (numeric) = 14.347171806568573700342504971324 memory used=309.0MB, alloc=4.4MB, time=15.31 absolute error = 1.7e-29 relative error = 1.1849025180152147117033650800723e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.461 y[1] (analytic) = 14.349160884775129679142286596842 y[1] (numeric) = 14.349160884775129679142286596859 absolute error = 1.7e-29 relative error = 1.1847382670325681886895942312713e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.462 y[1] (analytic) = 14.351150238745589871075804787676 y[1] (numeric) = 14.351150238745589871075804787693 absolute error = 1.7e-29 relative error = 1.1845740388183645461406861624768e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.463 y[1] (analytic) = 14.353139868518185920638597500935 y[1] (numeric) = 14.353139868518185920638597500952 absolute error = 1.7e-29 relative error = 1.1844098333694476264322044940120e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.464 y[1] (analytic) = 14.355129774131154772724907897396 y[1] (numeric) = 14.355129774131154772724907897412 absolute error = 1.6e-29 relative error = 1.1145841418189757265371654540220e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.465 y[1] (analytic) = 14.35711995562273867336252655936 y[1] (numeric) = 14.357119955622738673362526559377 absolute error = 1.7e-29 relative error = 1.1840814907548515125082550730798e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.466 y[1] (analytic) = 14.359110413031185170447735586359 y[1] (numeric) = 14.359110413031185170447735586376 absolute error = 1.7e-29 relative error = 1.1839173535828621903314621725237e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.467 y[1] (analytic) = 14.361101146394747114480354582793 y[1] (numeric) = 14.361101146394747114480354582811 absolute error = 1.8e-29 relative error = 1.2533857826437475311247751981569e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.468 y[1] (analytic) = 14.363092155751682659298888551661 y[1] (numeric) = 14.363092155751682659298888551678 absolute error = 1.7e-29 relative error = 1.1835891474937289756667031126272e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.469 y[1] (analytic) = 14.365083441140255262815777708475 y[1] (numeric) = 14.365083441140255262815777708492 absolute error = 1.7e-29 relative error = 1.1834250785702775789802210682474e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.47 y[1] (analytic) = 14.367075002598733687752749229525 y[1] (numeric) = 14.367075002598733687752749229542 absolute error = 1.7e-29 relative error = 1.1832610323900320485361791987583e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.471 y[1] (analytic) = 14.369066840165392002376270948596 y[1] (numeric) = 14.369066840165392002376270948613 absolute error = 1.7e-29 relative error = 1.1830970089498397250606991439435e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.472 y[1] (analytic) = 14.371058953878509581233107016286 y[1] (numeric) = 14.371058953878509581233107016303 absolute error = 1.7e-29 relative error = 1.1829330082465483863009872414122e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.473 y[1] (analytic) = 14.373051343776371105885975536062 y[1] (numeric) = 14.373051343776371105885975536079 absolute error = 1.7e-29 relative error = 1.1827690302770062469647547392272e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.474 y[1] (analytic) = 14.375044009897266565649308191188 y[1] (numeric) = 14.375044009897266565649308191204 absolute error = 1.6e-29 relative error = 1.1130400706240583140326083822031e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.475 y[1] (analytic) = 14.377036952279491258325111876659 y[1] (numeric) = 14.377036952279491258325111876675 absolute error = 1.6e-29 relative error = 1.1128857812014725739601670945206e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.476 y[1] (analytic) = 14.379030170961345790938932350301 y[1] (numeric) = 14.379030170961345790938932350317 absolute error = 1.6e-29 relative error = 1.1127315131664599771385217503068e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.477 y[1] (analytic) = 14.381023665981136080475919917157 y[1] (numeric) = 14.381023665981136080475919917173 absolute error = 1.6e-29 relative error = 1.1125772665160557818680026553315e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.478 y[1] (analytic) = 14.383017437377173354616997161327 y[1] (numeric) = 14.383017437377173354616997161342 absolute error = 1.5e-29 relative error = 1.0428966011693396788321153996589e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.479 y[1] (analytic) = 14.385011485187774152475128739391 y[1] (numeric) = 14.385011485187774152475128739406 absolute error = 1.5e-29 relative error = 1.0427520350223897037355723051388e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.48 y[1] (analytic) = 14.387005809451260325331693249581 y[1] (numeric) = 14.387005809451260325331693249596 absolute error = 1.5e-29 relative error = 1.0426074889151740805666674615392e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.481 y[1] (analytic) = 14.389000410205959037372957190842 y[1] (numeric) = 14.389000410205959037372957190858 absolute error = 1.6e-29 relative error = 1.1119604937012425651269082042875e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.482 y[1] (analytic) = 14.390995287490202766426651025944 y[1] (numeric) = 14.390995287490202766426651025959 absolute error = 1.5e-29 relative error = 1.0423184568088346570087200306467e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.483 y[1] (analytic) = 14.392990441342329304698647362784 y[1] (numeric) = 14.3929904413423293046986473628 absolute error = 1.6e-29 relative error = 1.1116522355244332829294778919931e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.484 y[1] (analytic) = 14.394985871800681759509741268069 y[1] (numeric) = 14.394985871800681759509741268085 absolute error = 1.6e-29 relative error = 1.1114981384833096453955791152868e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.485 y[1] (analytic) = 14.3969815789036085540325327275 y[1] (numeric) = 14.396981578903608554032532727515 absolute error = 1.5e-29 relative error = 1.0418850588778980618960435198956e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.486 y[1] (analytic) = 14.398977562689463428028411266641 y[1] (numeric) = 14.398977562689463428028411266657 absolute error = 1.6e-29 relative error = 1.1111900084808170998080409714097e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.487 y[1] (analytic) = 14.400973823196605438584642746645 y[1] (numeric) = 14.40097382319660543858464274666 absolute error = 1.5e-29 relative error = 1.0415962270439311051967543598490e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.488 y[1] (analytic) = 14.402970360463398960851558348968 y[1] (numeric) = 14.402970360463398960851558348984 absolute error = 1.6e-29 relative error = 1.1108819638982592790880955678912e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.489 y[1] (analytic) = 14.404967174528213688779845763285 y[1] (numeric) = 14.404967174528213688779845763301 absolute error = 1.6e-29 relative error = 1.1107279736320555866486314465208e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.49 y[1] (analytic) = 14.406964265429424635857942592728 y[1] (numeric) = 14.406964265429424635857942592745 absolute error = 1.7e-29 relative error = 1.1799848800064532833479163706263e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=312.8MB, alloc=4.4MB, time=15.50 x[1] = 3.491 y[1] (analytic) = 14.408961633205412135849531990664 y[1] (numeric) = 14.40896163320541213584953199068 absolute error = 1.6e-29 relative error = 1.1104200571350016200278225817100e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.492 y[1] (analytic) = 14.410959277894561843531140543146 y[1] (numeric) = 14.410959277894561843531140543162 absolute error = 1.6e-29 relative error = 1.1102661308982337694752122501561e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.493 y[1] (analytic) = 14.412957199535264735429838411245 y[1] (numeric) = 14.41295719953526473542983841126 absolute error = 1.5e-29 relative error = 1.0407302118737759125768665693724e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.494 y[1] (analytic) = 14.414955398165917110561041747414 y[1] (numeric) = 14.41495539816591711056104174743 absolute error = 1.6e-29 relative error = 1.1099583424334254689298014511137e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.495 y[1] (analytic) = 14.416953873824920591166417400087 y[1] (numeric) = 14.416953873824920591166417400103 absolute error = 1.6e-29 relative error = 1.1098044801994699031048716953500e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.496 y[1] (analytic) = 14.418952626550682123451889920668 y[1] (numeric) = 14.418952626550682123451889920684 absolute error = 1.6e-29 relative error = 1.1096506392938706663078472715991e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.497 y[1] (analytic) = 14.420951656381613978325750887119 y[1] (numeric) = 14.420951656381613978325750887135 absolute error = 1.6e-29 relative error = 1.1094968197136712254636309093102e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.498 y[1] (analytic) = 14.422950963356133752136870558312 y[1] (numeric) = 14.422950963356133752136870558329 absolute error = 1.7e-29 relative error = 1.1786769602969101734144320804143e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.499 y[1] (analytic) = 14.424950547512664367413011873349 y[1] (numeric) = 14.424950547512664367413011873366 absolute error = 1.7e-29 relative error = 1.1785135723000006264748805829279e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.5 y[1] (analytic) = 14.426950408889634073599246810019 y[1] (numeric) = 14.426950408889634073599246810036 absolute error = 1.7e-29 relative error = 1.1783502069519070260092946064789e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.501 y[1] (analytic) = 14.428950547525476447796475116603 y[1] (numeric) = 14.428950547525476447796475116621 absolute error = 1.8e-29 relative error = 1.2474919739112244910027909284556e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.502 y[1] (analytic) = 14.430950963458630395500045431211 y[1] (numeric) = 14.430950963458630395500045431228 absolute error = 1.7e-29 relative error = 1.1780235441896097998694276355472e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.503 y[1] (analytic) = 14.432951656727540151338478802835 y[1] (numeric) = 14.432951656727540151338478802853 absolute error = 1.8e-29 relative error = 1.2471461436379005845342160540350e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.504 y[1] (analytic) = 14.434952627370655279812294628346 y[1] (numeric) = 14.434952627370655279812294628364 absolute error = 1.8e-29 relative error = 1.2469732644546075361183190515819e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.505 y[1] (analytic) = 14.436953875426430676032939019592 y[1] (numeric) = 14.43695387542643067603293901961 absolute error = 1.8e-29 relative error = 1.2468004092357970533871664140105e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.506 y[1] (analytic) = 14.438955400933326566461815614834 y[1] (numeric) = 14.438955400933326566461815614852 absolute error = 1.8e-29 relative error = 1.2466275779781471839014785366269e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.507 y[1] (analytic) = 14.440957203929808509649418848704 y[1] (numeric) = 14.440957203929808509649418848722 absolute error = 1.8e-29 relative error = 1.2464547706783364357104498966900e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.508 y[1] (analytic) = 14.442959284454347396974569694894 y[1] (numeric) = 14.442959284454347396974569694912 absolute error = 1.8e-29 relative error = 1.2462819873330437772879162205695e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.509 y[1] (analytic) = 14.444961642545419453383753895783 y[1] (numeric) = 14.444961642545419453383753895801 absolute error = 1.8e-29 relative error = 1.2461092279389486374685304994017e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.51 y[1] (analytic) = 14.44696427824150623813056269321 y[1] (numeric) = 14.446964278241506238130562693227 absolute error = 1.7e-29 relative error = 1.1767177984653569661959507491246e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.511 y[1] (analytic) = 14.448967191581094645515236074603 y[1] (numeric) = 14.448967191581094645515236074621 absolute error = 1.8e-29 relative error = 1.2457637809910709303990192338952e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.512 y[1] (analytic) = 14.450970382602676905624308548686 y[1] (numeric) = 14.450970382602676905624308548704 absolute error = 1.8e-29 relative error = 1.2455910934306495220479939909766e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.513 y[1] (analytic) = 14.452973851344750585070357464957 y[1] (numeric) = 14.452973851344750585070357464975 absolute error = 1.8e-29 relative error = 1.2454184298081479499707312570124e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.514 y[1] (analytic) = 14.454977597845818587731853891176 y[1] (numeric) = 14.454977597845818587731853891195 absolute error = 1.9e-29 relative error = 1.3144261117935950518405268707261e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.515 y[1] (analytic) = 14.456981622144389155493116063076 y[1] (numeric) = 14.456981622144389155493116063094 absolute error = 1.8e-29 relative error = 1.2450731743636316933423090696576e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.516 y[1] (analytic) = 14.458985924278975868984365420497 y[1] (numeric) = 14.458985924278975868984365420516 absolute error = 1.9e-29 relative error = 1.3140617260091475062485511397488e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.517 y[1] (analytic) = 14.460990504288097648321885244209 y[1] (numeric) = 14.460990504288097648321885244227 absolute error = 1.8e-29 relative error = 1.2447280146309815173214116271413e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.518 y[1] (analytic) = 14.462995362210278753848281907594 y[1] (numeric) = 14.462995362210278753848281907612 absolute error = 1.8e-29 relative error = 1.2445554706483142704431028693924e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.519 y[1] (analytic) = 14.465000498084048786872848757463 y[1] (numeric) = 14.465000498084048786872848757481 absolute error = 1.8e-29 relative error = 1.2443829505836641363244692040166e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.52 y[1] (analytic) = 14.467005911947942690412032638202 y[1] (numeric) = 14.467005911947942690412032638221 absolute error = 1.9e-29 relative error = 1.3133332574578109148681500108734e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.521 y[1] (analytic) = 14.469011603840500749930003073499 y[1] (numeric) = 14.469011603840500749930003073518 absolute error = 1.9e-29 relative error = 1.3131512034282177103557262930446e-28 % Correct digits = 29 h = 0.001 NO POLE memory used=316.6MB, alloc=4.4MB, time=15.70 TOP MAIN SOLVE Loop x[1] = 3.522 y[1] (analytic) = 14.471017573800268594079324119867 y[1] (numeric) = 14.471017573800268594079324119886 absolute error = 1.9e-29 relative error = 1.3129691746349226829555049588787e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.523 y[1] (analytic) = 14.473023821865797195441728906214 y[1] (numeric) = 14.473023821865797195441728906232 absolute error = 1.8e-29 relative error = 1.2436931094389313928745153261607e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.524 y[1] (analytic) = 14.475030348075642871268996873679 y[1] (numeric) = 14.475030348075642871268996873697 absolute error = 1.8e-29 relative error = 1.2435207089146433424178985977339e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.525 y[1] (analytic) = 14.477037152468367284223933729995 y[1] (numeric) = 14.477037152468367284223933730012 absolute error = 1.7e-29 relative error = 1.1742734249391258828914915474284e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.526 y[1] (analytic) = 14.479044235082537443121454132588 y[1] (numeric) = 14.479044235082537443121454132605 absolute error = 1.7e-29 relative error = 1.1741106473595280033499579446985e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.527 y[1] (analytic) = 14.48105159595672570366976711469 y[1] (numeric) = 14.481051595956725703669767114707 absolute error = 1.7e-29 relative error = 1.1739478923441301278386490061303e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.528 y[1] (analytic) = 14.483059235129509769211664268679 y[1] (numeric) = 14.483059235129509769211664268696 absolute error = 1.7e-29 relative error = 1.1737851598898044108454269529087e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.529 y[1] (analytic) = 14.485067152639472691465910700909 y[1] (numeric) = 14.485067152639472691465910700927 absolute error = 1.8e-29 relative error = 1.2426590646989189369360039986359e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.53 y[1] (analytic) = 14.48707534852520287126873877228 y[1] (numeric) = 14.487075348525202871268738772297 absolute error = 1.7e-29 relative error = 1.1734597626518602382116160367654e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.531 y[1] (analytic) = 14.489083822825294059315444638781 y[1] (numeric) = 14.489083822825294059315444638798 absolute error = 1.7e-29 relative error = 1.1732970978619882592133746583639e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.532 y[1] (analytic) = 14.491092575578345356902087606282 y[1] (numeric) = 14.491092575578345356902087606299 absolute error = 1.7e-29 relative error = 1.1731344556206813918977341683653e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.533 y[1] (analytic) = 14.493101606822961216667292313809 y[1] (numeric) = 14.493101606822961216667292313826 absolute error = 1.7e-29 relative error = 1.1729718359248139580586369298428e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.534 y[1] (analytic) = 14.495110916597751443334153759567 y[1] (numeric) = 14.495110916597751443334153759584 absolute error = 1.7e-29 relative error = 1.1728092387712607127709990367363e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.535 y[1] (analytic) = 14.49712050494133119445224518397 y[1] (numeric) = 14.497120504941331194452245183987 absolute error = 1.7e-29 relative error = 1.1726466641568968443306489800168e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.536 y[1] (analytic) = 14.499130371892320981139728823932 y[1] (numeric) = 14.499130371892320981139728823949 absolute error = 1.7e-29 relative error = 1.1724841120785979741942746395423e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.537 y[1] (analytic) = 14.501140517489346668825569552691 y[1] (numeric) = 14.501140517489346668825569552708 absolute error = 1.7e-29 relative error = 1.1723215825332401569193786004512e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.538 y[1] (analytic) = 14.503150941771039477991851419414 y[1] (numeric) = 14.503150941771039477991851419431 absolute error = 1.7e-29 relative error = 1.1721590755176998801042417929401e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.539 y[1] (analytic) = 14.50516164477603598491619710287 y[1] (numeric) = 14.505161644776035984916197102887 absolute error = 1.7e-29 relative error = 1.1719965910288540643278954542702e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.54 y[1] (analytic) = 14.507172626542978122414290293418 y[1] (numeric) = 14.507172626542978122414290293434 absolute error = 1.6e-29 relative error = 1.1029027097068988829083307405664e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.541 y[1] (analytic) = 14.509183887110513180582501017592 y[1] (numeric) = 14.509183887110513180582501017609 absolute error = 1.7e-29 relative error = 1.1716716896187556627513406862496e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.542 y[1] (analytic) = 14.51119542651729380754061391956 y[1] (numeric) = 14.511195426517293807540613919576 absolute error = 1.6e-29 relative error = 1.1025969625329497246802921533730e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.543 y[1] (analytic) = 14.513207244801978010174659513707 y[1] (numeric) = 14.513207244801978010174659513724 absolute error = 1.7e-29 relative error = 1.1713468782779689741564290817979e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.544 y[1] (analytic) = 14.515219342003229154879848422653 y[1] (numeric) = 14.51521934200322915487984842267 absolute error = 1.7e-29 relative error = 1.1711845063757644223848500927629e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.545 y[1] (analytic) = 14.517231718159715968303608614946 y[1] (numeric) = 14.517231718159715968303608614964 absolute error = 1.8e-29 relative error = 1.2399058132745558234415708993822e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.546 y[1] (analytic) = 14.519244373310112538088725656747 y[1] (numeric) = 14.519244373310112538088725656764 absolute error = 1.7e-29 relative error = 1.1708598300921304898505268331006e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.547 y[1] (analytic) = 14.52125730749309831361658599175 y[1] (numeric) = 14.521257307493098313616585991768 absolute error = 1.8e-29 relative error = 1.2395620860400179964768259895755e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.548 y[1] (analytic) = 14.523270520747358106750523263663 y[1] (numeric) = 14.523270520747358106750523263681 absolute error = 1.8e-29 relative error = 1.2393902581574808842119111622208e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.549 y[1] (analytic) = 14.525284013111582092579267695494 y[1] (numeric) = 14.525284013111582092579267695512 absolute error = 1.8e-29 relative error = 1.2392184540936952081977428186583e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.55 y[1] (analytic) = 14.527297784624465810160498539962 y[1] (numeric) = 14.52729778462446581016049853998 absolute error = 1.8e-29 relative error = 1.2390466738453592172190642526160e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.551 y[1] (analytic) = 14.529311835324710163264499615305 y[1] (numeric) = 14.529311835324710163264499615323 absolute error = 1.8e-29 relative error = 1.2388749174091716177488026505173e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.552 y[1] (analytic) = 14.531326165251021421117917940783 y[1] (numeric) = 14.531326165251021421117917940801 absolute error = 1.8e-29 relative error = 1.2387031847818315738846244343831e-28 % memory used=320.4MB, alloc=4.4MB, time=15.89 Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.553 y[1] (analytic) = 14.533340774442111219147625486169 y[1] (numeric) = 14.533340774442111219147625486187 absolute error = 1.8e-29 relative error = 1.2385314759600387072854993994212e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.554 y[1] (analytic) = 14.53535566293669655972468404952 y[1] (numeric) = 14.535355662936696559724684049538 absolute error = 1.8e-29 relative error = 1.2383597909404930971082736450838e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.555 y[1] (analytic) = 14.537370830773499812908413277532 y[1] (numeric) = 14.537370830773499812908413277551 absolute error = 1.9e-29 relative error = 1.3069763591487783510522652593956e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.556 y[1] (analytic) = 14.539386277991248717190561842776 y[1] (numeric) = 14.539386277991248717190561842795 absolute error = 1.9e-29 relative error = 1.3067951863113321525199953075309e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.557 y[1] (analytic) = 14.541402004628676380239581792111 y[1] (numeric) = 14.54140200462867638023958179213 absolute error = 1.9e-29 relative error = 1.3066140385880334276913684244224e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.558 y[1] (analytic) = 14.543418010724521279645006080585 y[1] (numeric) = 14.543418010724521279645006080604 absolute error = 1.9e-29 relative error = 1.3064329159754008577758775334345e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.559 y[1] (analytic) = 14.545434296317527263661929305131 y[1] (numeric) = 14.545434296317527263661929305149 absolute error = 1.8e-29 relative error = 1.2375017227610086799016244000987e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.56 y[1] (analytic) = 14.547450861446443551955591652351 y[1] (numeric) = 14.547450861446443551955591652369 absolute error = 1.8e-29 relative error = 1.2373301804856738824410401598827e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.561 y[1] (analytic) = 14.549467706150024736346066074721 y[1] (numeric) = 14.549467706150024736346066074739 absolute error = 1.8e-29 relative error = 1.2371586619894997001147866894174e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.562 y[1] (analytic) = 14.551484830467030781553048709504 y[1] (numeric) = 14.551484830467030781553048709523 absolute error = 1.9e-29 relative error = 1.3057086765619226403237564572211e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.563 y[1] (analytic) = 14.553502234436227025940752554705 y[1] (numeric) = 14.553502234436227025940752554723 absolute error = 1.8e-29 relative error = 1.2368156963214485852228477085321e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.564 y[1] (analytic) = 14.555519918096384182262904416363 y[1] (numeric) = 14.555519918096384182262904416381 absolute error = 1.8e-29 relative error = 1.2366442491429804970911812941519e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.565 y[1] (analytic) = 14.557537881486278338407845141523 y[1] (numeric) = 14.557537881486278338407845141542 absolute error = 1.9e-29 relative error = 1.3051657604932957524371705646303e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.566 y[1] (analytic) = 14.559556124644690958143733151184 y[1] (numeric) = 14.559556124644690958143733151202 absolute error = 1.8e-29 relative error = 1.2363014260806847966421960154376e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.567 y[1] (analytic) = 14.561574647610408881863851287549 y[1] (numeric) = 14.561574647610408881863851287568 absolute error = 1.9e-29 relative error = 1.3048039418675059232275836228772e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.568 y[1] (analytic) = 14.563593450422224327332016989923 y[1] (numeric) = 14.563593450422224327332016989942 absolute error = 1.9e-29 relative error = 1.3046230701701685034180605888463e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.569 y[1] (analytic) = 14.565612533118934890428095813545 y[1] (numeric) = 14.565612533118934890428095813564 absolute error = 1.9e-29 relative error = 1.3044422235452345673812292574866e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.57 y[1] (analytic) = 14.567631895739343545893618305716 y[1] (numeric) = 14.567631895739343545893618305735 absolute error = 1.9e-29 relative error = 1.3042614019892285828712657640549e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.571 y[1] (analytic) = 14.569651538322258648077500253538 y[1] (numeric) = 14.569651538322258648077500253557 absolute error = 1.9e-29 relative error = 1.3040806054986754994200266157530e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.572 y[1] (analytic) = 14.57167146090649393168186631759 y[1] (numeric) = 14.571671460906493931681866317609 absolute error = 1.9e-29 relative error = 1.3038998340701007482702647527829e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.573 y[1] (analytic) = 14.573691663530868512507977065889 y[1] (numeric) = 14.573691663530868512507977065907 absolute error = 1.8e-29 relative error = 1.2351022936105549663978625055609e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.574 y[1] (analytic) = 14.575712146234206888202259422454 y[1] (numeric) = 14.575712146234206888202259422472 absolute error = 1.8e-29 relative error = 1.2349310839436750930526580832330e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.575 y[1] (analytic) = 14.577732909055338939002440544829 y[1] (numeric) = 14.577732909055338939002440544847 absolute error = 1.8e-29 relative error = 1.2347598980098497081965828750330e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.576 y[1] (analytic) = 14.579753952033099928483785144888 y[1] (numeric) = 14.579753952033099928483785144907 absolute error = 1.9e-29 relative error = 1.3031769989061105476833011227542e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.577 y[1] (analytic) = 14.581775275206330504305436267274 y[1] (numeric) = 14.581775275206330504305436267293 absolute error = 1.9e-29 relative error = 1.3029963527353257818898855654301e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.578 y[1] (analytic) = 14.583796878613876698956859539805 y[1] (numeric) = 14.583796878613876698956859539824 absolute error = 1.9e-29 relative error = 1.3028157316056820480445557399317e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.579 y[1] (analytic) = 14.585818762294589930504390910207 y[1] (numeric) = 14.585818762294589930504390910225 absolute error = 1.8e-29 relative error = 1.2340753915393024555236317070711e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.58 y[1] (analytic) = 14.587840926287327003337887883505 y[1] (numeric) = 14.587840926287327003337887883523 absolute error = 1.8e-29 relative error = 1.2339043242214105542074513622557e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.581 y[1] (analytic) = 14.589863370630950108917484274436 y[1] (numeric) = 14.589863370630950108917484274454 absolute error = 1.8e-29 relative error = 1.2337332806168407492235260828796e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.582 y[1] (analytic) = 14.591886095364326826520448489222 y[1] (numeric) = 14.59188609536432682652044848924 absolute error = 1.8e-29 relative error = 1.2335622607223059039535116524398e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=324.2MB, alloc=4.4MB, time=16.08 x[1] = 3.583 y[1] (analytic) = 14.593909100526330123988145351065 y[1] (numeric) = 14.593909100526330123988145351084 absolute error = 1.9e-29 relative error = 1.3019130014531037450770067799891e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.584 y[1] (analytic) = 14.59593238615583835847310148372 y[1] (numeric) = 14.595932386155838358473101483739 absolute error = 1.9e-29 relative error = 1.3017325304974278701263534563698e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.585 y[1] (analytic) = 14.597955952291735277186174267491 y[1] (numeric) = 14.59795595229173527718617426751 absolute error = 1.9e-29 relative error = 1.3015520845586047389546920121987e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.586 y[1] (analytic) = 14.599979798972910018143824382027 y[1] (numeric) = 14.599979798972910018143824382046 absolute error = 1.9e-29 relative error = 1.3013716636331665197501937694505e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.587 y[1] (analytic) = 14.602003926238257110915491950267 y[1] (numeric) = 14.602003926238257110915491950285 absolute error = 1.8e-29 relative error = 1.2327075167851381844948945589375e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.588 y[1] (analytic) = 14.604028334126676477371076297895 y[1] (numeric) = 14.604028334126676477371076297914 absolute error = 1.9e-29 relative error = 1.3010108968085758934799739039809e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.589 y[1] (analytic) = 14.606053022677073432428519342688 y[1] (numeric) = 14.606053022677073432428519342707 absolute error = 1.9e-29 relative error = 1.3008305509024902260752979753673e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.59 y[1] (analytic) = 14.608077991928358684801492628096 y[1] (numeric) = 14.608077991928358684801492628116 absolute error = 2.0e-29 relative error = 1.3691055052588662629754025296141e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.591 y[1] (analytic) = 14.610103241919448337747188015454 y[1] (numeric) = 14.610103241919448337747188015473 absolute error = 1.9e-29 relative error = 1.3004699340854086358071188570758e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.592 y[1] (analytic) = 14.612128772689263889814212049167 y[1] (numeric) = 14.612128772689263889814212049186 absolute error = 1.9e-29 relative error = 1.3002896631674823354670590467993e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.593 y[1] (analytic) = 14.614154584276732235590584009269 y[1] (numeric) = 14.614154584276732235590584009289 absolute error = 2.0e-29 relative error = 1.3685362286722942953340262343783e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.594 y[1] (analytic) = 14.616180676720785666451837665713 y[1] (numeric) = 14.616180676720785666451837665733 absolute error = 2.0e-29 relative error = 1.3683465224163540874871348498637e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.595 y[1] (analytic) = 14.618207050060361871309226748769 y[1] (numeric) = 14.618207050060361871309226748789 absolute error = 2.0e-29 relative error = 1.3681568424574623529323142705292e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.596 y[1] (analytic) = 14.620233704334403937358034149924 y[1] (numeric) = 14.620233704334403937358034149944 absolute error = 2.0e-29 relative error = 1.3679671887919737993465499474573e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.597 y[1] (analytic) = 14.622260639581860350825984867649 y[1] (numeric) = 14.622260639581860350825984867669 absolute error = 2.0e-29 relative error = 1.3677775614162436397166203195094e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 83.67 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 3.598 y[1] (analytic) = 14.624287855841684997721762712424 y[1] (numeric) = 14.624287855841684997721762712444 absolute error = 2.0e-29 relative error = 1.3675879603266275922690508569901e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.599 y[1] (analytic) = 14.626315353152837164583630785405 y[1] (numeric) = 14.626315353152837164583630785425 absolute error = 2.0e-29 relative error = 1.3673983855194818804000778150697e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.6 y[1] (analytic) = 14.628343131554281539228155745119 y[1] (numeric) = 14.628343131554281539228155745139 absolute error = 2.0e-29 relative error = 1.3672088369911632326056216956191e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.601 y[1] (analytic) = 14.630371191084988211499035876579 y[1] (numeric) = 14.6303711910849882114990358766 absolute error = 2.1e-29 relative error = 1.4353702804749303265318339369170e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.602 y[1] (analytic) = 14.632399531783932674016032977206 y[1] (numeric) = 14.632399531783932674016032977227 absolute error = 2.1e-29 relative error = 1.4351713096942583967173857934565e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.603 y[1] (analytic) = 14.63442815369009582292400807395 y[1] (numeric) = 14.634428153690095822924008073971 absolute error = 2.1e-29 relative error = 1.4349723664948817603362149807858e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.604 y[1] (analytic) = 14.636457056842463958642060986014 y[1] (numeric) = 14.636457056842463958642060986035 absolute error = 2.1e-29 relative error = 1.4347734508729771029926370384860e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.605 y[1] (analytic) = 14.638486241280028786612773747568 y[1] (numeric) = 14.638486241280028786612773747589 absolute error = 2.1e-29 relative error = 1.4345745628247216402781494978527e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.606 y[1] (analytic) = 14.640515707041787418051557904858 y[1] (numeric) = 14.640515707041787418051557904879 absolute error = 2.1e-29 relative error = 1.4343757023462931176979651501526e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.607 y[1] (analytic) = 14.642545454166742370696105702107 y[1] (numeric) = 14.642545454166742370696105702128 absolute error = 2.1e-29 relative error = 1.4341768694338698105975554988273e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.608 y[1] (analytic) = 14.644575482693901569555945170614 y[1] (numeric) = 14.644575482693901569555945170635 absolute error = 2.1e-29 relative error = 1.4339780640836305240892043942298e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.609 y[1] (analytic) = 14.646605792662278347662099135457 y[1] (numeric) = 14.646605792662278347662099135478 absolute error = 2.1e-29 relative error = 1.4337792862917545929785718494841e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.61 y[1] (analytic) = 14.648636384110891446816848154201 y[1] (numeric) = 14.648636384110891446816848154223 absolute error = 2.2e-29 relative error = 1.5018462758665372093908522282495e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.611 y[1] (analytic) = 14.650667257078765018343597402032 y[1] (numeric) = 14.650667257078765018343597402054 absolute error = 2.2e-29 relative error = 1.5016380901948514882089344794162e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.612 y[1] (analytic) = 14.65269841160492862383684751771 y[1] (numeric) = 14.652698411604928623836847517732 absolute error = 2.2e-29 relative error = 1.5014299333818276631839891723081e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.613 y[1] (analytic) = 14.654729847728417235912269424774 y[1] (numeric) = 14.654729847728417235912269424795 absolute error = 2.1e-29 relative error = 1.4329844506314896537830219615629e-28 % Correct digits = 29 h = 0.001 NO POLE memory used=328.0MB, alloc=4.4MB, time=16.27 TOP MAIN SOLVE Loop x[1] = 3.614 y[1] (analytic) = 14.656761565488271238956883142393 y[1] (numeric) = 14.656761565488271238956883142414 absolute error = 2.1e-29 relative error = 1.4327858105741390558747977451734e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.615 y[1] (analytic) = 14.658793564923536429879340600307 y[1] (numeric) = 14.658793564923536429879340600329 absolute error = 2.2e-29 relative error = 1.5008056360547265102979128699841e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 2.404e+29 TOP MAIN SOLVE Loop x[1] = 3.616 y[1] (analytic) = 14.66082584607326401886031247225 y[1] (numeric) = 14.660825846073264018860312472272 absolute error = 2.2e-29 relative error = 1.5005975946363519875021386143843e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 2.404e+29 TOP MAIN SOLVE Loop x[1] = 3.617 y[1] (analytic) = 14.662858408976510630102979042286 y[1] (numeric) = 14.662858408976510630102979042308 absolute error = 2.2e-29 relative error = 1.5003895820566429917493289194030e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.618 y[1] (analytic) = 14.66489125367233830258362511849 y[1] (numeric) = 14.664891253672338302583625118512 absolute error = 2.2e-29 relative error = 1.5001815983116019121989180863366e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.619 y[1] (analytic) = 14.666924380199814490802339008389 y[1] (numeric) = 14.666924380199814490802339008411 absolute error = 2.2e-29 relative error = 1.4999736433972316921584655307513e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.62 y[1] (analytic) = 14.668957788598012065533815570589 y[1] (numeric) = 14.668957788598012065533815570611 absolute error = 2.2e-29 relative error = 1.4997657173095358290068398649733e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 22.36 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 3.621 y[1] (analytic) = 14.670991478906009314578263357026 y[1] (numeric) = 14.670991478906009314578263357048 absolute error = 2.2e-29 relative error = 1.4995578200445183741174136287868e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.622 y[1] (analytic) = 14.673025451162889943512415860261 y[1] (numeric) = 14.673025451162889943512415860283 absolute error = 2.2e-29 relative error = 1.4993499515981839327812686668668e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.623 y[1] (analytic) = 14.675059705407743076440646880262 y[1] (numeric) = 14.675059705407743076440646880284 absolute error = 2.2e-29 relative error = 1.4991421119665376641304121514680e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.624 y[1] (analytic) = 14.677094241679663256746190025102 y[1] (numeric) = 14.677094241679663256746190025123 absolute error = 2.1e-29 relative error = 1.4308009238207859501036849194005e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.625 y[1] (analytic) = 14.679129060017750447842462360007 y[1] (numeric) = 14.679129060017750447842462360028 absolute error = 2.1e-29 relative error = 1.4306025864435451842403817724529e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 3.626 y[1] (analytic) = 14.68116416046111003392449221921 y[1] (numeric) = 14.681164160461110033924492219231 absolute error = 2.1e-29 relative error = 1.4304042765597974374472067106932e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.627 y[1] (analytic) = 14.683199543048852820720451195026 y[1] (numeric) = 14.683199543048852820720451195047 absolute error = 2.1e-29 relative error = 1.4302059941657315664646012260480e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.628 y[1] (analytic) = 14.685235207820095036243290318614 y[1] (numeric) = 14.685235207820095036243290318634 absolute error = 2.0e-29 relative error = 1.3619121326262256726981219161438e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.629 y[1] (analytic) = 14.687271154813958331542480446852 y[1] (numeric) = 14.687271154813958331542480446872 absolute error = 2.0e-29 relative error = 1.3617233446013366860187981957517e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.63 y[1] (analytic) = 14.689307384069569781455856869796 y[1] (numeric) = 14.689307384069569781455856869816 absolute error = 2.0e-29 relative error = 1.3615345827462111427100458870221e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.631 y[1] (analytic) = 14.691343895626061885361568153147 y[1] (numeric) = 14.691343895626061885361568153167 absolute error = 2.0e-29 relative error = 1.3613458470572213946777409478829e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.632 y[1] (analytic) = 14.693380689522572567930129230187 y[1] (numeric) = 14.693380689522572567930129230207 absolute error = 2.0e-29 relative error = 1.3611571375307402966917123589441e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.633 y[1] (analytic) = 14.695417765798245179876578757648 y[1] (numeric) = 14.695417765798245179876578757668 absolute error = 2.0e-29 relative error = 1.3609684541631412063160352090755e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.634 y[1] (analytic) = 14.697455124492228498712740749948 y[1] (numeric) = 14.697455124492228498712740749968 absolute error = 2.0e-29 relative error = 1.3607797969507979838393334437454e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 3.635 y[1] (analytic) = 14.699492765643676729499590506268 y[1] (numeric) = 14.699492765643676729499590506288 absolute error = 2.0e-29 relative error = 1.3605911658900849922050922747806e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.636 y[1] (analytic) = 14.701530689291749505599724844922 y[1] (numeric) = 14.701530689291749505599724844942 absolute error = 2.0e-29 relative error = 1.3604025609773770969419802502073e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 1.343e+16 Order of pole = 2.705e+29 TOP MAIN SOLVE Loop x[1] = 3.637 y[1] (analytic) = 14.703568895475611889429936659482 y[1] (numeric) = 14.703568895475611889429936659503 absolute error = 2.1e-29 relative error = 1.4282246813195021493988900319774e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.638 y[1] (analytic) = 14.705607384234434373213893811123 y[1] (numeric) = 14.705607384234434373213893811143 absolute error = 2.0e-29 relative error = 1.3600254295814785701517345362466e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.639 y[1] (analytic) = 14.707646155607392879734922371644 y[1] (numeric) = 14.707646155607392879734922371664 absolute error = 2.0e-29 relative error = 1.3598369030910401819808884668461e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.64 y[1] (analytic) = 14.70968520963366876308889423165 y[1] (numeric) = 14.70968520963366876308889423167 absolute error = 2.0e-29 relative error = 1.3596484027341113767544585206434e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.641 y[1] (analytic) = 14.711724546352448809437219088346 y[1] (numeric) = 14.711724546352448809437219088366 absolute error = 2.0e-29 relative error = 1.3594599285070695318821989834191e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 3.798e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 3.642 y[1] (analytic) = 14.713764165802925237759940827424 y[1] (numeric) = 14.713764165802925237759940827444 absolute error = 2.0e-29 relative error = 1.3592714804062925269411826829427e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.643 y[1] (analytic) = 14.715804068024295700608938313515 y[1] (numeric) = 14.715804068024295700608938313535 absolute error = 2.0e-29 relative error = 1.3590830584281587436061906419021e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=331.8MB, alloc=4.4MB, time=16.47 x[1] = 3.644 y[1] (analytic) = 14.717844253055763284861230603675 y[1] (numeric) = 14.717844253055763284861230603695 absolute error = 2.0e-29 relative error = 1.3588946625690470655801113802082e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.645 y[1] (analytic) = 14.719884720936536512472386598394 y[1] (numeric) = 14.719884720936536512472386598413 absolute error = 1.9e-29 relative error = 1.2907709781840700345981323720682e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.646 y[1] (analytic) = 14.721925471705829341230039144591 y[1] (numeric) = 14.72192547170582934123003914461 absolute error = 1.9e-29 relative error = 1.2905920517337376664897838038918e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.647 y[1] (analytic) = 14.723966505402861165507503605094 y[1] (numeric) = 14.723966505402861165507503605114 absolute error = 2.0e-29 relative error = 1.3583296316696410293445034113658e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.648 y[1] (analytic) = 14.726007822066856817017500909078 y[1] (numeric) = 14.726007822066856817017500909097 absolute error = 1.9e-29 relative error = 1.2902342732378958153241449316748e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.649 y[1] (analytic) = 14.728049421737046565565985097934 y[1] (numeric) = 14.728049421737046565565985097954 absolute error = 2.0e-29 relative error = 1.3579530749321163178843677819308e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.65 y[1] (analytic) = 14.730091304452666119806075381094 y[1] (numeric) = 14.730091304452666119806075381113 absolute error = 1.9e-29 relative error = 1.2898765939255658375652277199502e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.651 y[1] (analytic) = 14.732133470252956627992092716251 y[1] (numeric) = 14.73213347025295662799209271627 absolute error = 1.9e-29 relative error = 1.2896977914546250982034300580187e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.652 y[1] (analytic) = 14.73417591917716467873370092851 y[1] (numeric) = 14.73417591917716467873370092853 absolute error = 2.0e-29 relative error = 1.3573884355465810910072349769059e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.653 y[1] (analytic) = 14.736218651264542301750152382937 y[1] (numeric) = 14.736218651264542301750152382956 absolute error = 1.9e-29 relative error = 1.2893402608660108812097025092987e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.654 y[1] (analytic) = 14.738261666554346968624638225 y[1] (numeric) = 14.738261666554346968624638225019 absolute error = 1.9e-29 relative error = 1.2891615327414663376120625755431e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.655 y[1] (analytic) = 14.740304965085841593558743203425 y[1] (numeric) = 14.740304965085841593558743203445 absolute error = 2.0e-29 relative error = 1.3568240309391406179095553521186e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.656 y[1] (analytic) = 14.742348546898294534127005089935 y[1] (numeric) = 14.742348546898294534127005089955 absolute error = 2.0e-29 relative error = 1.3566359482260297756840425461318e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.657 y[1] (analytic) = 14.744392412030979592031578710389 y[1] (numeric) = 14.744392412030979592031578710409 absolute error = 2.0e-29 relative error = 1.3564478915849121798120116604088e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.658 y[1] (analytic) = 14.746436560523176013857004601826 y[1] (numeric) = 14.746436560523176013857004601846 absolute error = 2.0e-29 relative error = 1.3562598610121737350871833851808e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.659 y[1] (analytic) = 14.748480992414168491825082309912 y[1] (numeric) = 14.748480992414168491825082309933 absolute error = 2.1e-29 relative error = 1.4238754493294108896529590811676e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.66 y[1] (analytic) = 14.750525707743247164549848341304 y[1] (numeric) = 14.750525707743247164549848341325 absolute error = 2.1e-29 relative error = 1.4236780719602494442663832342961e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.661 y[1] (analytic) = 14.752570706549707617792658785431 y[1] (numeric) = 14.752570706549707617792658785452 absolute error = 2.1e-29 relative error = 1.4234807219515048636000256545200e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.662 y[1] (analytic) = 14.754615988872850885217376620215 y[1] (numeric) = 14.754615988872850885217376620235 absolute error = 2.0e-29 relative error = 1.3555079993327470965598929649159e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.663 y[1] (analytic) = 14.756661554751983449145663716234 y[1] (numeric) = 14.756661554751983449145663716254 absolute error = 2.0e-29 relative error = 1.3553200990477105115303547790286e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.664 y[1] (analytic) = 14.758707404226417241312377553854 y[1] (numeric) = 14.758707404226417241312377553874 absolute error = 2.0e-29 relative error = 1.3551322248093790246703881169224e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.665 y[1] (analytic) = 14.760753537335469643621072667834 y[1] (numeric) = 14.760753537335469643621072667854 absolute error = 2.0e-29 relative error = 1.3549443766141420462124526088993e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.666 y[1] (analytic) = 14.762799954118463488899606833936 y[1] (numeric) = 14.762799954118463488899606833956 absolute error = 2.0e-29 relative error = 1.3547565544583894868883386195487e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.667 y[1] (analytic) = 14.764846654614727061655852012052 y[1] (numeric) = 14.764846654614727061655852012072 absolute error = 2.0e-29 relative error = 1.3545687583385117578597881168592e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.668 y[1] (analytic) = 14.766893638863594098833510060376 y[1] (numeric) = 14.766893638863594098833510060396 absolute error = 2.0e-29 relative error = 1.3543809882508997706491251586537e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.669 y[1] (analytic) = 14.768940906904403790568033235144 y[1] (numeric) = 14.768940906904403790568033235164 absolute error = 2.0e-29 relative error = 1.3541932441919449370698959950144e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.67 y[1] (analytic) = 14.770988458776500780942649490476 y[1] (numeric) = 14.770988458776500780942649490496 absolute error = 2.0e-29 relative error = 1.3540055261580391691575187853650e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 3.798e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 3.671 y[1] (analytic) = 14.773036294519235168744492592835 y[1] (numeric) = 14.773036294519235168744492592855 absolute error = 2.0e-29 relative error = 1.3538178341455748790999429288767e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.672 y[1] (analytic) = 14.775084414171962508220837064651 y[1] (numeric) = 14.775084414171962508220837064671 absolute error = 2.0e-29 relative error = 1.3536301681509449791683180068669e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.673 y[1] (analytic) = 14.777132817774043809835437971635 y[1] (numeric) = 14.777132817774043809835437971655 absolute error = 2.0e-29 relative error = 1.3534425281705428816476723358554e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.674 y[1] (analytic) = 14.779181505364845541024975568313 y[1] (numeric) = 14.779181505364845541024975568333 absolute error = 2.0e-29 relative error = 1.3532549142007624987676011299497e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=335.7MB, alloc=4.4MB, time=16.66 TOP MAIN SOLVE Loop x[1] = 3.675 y[1] (analytic) = 14.781230476983739626955604816332 y[1] (numeric) = 14.781230476983739626955604816353 absolute error = 2.1e-29 relative error = 1.4207206925498981547646124847848e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.676 y[1] (analytic) = 14.783279732670103451279609790066 y[1] (numeric) = 14.783279732670103451279609790086 absolute error = 2.0e-29 relative error = 1.3528797642786450251545936867594e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.677 y[1] (analytic) = 14.78532927246331985689216298406 y[1] (numeric) = 14.78532927246331985689216298408 absolute error = 2.0e-29 relative error = 1.3526922283190982579800103310226e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.678 y[1] (analytic) = 14.787379096402777146688189536876 y[1] (numeric) = 14.787379096402777146688189536896 absolute error = 2.0e-29 relative error = 1.3525047183557538524241507722346e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.679 y[1] (analytic) = 14.789429204527869084319336385861 y[1] (numeric) = 14.789429204527869084319336385881 absolute error = 2.0e-29 relative error = 1.3523172343850082194001033814156e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.68 y[1] (analytic) = 14.791479596877994894951046367399 y[1] (numeric) = 14.791479596877994894951046367419 absolute error = 2.0e-29 relative error = 1.3521297764032582693498541227645e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.681 y[1] (analytic) = 14.793530273492559266019737277197 y[1] (numeric) = 14.793530273492559266019737277218 absolute error = 2.1e-29 relative error = 1.4195394616272464827837940412476e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.682 y[1] (analytic) = 14.795581234410972347990085905152 y[1] (numeric) = 14.795581234410972347990085905173 absolute error = 2.1e-29 relative error = 1.4193426853119523350261099539318e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.683 y[1] (analytic) = 14.797632479672649755112417059348 y[1] (numeric) = 14.797632479672649755112417059369 absolute error = 2.1e-29 relative error = 1.4191459362737570685882065203535e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.684 y[1] (analytic) = 14.799684009317012566180197593756 y[1] (numeric) = 14.799684009317012566180197593777 absolute error = 2.1e-29 relative error = 1.4189492145088795367285712724409e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.685 y[1] (analytic) = 14.80173582338348732528763545417 y[1] (numeric) = 14.801735823383487325287635454191 absolute error = 2.1e-29 relative error = 1.4187525200135391168476007866154e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.686 y[1] (analytic) = 14.803787921911506042587383756963 y[1] (numeric) = 14.803787921911506042587383756984 absolute error = 2.1e-29 relative error = 1.4185558527839557104149442227764e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.687 y[1] (analytic) = 14.805840304940506195048349915207 y[1] (numeric) = 14.805840304940506195048349915228 absolute error = 2.1e-29 relative error = 1.4183592128163497428968569349123e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.688 y[1] (analytic) = 14.807892972509930727213609826727 y[1] (numeric) = 14.807892972509930727213609826747 absolute error = 2.0e-29 relative error = 1.3506310477208972987462515732777e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.689 y[1] (analytic) = 14.809945924659228051958427138656 y[1] (numeric) = 14.809945924659228051958427138676 absolute error = 2.0e-29 relative error = 1.3504438234780518533491759308458e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.69 y[1] (analytic) = 14.811999161427852051248377603061 y[1] (numeric) = 14.811999161427852051248377603082 absolute error = 2.1e-29 relative error = 1.4177694564476085869163649564939e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.691 y[1] (analytic) = 14.814052682855262076897578538201 y[1] (numeric) = 14.814052682855262076897578538222 absolute error = 2.1e-29 relative error = 1.4175729254901271071091724593757e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.692 y[1] (analytic) = 14.816106488980922951327023409993 y[1] (numeric) = 14.816106488980922951327023410013 absolute error = 2.0e-29 relative error = 1.3498823064530790961476191703128e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.693 y[1] (analytic) = 14.818160579844304968323021548264 y[1] (numeric) = 14.818160579844304968323021548284 absolute error = 2.0e-29 relative error = 1.3496951860006190346426001346486e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.694 y[1] (analytic) = 14.820214955484883893795743012364 y[1] (numeric) = 14.820214955484883893795743012385 absolute error = 2.1e-29 relative error = 1.4169834960611020047776080302087e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.695 y[1] (analytic) = 14.82226961594214096653786862071 y[1] (numeric) = 14.822269615942140966537868620731 absolute error = 2.1e-29 relative error = 1.4167870740533137209886768185093e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.696 y[1] (analytic) = 14.824324561255562898983345158847 y[1] (numeric) = 14.824324561255562898983345158867 absolute error = 2.0e-29 relative error = 1.3491339802604859744535440113773e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.697 y[1] (analytic) = 14.826379791464641877966245780605 y[1] (numeric) = 14.826379791464641877966245780625 absolute error = 2.0e-29 relative error = 1.3489469635408736407421160464433e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.698 y[1] (analytic) = 14.828435306608875565479735616947 y[1] (numeric) = 14.828435306608875565479735616967 absolute error = 2.0e-29 relative error = 1.3487599727454867185093520058973e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.699 y[1] (analytic) = 14.830491106727767099435142607074 y[1] (numeric) = 14.830491106727767099435142607094 absolute error = 2.0e-29 relative error = 1.3485730078707315961007523444870e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.7 y[1] (analytic) = 14.832547191860825094421133566391 y[1] (numeric) = 14.832547191860825094421133566411 absolute error = 2.0e-29 relative error = 1.3483860689130151600076451503258e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.701 y[1] (analytic) = 14.834603562047563642462995505917 y[1] (numeric) = 14.834603562047563642462995505936 absolute error = 1.9e-29 relative error = 1.2807891980753075550582265933879e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.702 y[1] (analytic) = 14.836660217327502313782022217731 y[1] (numeric) = 14.83666021732750231378202221775 absolute error = 1.9e-29 relative error = 1.2806116552976119638956483768155e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.703 y[1] (analytic) = 14.838717157740166157555006141055 y[1] (numeric) = 14.838717157740166157555006141074 absolute error = 1.9e-29 relative error = 1.2804341371308655900083335890514e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.704 y[1] (analytic) = 14.840774383325085702673835523558 y[1] (numeric) = 14.840774383325085702673835523577 absolute error = 1.9e-29 relative error = 1.2802566435716568678612774066386e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=339.5MB, alloc=4.4MB, time=16.85 x[1] = 3.705 y[1] (analytic) = 14.842831894121796958505196892489 y[1] (numeric) = 14.842831894121796958505196892508 absolute error = 1.9e-29 relative error = 1.2800791746165747048301009588606e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.706 y[1] (analytic) = 14.844889690169841415650382850234 y[1] (numeric) = 14.844889690169841415650382850253 absolute error = 1.9e-29 relative error = 1.2799017302622084811354965383506e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.707 y[1] (analytic) = 14.846947771508766046705205208903 y[1] (numeric) = 14.846947771508766046705205208922 absolute error = 1.9e-29 relative error = 1.2797243105051480497776818988947e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.708 y[1] (analytic) = 14.849006138178123307020013478546 y[1] (numeric) = 14.849006138178123307020013478565 absolute error = 1.9e-29 relative error = 1.2795469153419837364708636391690e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.709 y[1] (analytic) = 14.851064790217471135459818723607 y[1] (numeric) = 14.851064790217471135459818723626 absolute error = 1.9e-29 relative error = 1.2793695447693063395777096711509e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.71 y[1] (analytic) = 14.853123727666372955164522802227 y[1] (numeric) = 14.853123727666372955164522802246 absolute error = 1.9e-29 relative error = 1.2791921987837071300438307719462e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.711 y[1] (analytic) = 14.855182950564397674309253002999 y[1] (numeric) = 14.855182950564397674309253003019 absolute error = 2.0e-29 relative error = 1.3463314498755556329813381239698e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.712 y[1] (analytic) = 14.857242458951119686864802093798 y[1] (numeric) = 14.857242458951119686864802093818 absolute error = 2.0e-29 relative error = 1.3461448216422218098505352619292e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.713 y[1] (analytic) = 14.859302252866118873358173797282 y[1] (numeric) = 14.859302252866118873358173797302 absolute error = 2.0e-29 relative error = 1.3459582192792614972868022251006e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.714 y[1] (analytic) = 14.861362332348980601633233707705 y[1] (numeric) = 14.861362332348980601633233707725 absolute error = 2.0e-29 relative error = 1.3457716427830885485768541504528e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.715 y[1] (analytic) = 14.86342269743929572761146566364 y[1] (numeric) = 14.86342269743929572761146566366 absolute error = 2.0e-29 relative error = 1.3455850921501173141184449448752e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.716 y[1] (analytic) = 14.865483348176660596052833591238 y[1] (numeric) = 14.865483348176660596052833591257 absolute error = 1.9e-29 relative error = 1.2781286390079245092838849468000e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.717 y[1] (analytic) = 14.86754428460067704131674883265 y[1] (numeric) = 14.86754428460067704131674883267 absolute error = 2.0e-29 relative error = 1.3452120684594398746890054916619e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.718 y[1] (analytic) = 14.86960550675095238812314297424 y[1] (numeric) = 14.869605506750952388123142974259 absolute error = 1.9e-29 relative error = 1.2777743156248366126761126667356e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.719 y[1] (analytic) = 14.871667014667099452313646189188 y[1] (numeric) = 14.871667014667099452313646189207 absolute error = 1.9e-29 relative error = 1.2775971907696262256938218315861e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.72 y[1] (analytic) = 14.873728808388736541612871109156 y[1] (numeric) = 14.873728808388736541612871109175 absolute error = 1.9e-29 relative error = 1.2774200904674327131812049417477e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.721 y[1] (analytic) = 14.875790887955487456389802239608 y[1] (numeric) = 14.875790887955487456389802239627 absolute error = 1.9e-29 relative error = 1.2772430147148525401746233079670e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.722 y[1] (analytic) = 14.877853253406981490419290933436 y[1] (numeric) = 14.877853253406981490419290933456 absolute error = 2.0e-29 relative error = 1.3442799615878764668503871329112e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.723 y[1] (analytic) = 14.879915904782853431643655937527 y[1] (numeric) = 14.879915904782853431643655937546 absolute error = 1.9e-29 relative error = 1.2768889368449204317467582496441e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.724 y[1] (analytic) = 14.881978842122743562934389526891 y[1] (numeric) = 14.88197884212274356293438952691 absolute error = 1.9e-29 relative error = 1.2767119347207637851237522755909e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.725 y[1] (analytic) = 14.884042065466297662853969241017 y[1] (numeric) = 14.884042065466297662853969241036 absolute error = 1.9e-29 relative error = 1.2765349571326110554725626981358e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.726 y[1] (analytic) = 14.886105574853167006417775237065 y[1] (numeric) = 14.886105574853167006417775237084 absolute error = 1.9e-29 relative error = 1.2763580040770610661627843731944e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.727 y[1] (analytic) = 14.888169370323008365856113274566 y[1] (numeric) = 14.888169370323008365856113274585 absolute error = 1.9e-29 relative error = 1.2761810755507131120345299459452e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.728 y[1] (analytic) = 14.89023345191548401137634334625 y[1] (numeric) = 14.890233451915484011376343346268 absolute error = 1.8e-29 relative error = 1.2088460572580529088418602316696e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.729 y[1] (analytic) = 14.892297819670261711925113969667 y[1] (numeric) = 14.892297819670261711925113969685 absolute error = 1.8e-29 relative error = 1.2086784872261269063991151157924e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.73 y[1] (analytic) = 14.894362473627014735950702154244 y[1] (numeric) = 14.894362473627014735950702154262 absolute error = 1.8e-29 relative error = 1.2085109404227298229924921283720e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.731 y[1] (analytic) = 14.896427413825421852165459058421 y[1] (numeric) = 14.896427413825421852165459058439 absolute error = 1.8e-29 relative error = 1.2083434168446417239502549488199e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.732 y[1] (analytic) = 14.89849264030516733030836135153 y[1] (numeric) = 14.898492640305167330308361351548 absolute error = 1.8e-29 relative error = 1.2081759164886431209474560001503e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.733 y[1] (analytic) = 14.900558153105940941907668295065 y[1] (numeric) = 14.900558153105940941907668295083 absolute error = 1.8e-29 relative error = 1.2080084393515149719440639341214e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.734 y[1] (analytic) = 14.902623952267437961043684558003 y[1] (numeric) = 14.902623952267437961043684558021 absolute error = 1.8e-29 relative error = 1.2078409854300386811230996931340e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.735 y[1] (analytic) = 14.904690037829359165111628780834 y[1] (numeric) = 14.904690037829359165111628780853 absolute error = 1.9e-29 relative error = 1.2747665299832736598748245447924e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=343.3MB, alloc=4.4MB, time=17.04 TOP MAIN SOLVE Loop x[1] = 3.736 y[1] (analytic) = 14.906756409831410835584607902961 y[1] (numeric) = 14.90675640983141083558460790298 absolute error = 1.9e-29 relative error = 1.2745898220667900504771583254057e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.737 y[1] (analytic) = 14.90882306831330475877669726813 y[1] (numeric) = 14.908823068313304758776697268148 absolute error = 1.8e-29 relative error = 1.2073387629273416916318651103363e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.738 y[1] (analytic) = 14.910890013314758226606126522556 y[1] (numeric) = 14.910890013314758226606126522575 absolute error = 1.9e-29 relative error = 1.2742364797160900086486158697720e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.739 y[1] (analytic) = 14.912957244875494037358571320425 y[1] (numeric) = 14.912957244875494037358571320444 absolute error = 1.9e-29 relative error = 1.2740598452750830003133133697815e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.74 y[1] (analytic) = 14.915024763035240496450550851413 y[1] (numeric) = 14.915024763035240496450550851433 absolute error = 2.0e-29 relative error = 1.3409297213885386675514545413553e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.741 y[1] (analytic) = 14.917092567833731417192931204925 y[1] (numeric) = 14.917092567833731417192931204944 absolute error = 1.9e-29 relative error = 1.2737066498447820987995112728884e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.742 y[1] (analytic) = 14.919160659310706121554534585697 y[1] (numeric) = 14.919160659310706121554534585716 absolute error = 1.9e-29 relative error = 1.2735300888487004532505328553341e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.743 y[1] (analytic) = 14.921229037505909440925854395465 y[1] (numeric) = 14.921229037505909440925854395484 absolute error = 1.9e-29 relative error = 1.2733535523274736270131993107170e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.744 y[1] (analytic) = 14.923297702459091716882876195355 y[1] (numeric) = 14.923297702459091716882876195374 absolute error = 1.9e-29 relative error = 1.2731770402777089199344746673650e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.745 y[1] (analytic) = 14.925366654210008801951004563685 y[1] (numeric) = 14.925366654210008801951004563704 absolute error = 1.9e-29 relative error = 1.2730005526960141021568329121826e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.746 y[1] (analytic) = 14.927435892798422060369095863858 y[1] (numeric) = 14.927435892798422060369095863877 absolute error = 1.9e-29 relative error = 1.2728240895789974140530657081890e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.747 y[1] (analytic) = 14.929505418264098368853596937026 y[1] (numeric) = 14.929505418264098368853596937045 absolute error = 1.9e-29 relative error = 1.2726476509232675661610991489985e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.748 y[1] (analytic) = 14.931575230646810117362789734218 y[1] (numeric) = 14.931575230646810117362789734237 absolute error = 1.9e-29 relative error = 1.2724712367254337391188195489910e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.749 y[1] (analytic) = 14.93364532998633520986114190261 y[1] (numeric) = 14.933645329986335209861141902629 absolute error = 1.9e-29 relative error = 1.2722948469821055835989082679205e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.75 y[1] (analytic) = 14.935715716322457065083763340634 y[1] (numeric) = 14.935715716322457065083763340652 absolute error = 1.8e-29 relative error = 1.2051648773904251560203336966716e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.751 y[1] (analytic) = 14.937786389694964617300968736607 y[1] (numeric) = 14.937786389694964617300968736626 absolute error = 1.9e-29 relative error = 1.2719421408454072395999635071736e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.752 y[1] (analytic) = 14.939857350143652317082946105596 y[1] (numeric) = 14.939857350143652317082946105614 absolute error = 1.8e-29 relative error = 1.2048307810534029808931758602012e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 3.753 y[1] (analytic) = 14.941928597708320132064531339179 y[1] (numeric) = 14.941928597708320132064531339198 absolute error = 1.9e-29 relative error = 1.2715895324860591377659090367530e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.754 y[1] (analytic) = 14.94400013242877354771008878284 y[1] (numeric) = 14.944000132428773547710088782858 absolute error = 1.8e-29 relative error = 1.2044967773347142020472799159906e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.755 y[1] (analytic) = 14.946071954344823568078497855657 y[1] (numeric) = 14.946071954344823568078497855676 absolute error = 1.9e-29 relative error = 1.2712370218769553980860558623272e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.756 y[1] (analytic) = 14.948144063496286716588245727025 y[1] (numeric) = 14.948144063496286716588245727044 absolute error = 1.9e-29 relative error = 1.2710608032202766313000706193259e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.757 y[1] (analytic) = 14.950216459922985036782626065082 y[1] (numeric) = 14.950216459922985036782626065101 absolute error = 1.9e-29 relative error = 1.2708846089909976548536855325240e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.758 y[1] (analytic) = 14.952289143664746093095043871565 y[1] (numeric) = 14.952289143664746093095043871584 absolute error = 1.9e-29 relative error = 1.2707084391857323468017945398710e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.759 y[1] (analytic) = 14.954362114761402971614426417802 y[1] (numeric) = 14.95436211476140297161442641782 absolute error = 1.8e-29 relative error = 1.2036621730747216306575140426062e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.76 y[1] (analytic) = 14.956435373252794280850740296535 y[1] (numeric) = 14.956435373252794280850740296553 absolute error = 1.8e-29 relative error = 1.2034953216319268794302987727488e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.761 y[1] (analytic) = 14.95850891917876415250061460431 y[1] (numeric) = 14.958508919178764152500614604328 absolute error = 1.8e-29 relative error = 1.2033284933180503458248569598689e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.762 y[1] (analytic) = 14.960582752579162242213070269122 y[1] (numeric) = 14.96058275257916224221307026914 absolute error = 1.8e-29 relative error = 1.2031616881298859031876990688777e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.763 y[1] (analytic) = 14.962656873493843730355355538052 y[1] (numeric) = 14.96265687349384373035535553807 absolute error = 1.8e-29 relative error = 1.2029949060642278692980592008619e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.764 y[1] (analytic) = 14.964731281962669322778887639598 y[1] (numeric) = 14.964731281962669322778887639616 absolute error = 1.8e-29 relative error = 1.2028281471178710063062879056000e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.765 y[1] (analytic) = 14.966805978025505251585300635434 y[1] (numeric) = 14.966805978025505251585300635453 absolute error = 1.9e-29 relative error = 1.2694759341369222162651565081703e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.766 y[1] (analytic) = 14.968880961722223275892599476308 y[1] (numeric) = 14.968880961722223275892599476327 absolute error = 1.9e-29 relative error = 1.2692999596019221777206272479818e-28 % Correct digits = 29 h = 0.001 memory used=347.1MB, alloc=4.4MB, time=17.23 NO POLE TOP MAIN SOLVE Loop x[1] = 3.767 y[1] (analytic) = 14.970956233092700682601420276807 y[1] (numeric) = 14.970956233092700682601420276825 absolute error = 1.8e-29 relative error = 1.2023280089625617284949258572412e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.768 y[1] (analytic) = 14.973031792176820287161396823713 y[1] (numeric) = 14.973031792176820287161396823732 absolute error = 1.9e-29 relative error = 1.2689480837092197256349505220766e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.769 y[1] (analytic) = 14.975107639014470434337633332692 y[1] (numeric) = 14.975107639014470434337633332711 absolute error = 1.9e-29 relative error = 1.2687721823447549187560109849805e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.77 y[1] (analytic) = 14.977183773645544998977283468016 y[1] (numeric) = 14.977183773645544998977283468035 absolute error = 1.9e-29 relative error = 1.2685963053637069102518116131639e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.771 y[1] (analytic) = 14.979260196109943386776235640083 y[1] (numeric) = 14.979260196109943386776235640103 absolute error = 2.0e-29 relative error = 1.3351794239607322895705318520699e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.772 y[1] (analytic) = 14.981336906447570535045904595454 y[1] (numeric) = 14.981336906447570535045904595474 absolute error = 2.0e-29 relative error = 1.3349943416193070071418225417818e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.773 y[1] (analytic) = 14.983413904698336913480129314132 y[1] (numeric) = 14.983413904698336913480129314152 absolute error = 2.0e-29 relative error = 1.3348092849339639655912289299155e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.774 y[1] (analytic) = 14.985491190902158524922177228851 y[1] (numeric) = 14.98549119090215852492217722887 absolute error = 1.9e-29 relative error = 1.2678930412060893870630890629843e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.775 y[1] (analytic) = 14.987568765098956906131854781082 y[1] (numeric) = 14.987568765098956906131854781101 absolute error = 1.9e-29 relative error = 1.2677172860914343647729392244045e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.776 y[1] (analytic) = 14.989646627328659128552724328526 y[1] (numeric) = 14.989646627328659128552724328545 absolute error = 1.9e-29 relative error = 1.2675415553399230174539067939859e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.777 y[1] (analytic) = 14.991724777631197799079427418821 y[1] (numeric) = 14.991724777631197799079427418841 absolute error = 2.0e-29 relative error = 1.3340693146822927687710669835414e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.778 y[1] (analytic) = 14.993803216046511060825114444219 y[1] (numeric) = 14.993803216046511060825114444238 absolute error = 1.9e-29 relative error = 1.2671901669128229567842109237400e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.779 y[1] (analytic) = 14.995881942614542593888980691969 y[1] (numeric) = 14.995881942614542593888980691988 absolute error = 1.9e-29 relative error = 1.2670145092304812182684844320534e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.78 y[1] (analytic) = 14.997960957375241616123908805179 y[1] (numeric) = 14.997960957375241616123908805198 absolute error = 1.9e-29 relative error = 1.2668388758977771042639687928560e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.781 y[1] (analytic) = 15.000040260368562883904217668887 y[1] (numeric) = 15.000040260368562883904217668906 absolute error = 1.9e-29 relative error = 1.2666632669113352722035707696311e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.782 y[1] (analytic) = 15.002119851634466692893517736105 y[1] (numeric) = 15.002119851634466692893517736125 absolute error = 2.0e-29 relative error = 1.3331449287029272077995805424362e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.783 y[1] (analytic) = 15.004199731212918878812672808599 y[1] (numeric) = 15.004199731212918878812672808619 absolute error = 2.0e-29 relative error = 1.3329601283828836031883345513378e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.784 y[1] (analytic) = 15.006279899143890818207868287148 y[1] (numeric) = 15.006279899143890818207868287168 absolute error = 2.0e-29 relative error = 1.3327753536798284841769182862947e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.785 y[1] (analytic) = 15.008360355467359429218785906061 y[1] (numeric) = 15.008360355467359429218785906081 absolute error = 2.0e-29 relative error = 1.3325906045902108282404978438759e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.786 y[1] (analytic) = 15.010441100223307172346884966701 y[1] (numeric) = 15.010441100223307172346884966721 absolute error = 2.0e-29 relative error = 1.3324058811104801050963691465714e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.787 y[1] (analytic) = 15.012522133451722051223790084786 y[1] (numeric) = 15.012522133451722051223790084806 absolute error = 2.0e-29 relative error = 1.3322211832370862766357234236694e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.788 y[1] (analytic) = 15.014603455192597613379785466238 y[1] (numeric) = 15.014603455192597613379785466257 absolute error = 1.9e-29 relative error = 1.2654346854181558070126510432514e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.789 y[1] (analytic) = 15.016685065485932951012415726338 y[1] (numeric) = 15.016685065485932951012415726357 absolute error = 1.9e-29 relative error = 1.2652592710803560312002923744324e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.79 y[1] (analytic) = 15.018766964371732701755193266975 y[1] (numeric) = 15.018766964371732701755193266994 absolute error = 1.9e-29 relative error = 1.2650838810584615014702476302448e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.791 y[1] (analytic) = 15.02084915189000704944641222674 y[1] (numeric) = 15.020849151890007049446412226759 absolute error = 1.9e-29 relative error = 1.2649085153491015512319024084864e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.792 y[1] (analytic) = 15.022931628080771724898069018664 y[1] (numeric) = 15.022931628080771724898069018683 absolute error = 1.9e-29 relative error = 1.2647331739489059811358636435372e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.793 y[1] (analytic) = 15.025014392984048006664889470357 y[1] (numeric) = 15.025014392984048006664889470376 absolute error = 1.9e-29 relative error = 1.2645578568545050590091907088594e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.794 y[1] (analytic) = 15.027097446639862721813462581338 y[1] (numeric) = 15.027097446639862721813462581357 absolute error = 1.9e-29 relative error = 1.2643825640625295197906354977505e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.795 y[1] (analytic) = 15.02918078908824824669148091234 y[1] (numeric) = 15.029180789088248246691480912359 absolute error = 1.9e-29 relative error = 1.2642072955696105654658914811040e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.796 y[1] (analytic) = 15.031264420369242507697087621362 y[1] (numeric) = 15.031264420369242507697087621381 absolute error = 1.9e-29 relative error = 1.2640320513723798650028517409365e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.4MB, time=17.41 x[1] = 3.797 y[1] (analytic) = 15.03334834052288898204833016126 y[1] (numeric) = 15.033348340522888982048330161279 absolute error = 1.9e-29 relative error = 1.2638568314674695542868759784335e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.798 y[1] (analytic) = 15.03543254958923669855272065367 y[1] (numeric) = 15.035432549589236698552720653689 absolute error = 1.9e-29 relative error = 1.2636816358515122360560664952720e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.799 y[1] (analytic) = 15.037517047608340238376902954043 y[1] (numeric) = 15.037517047608340238376902954062 absolute error = 1.9e-29 relative error = 1.2635064645211409798365531469754e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.8 y[1] (analytic) = 15.039601834620259735816426422585 y[1] (numeric) = 15.039601834620259735816426422604 absolute error = 1.9e-29 relative error = 1.2633313174729893218777872670569e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.801 y[1] (analytic) = 15.041686910665060879065626415903 y[1] (numeric) = 15.041686910665060879065626415922 absolute error = 1.9e-29 relative error = 1.2631561947036912650878445607077e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.802 y[1] (analytic) = 15.043772275782814910987611514143 y[1] (numeric) = 15.043772275782814910987611514162 absolute error = 1.9e-29 relative error = 1.2629810962098812789687369667879e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.803 y[1] (analytic) = 15.045857930013598629884357498428 y[1] (numeric) = 15.045857930013598629884357498447 absolute error = 1.9e-29 relative error = 1.2628060219881942995517334868744e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.804 y[1] (analytic) = 15.047943873397494390266908093382 y[1] (numeric) = 15.047943873397494390266908093402 absolute error = 2.0e-29 relative error = 1.3290852337213323466659894527638e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.805 y[1] (analytic) = 15.05003010597459010362568248956 y[1] (numeric) = 15.050030105974590103625682489579 absolute error = 1.9e-29 relative error = 1.2624559463477314372073879227184e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.806 y[1] (analytic) = 15.052116627784979239200889660564 y[1] (numeric) = 15.052116627784979239200889660583 absolute error = 1.9e-29 relative error = 1.2622809449222277584068821306150e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.807 y[1] (analytic) = 15.054203438868760824753049489681 y[1] (numeric) = 15.054203438868760824753049489701 absolute error = 2.0e-29 relative error = 1.3285325976372542046661657309657e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.808 y[1] (analytic) = 15.056290539266039447333620720824 y[1] (numeric) = 15.056290539266039447333620720843 absolute error = 1.9e-29 relative error = 1.2619310148438599129929943750669e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.809 y[1] (analytic) = 15.058377929016925254055735748594 y[1] (numeric) = 15.058377929016925254055735748613 absolute error = 1.9e-29 relative error = 1.2617560861842707479363437091472e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.81 y[1] (analytic) = 15.060465608161533952865042262291 y[1] (numeric) = 15.06046560816153395286504226231 absolute error = 1.9e-29 relative error = 1.2615811817732621991887100725477e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.811 y[1] (analytic) = 15.062553576739986813310651758661 y[1] (numeric) = 15.06255357673998681331065175868 absolute error = 1.9e-29 relative error = 1.2614063016074729326880444512469e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.812 y[1] (analytic) = 15.064641834792410667316194938215 y[1] (numeric) = 15.064641834792410667316194938234 absolute error = 1.9e-29 relative error = 1.2612314456835420803198456679729e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.813 y[1] (analytic) = 15.066730382358937909950983999935 y[1] (numeric) = 15.066730382358937909950983999955 absolute error = 2.0e-29 relative error = 1.3274280147348518314237587510528e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.814 y[1] (analytic) = 15.06881921947970650020128184918 y[1] (numeric) = 15.0688192194797065002012818492 absolute error = 2.0e-29 relative error = 1.3272440068924362893400575066749e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.815 y[1] (analytic) = 15.070908346194859961741678233618 y[1] (numeric) = 15.070908346194859961741678233638 absolute error = 2.0e-29 relative error = 1.3270600245571561207599345837810e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.816 y[1] (analytic) = 15.072997762544547383706572822014 y[1] (numeric) = 15.072997762544547383706572822034 absolute error = 2.0e-29 relative error = 1.3268760677254755309780047302006e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.817 y[1] (analytic) = 15.075087468568923421461765240695 y[1] (numeric) = 15.075087468568923421461765240715 absolute error = 2.0e-29 relative error = 1.3266921363938592154201348145757e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.818 y[1] (analytic) = 15.077177464308148297376152082515 y[1] (numeric) = 15.077177464308148297376152082535 absolute error = 2.0e-29 relative error = 1.3265082305587723595755019167418e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.819 y[1] (analytic) = 15.079267749802387801593530903167 y[1] (numeric) = 15.079267749802387801593530903187 absolute error = 2.0e-29 relative error = 1.3263243502166806389286608362043e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.82 y[1] (analytic) = 15.081358325091813292804511219654 y[1] (numeric) = 15.081358325091813292804511219674 absolute error = 2.0e-29 relative error = 1.3261404953640502188916210174054e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.821 y[1] (analytic) = 15.083449190216601699018532525773 y[1] (numeric) = 15.083449190216601699018532525793 absolute error = 2.0e-29 relative error = 1.3259566659973477547359328904760e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.822 y[1] (analytic) = 15.085540345216935518335989339434 y[1] (numeric) = 15.085540345216935518335989339454 absolute error = 2.0e-29 relative error = 1.3257728621130403915247836261664e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.823 y[1] (analytic) = 15.08763179013300281972046329666 y[1] (numeric) = 15.08763179013300281972046329668 absolute error = 2.0e-29 relative error = 1.3255890837075957640451023036535e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.824 y[1] (analytic) = 15.08972352500499724377106230711 y[1] (numeric) = 15.089723525004997243771062307129 absolute error = 1.9e-29 relative error = 1.2591350642386078969026907654203e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.825 y[1] (analytic) = 15.09181554987311800349486678596 y[1] (numeric) = 15.09181554987311800349486678598 absolute error = 2.0e-29 relative error = 1.3252216033191677036392662293766e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.826 y[1] (analytic) = 15.093907864777569885079482977004 y[1] (numeric) = 15.093907864777569885079482977023 absolute error = 1.9e-29 relative error = 1.2587860062626658888800195703779e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.827 y[1] (analytic) = 15.096000469758563248665703381791 y[1] (numeric) = 15.09600046975856324866570338181 absolute error = 1.9e-29 relative error = 1.2586115135636237215238204954649e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=354.7MB, alloc=4.4MB, time=17.60 x[1] = 3.828 y[1] (analytic) = 15.098093364856314029120274309687 y[1] (numeric) = 15.098093364856314029120274309706 absolute error = 1.9e-29 relative error = 1.2584370450527293946568739159730e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.829 y[1] (analytic) = 15.10018655011104373680877056368 y[1] (numeric) = 15.100186550111043736808770563698 absolute error = 1.8e-29 relative error = 1.1920382533199652171139800394609e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.83 y[1] (analytic) = 15.102280025562979458368577276794 y[1] (numeric) = 15.102280025562979458368577276812 absolute error = 1.8e-29 relative error = 1.1918730131829216944078054585101e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.831 y[1] (analytic) = 15.104373791252353857481978913978 y[1] (numeric) = 15.104373791252353857481978913996 absolute error = 1.8e-29 relative error = 1.1917077959514374640452320451967e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.832 y[1] (analytic) = 15.1064678472194051756493554543 y[1] (numeric) = 15.106467847219405175649355454319 absolute error = 1.9e-29 relative error = 1.2577394128235783258678209534656e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.833 y[1] (analytic) = 15.10856219350437723296248576834 y[1] (numeric) = 15.108562193504377232962485768358 absolute error = 1.8e-29 relative error = 1.1913774301924466617804772539246e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.834 y[1] (analytic) = 15.110656830147519428877958205604 y[1] (numeric) = 15.110656830147519428877958205623 absolute error = 1.9e-29 relative error = 1.2573907417507350298220292076113e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.835 y[1] (analytic) = 15.112751757189086742990688406869 y[1] (numeric) = 15.112751757189086742990688406887 absolute error = 1.8e-29 relative error = 1.1910471560175967742206268227921e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.836 y[1] (analytic) = 15.114846974669339735807544356273 y[1] (numeric) = 15.114846974669339735807544356291 absolute error = 1.8e-29 relative error = 1.1908820532662903373095568899995e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.837 y[1] (analytic) = 15.116942482628544549521078688064 y[1] (numeric) = 15.116942482628544549521078688082 absolute error = 1.8e-29 relative error = 1.1907169734014988055668817420705e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.838 y[1] (analytic) = 15.119038281106972908783368262849 y[1] (numeric) = 15.119038281106972908783368262867 absolute error = 1.8e-29 relative error = 1.1905519164200496542444685243656e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.839 y[1] (analytic) = 15.121134370144902121479961028223 y[1] (numeric) = 15.121134370144902121479961028241 absolute error = 1.8e-29 relative error = 1.1903868823187707983690176943506e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.84 y[1] (analytic) = 15.123230749782615079503930178656 y[1] (numeric) = 15.123230749782615079503930178673 absolute error = 1.7e-29 relative error = 1.1240984338114633375321514261724e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.841 y[1] (analytic) = 15.125327420060400259530035629503 y[1] (numeric) = 15.12532742006040025953003562952 absolute error = 1.7e-29 relative error = 1.1239426114804801742645325818956e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.842 y[1] (analytic) = 15.127424381018551723788992820031 y[1] (numeric) = 15.127424381018551723788992820048 absolute error = 1.7e-29 relative error = 1.1237868107495616518652661301931e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.843 y[1] (analytic) = 15.129521632697369120841848860328 y[1] (numeric) = 15.129521632697369120841848860345 absolute error = 1.7e-29 relative error = 1.1236310316157135730999383222244e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.844 y[1] (analytic) = 15.131619175137157686354466036983 y[1] (numeric) = 15.131619175137157686354466037 absolute error = 1.7e-29 relative error = 1.1234752740759421557892395317695e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.845 y[1] (analytic) = 15.133717008378228243872112692419 y[1] (numeric) = 15.133717008378228243872112692436 absolute error = 1.7e-29 relative error = 1.1233195381272540327514293882939e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.846 y[1] (analytic) = 15.135815132460897205594161492771 y[1] (numeric) = 15.135815132460897205594161492788 absolute error = 1.7e-29 relative error = 1.1231638237666562517448098854871e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.847 y[1] (analytic) = 15.137913547425486573148895099187 y[1] (numeric) = 15.137913547425486573148895099203 absolute error = 1.6e-29 relative error = 1.0569488291681470827390178486300e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.848 y[1] (analytic) = 15.140012253312323938368419257448 y[1] (numeric) = 15.140012253312323938368419257464 absolute error = 1.6e-29 relative error = 1.0568023151037759823185478291391e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.849 y[1] (analytic) = 15.142111250161742484063683320805 y[1] (numeric) = 15.142111250161742484063683320821 absolute error = 1.6e-29 relative error = 1.0566558213491592107180321638632e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.85 y[1] (analytic) = 15.144210538014080984799608220917 y[1] (numeric) = 15.144210538014080984799608220933 absolute error = 1.6e-29 relative error = 1.0565093479014814332959292120945e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.851 y[1] (analytic) = 15.146310116909683807670321901789 y[1] (numeric) = 15.146310116909683807670321901805 absolute error = 1.6e-29 relative error = 1.0563628947579277056718996863751e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.852 y[1] (analytic) = 15.148409986888900913074502231617 y[1] (numeric) = 15.148409986888900913074502231633 absolute error = 1.6e-29 relative error = 1.0562164619156834736727087119485e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.853 y[1] (analytic) = 15.150510147992087855490827407428 y[1] (numeric) = 15.150510147992087855490827407444 absolute error = 1.6e-29 relative error = 1.0560700493719345732781353852586e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.854 y[1] (analytic) = 15.152610600259605784253533867428 y[1] (numeric) = 15.152610600259605784253533867445 absolute error = 1.7e-29 relative error = 1.1219188856941089324773204448593e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.855 y[1] (analytic) = 15.154711343731821444328081725962 y[1] (numeric) = 15.154711343731821444328081725978 absolute error = 1.6e-29 relative error = 1.0557772851686680616625377528715e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.856 y[1] (analytic) = 15.156812378449107177086927745975 y[1] (numeric) = 15.156812378449107177086927745992 absolute error = 1.7e-29 relative error = 1.1216078668474943272218970189488e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.857 y[1] (analytic) = 15.158913704451840921085405863919 y[1] (numeric) = 15.158913704451840921085405863936 absolute error = 1.7e-29 relative error = 1.1214523897584740758979454571477e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.858 y[1] (analytic) = 15.161015321780406212837715281979 y[1] (numeric) = 15.161015321780406212837715281995 absolute error = 1.6e-29 relative error = 1.0553382910321516085639586551339e-28 % Correct digits = 29 h = 0.001 NO POLE memory used=358.5MB, alloc=4.4MB, time=17.79 TOP MAIN SOLVE Loop x[1] = 3.859 y[1] (analytic) = 15.16311723047519218759301614255 y[1] (numeric) = 15.163117230475192187593016142566 absolute error = 1.6e-29 relative error = 1.0551920002202990951277282779124e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.86 y[1] (analytic) = 15.165219430576593580111632799886 y[1] (numeric) = 15.165219430576593580111632799903 absolute error = 1.7e-29 relative error = 1.1209860877927070402029962539213e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.861 y[1] (analytic) = 15.167321922125010725441364703823 y[1] (numeric) = 15.16732192212501072544136470384 absolute error = 1.7e-29 relative error = 1.1208306968945921039496913688528e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.862 y[1] (analytic) = 15.169424705160849559693904910502 y[1] (numeric) = 15.169424705160849559693904910518 absolute error = 1.6e-29 relative error = 1.0547532494463403847483509886864e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.863 y[1] (analytic) = 15.171527779724521620821366235011 y[1] (numeric) = 15.171527779724521620821366235027 absolute error = 1.6e-29 relative error = 1.0546070397328515742912203249991e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.864 y[1] (analytic) = 15.173631145856444049392915060884 y[1] (numeric) = 15.1736311458564440493929150609 absolute error = 1.6e-29 relative error = 1.0544608502869280258528366250580e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.865 y[1] (analytic) = 15.175734803597039589371512821353 y[1] (numeric) = 15.17573480359703958937151282137 absolute error = 1.7e-29 relative error = 1.1202093486748702688473717146062e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.866 y[1] (analytic) = 15.177838752986736588890765167313 y[1] (numeric) = 15.17783875298673658889076516733 absolute error = 1.7e-29 relative error = 1.1200540654481978563113945124027e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.867 y[1] (analytic) = 15.179942994065969001031878836902 y[1] (numeric) = 15.179942994065969001031878836918 absolute error = 1.6e-29 relative error = 1.0540224035264560358449880888895e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.868 y[1] (analytic) = 15.182047526875176384600726241644 y[1] (numeric) = 15.182047526875176384600726241661 absolute error = 1.7e-29 relative error = 1.1197435635678714760701465584682e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.869 y[1] (analytic) = 15.184152351454803904905017784097 y[1] (numeric) = 15.184152351454803904905017784113 absolute error = 1.6e-29 relative error = 1.0537302069724708195634033436330e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.87 y[1] (analytic) = 15.1862574678453023345315819219 y[1] (numeric) = 15.186257467845302334531581921917 absolute error = 1.7e-29 relative error = 1.1194331477650128363151764639969e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.871 y[1] (analytic) = 15.188362876087128054123752993223 y[1] (numeric) = 15.18836287608712805412375299324 absolute error = 1.7e-29 relative error = 1.1192779721351766502437548052047e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.872 y[1] (analytic) = 15.190468576220743053158866818492 y[1] (numeric) = 15.190468576220743053158866818509 absolute error = 1.7e-29 relative error = 1.1191228180157595036054170475024e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.873 y[1] (analytic) = 15.19257456828661493072586409338 y[1] (numeric) = 15.192574568286614930725864093397 absolute error = 1.7e-29 relative error = 1.1189676854037796258235561497704e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.874 y[1] (analytic) = 15.194680852325216896303001587984 y[1] (numeric) = 15.194680852325216896303001588001 absolute error = 1.7e-29 relative error = 1.1188125742962556596540880319950e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.875 y[1] (analytic) = 15.196787428377027770535671167141 y[1] (numeric) = 15.196787428377027770535671167158 absolute error = 1.7e-29 relative error = 1.1186574846902066611281554922373e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.876 y[1] (analytic) = 15.198894296482531986014326646833 y[1] (numeric) = 15.19889429648253198601432664685 absolute error = 1.7e-29 relative error = 1.1185024165826520994948400659750e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.877 y[1] (analytic) = 15.201001456682219588052518501626 y[1] (numeric) = 15.201001456682219588052518501643 absolute error = 1.7e-29 relative error = 1.1183473699706118571638818267165e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.878 y[1] (analytic) = 15.203108909016586235465036438099 y[1] (numeric) = 15.203108909016586235465036438115 absolute error = 1.6e-29 relative error = 1.0524163245657470396690890605049e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.879 y[1] (analytic) = 15.205216653526133201346159849216 y[1] (numeric) = 15.205216653526133201346159849232 absolute error = 1.6e-29 relative error = 1.0522704387963820475366252020534e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.88 y[1] (analytic) = 15.207324690251367373848016164603 y[1] (numeric) = 15.207324690251367373848016164619 absolute error = 1.6e-29 relative error = 1.0521245732496772388609573321393e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.881 y[1] (analytic) = 15.209433019232801256959047111678 y[1] (numeric) = 15.209433019232801256959047111694 absolute error = 1.6e-29 relative error = 1.0519787279228293519759499389413e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.882 y[1] (analytic) = 15.211541640510952971282582902601 y[1] (numeric) = 15.211541640510952971282582902617 absolute error = 1.6e-29 relative error = 1.0518329028130355138031160957310e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.883 y[1] (analytic) = 15.213650554126346254815524362011 y[1] (numeric) = 15.213650554126346254815524362027 absolute error = 1.6e-29 relative error = 1.0516870979174932397977515080577e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.884 y[1] (analytic) = 15.215759760119510463727133010507 y[1] (numeric) = 15.215759760119510463727133010522 absolute error = 1.5e-29 relative error = 9.8581998115631290677663377608573e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.885 y[1] (analytic) = 15.217869258530980573137929118836 y[1] (numeric) = 15.217869258530980573137929118852 absolute error = 1.6e-29 relative error = 1.0513955487579553884563826332185e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.886 y[1] (analytic) = 15.219979049401297177898697747784 y[1] (numeric) = 15.2199790494012971778986977478 absolute error = 1.6e-29 relative error = 1.0512498044883567842151938734560e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.887 y[1] (analytic) = 15.222089132771006493369602788694 y[1] (numeric) = 15.22208913277100649336960278871 absolute error = 1.6e-29 relative error = 1.0511040804218036902234257773189e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.888 y[1] (analytic) = 15.224199508680660356199409019631 y[1] (numeric) = 15.224199508680660356199409019648 absolute error = 1.7e-29 relative error = 1.1166432750902140365349066759624e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=362.4MB, alloc=4.4MB, time=17.98 x[1] = 3.889 y[1] (analytic) = 15.226310177170816225104812192146 y[1] (numeric) = 15.226310177170816225104812192163 absolute error = 1.7e-29 relative error = 1.1164884861920467661188699519191e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.89 y[1] (analytic) = 15.228421138282037181649877163609 y[1] (numeric) = 15.228421138282037181649877163625 absolute error = 1.6e-29 relative error = 1.0506670294124139839093589798384e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.891 y[1] (analytic) = 15.230532392054891931025584090112 y[1] (numeric) = 15.230532392054891931025584090128 absolute error = 1.6e-29 relative error = 1.0505213861300413859184581009629e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.892 y[1] (analytic) = 15.232643938529954802829482694907 y[1] (numeric) = 15.232643938529954802829482694924 absolute error = 1.7e-29 relative error = 1.1160242482265101829742643160462e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.893 y[1] (analytic) = 15.234755777747805751845454627374 y[1] (numeric) = 15.23475577774780575184545462739 absolute error = 1.6e-29 relative error = 1.0502301601296376229722795727168e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.894 y[1] (analytic) = 15.236867909749030358823583927483 y[1] (numeric) = 15.236867909749030358823583927499 absolute error = 1.6e-29 relative error = 1.0500845774060096416230253155720e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.895 y[1] (analytic) = 15.238980334574219831260135610773 y[1] (numeric) = 15.238980334574219831260135610789 absolute error = 1.6e-29 relative error = 1.0499390148630336959428164700762e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.896 y[1] (analytic) = 15.241093052263971004177642388803 y[1] (numeric) = 15.241093052263971004177642388819 absolute error = 1.6e-29 relative error = 1.0497934724979123474277172774485e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.897 y[1] (analytic) = 15.243206062858886340905099540084 y[1] (numeric) = 15.243206062858886340905099540101 absolute error = 1.7e-29 relative error = 1.1152509472020890794388745009157e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.898 y[1] (analytic) = 15.245319366399573933858267946494 y[1] (numeric) = 15.24531936639957393385826794651 absolute error = 1.6e-29 relative error = 1.0495024482900456267255649849956e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.899 y[1] (analytic) = 15.24743296292664750532008531014 y[1] (numeric) = 15.247432962926647505320085310156 absolute error = 1.6e-29 relative error = 1.0493569664417073162178458140274e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.9 y[1] (analytic) = 15.24954685248072640822118556571 y[1] (numeric) = 15.249546852480726408221185565727 absolute error = 1.7e-29 relative error = 1.1147872238075400840093195399662e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.901 y[1] (analytic) = 15.251661035102435626920526503277 y[1] (numeric) = 15.251661035102435626920526503293 absolute error = 1.6e-29 relative error = 1.0490660632422413563120951108995e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.902 y[1] (analytic) = 15.253775510832405777986125616571 y[1] (numeric) = 15.253775510832405777986125616587 absolute error = 1.6e-29 relative error = 1.0489206418855230941474354298434e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.903 y[1] (analytic) = 15.255890279711273110975904191733 y[1] (numeric) = 15.255890279711273110975904191749 absolute error = 1.6e-29 relative error = 1.0487752406870882144630290491146e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.904 y[1] (analytic) = 15.258005341779679509218639651542 y[1] (numeric) = 15.258005341779679509218639651558 absolute error = 1.6e-29 relative error = 1.0486298596441423794937865520650e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.905 y[1] (analytic) = 15.260120697078272490595026170129 y[1] (numeric) = 15.260120697078272490595026170145 absolute error = 1.6e-29 relative error = 1.0484844987538916388252374835398e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.906 y[1] (analytic) = 15.262236345647705208318843573192 y[1] (numeric) = 15.262236345647705208318843573207 absolute error = 1.5e-29 relative error = 9.8281796063769602750609613177867e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.907 y[1] (analytic) = 15.26435228752863645171823453872 y[1] (numeric) = 15.264352287528636451718234538735 absolute error = 1.5e-29 relative error = 9.8268172258153272671556863076229e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.908 y[1] (analytic) = 15.266468522761730647017090113246 y[1] (numeric) = 15.266468522761730647017090113262 absolute error = 1.6e-29 relative error = 1.0480485369713762876107988251727e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.909 y[1] (analytic) = 15.268585051387657858116543558637 y[1] (numeric) = 15.268585051387657858116543558653 absolute error = 1.6e-29 relative error = 1.0479032566639741651335477880188e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.91 y[1] (analytic) = 15.270701873447093787376572544448 y[1] (numeric) = 15.270701873447093787376572544464 absolute error = 1.6e-29 relative error = 1.0477579964953031932648761541901e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.911 y[1] (analytic) = 15.272818988980719776397709700857 y[1] (numeric) = 15.272818988980719776397709700873 absolute error = 1.6e-29 relative error = 1.0476127564625717445667037149526e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.912 y[1] (analytic) = 15.274936398029222806802861547208 y[1] (numeric) = 15.274936398029222806802861547223 absolute error = 1.5e-29 relative error = 9.8200081552780179241487265055515e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.913 y[1] (analytic) = 15.277054100633295501019235811176 y[1] (numeric) = 15.277054100633295501019235811191 absolute error = 1.5e-29 relative error = 9.8186469074415266414105876681754e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.914 y[1] (analytic) = 15.279172096833636123060377153603 y[1] (numeric) = 15.279172096833636123060377153618 absolute error = 1.5e-29 relative error = 9.8172858483009756320272595980172e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.915 y[1] (analytic) = 15.281290386670948579308311314007 y[1] (numeric) = 15.281290386670948579308311314022 absolute error = 1.5e-29 relative error = 9.8159249778302078973089056237189e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.916 y[1] (analytic) = 15.283408970185942419295797691815 y[1] (numeric) = 15.28340897018594241929579769183 absolute error = 1.5e-29 relative error = 9.8145642960030700644443352650703e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.917 y[1] (analytic) = 15.285527847419332836488690378348 y[1] (numeric) = 15.285527847419332836488690378363 absolute error = 1.5e-29 relative error = 9.8132038027934123859983855605525e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.918 y[1] (analytic) = 15.28764701841184066906840765459 y[1] (numeric) = 15.287647018411840669068407654605 absolute error = 1.5e-29 relative error = 9.8118434981750887394093720677972e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.919 y[1] (analytic) = 15.289766483204192400714509969784 y[1] (numeric) = 15.289766483204192400714509969799 absolute error = 1.5e-29 relative error = 9.8104833821219566264866095272997e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=366.2MB, alloc=4.4MB, time=18.17 TOP MAIN SOLVE Loop x[1] = 3.92 y[1] (analytic) = 15.29188624183712016138738641589 y[1] (numeric) = 15.291886241837120161387386415905 absolute error = 1.5e-29 relative error = 9.8091234546078771729080021797321e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.921 y[1] (analytic) = 15.29400629435136172811104971295 y[1] (numeric) = 15.294006294351361728111049712965 absolute error = 1.5e-29 relative error = 9.8077637156067151277177037271999e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.922 y[1] (analytic) = 15.296126640787660525756039720404 y[1] (numeric) = 15.296126640787660525756039720418 absolute error = 1.4e-29 relative error = 9.1526438874195162719689238002002e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.923 y[1] (analytic) = 15.298247281186765627822435489395 y[1] (numeric) = 15.29824728118676562782243548941 absolute error = 1.5e-29 relative error = 9.8050448030386203724963428207373e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.924 y[1] (analytic) = 15.300368215589431757222975871131 y[1] (numeric) = 15.300368215589431757222975871146 absolute error = 1.5e-29 relative error = 9.8036856294194352728647495516273e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.925 y[1] (analytic) = 15.302489444036419287066288696323 y[1] (numeric) = 15.302489444036419287066288696339 absolute error = 1.6e-29 relative error = 1.0455815087155906988177291544389e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.926 y[1] (analytic) = 15.304610966568494241440228540787 y[1] (numeric) = 15.304610966568494241440228540803 absolute error = 1.6e-29 relative error = 1.0454365703872198204259694853207e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.927 y[1] (analytic) = 15.306732783226428296195323092231 y[1] (numeric) = 15.306732783226428296195323092247 absolute error = 1.6e-29 relative error = 1.0452916521501750183245778516651e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.928 y[1] (analytic) = 15.308854894050998779728328133307 y[1] (numeric) = 15.308854894050998779728328133324 absolute error = 1.7e-29 relative error = 1.1104684261267756886311171109579e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.929 y[1] (analytic) = 15.310977299082988673765891155981 y[1] (numeric) = 15.310977299082988673765891155997 absolute error = 1.6e-29 relative error = 1.0450018759389238044374792583680e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.93 y[1] (analytic) = 15.313099998363186614148323622264 y[1] (numeric) = 15.31309999836318661414832362228 absolute error = 1.6e-29 relative error = 1.0448570179591484384805558370032e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.931 y[1] (analytic) = 15.315222991932386891613481886401 y[1] (numeric) = 15.315222991932386891613481886417 absolute error = 1.6e-29 relative error = 1.0447121800595612403645426948458e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.932 y[1] (analytic) = 15.317346279831389452580756793547 y[1] (numeric) = 15.317346279831389452580756793563 absolute error = 1.6e-29 relative error = 1.0445673622373786978695319628430e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.933 y[1] (analytic) = 15.31946986210099989993517197002 y[1] (numeric) = 15.319469862100999899935171970036 absolute error = 1.6e-29 relative error = 1.0444225644898176846255995278224e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.934 y[1] (analytic) = 15.321593738782029493811590820191 y[1] (numeric) = 15.321593738782029493811590820207 absolute error = 1.6e-29 relative error = 1.0442777868140954600593185743043e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.935 y[1] (analytic) = 15.323717909915295152379032245086 y[1] (numeric) = 15.323717909915295152379032245102 absolute error = 1.6e-29 relative error = 1.0441330292074296693402805405978e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.936 y[1] (analytic) = 15.325842375541619452625095097765 y[1] (numeric) = 15.325842375541619452625095097781 absolute error = 1.6e-29 relative error = 1.0439882916670383433276234881529e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.937 y[1] (analytic) = 15.327967135701830631140491390566 y[1] (numeric) = 15.327967135701830631140491390582 absolute error = 1.6e-29 relative error = 1.0438435741901398985165678831405e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.938 y[1] (analytic) = 15.330092190436762584903688269277 y[1] (numeric) = 15.330092190436762584903688269293 absolute error = 1.6e-29 relative error = 1.0436988767739531369849597892338e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.939 y[1] (analytic) = 15.332217539787254872065658769329 y[1] (numeric) = 15.332217539787254872065658769345 absolute error = 1.6e-29 relative error = 1.0435541994156972463398214705621e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.94 y[1] (analytic) = 15.33434318379415271273474136908 y[1] (numeric) = 15.334343183794152712734741369097 absolute error = 1.7e-29 relative error = 1.1086226384946287871429037415496e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.941 y[1] (analytic) = 15.336469122498306989761608355284 y[1] (numeric) = 15.3364691224983069897616083553 absolute error = 1.6e-29 relative error = 1.0432649048618567554622796984443e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.942 y[1] (analytic) = 15.338595355940574249524343015813 y[1] (numeric) = 15.338595355940574249524343015829 absolute error = 1.6e-29 relative error = 1.0431202876607124576088609240120e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.943 y[1] (analytic) = 15.340721884161816702713625674749 y[1] (numeric) = 15.340721884161816702713625674765 absolute error = 1.6e-29 relative error = 1.0429756905063796352930343435312e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.944 y[1] (analytic) = 15.342848707202902225118028584905 y[1] (numeric) = 15.342848707202902225118028584921 absolute error = 1.6e-29 relative error = 1.0428311133960794029662215519005e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.945 y[1] (analytic) = 15.344975825104704358409419692886 y[1] (numeric) = 15.344975825104704358409419692902 absolute error = 1.6e-29 relative error = 1.0426865563270332602884795183292e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.946 y[1] (analytic) = 15.347103237908102310928475291778 y[1] (numeric) = 15.347103237908102310928475291793 absolute error = 1.5e-29 relative error = 9.7738314309043414882040909226690e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.947 y[1] (analytic) = 15.349230945653980958470301576557 y[1] (numeric) = 15.349230945653980958470301576573 absolute error = 1.6e-29 relative error = 1.0423975023015911682432345482008e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.948 y[1] (analytic) = 15.351358948383230845070165117332 y[1] (numeric) = 15.351358948383230845070165117348 absolute error = 1.6e-29 relative error = 1.0422530053396401437584814391184e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.949 y[1] (analytic) = 15.353487246136748183789332265497 y[1] (numeric) = 15.353487246136748183789332265513 absolute error = 1.6e-29 relative error = 1.0421085284078330585815406395688e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=370.0MB, alloc=4.4MB, time=18.36 x[1] = 3.95 y[1] (analytic) = 15.355615838955434857501017507917 y[1] (numeric) = 15.355615838955434857501017507933 absolute error = 1.6e-29 relative error = 1.0419640715033933376148306953378e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.951 y[1] (analytic) = 15.357744726880198419676440784242 y[1] (numeric) = 15.357744726880198419676440784258 absolute error = 1.6e-29 relative error = 1.0418196346235447906491312078872e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.952 y[1] (analytic) = 15.359873909951952095170993782458 y[1] (numeric) = 15.359873909951952095170993782473 absolute error = 1.5e-29 relative error = 9.7657051665516713654084032138098e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.953 y[1] (analytic) = 15.362003388211614781010515227774 y[1] (numeric) = 15.36200338821161478101051522779 absolute error = 1.6e-29 relative error = 1.0415308209265183820055757340706e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.954 y[1] (analytic) = 15.364133161700111047177675179986 y[1] (numeric) = 15.364133161700111047177675180001 absolute error = 1.5e-29 relative error = 9.7629979134730318487900885913573e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.955 y[1] (analytic) = 15.366263230458371137398468354382 y[1] (numeric) = 15.366263230458371137398468354397 absolute error = 1.5e-29 relative error = 9.7616445683864250629727845447883e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.956 y[1] (analytic) = 15.368393594527330969928816481353 y[1] (numeric) = 15.368393594527330969928816481368 absolute error = 1.5e-29 relative error = 9.7602914109002807247794423111635e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.957 y[1] (analytic) = 15.370524253947932138341279719793 y[1] (numeric) = 15.370524253947932138341279719808 absolute error = 1.5e-29 relative error = 9.7589384409885936904674534247823e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.958 y[1] (analytic) = 15.372655208761121912311877139419 y[1] (numeric) = 15.372655208761121912311877139434 absolute error = 1.5e-29 relative error = 9.7575856586253624211227490219459e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.959 y[1] (analytic) = 15.374786459007853238407016287138 y[1] (numeric) = 15.374786459007853238407016287153 absolute error = 1.5e-29 relative error = 9.7562330637845889821600991306436e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.96 y[1] (analytic) = 15.376918004729084740870531852569 y[1] (numeric) = 15.376918004729084740870531852585 absolute error = 1.6e-29 relative error = 1.0405206033536297645678379977248e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.961 y[1] (analytic) = 15.379049845965780722410833447865 y[1] (numeric) = 15.379049845965780722410833447881 absolute error = 1.6e-29 relative error = 1.0403763665670871334065619264600e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.962 y[1] (analytic) = 15.381181982758911164988162516943 y[1] (numeric) = 15.381181982758911164988162516958 absolute error = 1.5e-29 relative error = 9.7521764041370903561529847037639e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.963 y[1] (analytic) = 15.38331441514945173060195838926 y[1] (numeric) = 15.383314415149451730601958389276 absolute error = 1.6e-29 relative error = 1.0400879529734657026087877199375e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.964 y[1] (analytic) = 15.385447143178383762078333493282 y[1] (numeric) = 15.385447143178383762078333493297 absolute error = 1.5e-29 relative error = 9.7494729015079137726655964631542e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.965 y[1] (analytic) = 15.387580166886694283857657744742 y[1] (numeric) = 15.387580166886694283857657744757 absolute error = 1.5e-29 relative error = 9.7481214312561324691755862913819e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.966 y[1] (analytic) = 15.389713486315376002782252124866 y[1] (numeric) = 15.389713486315376002782252124881 absolute error = 1.5e-29 relative error = 9.7467701483449243332181940783192e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.967 y[1] (analytic) = 15.391847101505427308884191463675 y[1] (numeric) = 15.39184710150542730888419146369 absolute error = 1.5e-29 relative error = 9.7454190527483202468579856093344e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.968 y[1] (analytic) = 15.393981012497852276173216443513 y[1] (numeric) = 15.393981012497852276173216443528 absolute error = 1.5e-29 relative error = 9.7440681444403546919941750959083e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.969 y[1] (analytic) = 15.396115219333660663424754837949 y[1] (numeric) = 15.396115219333660663424754837963 absolute error = 1.4e-29 relative error = 9.0932029285020613665375089364769e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.97 y[1] (analytic) = 15.398249722053867914968052001182 y[1] (numeric) = 15.398249722053867914968052001197 absolute error = 1.5e-29 relative error = 9.7413668895864951005318653368084e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.971 y[1] (analytic) = 15.400384520699495161474410623119 y[1] (numeric) = 15.400384520699495161474410623134 absolute error = 1.5e-29 relative error = 9.7400165429886880224143063755939e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.972 y[1] (analytic) = 15.402519615311569220745539765244 y[1] (numeric) = 15.402519615311569220745539765259 absolute error = 1.5e-29 relative error = 9.7386663835756933917573548468791e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.973 y[1] (analytic) = 15.404655005931122598502013192456 y[1] (numeric) = 15.404655005931122598502013192471 absolute error = 1.5e-29 relative error = 9.7373164113215636821497235285376e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.974 y[1] (analytic) = 15.406790692599193489171837016015 y[1] (numeric) = 15.40679069259919348917183701603 absolute error = 1.5e-29 relative error = 9.7359666262003549640217602719284e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.975 y[1] (analytic) = 15.408926675356825776679126662751 y[1] (numeric) = 15.408926675356825776679126662767 absolute error = 1.6e-29 relative error = 1.0383591496731868697756644730575e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.976 y[1] (analytic) = 15.411062954245069035232893185703 y[1] (numeric) = 15.411062954245069035232893185718 absolute error = 1.5e-29 relative error = 9.7332676172529427651429124298258e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.977 y[1] (analytic) = 15.413199529304978530115938931324 y[1] (numeric) = 15.413199529304978530115938931339 absolute error = 1.5e-29 relative error = 9.7319183933748694049739023768184e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.978 y[1] (analytic) = 15.415336400577615218473862578446 y[1] (numeric) = 15.415336400577615218473862578461 absolute error = 1.5e-29 relative error = 9.7305693565259772764514678529992e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.979 y[1] (analytic) = 15.417473568104045750104173564139 y[1] (numeric) = 15.417473568104045750104173564154 absolute error = 1.5e-29 relative error = 9.7292205066803404267366107277875e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.98 y[1] (analytic) = 15.419611031925342468245515911645 y[1] (numeric) = 15.419611031925342468245515911661 absolute error = 1.6e-29 relative error = 1.0376396633399505596630872613235e-28 % Correct digits = 29 h = 0.001 NO POLE memory used=373.8MB, alloc=4.4MB, time=18.56 TOP MAIN SOLVE Loop x[1] = 3.981 y[1] (analytic) = 15.421748792082583410367001475551 y[1] (numeric) = 15.421748792082583410367001475567 absolute error = 1.6e-29 relative error = 1.0374958259088156502539742028210e-28 % Correct digits = 29 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.982 y[1] (analytic) = 15.423886848616852308957652619366 y[1] (numeric) = 15.423886848616852308957652619382 absolute error = 1.6e-29 relative error = 1.0373520084164006321946848463364e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.983 y[1] (analytic) = 15.426025201569238592315954340681 y[1] (numeric) = 15.426025201569238592315954340697 absolute error = 1.6e-29 relative error = 1.0372082108599416035733946352165e-28 % Correct digits = 29 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.984 y[1] (analytic) = 15.428163850980837385339515859083 y[1] (numeric) = 15.428163850980837385339515859098 absolute error = 1.5e-29 relative error = 9.7224790615938285525926741722621e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.985 y[1] (analytic) = 15.430302796892749510314841681991 y[1] (numeric) = 15.430302796892749510314841682006 absolute error = 1.5e-29 relative error = 9.7211313332234795868978276230643e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.986 y[1] (analytic) = 15.432442039346081487707212163609 y[1] (numeric) = 15.432442039346081487707212163624 absolute error = 1.5e-29 relative error = 9.7197837916750048300754655944672e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.987 y[1] (analytic) = 15.434581578381945536950673572159 y[1] (numeric) = 15.434581578381945536950673572173 absolute error = 1.4e-29 relative error = 9.0705406744610065950736371831525e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.988 y[1] (analytic) = 15.436721414041459577238137680581 y[1] (numeric) = 15.436721414041459577238137680595 absolute error = 1.4e-29 relative error = 9.0692833176774198244137723387320e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.989 y[1] (analytic) = 15.438861546365747228311590895894 y[1] (numeric) = 15.438861546365747228311590895908 absolute error = 1.4e-29 relative error = 9.0680261351884134951356840232514e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.99 y[1] (analytic) = 15.441001975395937811252412942392 y[1] (numeric) = 15.441001975395937811252412942406 absolute error = 1.4e-29 relative error = 9.0667691269698269225651475763057e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.991 y[1] (analytic) = 15.443142701173166349271805113864 y[1] (numeric) = 15.443142701173166349271805113878 absolute error = 1.4e-29 relative error = 9.0655122929975027711778800571976e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.992 y[1] (analytic) = 15.445283723738573568501328110042 y[1] (numeric) = 15.445283723738573568501328110056 absolute error = 1.4e-29 relative error = 9.0642556332472870541352816577556e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.993 y[1] (analytic) = 15.447425043133305898783549472453 y[1] (numeric) = 15.447425043133305898783549472467 absolute error = 1.4e-29 relative error = 9.0629991476950291328202414706027e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.994 y[1] (analytic) = 15.449566659398515474462800634876 y[1] (numeric) = 15.44956665939851547446280063489 absolute error = 1.4e-29 relative error = 9.0617428363165817163730076039481e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.995 y[1] (analytic) = 15.451708572575360135176043603608 y[1] (numeric) = 15.451708572575360135176043603622 absolute error = 1.4e-29 relative error = 9.0604866990878008612271216339817e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.996 y[1] (analytic) = 15.453850782705003426643847282729 y[1] (numeric) = 15.453850782705003426643847282743 absolute error = 1.4e-29 relative error = 9.0592307359845459706454173859553e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 3.997 y[1] (analytic) = 15.455993289828614601461473459565 y[1] (numeric) = 15.455993289828614601461473459579 absolute error = 1.4e-29 relative error = 9.0579749469826797942560840350359e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.998 y[1] (analytic) = 15.458136093987368619890072465565 y[1] (numeric) = 15.458136093987368619890072465579 absolute error = 1.4e-29 relative error = 9.0567193320580684275887935180070e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 3.999 y[1] (analytic) = 15.460279195222446150647988527785 y[1] (numeric) = 15.460279195222446150647988527799 absolute error = 1.4e-29 relative error = 9.0554638911865813116108922469113e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4 y[1] (analytic) = 15.462422593575033571702174826191 y[1] (numeric) = 15.462422593575033571702174826204 absolute error = 1.3e-29 relative error = 8.4074794368909418585305387503085e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.001 y[1] (analytic) = 15.464566289086322971059718271988 y[1] (numeric) = 15.464566289086322971059718272 absolute error = 1.2e-29 relative error = 7.7596744555769779885702421066552e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.002 y[1] (analytic) = 15.466710281797512147559474022194 y[1] (numeric) = 15.466710281797512147559474022206 absolute error = 1.2e-29 relative error = 7.7585988108425228994119410957822e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.003 y[1] (analytic) = 15.468854571749804611663809745666 y[1] (numeric) = 15.468854571749804611663809745679 absolute error = 1.3e-29 relative error = 8.4039835914815682926986471286918e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.004 y[1] (analytic) = 15.470999158984409586250459655793 y[1] (numeric) = 15.470999158984409586250459655806 absolute error = 1.3e-29 relative error = 8.4028186327258401875494887508046e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.005 y[1] (analytic) = 15.473144043542542007404488325076 y[1] (numeric) = 15.473144043542542007404488325089 absolute error = 1.3e-29 relative error = 8.4016538354564938410684073008414e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.006 y[1] (analytic) = 15.475289225465422525210364296818 y[1] (numeric) = 15.475289225465422525210364296832 absolute error = 1.4e-29 relative error = 9.0466806765473858880171920508187e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.007 y[1] (analytic) = 15.477434704794277504544143509146 y[1] (numeric) = 15.47743470479427750454414350916 absolute error = 1.4e-29 relative error = 9.0454266272325939518939899552090e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.008 y[1] (analytic) = 15.47958048157033902586576254658 y[1] (numeric) = 15.479580481570339025865762546593 absolute error = 1.3e-29 relative error = 8.3981604123429087245533043026398e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.009 y[1] (analytic) = 15.481726555834844886011441734383 y[1] (numeric) = 15.481726555834844886011441734397 absolute error = 1.4e-29 relative error = 9.0429190500872120122792884788639e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.01 y[1] (analytic) = 15.483872927629038598986198090933 y[1] (numeric) = 15.483872927629038598986198090947 absolute error = 1.4e-29 relative error = 9.0416655222084310888253647424970e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.011 y[1] (analytic) = 15.486019596994169396756468153313 y[1] (numeric) = 15.486019596994169396756468153326 absolute error = 1.3e-29 memory used=377.6MB, alloc=4.4MB, time=18.77 relative error = 8.3946684418010778771356051641209e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.012 y[1] (analytic) = 15.488166563971492230042840691388 y[1] (numeric) = 15.488166563971492230042840691401 absolute error = 1.3e-29 relative error = 8.3935047743097915784553117296503e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.013 y[1] (analytic) = 15.490313828602267769112899325586 y[1] (numeric) = 15.490313828602267769112899325599 absolute error = 1.3e-29 relative error = 8.3923412681258921842685147717452e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.014 y[1] (analytic) = 15.492461390927762404574175063621 y[1] (numeric) = 15.492461390927762404574175063634 absolute error = 1.3e-29 relative error = 8.3911779232270192924287267192975e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.015 y[1] (analytic) = 15.4946092509892482481672087714 y[1] (numeric) = 15.494609250989248248167208771413 absolute error = 1.3e-29 relative error = 8.3900147395908156003845482824159e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.016 y[1] (analytic) = 15.496757408828003133558723593352 y[1] (numeric) = 15.496757408828003133558723593365 absolute error = 1.3e-29 relative error = 8.3888517171949269047500031159830e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.017 y[1] (analytic) = 15.498905864485310617134907337428 y[1] (numeric) = 15.498905864485310617134907337441 absolute error = 1.3e-29 relative error = 8.3876888560170021008749320433445e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.018 y[1] (analytic) = 15.501054618002459978794804840012 y[1] (numeric) = 15.501054618002459978794804840024 absolute error = 1.2e-29 relative error = 7.7414087594166398606911816909652e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.019 y[1] (analytic) = 15.503203669420746222743820325988 y[1] (numeric) = 15.503203669420746222743820326001 absolute error = 1.3e-29 relative error = 8.3853636172256552409044435121923e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.02 y[1] (analytic) = 15.50535301878147007828732977923 y[1] (numeric) = 15.505353018781470078287329779242 absolute error = 1.2e-29 relative error = 7.7392626826777351987589309840082e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.021 y[1] (analytic) = 15.507502666125938000624403338733 y[1] (numeric) = 15.507502666125938000624403338746 absolute error = 1.3e-29 relative error = 8.3830390230380281416668846411908e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.022 y[1] (analytic) = 15.509652611495462171641637735682 y[1] (numeric) = 15.509652611495462171641637735695 absolute error = 1.3e-29 relative error = 8.3818769676147646525254957856090e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.023 y[1] (analytic) = 15.511802854931360500707098786675 y[1] (numeric) = 15.511802854931360500707098786687 absolute error = 1.2e-29 relative error = 7.7360446830234678245947989461291e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.024 y[1] (analytic) = 15.513953396474956625464373958383 y[1] (numeric) = 15.513953396474956625464373958394 absolute error = 1.1e-29 relative error = 7.0903912876903405441154645287112e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.025 y[1] (analytic) = 15.516104236167579912626735018899 y[1] (numeric) = 15.516104236167579912626735018911 absolute error = 1.2e-29 relative error = 7.7339000933161785764957513130764e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.026 y[1] (analytic) = 15.518255374050565458771410791043 y[1] (numeric) = 15.518255374050565458771410791055 absolute error = 1.2e-29 relative error = 7.7328280214193738917584917279946e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.027 y[1] (analytic) = 15.520406810165254091133970022874 y[1] (numeric) = 15.520406810165254091133970022886 absolute error = 1.2e-29 relative error = 7.7317560981329906051047319357680e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.028 y[1] (analytic) = 15.522558544552992368402814390693 y[1] (numeric) = 15.522558544552992368402814390705 absolute error = 1.2e-29 relative error = 7.7306843234364283655562021300039e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.029 y[1] (analytic) = 15.524710577255132581513781649795 y[1] (numeric) = 15.524710577255132581513781649806 absolute error = 1.1e-29 relative error = 7.0854783058666655379390871748982e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.03 y[1] (analytic) = 15.52686290831303275444485894824 y[1] (numeric) = 15.526862908313032754444858948252 absolute error = 1.2e-29 relative error = 7.7285412197303799015514028987208e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.031 y[1] (analytic) = 15.529015537768056645011006318931 y[1] (numeric) = 15.529015537768056645011006318943 absolute error = 1.2e-29 relative error = 7.7274698906797072516407629298759e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.032 y[1] (analytic) = 15.531168465661573745659090365247 y[1] (numeric) = 15.531168465661573745659090365259 absolute error = 1.2e-29 relative error = 7.7263987101364827971350861698907e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.033 y[1] (analytic) = 15.533321692034959284262928155532 y[1] (numeric) = 15.533321692034959284262928155544 absolute error = 1.2e-29 relative error = 7.7253276780801204611836947937694e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.034 y[1] (analytic) = 15.535475216929594224918441341713 y[1] (numeric) = 15.535475216929594224918441341725 absolute error = 1.2e-29 relative error = 7.7242567944900370205743328312784e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.035 y[1] (analytic) = 15.537629040386865268738920517319 y[1] (numeric) = 15.537629040386865268738920517331 absolute error = 1.2e-29 relative error = 7.7231860593456521053375953011754e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.036 y[1] (analytic) = 15.539783162448164854650399830197 y[1] (numeric) = 15.539783162448164854650399830209 absolute error = 1.2e-29 relative error = 7.7221154726263881983514121794012e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.037 y[1] (analytic) = 15.541937583154891160187141865204 y[1] (numeric) = 15.541937583154891160187141865216 absolute error = 1.2e-29 relative error = 7.7210450343116706349455871936357e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.038 y[1] (analytic) = 15.544092302548448102287232812162 y[1] (numeric) = 15.544092302548448102287232812174 absolute error = 1.2e-29 relative error = 7.7199747443809276025063914366196e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.039 y[1] (analytic) = 15.546247320670245338088287934369 y[1] (numeric) = 15.546247320670245338088287934382 absolute error = 1.3e-29 relative error = 8.3621466530480559850879794398603e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.04 y[1] (analytic) = 15.54840263756169826572326735296 y[1] (numeric) = 15.548402637561698265723267352973 absolute error = 1.3e-29 relative error = 8.3609874937215164828151920018817e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.041 y[1] (analytic) = 15.550558253264228025116402162403 y[1] (numeric) = 15.550558253264228025116402162415 absolute error = 1.2e-29 relative error = 7.7167647646868703373963014729561e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=381.4MB, alloc=4.4MB, time=18.98 x[1] = 4.042 y[1] (analytic) = 15.552714167819261498779230892433 y[1] (numeric) = 15.552714167819261498779230892445 absolute error = 1.2e-29 relative error = 7.7156950680863643299795265382891e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.043 y[1] (analytic) = 15.55487038126823131260674633173 y[1] (numeric) = 15.554870381268231312606746331741 absolute error = 1.1e-29 relative error = 7.0717400597864318443496629614485e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.044 y[1] (analytic) = 15.557026893652575836673652728617 y[1] (numeric) = 15.557026893652575836673652728629 absolute error = 1.2e-29 relative error = 7.7135561197082723112994106973005e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.045 y[1] (analytic) = 15.559183705013739186030733384115 y[1] (numeric) = 15.559183705013739186030733384127 absolute error = 1.2e-29 relative error = 7.7124868678895797321754468490740e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.046 y[1] (analytic) = 15.561340815393171221501328652622 y[1] (numeric) = 15.561340815393171221501328652634 absolute error = 1.2e-29 relative error = 7.7114177642903898097104238869132e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.047 y[1] (analytic) = 15.563498224832327550477924365559 y[1] (numeric) = 15.563498224832327550477924365571 absolute error = 1.2e-29 relative error = 7.7103488088901563820145731239500e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.048 y[1] (analytic) = 15.565655933372669527718850693263 y[1] (numeric) = 15.565655933372669527718850693274 absolute error = 1.1e-29 relative error = 7.0668400015293081240282475046600e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.049 y[1] (analytic) = 15.567813941055664256145091460453 y[1] (numeric) = 15.567813941055664256145091460464 absolute error = 1.1e-29 relative error = 7.0658603973873562198782943732896e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.05 y[1] (analytic) = 15.569972247922784587637203930584 y[1] (numeric) = 15.569972247922784587637203930595 absolute error = 1.1e-29 relative error = 7.0648809290379614872021138615854e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.051 y[1] (analytic) = 15.572130854015509123832349074394 y[1] (numeric) = 15.572130854015509123832349074404 absolute error = 1.0e-29 relative error = 6.4217287240566367137721749716528e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.052 y[1] (analytic) = 15.574289759375322216921432337964 y[1] (numeric) = 15.574289759375322216921432337974 absolute error = 1.0e-29 relative error = 6.4208385451286836201689111122816e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.053 y[1] (analytic) = 15.576448964043713970446354925623 y[1] (numeric) = 15.576448964043713970446354925633 absolute error = 1.0e-29 relative error = 6.4199484895971799597557252287593e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.054 y[1] (analytic) = 15.578608468062180240097375613001 y[1] (numeric) = 15.578608468062180240097375613012 absolute error = 1.1e-29 relative error = 7.0609644131895225917984634840265e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.055 y[1] (analytic) = 15.580768271472222634510583105569 y[1] (numeric) = 15.58076827147222263451058310558 absolute error = 1.1e-29 relative error = 7.0599856235206127846309109960203e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.056 y[1] (analytic) = 15.58292837431534851606547895798 y[1] (numeric) = 15.58292837431534851606547895799 absolute error = 1.0e-29 relative error = 6.4172790632103254875833877021893e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.057 y[1] (analytic) = 15.585088776633071001682671069547 y[1] (numeric) = 15.585088776633071001682671069557 absolute error = 1.0e-29 relative error = 6.4163895010935913241381529915772e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.058 y[1] (analytic) = 15.587249478466908963621677771189 y[1] (numeric) = 15.587249478466908963621677771199 absolute error = 1.0e-29 relative error = 6.4155000622878043291174679236348e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.059 y[1] (analytic) = 15.589410479858387030278842519172 y[1] (numeric) = 15.589410479858387030278842519182 absolute error = 1.0e-29 relative error = 6.4146107467758711602965106361872e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.06 y[1] (analytic) = 15.591571780849035586985359210978 y[1] (numeric) = 15.591571780849035586985359210989 absolute error = 1.1e-29 relative error = 7.0550937099947709294192707770447e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.061 y[1] (analytic) = 15.593733381480390776805408138651 y[1] (numeric) = 15.593733381480390776805408138661 absolute error = 1.0e-29 relative error = 6.4128324855652047794067882301022e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.062 y[1] (analytic) = 15.595895281793994501334402594935 y[1] (numeric) = 15.595895281793994501334402594946 absolute error = 1.1e-29 relative error = 7.0531378938155264018508872747787e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.063 y[1] (analytic) = 15.598057481831394421497346147581 y[1] (numeric) = 15.598057481831394421497346147592 absolute error = 1.1e-29 relative error = 7.0521601890573821100096779777164e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.064 y[1] (analytic) = 15.600219981634143958347300597123 y[1] (numeric) = 15.600219981634143958347300597134 absolute error = 1.1e-29 relative error = 7.0511826198285027338828437037815e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.065 y[1] (analytic) = 15.602382781243802293863964633503 y[1] (numeric) = 15.602382781243802293863964633514 absolute error = 1.1e-29 relative error = 7.0502051861101012301471452810839e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.066 y[1] (analytic) = 15.604545880701934371752363206874 y[1] (numeric) = 15.604545880701934371752363206885 absolute error = 1.1e-29 relative error = 7.0492278878833931597360481599200e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.067 y[1] (analytic) = 15.606709280050110898241647627939 y[1] (numeric) = 15.606709280050110898241647627949 absolute error = 1.0e-29 relative error = 6.4075006592087242613442916342012e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.068 y[1] (analytic) = 15.608872979329908342884006413163 y[1] (numeric) = 15.608872979329908342884006413174 absolute error = 1.1e-29 relative error = 7.0472736978299325817390830853907e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.069 y[1] (analytic) = 15.611036978582908939353686890242 y[1] (numeric) = 15.611036978582908939353686890252 absolute error = 1.0e-29 relative error = 6.4057243690596583764135498274304e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.07 y[1] (analytic) = 15.613201277850700686246127579138 y[1] (numeric) = 15.613201277850700686246127579149 absolute error = 1.1e-29 relative error = 7.0453200495178975587769541446507e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 18.26 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 4.071 y[1] (analytic) = 15.615365877174877347877201364093 y[1] (numeric) = 15.615365877174877347877201364103 absolute error = 1.0e-29 relative error = 6.4039485713345283570074510530839e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.072 y[1] (analytic) = 15.617530776597038455082569471929 y[1] (numeric) = 15.617530776597038455082569471939 absolute error = 1.0e-29 relative error = 6.4030608570882784497664012211480e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=385.3MB, alloc=4.4MB, time=19.19 TOP MAIN SOLVE Loop x[1] = 4.073 y[1] (analytic) = 15.619695976158789306017146272037 y[1] (numeric) = 15.619695976158789306017146272047 absolute error = 1.0e-29 relative error = 6.4021732658968242231878583146599e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.074 y[1] (analytic) = 15.621861475901740966954674913397 y[1] (numeric) = 15.621861475901740966954674913407 absolute error = 1.0e-29 relative error = 6.4012857977431078427220468199339e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.075 y[1] (analytic) = 15.624027275867510273087413814 y[1] (numeric) = 15.62402727586751027308741381401 absolute error = 1.0e-29 relative error = 6.4003984526100738383732739638385e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.076 y[1] (analytic) = 15.626193376097719829325934018043 y[1] (numeric) = 15.626193376097719829325934018053 absolute error = 1.0e-29 relative error = 6.3995112304806691043721556347424e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.077 y[1] (analytic) = 15.628359776633998011099027436269 y[1] (numeric) = 15.628359776633998011099027436278 absolute error = 9e-30 relative error = 5.7587617182040586089630989655016e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.078 y[1] (analytic) = 15.630526477517978965153725984815 y[1] (numeric) = 15.630526477517978965153725984824 absolute error = 9e-30 relative error = 5.7579634396480921591505066908240e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 2.404e+29 TOP MAIN SOLVE Loop x[1] = 4.079 y[1] (analytic) = 15.63269347879130261035543163796 y[1] (numeric) = 15.632693478791302610355431637968 absolute error = 8e-30 relative error = 5.1174802415549879386188264901876e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.08 y[1] (analytic) = 15.634860780495614638488157410128 y[1] (numeric) = 15.634860780495614638488157410137 absolute error = 9e-30 relative error = 5.7563672144925271374232348295914e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.081 y[1] (analytic) = 15.637028382672566515054879282551 y[1] (numeric) = 15.63702838267256651505487928256 absolute error = 9e-30 relative error = 5.7555692678622521179840960194571e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.082 y[1] (analytic) = 15.639196285363815480077999089943 y[1] (numeric) = 15.639196285363815480077999089952 absolute error = 9e-30 relative error = 5.7547714318432013380657439255320e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.083 y[1] (analytic) = 15.6413644886110245488999183826 y[1] (numeric) = 15.641364488611024548899918382609 absolute error = 9e-30 relative error = 5.7539737064200418888450048690741e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.084 y[1] (analytic) = 15.643532992455862512983723279286 y[1] (numeric) = 15.643532992455862512983723279295 absolute error = 9e-30 relative error = 5.7531760915774429869438812474055e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.085 y[1] (analytic) = 15.645701796940003940713980326307 y[1] (numeric) = 15.645701796940003940713980326316 absolute error = 9e-30 relative error = 5.7523785873000759741349226902530e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.086 y[1] (analytic) = 15.647870902105129178197643378157 y[1] (numeric) = 15.647870902105129178197643378166 absolute error = 9e-30 relative error = 5.7515811935726143170466380574882e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.087 y[1] (analytic) = 15.650040307992924350065071515133 y[1] (numeric) = 15.650040307992924350065071515142 absolute error = 9e-30 relative error = 5.7507839103797336068689482726056e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.088 y[1] (analytic) = 15.652210014645081360271158013304 y[1] (numeric) = 15.652210014645081360271158013313 absolute error = 9e-30 relative error = 5.7499867377061115590586799862785e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.089 y[1] (analytic) = 15.65438002210329789289657038224 y[1] (numeric) = 15.65438002210329789289657038225 absolute error = 1.0e-29 relative error = 6.3879885283738089033834445159249e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.09 y[1] (analytic) = 15.656550330409277412949101485896 y[1] (numeric) = 15.656550330409277412949101485906 absolute error = 1.0e-29 relative error = 6.3871030265059610354838787716398e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.091 y[1] (analytic) = 15.658720939604729167165131762045 y[1] (numeric) = 15.658720939604729167165131762055 absolute error = 1.0e-29 relative error = 6.3862176473862293358008516734813e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.092 y[1] (analytic) = 15.660891849731368184811202555675 y[1] (numeric) = 15.660891849731368184811202555685 absolute error = 1.0e-29 relative error = 6.3853323909975984816456994419096e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.093 y[1] (analytic) = 15.663063060830915278485700581742 y[1] (numeric) = 15.663063060830915278485700581752 absolute error = 1.0e-29 relative error = 6.3844472573230555089908541841084e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.094 y[1] (analytic) = 15.665234572945097044920653532696 y[1] (numeric) = 15.665234572945097044920653532706 absolute error = 1.0e-29 relative error = 6.3835622463455898121428866997514e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.095 y[1] (analytic) = 15.667406386115645865783636846184 y[1] (numeric) = 15.667406386115645865783636846194 absolute error = 1.0e-29 relative error = 6.3826773580481931434155946095194e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.096 y[1] (analytic) = 15.669578500384299908479791648341 y[1] (numeric) = 15.669578500384299908479791648351 absolute error = 1.0e-29 relative error = 6.3817925924138596128031358000849e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.097 y[1] (analytic) = 15.671750915792803126953953888081 y[1] (numeric) = 15.671750915792803126953953888091 absolute error = 1.0e-29 relative error = 6.3809079494255856876532071792826e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.098 y[1] (analytic) = 15.673923632382905262492894677813 y[1] (numeric) = 15.673923632382905262492894677823 absolute error = 1.0e-29 relative error = 6.3800234290663701923402687351823e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.099 y[1] (analytic) = 15.676096650196361844527671855981 y[1] (numeric) = 15.676096650196361844527671855992 absolute error = 1.1e-29 relative error = 7.0170529344511357387326941820692e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.1 y[1] (analytic) = 15.678269969274934191436092786873 y[1] (numeric) = 15.678269969274934191436092786884 absolute error = 1.1e-29 relative error = 7.0160802317838337290863470782994e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.101 y[1] (analytic) = 15.680443589660389411345288413091 y[1] (numeric) = 15.680443589660389411345288413102 absolute error = 1.1e-29 relative error = 7.0151076639524076654792554782752e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.102 y[1] (analytic) = 15.682617511394500402934398576136 y[1] (numeric) = 15.682617511394500402934398576146 absolute error = 1.0e-29 relative error = 6.3764865735801514745886763780647e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=389.1MB, alloc=4.4MB, time=19.40 x[1] = 4.103 y[1] (analytic) = 15.684791734519045856237368620508 y[1] (numeric) = 15.684791734519045856237368620518 absolute error = 1.0e-29 relative error = 6.3756026661112929671456875552823e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.104 y[1] (analytic) = 15.686966259075810253445857296771 y[1] (numeric) = 15.686966259075810253445857296781 absolute error = 1.0e-29 relative error = 6.3747188811695353150547275403456e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.105 y[1] (analytic) = 15.689141085106583869712255978997 y[1] (numeric) = 15.689141085106583869712255979007 absolute error = 1.0e-29 relative error = 6.3738352187378938327316757464616e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.106 y[1] (analytic) = 15.691316212653162773952819212029 y[1] (numeric) = 15.691316212653162773952819212039 absolute error = 1.0e-29 relative error = 6.3729516787993861890065973268144e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.107 y[1] (analytic) = 15.693491641757348829650906603998 y[1] (numeric) = 15.693491641757348829650906604008 absolute error = 1.0e-29 relative error = 6.3720682613370324067973746862842e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.108 y[1] (analytic) = 15.695667372460949695660336079528 y[1] (numeric) = 15.695667372460949695660336079538 absolute error = 1.0e-29 relative error = 6.3711849663338548627833842343107e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.109 y[1] (analytic) = 15.697843404805778827008848509072 y[1] (numeric) = 15.697843404805778827008848509082 absolute error = 1.0e-29 relative error = 6.3703017937728782870792183726265e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.11 y[1] (analytic) = 15.700019738833655475701683729813 y[1] (numeric) = 15.700019738833655475701683729823 absolute error = 1.0e-29 relative error = 6.3694187436371297629084527115956e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.111 y[1] (analytic) = 15.702196374586404691525267973581 y[1] (numeric) = 15.70219637458640469152526797359 absolute error = 9e-30 relative error = 5.7316822343186748536497126579934e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.112 y[1] (analytic) = 15.704373312105857322851012717226 y[1] (numeric) = 15.704373312105857322851012717235 absolute error = 9e-30 relative error = 5.7308877095160932690843342917624e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.113 y[1] (analytic) = 15.7065505514338500174392249709 y[1] (numeric) = 15.706550551433850017439224970909 absolute error = 9e-30 relative error = 5.7300932948504027594556949953733e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.114 y[1] (analytic) = 15.70872809261222522324312901969 y[1] (numeric) = 15.708728092612225223243129019699 absolute error = 9e-30 relative error = 5.7292989903063361679220712336114e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.115 y[1] (analytic) = 15.710905935682831189212999634058 y[1] (numeric) = 15.710905935682831189212999634067 absolute error = 9e-30 relative error = 5.7285047958686284539723872212055e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.116 y[1] (analytic) = 15.713084080687521966100406764547 y[1] (numeric) = 15.713084080687521966100406764556 absolute error = 9e-30 relative error = 5.7277107115220166931328495335110e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.117 y[1] (analytic) = 15.715262527668157407262571736195 y[1] (numeric) = 15.715262527668157407262571736205 absolute error = 1.0e-29 relative error = 6.3632408191680445296373582038412e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.118 y[1] (analytic) = 15.717441276666603169466834958137 y[1] (numeric) = 15.717441276666603169466834958146 absolute error = 9e-30 relative error = 5.7261228730410399113155435591104e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.119 y[1] (analytic) = 15.719620327724730713695235163826 y[1] (numeric) = 15.719620327724730713695235163835 absolute error = 9e-30 relative error = 5.7253291188761596189368810162323e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.12 y[1] (analytic) = 15.721799680884417305949200197367 y[1] (numeric) = 15.721799680884417305949200197376 absolute error = 9e-30 relative error = 5.7245354747413447362801301201800e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.121 y[1] (analytic) = 15.723979336187546018054349361407 y[1] (numeric) = 15.723979336187546018054349361416 absolute error = 9e-30 relative error = 5.7237419406213429146588515315263e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.122 y[1] (analytic) = 15.726159293676005728465407342053 y[1] (numeric) = 15.726159293676005728465407342061 absolute error = 8e-30 relative error = 5.0870653480008034841462664264552e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 4.123 y[1] (analytic) = 15.728339553391691123071229726289 y[1] (numeric) = 15.728339553391691123071229726298 absolute error = 9e-30 relative error = 5.7221552023647796308735921694460e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.124 y[1] (analytic) = 15.730520115376502695999940127369 y[1] (numeric) = 15.730520115376502695999940127378 absolute error = 9e-30 relative error = 5.7213619981977240415541690631687e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.125 y[1] (analytic) = 15.732700979672346750424178933643 y[1] (numeric) = 15.732700979672346750424178933652 absolute error = 9e-30 relative error = 5.7205689039844932583732937857048e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.126 y[1] (analytic) = 15.734882146321135399366463696305 y[1] (numeric) = 15.734882146321135399366463696314 absolute error = 9e-30 relative error = 5.7197759197098455011038438937159e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.127 y[1] (analytic) = 15.73706361536478656650466117154 y[1] (numeric) = 15.737063615364786566504661171549 absolute error = 9e-30 relative error = 5.7189830453585411023316427553771e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.128 y[1] (analytic) = 15.73924538684522398697757103254 y[1] (numeric) = 15.73924538684522398697757103255 absolute error = 1.0e-29 relative error = 6.3535447565726027857362019825538e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.129 y[1] (analytic) = 15.741427460804377208190621266885 y[1] (numeric) = 15.741427460804377208190621266894 absolute error = 9e-30 relative error = 5.7173976263650142729297832721098e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.13 y[1] (analytic) = 15.743609837284181590621675274752 y[1] (numeric) = 15.743609837284181590621675274762 absolute error = 1.0e-29 relative error = 6.3517834241025811876675597934306e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.131 y[1] (analytic) = 15.745792516326578308626950683469 y[1] (numeric) = 15.745792516326578308626950683478 absolute error = 9e-30 relative error = 5.7158126468820376759848783221856e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.132 y[1] (analytic) = 15.747975497973514351247049893864 y[1] (numeric) = 15.747975497973514351247049893873 absolute error = 9e-30 relative error = 5.7150203219189289864402046198580e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.133 y[1] (analytic) = 15.750158782266942523013102373939 y[1] (numeric) = 15.750158782266942523013102373948 memory used=392.9MB, alloc=4.4MB, time=19.61 absolute error = 9e-30 relative error = 5.7142281067877700035812686130336e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.134 y[1] (analytic) = 15.752342369248821444753018715329 y[1] (numeric) = 15.752342369248821444753018715338 absolute error = 9e-30 relative error = 5.7134360014733358414862100316302e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.135 y[1] (analytic) = 15.754526258961115554397856468059 y[1] (numeric) = 15.754526258961115554397856468067 absolute error = 8e-30 relative error = 5.0779057830759144219593144319790e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.136 y[1] (analytic) = 15.756710451445795107788297769087 y[1] (numeric) = 15.756710451445795107788297769096 absolute error = 9e-30 relative error = 5.7118521202337529879630315825231e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.137 y[1] (analytic) = 15.758894946744836179481238780146 y[1] (numeric) = 15.758894946744836179481238780155 absolute error = 9e-30 relative error = 5.7110603442781650758763198432158e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.138 y[1] (analytic) = 15.761079744900220663556490950361 y[1] (numeric) = 15.76107974490022066355649095037 absolute error = 9e-30 relative error = 5.7102686780784235426513171729156e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.139 y[1] (analytic) = 15.763264845953936274423594119172 y[1] (numeric) = 15.763264845953936274423594119181 absolute error = 9e-30 relative error = 5.7094771216193140517963381192387e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.14 y[1] (analytic) = 15.765450249947976547628741475046 y[1] (numeric) = 15.765450249947976547628741475055 absolute error = 9e-30 relative error = 5.7086856748856243758283971692017e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.141 y[1] (analytic) = 15.767635956924340840661816385504 y[1] (numeric) = 15.767635956924340840661816385513 absolute error = 9e-30 relative error = 5.7078943378621443959808583270474e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.142 y[1] (analytic) = 15.769821966925034333763541113955 y[1] (numeric) = 15.769821966925034333763541113964 absolute error = 9e-30 relative error = 5.7071031105336661019111252176391e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.143 y[1] (analytic) = 15.772008279992068030732737438865 y[1] (numeric) = 15.772008279992068030732737438874 absolute error = 9e-30 relative error = 5.7063119928849835914083717097989e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.144 y[1] (analytic) = 15.774194896167458759733699190764 y[1] (numeric) = 15.774194896167458759733699190773 absolute error = 9e-30 relative error = 5.7055209849008930701013130539794e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.145 y[1] (analytic) = 15.776381815493229174103676722612 y[1] (numeric) = 15.776381815493229174103676722621 absolute error = 9e-30 relative error = 5.7047300865661928511660175286480e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.146 y[1] (analytic) = 15.778569038011407753160473329041 y[1] (numeric) = 15.77856903801140775316047332905 absolute error = 9e-30 relative error = 5.7039392978656833550337585897714e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.147 y[1] (analytic) = 15.780756563764028803010153629995 y[1] (numeric) = 15.780756563764028803010153630004 absolute error = 9e-30 relative error = 5.7031486187841671090989075177841e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.148 y[1] (analytic) = 15.782944392793132457354863934287 y[1] (numeric) = 15.782944392793132457354863934296 absolute error = 9e-30 relative error = 5.7023580493064487474268665564287e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.149 y[1] (analytic) = 15.785132525140764678300764598603 y[1] (numeric) = 15.785132525140764678300764598612 absolute error = 9e-30 relative error = 5.7015675894173350104620425378529e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.15 y[1] (analytic) = 15.787320960848977257166074397474 y[1] (numeric) = 15.787320960848977257166074397483 absolute error = 9e-30 relative error = 5.7007772391016347447358609883536e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.151 y[1] (analytic) = 15.789509699959827815289226919754 y[1] (numeric) = 15.789509699959827815289226919763 absolute error = 9e-30 relative error = 5.6999869983441589025748207091532e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.152 y[1] (analytic) = 15.791698742515379804837139007121 y[1] (numeric) = 15.79169874251537980483713900713 absolute error = 9e-30 relative error = 5.6991968671297205418085888266024e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.153 y[1] (analytic) = 15.793888088557702509613591250151 y[1] (numeric) = 15.79388808855770250961359125016 absolute error = 9e-30 relative error = 5.6984068454431348254781363061942e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.154 y[1] (analytic) = 15.796077738128871045867720557488 y[1] (numeric) = 15.796077738128871045867720557497 absolute error = 9e-30 relative error = 5.6976169332692190215439139247841e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.155 y[1] (analytic) = 15.798267691270966363102624813653 y[1] (numeric) = 15.798267691270966363102624813662 absolute error = 9e-30 relative error = 5.6968271305927925025940686954061e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.156 y[1] (analytic) = 15.80045794802607524488407964103 y[1] (numeric) = 15.80045794802607524488407964104 absolute error = 1.0e-29 relative error = 6.3289304859985297172807785989758e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.157 y[1] (analytic) = 15.802648508436290309649367281578 y[1] (numeric) = 15.802648508436290309649367281588 absolute error = 1.0e-29 relative error = 6.3280531707463281459868451088758e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.158 y[1] (analytic) = 15.804839372543710011516217613796 y[1] (numeric) = 15.804839372543710011516217613806 absolute error = 1.0e-29 relative error = 6.3271759771074154942459855382877e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.159 y[1] (analytic) = 15.80703054039043864109186132051 y[1] (numeric) = 15.80703054039043864109186132052 absolute error = 1.0e-29 relative error = 6.3262989050649337489269832889786e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.16 y[1] (analytic) = 15.809222012018586326282195223014 y[1] (numeric) = 15.809222012018586326282195223024 absolute error = 1.0e-29 relative error = 6.3254219546020272337534939326802e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.161 y[1] (analytic) = 15.811413787470269033101059797117 y[1] (numeric) = 15.811413787470269033101059797127 absolute error = 1.0e-29 relative error = 6.3245451257018426089801107918280e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.162 y[1] (analytic) = 15.813605866787608566479628886659 y[1] (numeric) = 15.81360586678760856647962888667 absolute error = 1.1e-29 relative error = 6.9560352601822817581753229664333e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.163 y[1] (analytic) = 15.815798250012732571075911630045 y[1] (numeric) = 15.815798250012732571075911630055 absolute error = 1.0e-29 relative error = 6.3227918325222373523634330040465e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=396.7MB, alloc=4.4MB, time=19.81 x[1] = 4.164 y[1] (analytic) = 15.817990937187774532084366615342 y[1] (numeric) = 15.817990937187774532084366615352 absolute error = 1.0e-29 relative error = 6.3219153682091217207692325970548e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.165 y[1] (analytic) = 15.820183928354873776045628279524 y[1] (numeric) = 15.820183928354873776045628279535 absolute error = 1.1e-29 relative error = 6.9531429279304717773683495486740e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.166 y[1] (analytic) = 15.822377223556175471656345567409 y[1] (numeric) = 15.822377223556175471656345567419 absolute error = 1.0e-29 relative error = 6.3201628040520444663848893636413e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.167 y[1] (analytic) = 15.824570822833830630579132865841 y[1] (numeric) = 15.824570822833830630579132865852 absolute error = 1.1e-29 relative error = 6.9512153745918420397153644258371e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.168 y[1] (analytic) = 15.826764726229996108252633228721 y[1] (numeric) = 15.826764726229996108252633228732 absolute error = 1.1e-29 relative error = 6.9502517983157304650395493903187e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.169 y[1] (analytic) = 15.828958933786834604701693908406 y[1] (numeric) = 15.828958933786834604701693908417 absolute error = 1.1e-29 relative error = 6.9492883556103960639263609066733e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.17 y[1] (analytic) = 15.831153445546514665347654209086 y[1] (numeric) = 15.831153445546514665347654209098 absolute error = 1.2e-29 relative error = 7.5799909597716253944933047744219e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.171 y[1] (analytic) = 15.833348261551210681818745677694 y[1] (numeric) = 15.833348261551210681818745677705 absolute error = 1.1e-29 relative error = 6.9473618708379991166502536619162e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.172 y[1] (analytic) = 15.835543381843102892760604647915 y[1] (numeric) = 15.835543381843102892760604647926 absolute error = 1.1e-29 relative error = 6.9463988287339131538214161825818e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.173 y[1] (analytic) = 15.837738806464377384646897152892 y[1] (numeric) = 15.837738806464377384646897152904 absolute error = 1.2e-29 relative error = 7.5768391855926082151038334537775e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.174 y[1] (analytic) = 15.839934535457226092590056222194 y[1] (numeric) = 15.839934535457226092590056222206 absolute error = 1.2e-29 relative error = 7.5757888854517384941716064095978e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.175 y[1] (analytic) = 15.842130568863846801152131578622 y[1] (numeric) = 15.842130568863846801152131578634 absolute error = 1.2e-29 relative error = 7.5747387309032931193391003389761e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.176 y[1] (analytic) = 15.84432690672644314515575175045 y[1] (numeric) = 15.844326906726443145155751750462 absolute error = 1.2e-29 relative error = 7.5736887219270900938587740431285e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.177 y[1] (analytic) = 15.846523549087224610495198614678 y[1] (numeric) = 15.84652354908722461049519861469 absolute error = 1.2e-29 relative error = 7.5726388585029502186079939867791e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.178 y[1] (analytic) = 15.848720495988406534947594386886 y[1] (numeric) = 15.848720495988406534947594386898 absolute error = 1.2e-29 relative error = 7.5715891406106970917012280160612e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.179 y[1] (analytic) = 15.850917747472210108984201073274 y[1] (numeric) = 15.850917747472210108984201073285 absolute error = 1.1e-29 relative error = 6.9396612708776440157604350978894e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.18 y[1] (analytic) = 15.853115303580862376581832400487 y[1] (numeric) = 15.853115303580862376581832400499 absolute error = 1.2e-29 relative error = 7.5694901413411594592366552265474e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.181 y[1] (analytic) = 15.855313164356596236034378238822 y[1] (numeric) = 15.855313164356596236034378238833 absolute error = 1.1e-29 relative error = 6.9377374549299081215534714445656e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.182 y[1] (analytic) = 15.857511329841650440764441534389 y[1] (numeric) = 15.8575113298416504407644415344 absolute error = 1.1e-29 relative error = 6.9367757469606950854404426844168e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.183 y[1] (analytic) = 15.85970980007826960013508776586 y[1] (numeric) = 15.859709800078269600135087765871 absolute error = 1.1e-29 relative error = 6.9358141723032748429055459740127e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.184 y[1] (analytic) = 15.861908575108704180261706941379 y[1] (numeric) = 15.861908575108704180261706941391 absolute error = 1.2e-29 relative error = 7.5652938882972738940675519131827e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.185 y[1] (analytic) = 15.864107654975210504823988151248 y[1] (numeric) = 15.864107654975210504823988151259 absolute error = 1.1e-29 relative error = 6.9338914228498966693363458171525e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.186 y[1] (analytic) = 15.866307039720050755878006691979 y[1] (numeric) = 15.86630703972005075587800669199 absolute error = 1.1e-29 relative error = 6.9329302480169871074474592504244e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.187 y[1] (analytic) = 15.868506729385492974668423777351 y[1] (numeric) = 15.868506729385492974668423777362 absolute error = 1.1e-29 relative error = 6.9319692064219670767173975952270e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.188 y[1] (analytic) = 15.870706724013811062440798852039 y[1] (numeric) = 15.870706724013811062440798852051 absolute error = 1.2e-29 relative error = 7.5610999615051278151455891576491e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.189 y[1] (analytic) = 15.87290702364728478125401452346 y[1] (numeric) = 15.872907023647284781254014523472 absolute error = 1.2e-29 relative error = 7.5600518431327860173561595795514e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.19 y[1] (analytic) = 15.875107628328199754792814127429 y[1] (numeric) = 15.875107628328199754792814127441 absolute error = 1.2e-29 relative error = 7.5590038700504321886901361126704e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.191 y[1] (analytic) = 15.877308538098847469180451943251 y[1] (numeric) = 15.877308538098847469180451943263 absolute error = 1.2e-29 relative error = 7.5579560422379262560783824480057e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.192 y[1] (analytic) = 15.879509753001525273791456073862 y[1] (numeric) = 15.879509753001525273791456073875 absolute error = 1.3e-29 relative error = 8.1866507229813918497873182775593e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.193 y[1] (analytic) = 15.881711273078536382064504006645 y[1] (numeric) = 15.881711273078536382064504006657 absolute error = 1.2e-29 relative error = 7.5558608223419117454214115650268e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.194 y[1] (analytic) = 15.883913098372189872315410870524 y[1] (numeric) = 15.883913098372189872315410870537 absolute error = 1.3e-29 relative error = 8.1843812160696483936536826812864e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=400.5MB, alloc=4.4MB, time=20.02 TOP MAIN SOLVE Loop x[1] = 4.195 y[1] (analytic) = 15.886115228924800688550230404996 y[1] (numeric) = 15.886115228924800688550230405008 absolute error = 1.2e-29 relative error = 7.5537661832836777301356112831116e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.196 y[1] (analytic) = 15.888317664778689641278468656681 y[1] (numeric) = 15.888317664778689641278468656693 absolute error = 1.2e-29 relative error = 7.5527190815184078816851748524305e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.197 y[1] (analytic) = 15.890520405976183408326410419063 y[1] (numeric) = 15.890520405976183408326410419075 absolute error = 1.2e-29 relative error = 7.5516721249022041054135898368490e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.198 y[1] (analytic) = 15.89272345255961453565055843102 y[1] (numeric) = 15.892723452559614535650558431032 absolute error = 1.2e-29 relative error = 7.5506253134149458628207647523226e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.199 y[1] (analytic) = 15.894926804571321438151185349794 y[1] (numeric) = 15.894926804571321438151185349806 absolute error = 1.2e-29 relative error = 7.5495786470365154045121841186451e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.2 y[1] (analytic) = 15.897130462053648400485998514026 y[1] (numeric) = 15.897130462053648400485998514039 absolute error = 1.3e-29 relative error = 8.1775764695590309172966400527736e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.201 y[1] (analytic) = 15.899334425048945577883917512504 y[1] (numeric) = 15.899334425048945577883917512517 absolute error = 1.3e-29 relative error = 8.1764428953194875185760322177069e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.202 y[1] (analytic) = 15.901538693599568996958964574246 y[1] (numeric) = 15.901538693599568996958964574259 absolute error = 1.3e-29 relative error = 8.1753094782158096589626070948141e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.203 y[1] (analytic) = 15.903743267747880556524267795581 y[1] (numeric) = 15.903743267747880556524267795594 absolute error = 1.3e-29 relative error = 8.1741762182262151918819417082772e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.204 y[1] (analytic) = 15.905948147536248028406177219853 y[1] (numeric) = 15.905948147536248028406177219866 absolute error = 1.3e-29 relative error = 8.1730431153289249901970137154581e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.205 y[1] (analytic) = 15.908153333007045058258493785403 y[1] (numeric) = 15.908153333007045058258493785416 absolute error = 1.3e-29 relative error = 8.1719101695021629457896475152886e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.206 y[1] (analytic) = 15.910358824202651166376811157478 y[1] (numeric) = 15.910358824202651166376811157491 absolute error = 1.3e-29 relative error = 8.1707773807241559691420183765280e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.207 y[1] (analytic) = 15.912564621165451748512970459713 y[1] (numeric) = 15.912564621165451748512970459725 absolute error = 1.2e-29 relative error = 7.5412105375136621436168134564735e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.208 y[1] (analytic) = 15.914770723937838076689627920834 y[1] (numeric) = 15.914770723937838076689627920846 absolute error = 1.2e-29 relative error = 7.5401651762098430321961762015645e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.209 y[1] (analytic) = 15.916977132562207300014935452255 y[1] (numeric) = 15.916977132562207300014935452267 absolute error = 1.2e-29 relative error = 7.5391199598138275268902584836130e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.21 y[1] (analytic) = 15.919183847080962445497334172197 y[1] (numeric) = 15.919183847080962445497334172209 absolute error = 1.2e-29 relative error = 7.5380748883055285329603958225095e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.211 y[1] (analytic) = 15.921390867536512418860460892017 y[1] (numeric) = 15.921390867536512418860460892029 absolute error = 1.2e-29 relative error = 7.5370299616648617401375313021633e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.212 y[1] (analytic) = 15.923598193971272005358167580388 y[1] (numeric) = 15.9235981939712720053581675804 absolute error = 1.2e-29 relative error = 7.5359851798717456222362328738350e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.213 y[1] (analytic) = 15.925805826427661870589653820998 y[1] (numeric) = 15.92580582642766187058965382101 absolute error = 1.2e-29 relative error = 7.5349405429061014367687641643248e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.214 y[1] (analytic) = 15.928013764948108561314712279441 y[1] (numeric) = 15.928013764948108561314712279453 absolute error = 1.2e-29 relative error = 7.5338960507478532245592087815967e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.215 y[1] (analytic) = 15.930222009575044506269087194956 y[1] (numeric) = 15.930222009575044506269087194968 absolute error = 1.2e-29 relative error = 7.5328517033769278093576481104262e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.216 y[1] (analytic) = 15.932430560350908016979945912693 y[1] (numeric) = 15.932430560350908016979945912704 absolute error = 1.1e-29 relative error = 6.9041568757088168976665265414338e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.217 y[1] (analytic) = 15.934639417318143288581463472169 y[1] (numeric) = 15.934639417318143288581463472181 absolute error = 1.2e-29 relative error = 7.5307634429167665772942664706405e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.218 y[1] (analytic) = 15.936848580519200400630520267602 y[1] (numeric) = 15.936848580519200400630520267614 absolute error = 1.2e-29 relative error = 7.5297195297873983190909460284826e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.219 y[1] (analytic) = 15.939058049996535317922512795778 y[1] (numeric) = 15.93905804999653531792251279579 absolute error = 1.2e-29 relative error = 7.5286757613650879744413512536254e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.22 y[1] (analytic) = 15.941267825792609891307277507152 y[1] (numeric) = 15.941267825792609891307277507164 absolute error = 1.2e-29 relative error = 7.5276321376297762759400909814126e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.221 y[1] (analytic) = 15.943477907949891858505127775849 y[1] (numeric) = 15.94347790794989185850512777586 absolute error = 1.1e-29 relative error = 6.8993729370146228420611313504270e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.222 y[1] (analytic) = 15.945688296510854844923004004245 y[1] (numeric) = 15.945688296510854844923004004257 absolute error = 1.2e-29 relative error = 7.5255453241399256504364984345713e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.223 y[1] (analytic) = 15.947898991517978364470736877839 y[1] (numeric) = 15.94789899151797836447073687785 absolute error = 1.1e-29 relative error = 6.8974602898165085826307005923480e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.224 y[1] (analytic) = 15.950109993013747820377423786055 y[1] (numeric) = 15.950109993013747820377423786066 absolute error = 1.1e-29 relative error = 6.8965041650609755829228397664091e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=404.3MB, alloc=4.4MB, time=20.23 x[1] = 4.225 y[1] (analytic) = 15.952321301040654506007918424721 y[1] (numeric) = 15.952321301040654506007918424733 absolute error = 1.2e-29 relative error = 7.5224161885563177377396452405422e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.226 y[1] (analytic) = 15.954532915641195605679433595869 y[1] (numeric) = 15.95453291564119560567943359588 absolute error = 1.1e-29 relative error = 6.8945923131450832389260310258648e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.227 y[1] (analytic) = 15.956744836857874195478257220567 y[1] (numeric) = 15.956744836857874195478257220578 absolute error = 1.1e-29 relative error = 6.8936365859479816939720095314316e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.228 y[1] (analytic) = 15.958957064733199244076581580495 y[1] (numeric) = 15.958957064733199244076581580506 absolute error = 1.1e-29 relative error = 6.8926809912336193442099536477132e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.229 y[1] (analytic) = 15.961169599309685613549445803932 y[1] (numeric) = 15.961169599309685613549445803943 absolute error = 1.1e-29 relative error = 6.8917255289836314551864643182082e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.23 y[1] (analytic) = 15.963382440629854060191791611876 y[1] (numeric) = 15.963382440629854060191791611887 absolute error = 1.1e-29 relative error = 6.8907701991796558381644644214489e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.231 y[1] (analytic) = 15.965595588736231235335632339991 y[1] (numeric) = 15.965595588736231235335632340003 absolute error = 1.2e-29 relative error = 7.5161618201490903815676131057469e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.232 y[1] (analytic) = 15.967809043671349686167335252095 y[1] (numeric) = 15.967809043671349686167335252107 absolute error = 1.2e-29 relative error = 7.5151199310941513363355954416345e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 44.72 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 4.233 y[1] (analytic) = 15.970022805477747856545017160871 y[1] (numeric) = 15.970022805477747856545017160883 absolute error = 1.2e-29 relative error = 7.5140781864656933564412868865441e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.234 y[1] (analytic) = 15.972236874197970087816053371545 y[1] (numeric) = 15.972236874197970087816053371557 absolute error = 1.2e-29 relative error = 7.5130365862436960679935952751431e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.235 y[1] (analytic) = 15.974451249874566619634699964214 y[1] (numeric) = 15.974451249874566619634699964225 absolute error = 1.1e-29 relative error = 6.8859955362074633829620199898353e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.236 y[1] (analytic) = 15.976665932550093590779829430545 y[1] (numeric) = 15.976665932550093590779829430557 absolute error = 1.2e-29 relative error = 7.5109538189390159455928695128423e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.237 y[1] (analytic) = 15.978880922267113039972779680574 y[1] (numeric) = 15.978880922267113039972779680586 absolute error = 1.2e-29 relative error = 7.5099126518163062384227777738194e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.238 y[1] (analytic) = 15.981096219068192906695316435295 y[1] (numeric) = 15.981096219068192906695316435307 absolute error = 1.2e-29 relative error = 7.5088716290200034754959465260133e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.239 y[1] (analytic) = 15.983311822995907032007709020785 y[1] (numeric) = 15.983311822995907032007709020797 absolute error = 1.2e-29 relative error = 7.5078307505301011551786865031720e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.24 y[1] (analytic) = 15.985527734092835159366919579575 y[1] (numeric) = 15.985527734092835159366919579587 absolute error = 1.2e-29 relative error = 7.5067900163265955491351136940525e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.241 y[1] (analytic) = 15.98774395240156293544490571499 y[1] (numeric) = 15.987743952401562935444905715002 absolute error = 1.2e-29 relative error = 7.5057494263894857019427152790634e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.242 y[1] (analytic) = 15.989960477964681910947036584186 y[1] (numeric) = 15.989960477964681910947036584198 absolute error = 1.2e-29 relative error = 7.5047089806987734307079688570900e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.243 y[1] (analytic) = 15.992177310824789541430622455618 y[1] (numeric) = 15.992177310824789541430622455629 absolute error = 1.1e-29 relative error = 6.8783629559649247142918470421880e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.244 y[1] (analytic) = 15.994394451024489188123557746657 y[1] (numeric) = 15.994394451024489188123557746668 absolute error = 1.1e-29 relative error = 6.8774094784785158494700175788107e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.245 y[1] (analytic) = 15.996611898606390118743077557104 y[1] (numeric) = 15.996611898606390118743077557116 absolute error = 1.2e-29 relative error = 7.5015885089050818236787694377896e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.246 y[1] (analytic) = 15.998829653613107508314627714326 y[1] (numeric) = 15.998829653613107508314627714338 absolute error = 1.2e-29 relative error = 7.5005486400000334644688719149205e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.247 y[1] (analytic) = 16.001047716087262439990848345749 y[1] (numeric) = 16.001047716087262439990848345761 absolute error = 1.2e-29 relative error = 7.4995089152414333412342729776653e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.248 y[1] (analytic) = 16.003266086071481905870670994458 y[1] (numeric) = 16.00326608607148190587067099447 absolute error = 1.2e-29 relative error = 7.4984693346092998981863798187230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.249 y[1] (analytic) = 16.005484763608398807818529293637 y[1] (numeric) = 16.005484763608398807818529293649 absolute error = 1.2e-29 relative error = 7.4974298980836543493764161417963e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.25 y[1] (analytic) = 16.007703748740651958283683215595 y[1] (numeric) = 16.007703748740651958283683215606 absolute error = 1.1e-29 relative error = 6.8716913885074772884521784903661e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.251 y[1] (analytic) = 16.00992304151088608111965691112 y[1] (numeric) = 16.009923041510886081119656911132 absolute error = 1.2e-29 relative error = 7.4953514572719256375705795222231e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.252 y[1] (analytic) = 16.012142641961751812403790154925 y[1] (numeric) = 16.012142641961751812403790154937 absolute error = 1.2e-29 relative error = 7.4943124529458987484209101953070e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.253 y[1] (analytic) = 16.014362550135905701256903412908 y[1] (numeric) = 16.01436255013590570125690341292 absolute error = 1.2e-29 relative error = 7.4932735926464723004339342359292e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.254 y[1] (analytic) = 16.01658276607601021066307654701 y[1] (numeric) = 16.016582766076010210663076547021 absolute error = 1.1e-29 relative error = 6.8678819699908745718432263782538e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.255 y[1] (analytic) = 16.018803289824733718289541173393 y[1] (numeric) = 16.018803289824733718289541173405 absolute error = 1.2e-29 relative error = 7.4911963040475637254531482718099e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=408.1MB, alloc=4.4MB, time=20.43 TOP MAIN SOLVE Loop x[1] = 4.256 y[1] (analytic) = 16.021024121424750517306686689735 y[1] (numeric) = 16.021024121424750517306686689748 absolute error = 1.3e-29 relative error = 8.1143376986838400169763335546409e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.257 y[1] (analytic) = 16.023245260918740817208179987357 y[1] (numeric) = 16.023245260918740817208179987369 absolute error = 1.2e-29 relative error = 7.4891195913155135807054977404904e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.258 y[1] (analytic) = 16.02546670834939074463119886397 y[1] (numeric) = 16.025466708349390744631198863983 absolute error = 1.3e-29 relative error = 8.1120882384204764247209392085192e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.259 y[1] (analytic) = 16.027688463759392344176779152811 y[1] (numeric) = 16.027688463759392344176779152824 absolute error = 1.3e-29 relative error = 8.1109637421482364527986639233334e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.26 y[1] (analytic) = 16.029910527191443579230275583904 y[1] (numeric) = 16.029910527191443579230275583917 absolute error = 1.3e-29 relative error = 8.1098394017534757583706878616392e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.261 y[1] (analytic) = 16.032132898688248332781936393246 y[1] (numeric) = 16.032132898688248332781936393259 absolute error = 1.3e-29 relative error = 8.1087152172145866321490958197985e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.262 y[1] (analytic) = 16.034355578292516408247591695666 y[1] (numeric) = 16.034355578292516408247591695679 absolute error = 1.3e-29 relative error = 8.1075911885099643601029066628227e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.263 y[1] (analytic) = 16.03657856604696353028945563714 y[1] (numeric) = 16.036578566046963530289455637153 absolute error = 1.3e-29 relative error = 8.1064673156180072230428713248661e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.264 y[1] (analytic) = 16.038801861994311345637042342332 y[1] (numeric) = 16.038801861994311345637042342345 absolute error = 1.3e-29 relative error = 8.1053435985171164962063283649496e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.265 y[1] (analytic) = 16.041025466177287423908195673138 y[1] (numeric) = 16.041025466177287423908195673151 absolute error = 1.3e-29 relative error = 8.1042200371856964488421170699358e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.266 y[1] (analytic) = 16.043249378638625258430232814014 y[1] (numeric) = 16.043249378638625258430232814027 absolute error = 1.3e-29 relative error = 8.1030966316021543437955480967776e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.267 y[1] (analytic) = 16.045473599421064267061201699863 y[1] (numeric) = 16.045473599421064267061201699877 absolute error = 1.4e-29 relative error = 8.7252021034175850861006186957632e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.268 y[1] (analytic) = 16.047698128567349793011252302278 y[1] (numeric) = 16.047698128567349793011252302291 absolute error = 1.3e-29 relative error = 8.1008502875923479775291631588959e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.269 y[1] (analytic) = 16.049922966120233105664121789896 y[1] (numeric) = 16.04992296612023310566412178991 absolute error = 1.4e-29 relative error = 8.7227832990554449913438562621005e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.27 y[1] (analytic) = 16.0521481121224714013987335787 y[1] (numeric) = 16.052148112122471401398733578713 absolute error = 1.3e-29 relative error = 8.0986045663150153563315948228008e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.271 y[1] (analytic) = 16.054373566616827804410910287997 y[1] (numeric) = 16.05437356661682780441091028801 absolute error = 1.3e-29 relative error = 8.0974819391470766523845884974859e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.272 y[1] (analytic) = 16.056599329646071367535200617923 y[1] (numeric) = 16.056599329646071367535200617936 absolute error = 1.3e-29 relative error = 8.0963594675975223101185911123699e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.273 y[1] (analytic) = 16.058825401252977073066820164227 y[1] (numeric) = 16.05882540125297707306682016424 absolute error = 1.3e-29 relative error = 8.0952371516447805359382225223286e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.274 y[1] (analytic) = 16.061051781480325833583706186147 y[1] (numeric) = 16.06105178148032583358370618616 absolute error = 1.3e-29 relative error = 8.0941149912672825265264095472884e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.275 y[1] (analytic) = 16.063278470370904492768686343178 y[1] (numeric) = 16.063278470370904492768686343192 absolute error = 1.4e-29 relative error = 8.7155309084775749660014028867764e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.276 y[1] (analytic) = 16.06550546796750582623176141653 y[1] (numeric) = 16.065505467967505826231761416544 absolute error = 1.4e-29 relative error = 8.7143227630865081174635002766007e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.277 y[1] (analytic) = 16.067732774312928542332502031071 y[1] (numeric) = 16.067732774312928542332502031084 absolute error = 1.3e-29 relative error = 8.0907494433706078992018300715636e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.278 y[1] (analytic) = 16.069960389449977283002559393571 y[1] (numeric) = 16.069960389449977283002559393584 absolute error = 1.3e-29 relative error = 8.0896279050784567067529384441976e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.279 y[1] (analytic) = 16.072188313421462624568290063052 y[1] (numeric) = 16.072188313421462624568290063065 absolute error = 1.3e-29 relative error = 8.0885065222537501021559367170026e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.28 y[1] (analytic) = 16.074416546270201078573494769049 y[1] (numeric) = 16.074416546270201078573494769061 absolute error = 1.2e-29 relative error = 7.4652787337307112754407893983651e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.281 y[1] (analytic) = 16.07664508803901509260227129359 y[1] (numeric) = 16.076645088039015092602271293602 absolute error = 1.2e-29 relative error = 7.4642438980804339961498348539068e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.282 y[1] (analytic) = 16.078873938770733051101981432725 y[1] (numeric) = 16.078873938770733051101981432737 absolute error = 1.2e-29 relative error = 7.4632092058788960447250297079477e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.283 y[1] (analytic) = 16.081103098508189276206332053402 y[1] (numeric) = 16.081103098508189276206332053413 absolute error = 1.1e-29 relative error = 6.8403267690140281998607433532840e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.284 y[1] (analytic) = 16.083332567294224028558570261513 y[1] (numeric) = 16.083332567294224028558570261524 absolute error = 1.1e-29 relative error = 6.8393785640972930635809170467551e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.285 y[1] (analytic) = 16.085562345171683508134792696941 y[1] (numeric) = 16.085562345171683508134792696953 absolute error = 1.2e-29 relative error = 7.4601059897678835444294359757760e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.286 y[1] (analytic) = 16.087792432183419855067368971417 y[1] (numeric) = 16.087792432183419855067368971428 absolute error = 1.1e-29 relative error = 6.8374825485656085658972673804372e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=412.0MB, alloc=4.4MB, time=20.64 TOP MAIN SOLVE Loop x[1] = 4.287 y[1] (analytic) = 16.09002282837229115046847926501 y[1] (numeric) = 16.090022828372291150468479265021 absolute error = 1.1e-29 relative error = 6.8365347379142213493697469080592e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.288 y[1] (analytic) = 16.092253533781161417253766097098 y[1] (numeric) = 16.092253533781161417253766097109 absolute error = 1.1e-29 relative error = 6.8355870586481831267519393559249e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.289 y[1] (analytic) = 16.094484548452900620966100287623 y[1] (numeric) = 16.094484548452900620966100287633 absolute error = 1.0e-29 relative error = 6.2133086461357102578462208325678e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.29 y[1] (analytic) = 16.096715872430384670599461124474 y[1] (numeric) = 16.096715872430384670599461124484 absolute error = 1.0e-29 relative error = 6.2124473583630052092935672327937e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.291 y[1] (analytic) = 16.098947505756495419422930752836 y[1] (numeric) = 16.098947505756495419422930752846 absolute error = 1.0e-29 relative error = 6.2115861899818626372946848364895e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.292 y[1] (analytic) = 16.10117944847412066580480280233 y[1] (numeric) = 16.10117944847412066580480280234 absolute error = 1.0e-29 relative error = 6.2107251409757325040546283065286e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.293 y[1] (analytic) = 16.103411700626154154036805267785 y[1] (numeric) = 16.103411700626154154036805267796 absolute error = 1.1e-29 relative error = 6.8308506324608737725360201377780e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.294 y[1] (analytic) = 16.105644262255495575158437659491 y[1] (numeric) = 16.105644262255495575158437659502 absolute error = 1.1e-29 relative error = 6.8299037411245529604871274680989e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.295 y[1] (analytic) = 16.107877133405050567781422438757 y[1] (numeric) = 16.107877133405050567781422438767 absolute error = 1.0e-29 relative error = 6.2081427100419507694806681780271e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.296 y[1] (analytic) = 16.110110314117730718914270754637 y[1] (numeric) = 16.110110314117730718914270754648 absolute error = 1.1e-29 relative error = 6.8280103522074574810065781011029e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.297 y[1] (analytic) = 16.112343804436453564786962497666 y[1] (numeric) = 16.112343804436453564786962497677 absolute error = 1.1e-29 relative error = 6.8270638545902954370471329457211e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.298 y[1] (analytic) = 16.114577604404142591675740686439 y[1] (numeric) = 16.11457760440414259167574068645 absolute error = 1.1e-29 relative error = 6.8261174881764698092079922139608e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.299 y[1] (analytic) = 16.116811714063727236728020202908 y[1] (numeric) = 16.116811714063727236728020202918 absolute error = 1.0e-29 relative error = 6.2047011390434483760257175620223e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.3 y[1] (analytic) = 16.119046133458142888787410892232 y[1] (numeric) = 16.119046133458142888787410892242 absolute error = 1.0e-29 relative error = 6.2038410444418916250719736934844e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.301 y[1] (analytic) = 16.12128086263033088921885504305 y[1] (numeric) = 16.12128086263033088921885504306 absolute error = 1.0e-29 relative error = 6.2029810690665001719221079629377e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.302 y[1] (analytic) = 16.123515901623238532733879264016 y[1] (numeric) = 16.123515901623238532733879264027 absolute error = 1.1e-29 relative error = 6.8223333341908215967205177859066e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.303 y[1] (analytic) = 16.125751250479819068215960772478 y[1] (numeric) = 16.125751250479819068215960772488 absolute error = 1.0e-29 relative error = 6.2012614759281070081529778057109e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.304 y[1] (analytic) = 16.127986909243031699546008111139 y[1] (numeric) = 16.127986909243031699546008111149 absolute error = 1.0e-29 relative error = 6.2004018581320579492386255435402e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.305 y[1] (analytic) = 16.130222877955841586427956308589 y[1] (numeric) = 16.130222877955841586427956308599 absolute error = 1.0e-29 relative error = 6.1995423594960794909028678237477e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.306 y[1] (analytic) = 16.132459156661219845214476499555 y[1] (numeric) = 16.132459156661219845214476499565 absolute error = 1.0e-29 relative error = 6.1986829800036536847146736506981e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.307 y[1] (analytic) = 16.134695745402143549732800020746 y[1] (numeric) = 16.134695745402143549732800020756 absolute error = 1.0e-29 relative error = 6.1978237196382648719581741216068e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.308 y[1] (analytic) = 16.136932644221595732110656998164 y[1] (numeric) = 16.136932644221595732110656998174 absolute error = 1.0e-29 relative error = 6.1969645783833996833152625057555e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.309 y[1] (analytic) = 16.139169853162565383602329441749 y[1] (numeric) = 16.139169853162565383602329441759 absolute error = 1.0e-29 relative error = 6.1961055562225470385482383216322e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 1.551e+16 Order of pole = 3.607e+29 TOP MAIN SOLVE Loop x[1] = 4.31 y[1] (analytic) = 16.141407372268047455414818863242 y[1] (numeric) = 16.141407372268047455414818863252 absolute error = 1.0e-29 relative error = 6.1952466531391981461824954058917e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.311 y[1] (analytic) = 16.143645201581042859534128433133 y[1] (numeric) = 16.143645201581042859534128433143 absolute error = 1.0e-29 relative error = 6.1943878691168465031892539680434e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.312 y[1] (analytic) = 16.145883341144558469551659692582 y[1] (numeric) = 16.145883341144558469551659692592 absolute error = 1.0e-29 relative error = 6.1935292041389878946683366247657e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.313 y[1] (analytic) = 16.148121791001607121490723836188 y[1] (numeric) = 16.148121791001607121490723836199 absolute error = 1.1e-29 relative error = 6.8119377240080324328840872485286e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.314 y[1] (analytic) = 16.150360551195207614633167581501 y[1] (numeric) = 16.150360551195207614633167581511 absolute error = 1.0e-29 relative error = 6.1918122312507443601827407389969e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.315 y[1] (analytic) = 16.152599621768384712346113641141 y[1] (numeric) = 16.152599621768384712346113641151 absolute error = 1.0e-29 relative error = 6.1909539233073624422063193674101e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.316 y[1] (analytic) = 16.154839002764169142908815813445 y[1] (numeric) = 16.154839002764169142908815813456 absolute error = 1.1e-29 relative error = 6.8091053077767275314490558867660e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.4MB, time=20.86 x[1] = 4.317 y[1] (analytic) = 16.157078694225597600339628707505 y[1] (numeric) = 16.157078694225597600339628707516 absolute error = 1.1e-29 relative error = 6.8081614307735632743519439910106e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.318 y[1] (analytic) = 16.159318696195712745223092118494 y[1] (numeric) = 16.159318696195712745223092118504 absolute error = 1.0e-29 relative error = 6.1883797132822421573354827958615e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.319 y[1] (analytic) = 16.161559008717563205537130069192 y[1] (numeric) = 16.161559008717563205537130069201 absolute error = 9e-30 relative error = 5.5687696930385180182095747709853e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.32 y[1] (analytic) = 16.16379963183420357748036453359 y[1] (numeric) = 16.1637996318342035774803645336 absolute error = 1.0e-29 relative error = 6.1866641679381173107562409486794e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.321 y[1] (analytic) = 16.166040565588694426299543858486 y[1] (numeric) = 16.166040565588694426299543858497 absolute error = 1.1e-29 relative error = 6.8043872309802220988512134373927e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 4.322 y[1] (analytic) = 16.168281810024102287117085898959 y[1] (numeric) = 16.168281810024102287117085898969 absolute error = 1.0e-29 relative error = 6.1849490981782268044863541919691e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.323 y[1] (analytic) = 16.170523365183499665758735883636 y[1] (numeric) = 16.170523365183499665758735883646 absolute error = 1.0e-29 relative error = 6.1840917416011674791204154010956e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.324 y[1] (analytic) = 16.172765231109965039581339025661 y[1] (numeric) = 16.172765231109965039581339025672 absolute error = 1.1e-29 relative error = 6.8015579542578018648507561166719e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.325 y[1] (analytic) = 16.175007407846582858300727895266 y[1] (numeric) = 16.175007407846582858300727895277 absolute error = 1.1e-29 relative error = 6.8006151234674804505065870760597e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.326 y[1] (analytic) = 16.177249895436443544819724569851 y[1] (numeric) = 16.177249895436443544819724569862 absolute error = 1.1e-29 relative error = 6.7996724233722005481779392274943e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.327 y[1] (analytic) = 16.179492693922643496056257577503 y[1] (numeric) = 16.179492693922643496056257577513 absolute error = 1.0e-29 relative error = 6.1806635035944047579598817692054e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.328 y[1] (analytic) = 16.181735803348285083771593649845 y[1] (numeric) = 16.181735803348285083771593649856 absolute error = 1.1e-29 relative error = 6.7977874151943000944963313419326e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.329 y[1] (analytic) = 16.18397922375647665539868430016 y[1] (numeric) = 16.183979223756476655398684300171 absolute error = 1.1e-29 relative error = 6.7968451070754532286720452912284e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.33 y[1] (analytic) = 16.186222955190332534870627242678 y[1] (numeric) = 16.186222955190332534870627242689 absolute error = 1.1e-29 relative error = 6.7959029295791952452244267252038e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.331 y[1] (analytic) = 16.188466997692973023449242668975 y[1] (numeric) = 16.188466997692973023449242668986 absolute error = 1.1e-29 relative error = 6.7949608826874192634155551687933e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.332 y[1] (analytic) = 16.19071135130752440055376439739 y[1] (numeric) = 16.190711351307524400553764397402 absolute error = 1.2e-29 relative error = 7.4116570542349319045238485707545e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.333 y[1] (analytic) = 16.192956016077118924589645911399 y[1] (numeric) = 16.192956016077118924589645911411 absolute error = 1.2e-29 relative error = 7.4106296516126163613940302748994e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 4.334 y[1] (analytic) = 16.195200992044894833777481302855 y[1] (numeric) = 16.195200992044894833777481302867 absolute error = 1.2e-29 relative error = 7.4096023914086750923035706882859e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.335 y[1] (analytic) = 16.197446279253996346982041136051 y[1] (numeric) = 16.197446279253996346982041136063 absolute error = 1.2e-29 relative error = 7.4085752736033660867783804231408e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.336 y[1] (analytic) = 16.199691877747573664541423248512 y[1] (numeric) = 16.199691877747573664541423248524 absolute error = 1.2e-29 relative error = 7.4075482981769500709784564288219e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.337 y[1] (analytic) = 16.201937787568782969096318504472 y[1] (numeric) = 16.201937787568782969096318504484 absolute error = 1.2e-29 relative error = 7.4065214651096905073185302468485e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.338 y[1] (analytic) = 16.204184008760786426419391516954 y[1] (numeric) = 16.204184008760786426419391516966 absolute error = 1.2e-29 relative error = 7.4054947743818535940887688516105e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.339 y[1] (analytic) = 16.206430541366752186244776354412 y[1] (numeric) = 16.206430541366752186244776354424 absolute error = 1.2e-29 relative error = 7.4044682259737082650755280694566e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.34 y[1] (analytic) = 16.208677385429854383097687247857 y[1] (numeric) = 16.208677385429854383097687247869 absolute error = 1.2e-29 relative error = 7.4034418198655261891821585688823e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.341 y[1] (analytic) = 16.210924540993273137124144314427 y[1] (numeric) = 16.210924540993273137124144314439 absolute error = 1.2e-29 relative error = 7.4024155560375817700498644145228e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.342 y[1] (analytic) = 16.213172008100194554920814313336 y[1] (numeric) = 16.213172008100194554920814313347 absolute error = 1.1e-29 relative error = 6.7846069815976394668720629961967e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.343 y[1] (analytic) = 16.215419786793810730364966450149 y[1] (numeric) = 16.21541978679381073036496645016 absolute error = 1.1e-29 relative error = 6.7836665005482240890440958796879e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.344 y[1] (analytic) = 16.217667877117319745444543245349 y[1] (numeric) = 16.21766787711731974544454324536 absolute error = 1.1e-29 relative error = 6.7827261498681295441772120441158e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.345 y[1] (analytic) = 16.219916279113925671088346483127 y[1] (numeric) = 16.219916279113925671088346483137 absolute error = 1.0e-29 relative error = 6.1652599359448036904607374384153e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.346 y[1] (analytic) = 16.22216499282683856799633825636 y[1] (numeric) = 16.22216499282683856799633825637 absolute error = 1.0e-29 relative error = 6.1644053086760166976130146888926e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 4.347 y[1] (analytic) = 16.224414018299274487470057123742 y[1] (numeric) = 16.224414018299274487470057123752 absolute error = 1.0e-29 relative error = 6.1635507998755142771635596731487e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=419.6MB, alloc=4.4MB, time=21.07 TOP MAIN SOLVE Loop x[1] = 4.348 y[1] (analytic) = 16.226663355574455472243149395009 y[1] (numeric) = 16.226663355574455472243149395019 absolute error = 1.0e-29 relative error = 6.1626964095268743759412317074032e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.349 y[1] (analytic) = 16.228913004695609557312015560234 y[1] (numeric) = 16.228913004695609557312015560244 absolute error = 1.0e-29 relative error = 6.1618421376136772171970678170729e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.35 y[1] (analytic) = 16.231162965705970770766571879148 y[1] (numeric) = 16.231162965705970770766571879158 absolute error = 1.0e-29 relative error = 6.1609879841195053002887254871907e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.351 y[1] (analytic) = 16.233413238648779134621127146456 y[1] (numeric) = 16.233413238648779134621127146466 absolute error = 1.0e-29 relative error = 6.1601339490279434003649691553157e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.352 y[1] (analytic) = 16.235663823567280665645374649116 y[1] (numeric) = 16.235663823567280665645374649125 absolute error = 9e-30 relative error = 5.5433520290903207112451803967831e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.353 y[1] (analytic) = 16.237914720504727376195499331543 y[1] (numeric) = 16.237914720504727376195499331552 absolute error = 9e-30 relative error = 5.5425836105883001162161288943603e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.354 y[1] (analytic) = 16.240165929504377275045400184729 y[1] (numeric) = 16.240165929504377275045400184738 absolute error = 9e-30 relative error = 5.5418152986043197158078151604224e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.355 y[1] (analytic) = 16.242417450609494368218027875233 y[1] (numeric) = 16.242417450609494368218027875241 absolute error = 8e-30 relative error = 4.9253751938876568868118025137030e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.356 y[1] (analytic) = 16.244669283863348659816837630025 y[1] (numeric) = 16.244669283863348659816837630033 absolute error = 8e-30 relative error = 4.9246924392279284410829611891694e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.357 y[1] (analytic) = 16.246921429309216152857357393173 y[1] (numeric) = 16.246921429309216152857357393182 absolute error = 9e-30 relative error = 5.5395110016129747924178398776215e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.358 y[1] (analytic) = 16.24917388699037885009887127034 y[1] (numeric) = 16.249173886990378850098871270349 absolute error = 9e-30 relative error = 5.5387431155535205134320306499140e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.359 y[1] (analytic) = 16.251426656950124754876218277077 y[1] (numeric) = 16.251426656950124754876218277086 absolute error = 9e-30 relative error = 5.5379753359382993323728464655171e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.36 y[1] (analytic) = 16.253679739231747871931706406907 y[1] (numeric) = 16.253679739231747871931706406916 absolute error = 9e-30 relative error = 5.5372076627525559680103376558135e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.361 y[1] (analytic) = 16.25593313387854820824714203518 y[1] (numeric) = 16.255933133878548208247142035189 absolute error = 9e-30 relative error = 5.5364400959815371844890932987642e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.362 y[1] (analytic) = 16.258186840933831773875974674688 y[1] (numeric) = 16.258186840933831773875974674696 absolute error = 8e-30 relative error = 4.9205978983204371475952993361635e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.363 y[1] (analytic) = 16.260440860440910582775557099033 y[1] (numeric) = 16.260440860440910582775557099041 absolute error = 8e-30 relative error = 4.9199158058885961259736093296201e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.364 y[1] (analytic) = 16.262695192443102653639520849751 y[1] (numeric) = 16.26269519244310265363952084976 absolute error = 9e-30 relative error = 5.5341380340093266350830752558018e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.365 y[1] (analytic) = 16.264949836983732010730267143179 y[1] (numeric) = 16.264949836983732010730267143188 absolute error = 9e-30 relative error = 5.5333708927497147139408484409623e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.366 y[1] (analytic) = 16.267204794106128684711573193062 y[1] (numeric) = 16.26720479410612868471157319307 absolute error = 8e-30 relative error = 4.9178700958498594356077838672685e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.367 y[1] (analytic) = 16.26946006385362871348131396491 y[1] (numeric) = 16.269460063853628713481313964918 absolute error = 8e-30 relative error = 4.9171883815455263278896699286046e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.368 y[1] (analytic) = 16.271715646269574143004299378107 y[1] (numeric) = 16.271715646269574143004299378115 absolute error = 8e-30 relative error = 4.9165067617403124881972886555264e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.369 y[1] (analytic) = 16.273971541397313028145226971772 y[1] (numeric) = 16.27397154139731302814522697178 absolute error = 8e-30 relative error = 4.9158252364211184649192080780664e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.37 y[1] (analytic) = 16.276227749280199433501750050378 y[1] (numeric) = 16.276227749280199433501750050387 absolute error = 9e-30 relative error = 5.5295367812717024500736837530458e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.371 y[1] (analytic) = 16.278484269961593434237661325155 y[1] (numeric) = 16.278484269961593434237661325164 absolute error = 9e-30 relative error = 5.5287702778369512826430128273833e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.372 y[1] (analytic) = 16.280741103484861116916192067266 y[1] (numeric) = 16.280741103484861116916192067274 absolute error = 8e-30 relative error = 4.9137812272486880136020540304948e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.373 y[1] (analytic) = 16.282998249893374580333426788786 y[1] (numeric) = 16.282998249893374580333426788795 absolute error = 9e-30 relative error = 5.5272375897104419345865700421153e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.374 y[1] (analytic) = 16.285255709230511936351833467506 y[1] (numeric) = 16.285255709230511936351833467515 absolute error = 9e-30 relative error = 5.5264714049892283687225027724672e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.375 y[1] (analytic) = 16.287513481539657310733909331556 y[1] (numeric) = 16.287513481539657310733909331565 absolute error = 9e-30 relative error = 5.5257053264764086873455219463893e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.376 y[1] (analytic) = 16.289771566864200843975942219898 y[1] (numeric) = 16.289771566864200843975942219907 absolute error = 9e-30 relative error = 5.5249393541572603012167616123230e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.377 y[1] (analytic) = 16.292029965247538692141887534688 y[1] (numeric) = 16.292029965247538692141887534698 absolute error = 1.0e-29 relative error = 6.1379705422411807354890404453031e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=423.4MB, alloc=4.4MB, time=21.29 x[1] = 4.378 y[1] (analytic) = 16.294288676733073027697360801553 y[1] (numeric) = 16.294288676733073027697360801562 absolute error = 9e-30 relative error = 5.5234077280410972616794402501138e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.379 y[1] (analytic) = 16.296547701364212040343745853786 y[1] (numeric) = 16.296547701364212040343745853795 absolute error = 9e-30 relative error = 5.5226420742146476328754843481309e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.38 y[1] (analytic) = 16.298807039184369937852418656523 y[1] (numeric) = 16.298807039184369937852418656532 absolute error = 9e-30 relative error = 5.5218765265229993479632742838401e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.381 y[1] (analytic) = 16.301066690236966946899086786897 y[1] (numeric) = 16.301066690236966946899086786906 absolute error = 9e-30 relative error = 5.5211110849514400190892264041712e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.382 y[1] (analytic) = 16.303326654565429313898244586232 y[1] (numeric) = 16.303326654565429313898244586241 absolute error = 9e-30 relative error = 5.5203457494852592978284233700663e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.383 y[1] (analytic) = 16.305586932213189305837744000297 y[1] (numeric) = 16.305586932213189305837744000306 absolute error = 9e-30 relative error = 5.5195805201097488749019089065660e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.384 y[1] (analytic) = 16.30784752322368521111348112367 y[1] (numeric) = 16.307847523223685211113481123679 absolute error = 9e-30 relative error = 5.5188153968102024798940217414476e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.385 y[1] (analytic) = 16.310108427640361340364198464242 y[1] (numeric) = 16.310108427640361340364198464252 absolute error = 1.0e-29 relative error = 6.1311670884132398677441874744282e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.386 y[1] (analytic) = 16.312369645506668027306402943919 y[1] (numeric) = 16.312369645506668027306402943929 absolute error = 1.0e-29 relative error = 6.1303171870890965384358190437743e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.387 y[1] (analytic) = 16.314631176866061629569399651546 y[1] (numeric) = 16.314631176866061629569399651556 absolute error = 1.0e-29 relative error = 6.1294674035781281502667179450585e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.388 y[1] (analytic) = 16.316893021762004529530441364126 y[1] (numeric) = 16.316893021762004529530441364136 absolute error = 1.0e-29 relative error = 6.1286177378640034612498194072321e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.389 y[1] (analytic) = 16.319155180237965135149993852365 y[1] (numeric) = 16.319155180237965135149993852375 absolute error = 1.0e-29 relative error = 6.1277681899303934932320056971584e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.39 y[1] (analytic) = 16.321417652337417880807116986602 y[1] (numeric) = 16.321417652337417880807116986611 absolute error = 9e-30 relative error = 5.5142268837848743784222644635555e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.391 y[1] (analytic) = 16.323680438103843228134961659179 y[1] (numeric) = 16.323680438103843228134961659189 absolute error = 1.0e-29 relative error = 6.1260694473394131248680668905796e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.392 y[1] (analytic) = 16.325943537580727666856382539312 y[1] (numeric) = 16.325943537580727666856382539322 absolute error = 1.0e-29 relative error = 6.1252202526493960845613485733871e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.393 y[1] (analytic) = 16.328206950811563715619666676505 y[1] (numeric) = 16.328206950811563715619666676515 absolute error = 1.0e-29 relative error = 6.1243711756746004847051215790340e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.394 y[1] (analytic) = 16.330470677839849922834377968594 y[1] (numeric) = 16.330470677839849922834377968603 absolute error = 9e-30 relative error = 5.5111699947588377954487202955638e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.395 y[1] (analytic) = 16.332734718709090867507317510456 y[1] (numeric) = 16.332734718709090867507317510466 absolute error = 1.0e-29 relative error = 6.1226733748054052135370805970012e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.396 y[1] (analytic) = 16.334999073462797160078599839481 y[1] (numeric) = 16.334999073462797160078599839491 absolute error = 1.0e-29 relative error = 6.1218246508783770003874992680216e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.397 y[1] (analytic) = 16.337263742144485443257845093835 y[1] (numeric) = 16.337263742144485443257845093844 absolute error = 9e-30 relative error = 5.5088784401411818290472337948844e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.398 y[1] (analytic) = 16.339528724797678392860487099622 y[1] (numeric) = 16.339528724797678392860487099631 absolute error = 9e-30 relative error = 5.5081148003621145222912908868785e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.399 y[1] (analytic) = 16.341794021465904718644197402997 y[1] (numeric) = 16.341794021465904718644197403007 absolute error = 1.0e-29 relative error = 6.1192791849318462874682095803092e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.4 y[1] (analytic) = 16.344059632192699165145425263308 y[1] (numeric) = 16.344059632192699165145425263317 absolute error = 9e-30 relative error = 5.5065878383561495513239582398584e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.401 y[1] (analytic) = 16.346325557021602512516053623336 y[1] (numeric) = 16.346325557021602512516053623346 absolute error = 1.0e-29 relative error = 6.1175827956665628301659928062267e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.402 y[1] (analytic) = 16.348591795996161577360171072741 y[1] (numeric) = 16.34859179599616157736017107275 absolute error = 9e-30 relative error = 5.5050612996552630270300892171026e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.403 y[1] (analytic) = 16.350858349159929213570959820749 y[1] (numeric) = 16.350858349159929213570959820758 absolute error = 9e-30 relative error = 5.5042981890075514052985184934128e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.404 y[1] (analytic) = 16.353125216556464313167699694208 y[1] (numeric) = 16.353125216556464313167699694217 absolute error = 9e-30 relative error = 5.5035351841421061295053495449752e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.405 y[1] (analytic) = 16.355392398229331807132888177072 y[1] (numeric) = 16.355392398229331807132888177081 absolute error = 9e-30 relative error = 5.5027722850442636801376012181599e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.406 y[1] (analytic) = 16.357659894222102666249476507409 y[1] (numeric) = 16.357659894222102666249476507417 absolute error = 8e-30 relative error = 4.8906751037327667291883002035804e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.407 y[1] (analytic) = 16.359927704578353901938221848018 y[1] (numeric) = 16.359927704578353901938221848026 absolute error = 8e-30 relative error = 4.8899971591935496405488021696853e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.408 y[1] (analytic) = 16.362195829341668567095155546763 y[1] (numeric) = 16.362195829341668567095155546771 absolute error = 8e-30 relative error = 4.8893193086308876298530584002497e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=427.2MB, alloc=4.4MB, time=21.49 TOP MAIN SOLVE Loop x[1] = 4.409 y[1] (analytic) = 16.364464268555635756929167502696 y[1] (numeric) = 16.364464268555635756929167502705 absolute error = 9e-30 relative error = 5.4997217460357228936534617258203e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.41 y[1] (analytic) = 16.366733022263850609799706654085 y[1] (numeric) = 16.366733022263850609799706654094 absolute error = 9e-30 relative error = 5.4989593755560129167661895447471e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.411 y[1] (analytic) = 16.36900209050991430805459760443 y[1] (numeric) = 16.36900209050991430805459760444 absolute error = 1.0e-29 relative error = 6.1091079008399636945682810794576e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.412 y[1] (analytic) = 16.371271473337434078867973402588 y[1] (numeric) = 16.371271473337434078867973402598 absolute error = 1.0e-29 relative error = 6.1082610573565964687137384701477e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.413 y[1] (analytic) = 16.373541170790023195078324493086 y[1] (numeric) = 16.373541170790023195078324493096 absolute error = 1.0e-29 relative error = 6.1074143312625268231055988509708e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.414 y[1] (analytic) = 16.375811182911300976026663852749 y[1] (numeric) = 16.37581118291130097602666385276 absolute error = 1.1e-29 relative error = 6.7172244947956305009197881406767e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.415 y[1] (analytic) = 16.378081509744892788394808329745 y[1] (numeric) = 16.378081509744892788394808329756 absolute error = 1.1e-29 relative error = 6.7162933542949118507553852457745e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.416 y[1] (analytic) = 16.380352151334430047043776201142 y[1] (numeric) = 16.380352151334430047043776201153 absolute error = 1.1e-29 relative error = 6.7153623428687287844962282499288e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 4.417 y[1] (analytic) = 16.382623107723550215852300965119 y[1] (numeric) = 16.382623107723550215852300965129 absolute error = 1.0e-29 relative error = 6.1040286004538081929868954359456e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.418 y[1] (analytic) = 16.384894378955896808555461383912 y[1] (numeric) = 16.384894378955896808555461383922 absolute error = 1.0e-29 relative error = 6.1031824610621842949935060952652e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.419 y[1] (analytic) = 16.387165965075119389583427793645 y[1] (numeric) = 16.387165965075119389583427793655 absolute error = 1.0e-29 relative error = 6.1023364389622569012452451098889e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.42 y[1] (analytic) = 16.389437866124873574900324697138 y[1] (numeric) = 16.389437866124873574900324697147 absolute error = 9e-30 relative error = 5.4913414807239903513054114446573e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.421 y[1] (analytic) = 16.391710082148821032843209655824 y[1] (numeric) = 16.391710082148821032843209655833 absolute error = 9e-30 relative error = 5.4905802719152122552178889369356e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.422 y[1] (analytic) = 16.393982613190629484961168496908 y[1] (numeric) = 16.393982613190629484961168496917 absolute error = 9e-30 relative error = 5.4898191686250679201787837759437e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.423 y[1] (analytic) = 16.396255459293972706854526851876 y[1] (numeric) = 16.396255459293972706854526851885 absolute error = 9e-30 relative error = 5.4890581708389303713785545106082e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.424 y[1] (analytic) = 16.398528620502530529014178042494 y[1] (numeric) = 16.398528620502530529014178042503 absolute error = 9e-30 relative error = 5.4882972785421746615963845728534e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.425 y[1] (analytic) = 16.400802096859988837661027330424 y[1] (numeric) = 16.400802096859988837661027330433 absolute error = 9e-30 relative error = 5.4875364917201778709191182783253e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.426 y[1] (analytic) = 16.403075888410039575585552546589 y[1] (numeric) = 16.403075888410039575585552546598 absolute error = 9e-30 relative error = 5.4867758103583191064602357881595e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.427 y[1] (analytic) = 16.405349995196380742987481116423 y[1] (numeric) = 16.405349995196380742987481116433 absolute error = 1.0e-29 relative error = 6.0955724827133105578654078071013e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.428 y[1] (analytic) = 16.407624417262716398315583497145 y[1] (numeric) = 16.407624417262716398315583497154 absolute error = 9e-30 relative error = 5.4852547639565422180988445476059e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.429 y[1] (analytic) = 16.409899154652756659107583043184 y[1] (numeric) = 16.409899154652756659107583043193 absolute error = 9e-30 relative error = 5.4844943988873924410277953494372e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.43 y[1] (analytic) = 16.41217420741021770283018231592 y[1] (numeric) = 16.41217420741021770283018231593 absolute error = 1.0e-29 relative error = 6.0930379324665748703069684716714e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.431 y[1] (analytic) = 16.414449575578821767719205853862 y[1] (numeric) = 16.414449575578821767719205853872 absolute error = 1.0e-29 relative error = 6.0921933165994514254188004959984e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.432 y[1] (analytic) = 16.416725259202297153619859419417 y[1] (numeric) = 16.416725259202297153619859419427 absolute error = 1.0e-29 relative error = 6.0913488178128337813374359825788e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.433 y[1] (analytic) = 16.419001258324378222827105738406 y[1] (numeric) = 16.419001258324378222827105738415 absolute error = 9e-30 relative error = 5.4814539924814430326910890409697e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.434 y[1] (analytic) = 16.42127757298880540092615674846 y[1] (numeric) = 16.421277572988805400926156748469 absolute error = 9e-30 relative error = 5.4806941542745794845534495082900e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.435 y[1] (analytic) = 16.423554203239325177633082372475 y[1] (numeric) = 16.423554203239325177633082372483 absolute error = 8e-30 relative error = 4.8710528190189840857815784317167e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.436 y[1] (analytic) = 16.425831149119690107635535833244 y[1] (numeric) = 16.425831149119690107635535833253 absolute error = 9e-30 relative error = 5.4791747938321752304755968052801e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.437 y[1] (analytic) = 16.428108410673658811433595525468 y[1] (numeric) = 16.428108410673658811433595525477 absolute error = 9e-30 relative error = 5.4784152715674352723373721089116e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.438 y[1] (analytic) = 16.43038598794499597618072346126 y[1] (numeric) = 16.430385987944995976180723461269 absolute error = 9e-30 relative error = 5.4776558545875406316169334213313e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.439 y[1] (analytic) = 16.432663880977472356524840305337 y[1] (numeric) = 16.432663880977472356524840305346 memory used=431.0MB, alloc=4.4MB, time=21.70 absolute error = 9e-30 relative error = 5.4768965428778967412184658643534e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.44 y[1] (analytic) = 16.434942089814864775449517016053 y[1] (numeric) = 16.434942089814864775449517016061 absolute error = 8e-30 relative error = 4.8676776323768098285711357835384e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.441 y[1] (analytic) = 16.43722061450095612511528310843 y[1] (numeric) = 16.437220614500956125115283108439 absolute error = 9e-30 relative error = 5.4753782352109930582056093426462e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.442 y[1] (analytic) = 16.439499455079535367701051555377 y[1] (numeric) = 16.439499455079535367701051555385 absolute error = 8e-30 relative error = 4.8663282126440482184530936877074e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.443 y[1] (analytic) = 16.441778611594397536245660343235 y[1] (numeric) = 16.441778611594397536245660343243 absolute error = 8e-30 relative error = 4.8656536430666739052551792933871e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.444 y[1] (analytic) = 16.444058084089343735489530697861 y[1] (numeric) = 16.444058084089343735489530697869 absolute error = 8e-30 relative error = 4.8649791669980180415508225642114e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.445 y[1] (analytic) = 16.446337872608181142716441997389 y[1] (numeric) = 16.446337872608181142716441997398 absolute error = 9e-30 relative error = 5.4723428824782582730341090993376e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.446 y[1] (analytic) = 16.448617977194723008595423387874 y[1] (numeric) = 16.448617977194723008595423387883 absolute error = 9e-30 relative error = 5.4715843072518916609712690986661e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.447 y[1] (analytic) = 16.450898397892788658022762117973 y[1] (numeric) = 16.450898397892788658022762117982 absolute error = 9e-30 relative error = 5.4708258371790920703811471179503e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.448 y[1] (analytic) = 16.453179134746203490964128608869 y[1] (numeric) = 16.453179134746203490964128608878 absolute error = 9e-30 relative error = 5.4700674722452831319426661174812e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.449 y[1] (analytic) = 16.455460187798798983296818275608 y[1] (numeric) = 16.455460187798798983296818275617 absolute error = 9e-30 relative error = 5.4693092124358904969085498592728e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.45 y[1] (analytic) = 16.457741557094412687652110116034 y[1] (numeric) = 16.457741557094412687652110116043 absolute error = 9e-30 relative error = 5.4685510577363418368252313153538e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.451 y[1] (analytic) = 16.460023242676888234257742083521 y[1] (numeric) = 16.46002324267688823425774208353 absolute error = 9e-30 relative error = 5.4677930081320668432527999023055e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.452 y[1] (analytic) = 16.462305244590075331780503259682 y[1] (numeric) = 16.46230524459007533178050325969 absolute error = 8e-30 relative error = 4.8595867232075530910977666992590e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.453 y[1] (analytic) = 16.464587562877829768168942843252 y[1] (numeric) = 16.46458756287782976816894284326 absolute error = 8e-30 relative error = 4.8589130881342815291281720051759e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.454 y[1] (analytic) = 16.46687019758401341149619597135 y[1] (numeric) = 16.466870197584013411496195971358 absolute error = 8e-30 relative error = 4.8582395464401876191347094657779e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.455 y[1] (analytic) = 16.469153148752494210802926389296 y[1] (numeric) = 16.469153148752494210802926389304 absolute error = 8e-30 relative error = 4.8575660981123271556195691937618e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.456 y[1] (analytic) = 16.471436416427146196940385985203 y[1] (numeric) = 16.471436416427146196940385985211 absolute error = 8e-30 relative error = 4.8568927431377577274084744774871e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.457 y[1] (analytic) = 16.473720000651849483413591205537 y[1] (numeric) = 16.473720000651849483413591205544 absolute error = 7e-30 relative error = 4.2491920463155963777267088420435e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.458 y[1] (analytic) = 16.476003901470490267224616367847 y[1] (numeric) = 16.476003901470490267224616367854 absolute error = 7e-30 relative error = 4.2486030240471398895358120219652e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.459 y[1] (analytic) = 16.478288118926960829716003886881 y[1] (numeric) = 16.478288118926960829716003886888 absolute error = 7e-30 relative error = 4.2480140834288486459258015445629e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.46 y[1] (analytic) = 16.480572653065159537414291430288 y[1] (numeric) = 16.480572653065159537414291430295 absolute error = 7e-30 relative error = 4.2474252244494043150754759069855e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.461 y[1] (analytic) = 16.482857503928990842873656020117 y[1] (numeric) = 16.482857503928990842873656020124 absolute error = 7e-30 relative error = 4.2468364470974901341088382007454e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.462 y[1] (analytic) = 16.485142671562365285519675096331 y[1] (numeric) = 16.485142671562365285519675096339 absolute error = 8e-30 relative error = 4.8528545729849038958601247978372e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.463 y[1] (analytic) = 16.487428156009199492493204558557 y[1] (numeric) = 16.487428156009199492493204558565 absolute error = 8e-30 relative error = 4.8521818711211348728500235274003e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.464 y[1] (analytic) = 16.489713957313416179494373802266 y[1] (numeric) = 16.489713957313416179494373802274 absolute error = 8e-30 relative error = 4.8515092625071821615567295389703e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.465 y[1] (analytic) = 16.492000075518944151626697765634 y[1] (numeric) = 16.492000075518944151626697765643 absolute error = 9e-30 relative error = 5.4571913405213844245952423476867e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.466 y[1] (analytic) = 16.494286510669718304241306003289 y[1] (numeric) = 16.494286510669718304241306003297 absolute error = 8e-30 relative error = 4.8501643249770223721538052735932e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.467 y[1] (analytic) = 16.49657326280967962378128880316 y[1] (numeric) = 16.496573262809679623781288803168 absolute error = 8e-30 relative error = 4.8494919960349681224069015817836e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.468 y[1] (analytic) = 16.498860331982775188626160362684 y[1] (numeric) = 16.498860331982775188626160362692 absolute error = 8e-30 relative error = 4.8488197602910358406055242808844e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.469 y[1] (analytic) = 16.501147718232958169936439040566 y[1] (numeric) = 16.501147718232958169936439040574 absolute error = 8e-30 relative error = 4.8481476177323064191595509272305e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.4MB, time=21.91 x[1] = 4.47 y[1] (analytic) = 16.503435421604187832498344700346 y[1] (numeric) = 16.503435421604187832498344700354 absolute error = 8e-30 relative error = 4.8474755683458625413233246186825e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.471 y[1] (analytic) = 16.505723442140429535568613162001 y[1] (numeric) = 16.505723442140429535568613162009 absolute error = 8e-30 relative error = 4.8468036121187886809474074437413e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.472 y[1] (analytic) = 16.50801177988565473371942777781 y[1] (numeric) = 16.508011779885654733719427777819 absolute error = 9e-30 relative error = 5.4518982176679424900091643853781e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.473 y[1] (analytic) = 16.510300434883840977683468148736 y[1] (numeric) = 16.510300434883840977683468148745 absolute error = 9e-30 relative error = 5.4511424764774850919044310469495e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.474 y[1] (analytic) = 16.512589407178971915199075997544 y[1] (numeric) = 16.512589407178971915199075997553 absolute error = 9e-30 relative error = 5.4503868400477411464204776904023e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.475 y[1] (analytic) = 16.514878696815037291855538214918 y[1] (numeric) = 16.514878696815037291855538214926 absolute error = 8e-30 relative error = 4.8441167185459455480268201003118e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.476 y[1] (analytic) = 16.517168303836032951938487094807 y[1] (numeric) = 16.517168303836032951938487094816 absolute error = 9e-30 relative error = 5.4488758814123079782313242205466e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.477 y[1] (analytic) = 16.519458228285960839275417775262 y[1] (numeric) = 16.519458228285960839275417775271 absolute error = 9e-30 relative error = 5.4481205591775809702676358589345e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.478 y[1] (analytic) = 16.521748470208828998081322900989 y[1] (numeric) = 16.521748470208828998081322900997 absolute error = 8e-30 relative error = 4.8421025259071038611997327323608e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.479 y[1] (analytic) = 16.524039029648651573804444523896 y[1] (numeric) = 16.524039029648651573804444523905 absolute error = 9e-30 relative error = 5.4466102288015267373760270488795e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.48 y[1] (analytic) = 16.526329906649448813972143257879 y[1] (numeric) = 16.526329906649448813972143257888 absolute error = 9e-30 relative error = 5.4458552206311738011541229623522e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.481 y[1] (analytic) = 16.528621101255247069036884704085 y[1] (numeric) = 16.528621101255247069036884704094 absolute error = 9e-30 relative error = 5.4451003171199231971215920105639e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.482 y[1] (analytic) = 16.530912613510078793222343162943 y[1] (numeric) = 16.530912613510078793222343162952 absolute error = 9e-30 relative error = 5.4443455182532670985672883399068e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.483 y[1] (analytic) = 16.533204443457982545369622649194 y[1] (numeric) = 16.533204443457982545369622649203 absolute error = 9e-30 relative error = 5.4435908240166996898525021337293e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.484 y[1] (analytic) = 16.535496591143002989783595226202 y[1] (numeric) = 16.535496591143002989783595226211 absolute error = 9e-30 relative error = 5.4428362343957171661321850981701e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.485 y[1] (analytic) = 16.5377890566091908970793566758 y[1] (numeric) = 16.537789056609190897079356675808 absolute error = 8e-30 relative error = 4.8374059994451713182899685259283e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.486 y[1] (analytic) = 16.540081839900603145028799519942 y[1] (numeric) = 16.54008183990060314502879951995 absolute error = 8e-30 relative error = 4.8367354390600014280806190158195e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.487 y[1] (analytic) = 16.542374941061302719407303410436 y[1] (numeric) = 16.542374941061302719407303410444 absolute error = 8e-30 relative error = 4.8360649716277964555904943120380e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.488 y[1] (analytic) = 16.544668360135358714840542903018 y[1] (numeric) = 16.544668360135358714840542903026 absolute error = 8e-30 relative error = 4.8353945971356712768574837024127e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.489 y[1] (analytic) = 16.546962097166846335651412632051 y[1] (numeric) = 16.546962097166846335651412632059 absolute error = 8e-30 relative error = 4.8347243155707425540531373636337e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.49 y[1] (analytic) = 16.549256152199846896707069902122 y[1] (numeric) = 16.54925615219984689670706990213 absolute error = 8e-30 relative error = 4.8340541269201287352350728212941e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.491 y[1] (analytic) = 16.551550525278447824266094712812 y[1] (numeric) = 16.551550525278447824266094712821 absolute error = 9e-30 relative error = 5.4375570350673188108618426977225e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.492 y[1] (analytic) = 16.553845216446742656825767232933 y[1] (numeric) = 16.553845216446742656825767232941 absolute error = 8e-30 relative error = 4.8327140283103285297332749779458e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.493 y[1] (analytic) = 16.556140225748831045969462740489 y[1] (numeric) = 16.556140225748831045969462740497 absolute error = 8e-30 relative error = 4.8320441183253879663672520837205e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.494 y[1] (analytic) = 16.558435553228818757214164044681 y[1] (numeric) = 16.558435553228818757214164044689 absolute error = 8e-30 relative error = 4.8313743012032539531279849263895e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.495 y[1] (analytic) = 16.560731198930817670858091406211 y[1] (numeric) = 16.560731198930817670858091406219 absolute error = 8e-30 relative error = 4.8307045769310538637907257582947e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.496 y[1] (analytic) = 16.563027162898945782828449972198 y[1] (numeric) = 16.563027162898945782828449972206 absolute error = 8e-30 relative error = 4.8300349454959168565319535232968e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.497 y[1] (analytic) = 16.565323445177327205529294741985 y[1] (numeric) = 16.565323445177327205529294741993 absolute error = 8e-30 relative error = 4.8293654068849738736820204665490e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.498 y[1] (analytic) = 16.567620045810092168689513080136 y[1] (numeric) = 16.567620045810092168689513080144 absolute error = 8e-30 relative error = 4.8286959610853576414778330323540e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.499 y[1] (analytic) = 16.569916964841377020210924792921 y[1] (numeric) = 16.569916964841377020210924792929 absolute error = 8e-30 relative error = 4.8280266080842026698155670453526e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.5 y[1] (analytic) = 16.572214202315324227016499784586 y[1] (numeric) = 16.572214202315324227016499784594 absolute error = 8e-30 relative error = 4.8273573478686452520034171702903e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=438.7MB, alloc=4.4MB, time=22.12 TOP MAIN SOLVE Loop x[1] = 4.501 y[1] (analytic) = 16.574511758276082375898693309706 y[1] (numeric) = 16.574511758276082375898693309715 absolute error = 9e-30 relative error = 5.4300242029790513975786782263146e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.502 y[1] (analytic) = 16.576809632767806174367898837935 y[1] (numeric) = 16.576809632767806174367898837944 absolute error = 9e-30 relative error = 5.4292714939607368125814596969035e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.503 y[1] (analytic) = 16.579107825834656451501018547442 y[1] (numeric) = 16.579107825834656451501018547451 absolute error = 9e-30 relative error = 5.4285188892828165008309157187994e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.504 y[1] (analytic) = 16.581406337520800158790151463358 y[1] (numeric) = 16.581406337520800158790151463366 absolute error = 8e-30 relative error = 4.8246812346051793909973800654585e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.505 y[1] (analytic) = 16.583705167870410370991399257531 y[1] (numeric) = 16.583705167870410370991399257539 absolute error = 8e-30 relative error = 4.8240124381247165441761704118435e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.506 y[1] (analytic) = 16.586004316927666286973789725914 y[1] (numeric) = 16.586004316927666286973789725922 absolute error = 8e-30 relative error = 4.8233437343527064488649281514795e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.507 y[1] (analytic) = 16.588303784736753230568317959885 y[1] (numeric) = 16.588303784736753230568317959894 absolute error = 9e-30 relative error = 5.4255095136858351097528234945596e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.508 y[1] (analytic) = 16.590603571341862651417105227834 y[1] (numeric) = 16.590603571341862651417105227842 absolute error = 8e-30 relative error = 4.8220066048826413752963530751592e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.509 y[1] (analytic) = 16.592903676787192125822675583315 y[1] (numeric) = 16.592903676787192125822675583323 absolute error = 8e-30 relative error = 4.8213381791588892816422015873122e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 4.51 y[1] (analytic) = 16.595204101116945357597350216109 y[1] (numeric) = 16.595204101116945357597350216117 absolute error = 8e-30 relative error = 4.8206698460921957082105298864884e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.511 y[1] (analytic) = 16.597504844375332178912759562502 y[1] (numeric) = 16.597504844375332178912759562511 absolute error = 9e-30 relative error = 5.4225018063784311182246285343948e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.512 y[1] (analytic) = 16.599805906606568551149473191115 y[1] (numeric) = 16.599805906606568551149473191123 absolute error = 8e-30 relative error = 4.8193334578786094805889708794085e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.513 y[1] (analytic) = 16.602107287854876565746747480602 y[1] (numeric) = 16.60210728785487656574674748061 absolute error = 8e-30 relative error = 4.8186654027060339565586616328140e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.514 y[1] (analytic) = 16.604408988164484445052391105568 y[1] (numeric) = 16.604408988164484445052391105576 absolute error = 8e-30 relative error = 4.8179974401391512125764118029394e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.515 y[1] (analytic) = 16.606711007579626543172748347017 y[1] (numeric) = 16.606711007579626543172748347025 absolute error = 8e-30 relative error = 4.8173295701651242634839287273273e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.516 y[1] (analytic) = 16.609013346144543346822800243679 y[1] (numeric) = 16.609013346144543346822800243687 absolute error = 8e-30 relative error = 4.8166617927711179035835879512722e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.517 y[1] (analytic) = 16.611316003903481476176383600547 y[1] (numeric) = 16.611316003903481476176383600556 absolute error = 9e-30 relative error = 5.4179933714373360446907352840780e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.518 y[1] (analytic) = 16.613618980900693685716527870971 y[1] (numeric) = 16.61361898090069368571652787098 absolute error = 9e-30 relative error = 5.4172423301308144024412244664631e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.519 y[1] (analytic) = 16.615922277180438865085909928638 y[1] (numeric) = 16.615922277180438865085909928647 absolute error = 9e-30 relative error = 5.4164913929335091123880729624731e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.52 y[1] (analytic) = 16.618225892786982039937426745797 y[1] (numeric) = 16.618225892786982039937426745806 absolute error = 9e-30 relative error = 5.4157405598309885729198238695126e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.521 y[1] (analytic) = 16.620529827764594372784885994062 y[1] (numeric) = 16.620529827764594372784885994072 absolute error = 1.0e-29 relative error = 6.0166553675653590921457179469064e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.522 y[1] (analytic) = 16.622834082157553163853814584157 y[1] (numeric) = 16.622834082157553163853814584167 absolute error = 1.0e-29 relative error = 6.0158213398362059350505831426356e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.523 y[1] (analytic) = 16.625138656010141851932385160935 y[1] (numeric) = 16.625138656010141851932385160944 absolute error = 9e-30 relative error = 5.4134886849478494478379895954953e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.524 y[1] (analytic) = 16.627443549366650015222460570037 y[1] (numeric) = 16.627443549366650015222460570047 absolute error = 1.0e-29 relative error = 6.0141536312002132228420909918889e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.525 y[1] (analytic) = 16.629748762271373372190756312552 y[1] (numeric) = 16.629748762271373372190756312562 absolute error = 1.0e-29 relative error = 6.0133199502613234420574004361762e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.526 y[1] (analytic) = 16.632054294768613782420121004014 y[1] (numeric) = 16.632054294768613782420121004024 absolute error = 1.0e-29 relative error = 6.0124863848871415966508276862404e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.527 y[1] (analytic) = 16.634360146902679247460934854119 y[1] (numeric) = 16.634360146902679247460934854129 absolute error = 1.0e-29 relative error = 6.0116529350616481267437764180374e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.528 y[1] (analytic) = 16.63666631871788391168262618351 y[1] (numeric) = 16.63666631871788391168262618352 absolute error = 1.0e-29 relative error = 6.0108196007688256930862772360336e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.529 y[1] (analytic) = 16.638972810258548063125305994004 y[1] (numeric) = 16.638972810258548063125305994014 absolute error = 1.0e-29 relative error = 6.0099863819926591767491645160087e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.53 y[1] (analytic) = 16.641279621568998134351520608615 y[1] (numeric) = 16.641279621568998134351520608625 absolute error = 1.0e-29 relative error = 6.0091532787171356788162959182532e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.4MB, time=22.33 x[1] = 4.531 y[1] (analytic) = 16.643586752693566703298122397759 y[1] (numeric) = 16.643586752693566703298122397769 absolute error = 1.0e-29 relative error = 6.0083202909262445200768145652409e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.532 y[1] (analytic) = 16.645894203676592494128258607999 y[1] (numeric) = 16.645894203676592494128258608009 absolute error = 1.0e-29 relative error = 6.0074874186039772407174538778668e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.533 y[1] (analytic) = 16.648201974562420378083478309706 y[1] (numeric) = 16.648201974562420378083478309716 absolute error = 1.0e-29 relative error = 6.0066546617343276000148850643368e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.534 y[1] (analytic) = 16.650510065395401374335957480019 y[1] (numeric) = 16.650510065395401374335957480028 absolute error = 9e-30 relative error = 5.4052398182711624184252965302137e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.535 y[1] (analytic) = 16.652818476219892650840842237473 y[1] (numeric) = 16.652818476219892650840842237482 absolute error = 9e-30 relative error = 5.4044905448599806287617922544904e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.536 y[1] (analytic) = 16.655127207080257525188710244682 y[1] (numeric) = 16.655127207080257525188710244691 absolute error = 9e-30 relative error = 5.4037413753129498442537800778934e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.537 y[1] (analytic) = 16.657436258020865465458150295458 y[1] (numeric) = 16.657436258020865465458150295467 absolute error = 9e-30 relative error = 5.4029923096156724342059350836007e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.538 y[1] (analytic) = 16.659745629086092091068460102746 y[1] (numeric) = 16.659745629086092091068460102755 absolute error = 9e-30 relative error = 5.4022433477537527637200156879315e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.539 y[1] (analytic) = 16.662055320320319173632462303772 y[1] (numeric) = 16.662055320320319173632462303781 absolute error = 9e-30 relative error = 5.4014944897127971934182065929374e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.54 y[1] (analytic) = 16.664365331767934637809438698782 y[1] (numeric) = 16.664365331767934637809438698792 absolute error = 1.0e-29 relative error = 6.0008285949760156435183334323863e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.541 y[1] (analytic) = 16.666675663473332562158182739779 y[1] (numeric) = 16.666675663473332562158182739789 absolute error = 1.0e-29 relative error = 5.9999967611513486353312396701638e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.542 y[1] (analytic) = 16.66898631548091317999017028563 y[1] (numeric) = 16.66898631548091317999017028564 absolute error = 1.0e-29 relative error = 5.9991650426353429075966202052008e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.543 y[1] (analytic) = 16.671297287835082880222848639964 y[1] (numeric) = 16.671297287835082880222848639974 absolute error = 1.0e-29 relative error = 5.9983334394120143935790153643959e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 22.36 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 4.544 y[1] (analytic) = 16.673608580580254208233043888242 y[1] (numeric) = 16.673608580580254208233043888252 absolute error = 1.0e-29 relative error = 5.9975019514653812422515390242747e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.545 y[1] (analytic) = 16.675920193760845866710486550407 y[1] (numeric) = 16.675920193760845866710486550417 absolute error = 1.0e-29 relative error = 5.9966705787794638179887374707432e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.546 y[1] (analytic) = 16.678232127421282716511455565516 y[1] (numeric) = 16.678232127421282716511455565526 absolute error = 1.0e-29 relative error = 5.9958393213382847002594908346940e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.547 y[1] (analytic) = 16.680544381605995777512540624759 y[1] (numeric) = 16.680544381605995777512540624769 absolute error = 1.0e-29 relative error = 5.9950081791258686833199570975613e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.548 y[1] (analytic) = 16.682856956359422229464522869271 y[1] (numeric) = 16.682856956359422229464522869282 absolute error = 1.1e-29 relative error = 6.5935948673388670534972145270194e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.549 y[1] (analytic) = 16.685169851726005412846373969158 y[1] (numeric) = 16.685169851726005412846373969168 absolute error = 1.0e-29 relative error = 5.9933462403234362009290114742703e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.55 y[1] (analytic) = 16.687483067750194829719373600122 y[1] (numeric) = 16.687483067750194829719373600133 absolute error = 1.1e-29 relative error = 6.5917669880716284346797363864746e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.551 y[1] (analytic) = 16.689796604476446144581345334142 y[1] (numeric) = 16.689796604476446144581345334154 absolute error = 1.2e-29 relative error = 7.1900217146932908107343300176229e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.552 y[1] (analytic) = 16.692110461949221185221010960583 y[1] (numeric) = 16.692110461949221185221010960595 absolute error = 1.2e-29 relative error = 7.1890250351235094870354118713191e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.553 y[1] (analytic) = 16.694424640212987943572463254182 y[1] (numeric) = 16.694424640212987943572463254193 absolute error = 1.1e-29 relative error = 6.5890261192371716786951470967800e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.554 y[1] (analytic) = 16.696739139312220576569757206321 y[1] (numeric) = 16.696739139312220576569757206332 absolute error = 1.1e-29 relative error = 6.5881127495731581746682818607005e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.555 y[1] (analytic) = 16.699053959291399407001619736016 y[1] (numeric) = 16.699053959291399407001619736027 absolute error = 1.1e-29 relative error = 6.5871995065202899360245504165623e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.556 y[1] (analytic) = 16.701369100195010924366277897041 y[1] (numeric) = 16.701369100195010924366277897052 absolute error = 1.1e-29 relative error = 6.5862863900610161476482287728380e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.557 y[1] (analytic) = 16.703684562067547785726405597617 y[1] (numeric) = 16.703684562067547785726405597629 absolute error = 1.2e-29 relative error = 7.1840437092848601025249709335411e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.558 y[1] (analytic) = 16.706000344953508816564188849106 y[1] (numeric) = 16.706000344953508816564188849118 absolute error = 1.2e-29 relative error = 7.1830478583851572640208990002230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.559 y[1] (analytic) = 16.708316448897399011636509560125 y[1] (numeric) = 16.708316448897399011636509560137 absolute error = 1.2e-29 relative error = 7.1820521455301343537900045707984e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.56 y[1] (analytic) = 16.710632873943729535830247892533 y[1] (numeric) = 16.710632873943729535830247892545 absolute error = 1.2e-29 relative error = 7.1810565707006556421139274072476e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.561 y[1] (analytic) = 16.712949620137017725017703195717 y[1] (numeric) = 16.712949620137017725017703195729 absolute error = 1.2e-29 relative error = 7.1800611338775880518658598355263e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=446.3MB, alloc=4.4MB, time=22.53 TOP MAIN SOLVE Loop x[1] = 4.562 y[1] (analytic) = 16.715266687521787086912133535619 y[1] (numeric) = 16.715266687521787086912133535631 absolute error = 1.2e-29 relative error = 7.1790658350418011581428449621327e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.563 y[1] (analytic) = 16.71758407614256730192341383495 y[1] (numeric) = 16.717584076142567301923413834963 absolute error = 1.3e-29 relative error = 7.7762432303553477868896363498845e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.564 y[1] (analytic) = 16.719901786043894224013812641031 y[1] (numeric) = 16.719901786043894224013812641043 absolute error = 1.2e-29 relative error = 7.1770756512555610195735457266721e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.565 y[1] (analytic) = 16.722219817270309881553887537702 y[1] (numeric) = 16.722219817270309881553887537715 absolute error = 1.3e-29 relative error = 7.7740874967890985312929988924348e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.566 y[1] (analytic) = 16.724538169866362478178499217768 y[1] (numeric) = 16.72453816986636247817849921778 absolute error = 1.2e-29 relative error = 7.1750860191889448576899333178258e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.567 y[1] (analytic) = 16.7268568438766063936429442324 y[1] (numeric) = 16.726856843876606393642944232413 absolute error = 1.3e-29 relative error = 7.7719323608362560314123946287352e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.568 y[1] (analytic) = 16.729175839345602184679206433985 y[1] (numeric) = 16.729175839345602184679206433998 absolute error = 1.3e-29 relative error = 7.7708550169130884421526023850621e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.569 y[1] (analytic) = 16.731495156317916585852327128839 y[1] (numeric) = 16.731495156317916585852327128853 absolute error = 1.4e-29 relative error = 8.3674530394335457617977634832824e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.57 y[1] (analytic) = 16.733814794838122510416893956275 y[1] (numeric) = 16.733814794838122510416893956289 absolute error = 1.4e-29 relative error = 8.3662931445366408772515604735936e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.571 y[1] (analytic) = 16.736134754950799051173648510462 y[1] (numeric) = 16.736134754950799051173648510475 absolute error = 1.3e-29 relative error = 7.7676238811081546209190252222132e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.572 y[1] (analytic) = 16.738455036700531481326212721553 y[1] (numeric) = 16.738455036700531481326212721565 absolute error = 1.2e-29 relative error = 7.1691204317775726553094789027338e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.573 y[1] (analytic) = 16.740775640131911255337934012539 y[1] (numeric) = 16.740775640131911255337934012551 absolute error = 1.2e-29 relative error = 7.1681266495400235478717565872595e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.574 y[1] (analytic) = 16.743096565289536009788849248298 y[1] (numeric) = 16.743096565289536009788849248311 absolute error = 1.3e-29 relative error = 7.7643940888154298426275756515231e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.575 y[1] (analytic) = 16.745417812218009564232767493311 y[1] (numeric) = 16.745417812218009564232767493324 absolute error = 1.3e-29 relative error = 7.7633177898462293961683284561917e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.576 y[1] (analytic) = 16.747739380961941922054471594504 y[1] (numeric) = 16.747739380961941922054471594516 absolute error = 1.2e-29 relative error = 7.1651461292985289791738695892868e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.577 y[1] (analytic) = 16.750061271565949271327038605708 y[1] (numeric) = 16.750061271565949271327038605721 absolute error = 1.3e-29 relative error = 7.7611656394762792603333367317937e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.578 y[1] (analytic) = 16.752383484074653985669279070208 y[1] (numeric) = 16.752383484074653985669279070221 absolute error = 1.3e-29 relative error = 7.7600897880341692856254446920108e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.579 y[1] (analytic) = 16.754706018532684625103295177842 y[1] (numeric) = 16.754706018532684625103295177855 absolute error = 1.3e-29 relative error = 7.7590140857264006272326374690927e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.58 y[1] (analytic) = 16.757028874984675936912157813158 y[1] (numeric) = 16.757028874984675936912157813171 absolute error = 1.3e-29 relative error = 7.7579385325323003084879584183175e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.581 y[1] (analytic) = 16.759352053475268856497702511089 y[1] (numeric) = 16.759352053475268856497702511102 absolute error = 1.3e-29 relative error = 7.7568631284311982184089102917083e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.582 y[1] (analytic) = 16.761675554049110508238444336648 y[1] (numeric) = 16.761675554049110508238444336661 absolute error = 1.3e-29 relative error = 7.7557878734024271113002145526122e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.583 y[1] (analytic) = 16.763999376750854206347611705118 y[1] (numeric) = 16.76399937675085420634761170513 absolute error = 1.2e-29 relative error = 7.1581964007002977904830391591245e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.584 y[1] (analytic) = 16.766323521625159455731299159232 y[1] (numeric) = 16.766323521625159455731299159244 absolute error = 1.2e-29 relative error = 7.1572041327500521728607393706548e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.585 y[1] (analytic) = 16.768647988716691952846739119841 y[1] (numeric) = 16.768647988716691952846739119853 absolute error = 1.2e-29 relative error = 7.1562120023478186478257455456154e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.586 y[1] (analytic) = 16.77097277807012358656069262655 y[1] (numeric) = 16.770972778070123586560692626562 absolute error = 1.2e-29 relative error = 7.1552200094745303336694028981675e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.587 y[1] (analytic) = 16.773297889730132439007959084834 y[1] (numeric) = 16.773297889730132439007959084845 absolute error = 1.1e-29 relative error = 6.5580424746018627424200008128487e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.588 y[1] (analytic) = 16.775623323741402786450005036118 y[1] (numeric) = 16.77562332374140278645000503613 absolute error = 1.2e-29 relative error = 7.1532364362385350260309398311048e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.589 y[1] (analytic) = 16.777949080148625100133711967343 y[1] (numeric) = 16.777949080148625100133711967355 absolute error = 1.2e-29 relative error = 7.1522448558377074829053119531216e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.59 y[1] (analytic) = 16.780275158996496047150243176496 y[1] (numeric) = 16.780275158996496047150243176508 absolute error = 1.2e-29 relative error = 7.1512534128895840506387150160809e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.591 y[1] (analytic) = 16.782601560329718491294029710627 y[1] (numeric) = 16.782601560329718491294029710639 absolute error = 1.2e-29 relative error = 7.1502621073751110590984803736411e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=450.1MB, alloc=4.4MB, time=22.75 x[1] = 4.592 y[1] (analytic) = 16.78492828419300149392187539286 y[1] (numeric) = 16.784928284193001493921875392872 absolute error = 1.2e-29 relative error = 7.1492709392752374793684063304959e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 3.798e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 4.593 y[1] (analytic) = 16.7872553306310603148121809549 y[1] (numeric) = 16.787255330631060314812180954912 absolute error = 1.2e-29 relative error = 7.1482799085709149233826331713480e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.594 y[1] (analytic) = 16.789582699688616413024287291559 y[1] (numeric) = 16.789582699688616413024287291571 absolute error = 1.2e-29 relative error = 7.1472890152430976435595689420603e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.595 y[1] (analytic) = 16.791910391410397447757937853804 y[1] (numeric) = 16.791910391410397447757937853816 absolute error = 1.2e-29 relative error = 7.1462982592727425324358659759551e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.596 y[1] (analytic) = 16.794238405841137279212860196856 y[1] (numeric) = 16.794238405841137279212860196868 absolute error = 1.2e-29 relative error = 7.1453076406408091223004481582222e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.597 y[1] (analytic) = 16.796566743025575969448466699855 y[1] (numeric) = 16.796566743025575969448466699867 absolute error = 1.2e-29 relative error = 7.1443171593282595848285889214040e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 4.598 y[1] (analytic) = 16.798895403008459783243674473606 y[1] (numeric) = 16.798895403008459783243674473618 absolute error = 1.2e-29 relative error = 7.1433268153160587307160399649287e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.599 y[1] (analytic) = 16.801224385834541188956844472945 y[1] (numeric) = 16.801224385834541188956844472957 absolute error = 1.2e-29 relative error = 7.1423366085851740093132106916530e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 114 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 4.6 y[1] (analytic) = 16.803553691548578859385839830237 y[1] (numeric) = 16.803553691548578859385839830248 absolute error = 1.1e-29 relative error = 6.5462343275235275492377818248589e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.601 y[1] (analytic) = 16.805883320195337672628203426539 y[1] (numeric) = 16.805883320195337672628203426551 absolute error = 1.2e-29 relative error = 7.1403566068912359531170689054002e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.602 y[1] (analytic) = 16.808213271819588712941454716971 y[1] (numeric) = 16.808213271819588712941454716982 absolute error = 1.1e-29 relative error = 6.5444195775659531480890061632993e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.603 y[1] (analytic) = 16.8105435464661092716035058268 y[1] (numeric) = 16.810543546466109271603505826812 absolute error = 1.2e-29 relative error = 7.1383771540942377702386059397928e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.604 y[1] (analytic) = 16.812874144179682847773196934813 y[1] (numeric) = 16.812874144179682847773196934825 absolute error = 1.2e-29 relative error = 7.1373876334845377799524851710230e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.605 y[1] (analytic) = 16.81520506500509914935095096047 y[1] (numeric) = 16.815205065005099149350950960482 absolute error = 1.2e-29 relative error = 7.1363982500420140097467892934171e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.606 y[1] (analytic) = 16.817536308987154093839547571423 y[1] (numeric) = 16.817536308987154093839547571435 absolute error = 1.2e-29 relative error = 7.1354090037476523693158146101196e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.607 y[1] (analytic) = 16.819867876170649809205016527906 y[1] (numeric) = 16.819867876170649809205016527918 absolute error = 1.2e-29 relative error = 7.1344198945824414040837755891198e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.608 y[1] (analytic) = 16.822199766600394634737650380566 y[1] (numeric) = 16.822199766600394634737650380579 absolute error = 1.3e-29 relative error = 7.7278834994046533194093938063921e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.609 y[1] (analytic) = 16.824531980321203121913136538272 y[1] (numeric) = 16.824531980321203121913136538285 absolute error = 1.3e-29 relative error = 7.7268122615270587621517187605761e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.61 y[1] (analytic) = 16.826864517377896035253808722443 y[1] (numeric) = 16.826864517377896035253808722456 absolute error = 1.3e-29 relative error = 7.7257411721442740039415488157121e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.611 y[1] (analytic) = 16.82919737781530035319001782447 y[1] (numeric) = 16.829197377815300353190017824482 absolute error = 1.2e-29 relative error = 7.1304648288329674337174114218019e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.612 y[1] (analytic) = 16.831530561678249268921622182758 y[1] (numeric) = 16.83153056167824926892162218277 absolute error = 1.2e-29 relative error = 7.1294764050284302508177296626108e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.613 y[1] (analytic) = 16.833864069011582191279597295967 y[1] (numeric) = 16.833864069011582191279597295979 absolute error = 1.2e-29 relative error = 7.1284881182390303455336888264552e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.614 y[1] (analytic) = 16.836197899860144745587764988998 y[1] (numeric) = 16.83619789986014474558776498901 absolute error = 1.2e-29 relative error = 7.1274999684457747031715623177753e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.615 y[1] (analytic) = 16.838532054268788774524642048288 y[1] (numeric) = 16.8385320542687887745246420483 absolute error = 1.2e-29 relative error = 7.1265119556296729418460440092226e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.616 y[1] (analytic) = 16.840866532282372338985408342976 y[1] (numeric) = 16.840866532282372338985408342989 absolute error = 1.3e-29 relative error = 7.7193177530860487547915628586346e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.617 y[1] (analytic) = 16.843201333945759718943994448512 y[1] (numeric) = 16.843201333945759718943994448525 absolute error = 1.3e-29 relative error = 7.7182477025907312546673373636913e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.618 y[1] (analytic) = 16.845536459303821414315288789263 y[1] (numeric) = 16.845536459303821414315288789276 absolute error = 1.3e-29 relative error = 7.7171778004256288271734722083074e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.619 y[1] (analytic) = 16.847871908401434145817464316704 y[1] (numeric) = 16.847871908401434145817464316716 absolute error = 1.2e-29 relative error = 7.1225612737570891970623339496756e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.62 y[1] (analytic) = 16.850207681283480855834424739745 y[1] (numeric) = 16.850207681283480855834424739757 absolute error = 1.2e-29 relative error = 7.1215739455419932353906525618415e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.621 y[1] (analytic) = 16.852543777994850709278370323795 y[1] (numeric) = 16.852543777994850709278370323807 absolute error = 1.2e-29 relative error = 7.1205867541901641319863842447203e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.622 y[1] (analytic) = 16.85488019858043909445248327511 y[1] (numeric) = 16.854880198580439094452483275122 absolute error = 1.2e-29 relative error = 7.1195996996826299244071341579971e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=453.9MB, alloc=4.4MB, time=22.95 TOP MAIN SOLVE Loop x[1] = 4.623 y[1] (analytic) = 16.857216943085147623913732727032 y[1] (numeric) = 16.857216943085147623913732727044 absolute error = 1.2e-29 relative error = 7.1186127820004212801006684815623e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.624 y[1] (analytic) = 16.859554011553884135335799344678 y[1] (numeric) = 16.85955401155388413533579934469 absolute error = 1.2e-29 relative error = 7.1176260011245714960403594950605e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.625 y[1] (analytic) = 16.861891404031562692372119564679 y[1] (numeric) = 16.861891404031562692372119564691 absolute error = 1.2e-29 relative error = 7.1166393570361164983606811919762e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.626 y[1] (analytic) = 16.864229120563103585519049486547 y[1] (numeric) = 16.86422912056310358551904948656 absolute error = 1.3e-29 relative error = 7.7086239205257694121588183730273e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.627 y[1] (analytic) = 16.866567161193433332979148432261 y[1] (numeric) = 16.866567161193433332979148432273 absolute error = 1.2e-29 relative error = 7.1146664791455477102999485494603e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.628 y[1] (analytic) = 16.868905525967484681524582190654 y[1] (numeric) = 16.868905525967484681524582190666 absolute error = 1.2e-29 relative error = 7.1136802453055189147135186364478e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.629 y[1] (analytic) = 16.871244214930196607360645963217 y[1] (numeric) = 16.871244214930196607360645963229 absolute error = 1.2e-29 relative error = 7.1126941481770548943683131175774e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.63 y[1] (analytic) = 16.873583228126514316989407027887 y[1] (numeric) = 16.873583228126514316989407027899 absolute error = 1.2e-29 relative error = 7.1117081877412047157385169854416e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.631 y[1] (analytic) = 16.875922565601389248073467137435 y[1] (numeric) = 16.875922565601389248073467137446 absolute error = 1.1e-29 relative error = 6.5181621669807683995839971754437e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.632 y[1] (analytic) = 16.878262227399779070299844669044 y[1] (numeric) = 16.878262227399779070299844669055 absolute error = 1.1e-29 relative error = 6.5172586204655923436973045715502e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.633 y[1] (analytic) = 16.880602213566647686243976541695 y[1] (numeric) = 16.880602213566647686243976541706 absolute error = 1.1e-29 relative error = 6.5163551991998783558818217661534e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.634 y[1] (analytic) = 16.88294252414696523223383991794 y[1] (numeric) = 16.882942524146965232233839917951 absolute error = 1.1e-29 relative error = 6.5154519031662643773117399782268e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 4.635 y[1] (analytic) = 16.885283159185708079214193706692 y[1] (numeric) = 16.885283159185708079214193706704 absolute error = 1.2e-29 relative error = 7.1067804352880626427856543611367e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.636 y[1] (analytic) = 16.887624118727858833610939883632 y[1] (numeric) = 16.887624118727858833610939883643 absolute error = 1.1e-29 relative error = 6.5136456867259002458989214647486e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.637 y[1] (analytic) = 16.889965402818406338195604645836 y[1] (numeric) = 16.889965402818406338195604645847 absolute error = 1.1e-29 relative error = 6.5127427662844380076981308952898e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.638 y[1] (analytic) = 16.892307011502345672949939417258 y[1] (numeric) = 16.892307011502345672949939417269 absolute error = 1.1e-29 relative error = 6.5118399710056516073595326132312e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.639 y[1] (analytic) = 16.894648944824678155930641721659 y[1] (numeric) = 16.89464894482467815593064172167 absolute error = 1.1e-29 relative error = 6.5109373008721910163495784161073e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.64 y[1] (analytic) = 16.896991202830411344134195939619 y[1] (numeric) = 16.89699120283041134413419593963 absolute error = 1.1e-29 relative error = 6.5100347558667086111926824678658e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.641 y[1] (analytic) = 16.899333785564559034361833966243 y[1] (numeric) = 16.899333785564559034361833966255 absolute error = 1.2e-29 relative error = 7.1008716392420281888776355407360e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.642 y[1] (analytic) = 16.901676693072141264084615786193 y[1] (numeric) = 16.901676693072141264084615786204 absolute error = 1.1e-29 relative error = 6.5082300411702998878252477010137e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.643 y[1] (analytic) = 16.904019925398184312308629982653 y[1] (numeric) = 16.904019925398184312308629982664 absolute error = 1.1e-29 relative error = 6.5073278714446903449530816286506e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.644 y[1] (analytic) = 16.906363482587720700440314196883 y[1] (numeric) = 16.906363482587720700440314196894 absolute error = 1.1e-29 relative error = 6.5064258267776925379441729037539e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.645 y[1] (analytic) = 16.908707364685789193151895554963 y[1] (numeric) = 16.908707364685789193151895554974 absolute error = 1.1e-29 relative error = 6.5055239071519708636128409140810e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.646 y[1] (analytic) = 16.911051571737434799246951078376 y[1] (numeric) = 16.911051571737434799246951078387 absolute error = 1.1e-29 relative error = 6.5046221125501921218317281808319e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.647 y[1] (analytic) = 16.91339610378770877252608809506 y[1] (numeric) = 16.913396103787708772526088095072 absolute error = 1.2e-29 relative error = 7.0949677559509369256712969037470e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.648 y[1] (analytic) = 16.915740960881668612652744667573 y[1] (numeric) = 16.915740960881668612652744667584 absolute error = 1.1e-29 relative error = 6.5028188983491426487037232301905e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.649 y[1] (analytic) = 16.918086143064378066019110054983 y[1] (numeric) = 16.918086143064378066019110054995 absolute error = 1.2e-29 relative error = 7.0930008858711463957046823527879e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.65 y[1] (analytic) = 16.920431650380907126612165225175 y[1] (numeric) = 16.920431650380907126612165225186 absolute error = 1.1e-29 relative error = 6.5010161840359265660506770874732e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.651 y[1] (analytic) = 16.922777482876332036879843434154 y[1] (numeric) = 16.922777482876332036879843434165 absolute error = 1.1e-29 relative error = 6.5001150142939485688363866788815e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.652 y[1] (analytic) = 16.925123640595735288597310889054 y[1] (numeric) = 16.925123640595735288597310889065 absolute error = 1.1e-29 relative error = 6.4992139694719647489819427161409e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.653 y[1] (analytic) = 16.927470123584205623733367511452 memory used=457.7MB, alloc=4.4MB, time=23.15 y[1] (numeric) = 16.927470123584205623733367511463 absolute error = 1.1e-29 relative error = 6.4983130495526587184437122088370e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.654 y[1] (analytic) = 16.929816931886838035316967817666 y[1] (numeric) = 16.929816931886838035316967817676 absolute error = 1.0e-29 relative error = 5.9067384131988331723388960218636e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.655 y[1] (analytic) = 16.932164065548733768303861932674 y[1] (numeric) = 16.932164065548733768303861932684 absolute error = 1.0e-29 relative error = 5.9059196221389331588929405307897e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.656 y[1] (analytic) = 16.934511524615000320443356754326 y[1] (numeric) = 16.934511524615000320443356754336 absolute error = 1.0e-29 relative error = 5.9051009445797086238312869887112e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.657 y[1] (analytic) = 16.936859309130751443145197284488 y[1] (numeric) = 16.936859309130751443145197284498 absolute error = 1.0e-29 relative error = 5.9042823805054261230984731383279e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.658 y[1] (analytic) = 16.939207419141107142346568143788 y[1] (numeric) = 16.939207419141107142346568143797 absolute error = 9e-30 relative error = 5.3131175369103189542457038437876e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.659 y[1] (analytic) = 16.941555854691193679379215286627 y[1] (numeric) = 16.941555854691193679379215286636 absolute error = 9e-30 relative error = 5.3123810334738879176385251235906e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.66 y[1] (analytic) = 16.943904615826143571836687933117 y[1] (numeric) = 16.943904615826143571836687933126 absolute error = 9e-30 relative error = 5.3116446321314361891126453910729e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.661 y[1] (analytic) = 16.94625370259109559444170073461 y[1] (numeric) = 16.946253702591095594441700734619 absolute error = 9e-30 relative error = 5.3109083328688115188680259744589e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.662 y[1] (analytic) = 16.948603115031194779913616189493 y[1] (numeric) = 16.948603115031194779913616189502 absolute error = 9e-30 relative error = 5.3101721356718636188870541597874e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.663 y[1] (analytic) = 16.950952853191592419836047325913 y[1] (numeric) = 16.950952853191592419836047325922 absolute error = 9e-30 relative error = 5.3094360405264441626626012494413e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.664 y[1] (analytic) = 16.953302917117446065524580668114 y[1] (numeric) = 16.953302917117446065524580668124 absolute error = 1.0e-29 relative error = 5.8985556082426742054734647969135e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.665 y[1] (analytic) = 16.955653306853919528894619503059 y[1] (numeric) = 16.955653306853919528894619503069 absolute error = 1.0e-29 relative error = 5.8977379514817856459730773941590e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.666 y[1] (analytic) = 16.958004022446182883329347464006 y[1] (numeric) = 16.958004022446182883329347464016 absolute error = 1.0e-29 relative error = 5.8969204080643362315606710043555e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.667 y[1] (analytic) = 16.960355063939412464547812447738 y[1] (numeric) = 16.960355063939412464547812447747 absolute error = 9e-30 relative error = 5.3064926801771528828287628703287e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.668 y[1] (analytic) = 16.962706431378790871473130882108 y[1] (numeric) = 16.962706431378790871473130882118 absolute error = 1.0e-29 relative error = 5.8952856611969104240174755691270e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.669 y[1] (analytic) = 16.965058124809506967100812360608 y[1] (numeric) = 16.965058124809506967100812360617 absolute error = 9e-30 relative error = 5.3050216119439655416126045999204e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.67 y[1] (analytic) = 16.967410144276755879367204660619 y[1] (numeric) = 16.967410144276755879367204660629 absolute error = 1.0e-29 relative error = 5.8936513675147297325271594894743e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.671 y[1] (analytic) = 16.96976248982573900201805916207 y[1] (numeric) = 16.96976248982573900201805916208 absolute error = 1.0e-29 relative error = 5.8928343905788448782140009582924e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.672 y[1] (analytic) = 16.972115161501663995477216683159 y[1] (numeric) = 16.972115161501663995477216683169 absolute error = 1.0e-29 relative error = 5.8920175268921619442479276165432e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.673 y[1] (analytic) = 16.97446815934974478771541374986 y[1] (numeric) = 16.97446815934974478771541374987 absolute error = 1.0e-29 relative error = 5.8912007764389823457947120629032e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.674 y[1] (analytic) = 16.976821483415201575119209315903 y[1] (numeric) = 16.976821483415201575119209315912 absolute error = 9e-30 relative error = 5.3013457252832487067397236893340e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.675 y[1] (analytic) = 16.979175133743260823360031949914 y[1] (numeric) = 16.979175133743260823360031949924 absolute error = 1.0e-29 relative error = 5.8895676151703496964638974777673e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.676 y[1] (analytic) = 16.981529110379155268263347506445 y[1] (numeric) = 16.981529110379155268263347506454 absolute error = 9e-30 relative error = 5.2998760838911593198481846169913e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.677 y[1] (analytic) = 16.98388341336812391667794729756 y[1] (numeric) = 16.983883413368123916677947297569 absolute error = 9e-30 relative error = 5.2991414159826615919385985851220e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.678 y[1] (analytic) = 16.986238042755412047345356781723 y[1] (numeric) = 16.986238042755412047345356781732 absolute error = 9e-30 relative error = 5.2984068499137026066314694239012e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.679 y[1] (analytic) = 16.988592998586271211769364786662 y[1] (numeric) = 16.988592998586271211769364786672 absolute error = 1.0e-29 relative error = 5.8863026507446282051489478379759e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.68 y[1] (analytic) = 16.990948280905959235085673282947 y[1] (numeric) = 16.990948280905959235085673282956 absolute error = 9e-30 relative error = 5.2969380232379349035468397177527e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.681 y[1] (analytic) = 16.993303889759740216931667724967 y[1] (numeric) = 16.993303889759740216931667724976 absolute error = 9e-30 relative error = 5.2962037626028980975922897748070e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.682 y[1] (analytic) = 16.995659825192884532316307976053 y[1] (numeric) = 16.995659825192884532316307976063 absolute error = 1.0e-29 relative error = 5.8838551152788265081595634488149e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.683 y[1] (analytic) = 16.998016087250668832490139834442 y[1] (numeric) = 16.998016087250668832490139834452 absolute error = 1.0e-29 relative error = 5.8830394962977366993928334439391e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=461.5MB, alloc=4.4MB, time=23.36 x[1] = 4.684 y[1] (analytic) = 17.000372675978376045815427176805 y[1] (numeric) = 17.000372675978376045815427176814 absolute error = 9e-30 relative error = 5.2940015913398484163832802614636e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.685 y[1] (analytic) = 17.002729591421295378636404736069 y[1] (numeric) = 17.002729591421295378636404736078 absolute error = 9e-30 relative error = 5.2932677377524947761312483714639e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.686 y[1] (analytic) = 17.005086833624722316149651530255 y[1] (numeric) = 17.005086833624722316149651530264 absolute error = 9e-30 relative error = 5.2925339858917988219621182515736e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.687 y[1] (analytic) = 17.007444402633958623274584959054 y[1] (numeric) = 17.007444402633958623274584959063 absolute error = 9e-30 relative error = 5.2918003357436592221357280989124e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.688 y[1] (analytic) = 17.009802298494312345524075584876 y[1] (numeric) = 17.009802298494312345524075584885 absolute error = 9e-30 relative error = 5.2910667872939765996360893918656e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.689 y[1] (analytic) = 17.012160521251097809875182615099 y[1] (numeric) = 17.012160521251097809875182615109 absolute error = 1.0e-29 relative error = 5.8781481561429483687782481804250e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.69 y[1] (analytic) = 17.01451907094963562564001010226 y[1] (numeric) = 17.014519070949635625640010102269 absolute error = 9e-30 relative error = 5.2895999954335945505482350291904e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.691 y[1] (analytic) = 17.016877947635252685336683878905 y[1] (numeric) = 17.016877947635252685336683878914 absolute error = 9e-30 relative error = 5.2888667519947061411104247867237e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.692 y[1] (analytic) = 17.019237151353282165560449243871 y[1] (numeric) = 17.01923715135328216556044924388 absolute error = 9e-30 relative error = 5.2881336101978967427584375445517e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.693 y[1] (analytic) = 17.021596682149063527854889416701 y[1] (numeric) = 17.02159668214906352785488941671 absolute error = 9e-30 relative error = 5.2874005700290767480334494121113e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.694 y[1] (analytic) = 17.023956540067942519583264776961 y[1] (numeric) = 17.023956540067942519583264776971 absolute error = 1.0e-29 relative error = 5.8740751460823983361951021372583e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.695 y[1] (analytic) = 17.026316725155271174799972905203 y[1] (numeric) = 17.026316725155271174799972905212 absolute error = 9e-30 relative error = 5.2859347945190563048532137973539e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 22.36 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 4.696 y[1] (analytic) = 17.028677237456407815122129442303 y[1] (numeric) = 17.028677237456407815122129442312 absolute error = 9e-30 relative error = 5.2852020591496864058921802259308e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 1.699e+16 Order of pole = 4.328e+29 TOP MAIN SOLVE Loop x[1] = 4.697 y[1] (analytic) = 17.031038077016717050601269783953 y[1] (numeric) = 17.031038077016717050601269783962 absolute error = 9e-30 relative error = 5.2844694253519670090052096893227e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.698 y[1] (analytic) = 17.033399243881569780595171627034 y[1] (numeric) = 17.033399243881569780595171627043 absolute error = 9e-30 relative error = 5.2837368931118182695212482884703e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.699 y[1] (analytic) = 17.035760738096343194639798384636 y[1] (numeric) = 17.035760738096343194639798384645 absolute error = 9e-30 relative error = 5.2830044624151622945148815924536e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.7 y[1] (analytic) = 17.038122559706420773321363486484 y[1] (numeric) = 17.038122559706420773321363486493 absolute error = 9e-30 relative error = 5.2822721332479231425357839946330e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.701 y[1] (analytic) = 17.040484708757192289148515581523 y[1] (numeric) = 17.040484708757192289148515581532 absolute error = 9e-30 relative error = 5.2815399055960268233382055724746e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.702 y[1] (analytic) = 17.042847185294053807424644659431 y[1] (numeric) = 17.04284718529405380742464465944 absolute error = 9e-30 relative error = 5.2808077794454012976104964458597e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.703 y[1] (analytic) = 17.045209989362407687120309107816 y[1] (numeric) = 17.045209989362407687120309107825 absolute error = 9e-30 relative error = 5.2800757547819764767046686286811e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.704 y[1] (analytic) = 17.047573121007662581745783721869 y[1] (numeric) = 17.047573121007662581745783721878 absolute error = 9e-30 relative error = 5.2793438315916842223659953685304e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.705 y[1] (analytic) = 17.049936580275233440223728683243 y[1] (numeric) = 17.049936580275233440223728683252 absolute error = 9e-30 relative error = 5.2786120098604583464626479692753e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.706 y[1] (analytic) = 17.052300367210541507761979524921 y[1] (numeric) = 17.052300367210541507761979524931 absolute error = 1.0e-29 relative error = 5.8643114328602606785726334348190e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.707 y[1] (analytic) = 17.05466448185901432672645809886 y[1] (numeric) = 17.05466448185901432672645809887 absolute error = 1.0e-29 relative error = 5.8634985230210563626968772494075e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.708 y[1] (analytic) = 17.057028924266085737514204563167 y[1] (numeric) = 17.057028924266085737514204563177 absolute error = 1.0e-29 relative error = 5.8626857258672737269035193642579e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.709 y[1] (analytic) = 17.059393694477195879426530405606 y[1] (numeric) = 17.059393694477195879426530405616 absolute error = 1.0e-29 relative error = 5.8618730413832923374779833691287e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.71 y[1] (analytic) = 17.061758792537791191542292520205 y[1] (numeric) = 17.061758792537791191542292520215 absolute error = 1.0e-29 relative error = 5.8610604695534939260075197768165e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.711 y[1] (analytic) = 17.064124218493324413591288353743 y[1] (numeric) = 17.064124218493324413591288353753 absolute error = 1.0e-29 relative error = 5.8602480103622623890810522574328e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.712 y[1] (analytic) = 17.066489972389254586827772138913 y[1] (numeric) = 17.066489972389254586827772138923 absolute error = 1.0e-29 relative error = 5.8594356637939837879890654799415e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.713 y[1] (analytic) = 17.068856054271047054904092230936 y[1] (numeric) = 17.068856054271047054904092230946 absolute error = 1.0e-29 relative error = 5.8586234298330463484235345551953e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.714 y[1] (analytic) = 17.071222464184173464744449564426 y[1] (numeric) = 17.071222464184173464744449564436 absolute error = 1.0e-29 relative error = 5.8578113084638404601778960746973e-29 % Correct digits = 30 h = 0.001 memory used=465.4MB, alloc=4.4MB, time=23.57 NO POLE TOP MAIN SOLVE Loop x[1] = 4.715 y[1] (analytic) = 17.073589202174111767418777247291 y[1] (numeric) = 17.073589202174111767418777247301 absolute error = 1.0e-29 relative error = 5.8569992996707586768470607393288e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.716 y[1] (analytic) = 17.075956268286346219016741308468 y[1] (numeric) = 17.075956268286346219016741308478 absolute error = 1.0e-29 relative error = 5.8561874034381957155274675722723e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.717 y[1] (analytic) = 17.078323662566367381521862616287 y[1] (numeric) = 17.078323662566367381521862616297 absolute error = 1.0e-29 relative error = 5.8553756197505484565171797103691e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.718 y[1] (analytic) = 17.080691385059672123685759984263 y[1] (numeric) = 17.080691385059672123685759984273 absolute error = 1.0e-29 relative error = 5.8545639485922159430160217681465e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.719 y[1] (analytic) = 17.08305943581176362190251448112 y[1] (numeric) = 17.08305943581176362190251448113 absolute error = 1.0e-29 relative error = 5.8537523899475993808257587687510e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.72 y[1] (analytic) = 17.085427814868151361083154961848 y[1] (numeric) = 17.085427814868151361083154961857 absolute error = 9e-30 relative error = 5.2676468494209919242452849724237e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.721 y[1] (analytic) = 17.087796522274351135530264836593 y[1] (numeric) = 17.087796522274351135530264836602 absolute error = 9e-30 relative error = 5.2669166491234167703164398177803e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.722 y[1] (analytic) = 17.090165558075885049812710094206 y[1] (numeric) = 17.090165558075885049812710094216 absolute error = 1.0e-29 relative error = 5.8513183889400898928720170038572e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.723 y[1] (analytic) = 17.092534922318281519640488597244 y[1] (numeric) = 17.092534922318281519640488597254 absolute error = 1.0e-29 relative error = 5.8505072801943924354903820251088e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.724 y[1] (analytic) = 17.094904615047075272739700665239 y[1] (numeric) = 17.094904615047075272739700665249 absolute error = 1.0e-29 relative error = 5.8496962838844493869667447744284e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.725 y[1] (analytic) = 17.097274636307807349727640963062 y[1] (numeric) = 17.097274636307807349727640963071 absolute error = 9e-30 relative error = 5.2639968599952074301785375674449e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.726 y[1] (analytic) = 17.09964498614602510498801171118 y[1] (numeric) = 17.09964498614602510498801171119 absolute error = 1.0e-29 relative error = 5.8480746285094853774757879532942e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.727 y[1] (analytic) = 17.102015664607282207546257234654 y[1] (numeric) = 17.102015664607282207546257234664 absolute error = 1.0e-29 relative error = 5.8472639694132992479610326762781e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.728 y[1] (analytic) = 17.104386671737138641945019867665 y[1] (numeric) = 17.104386671737138641945019867674 absolute error = 9e-30 relative error = 5.2618080804214834706494209722373e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.729 y[1] (analytic) = 17.10675800758116070911971723042 y[1] (numeric) = 17.10675800758116070911971723043 absolute error = 1.0e-29 relative error = 5.8456429883256220177642440766599e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.73 y[1] (analytic) = 17.109129672184921027274240895261 y[1] (numeric) = 17.109129672184921027274240895271 absolute error = 1.0e-29 relative error = 5.8448326663029787070691629942585e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.731 y[1] (analytic) = 17.111501665593998532756776458791 y[1] (numeric) = 17.111501665593998532756776458801 absolute error = 1.0e-29 relative error = 5.8440224566070343911793535305108e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.732 y[1] (analytic) = 17.113873987853978480935745036865 y[1] (numeric) = 17.113873987853978480935745036874 absolute error = 9e-30 relative error = 5.2588911232999965262112920753797e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.733 y[1] (analytic) = 17.116246639010452447075866199271 y[1] (numeric) = 17.11624663901045244707586619928 absolute error = 9e-30 relative error = 5.2581621367196658645057524145805e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.734 y[1] (analytic) = 17.118619619109018327214342360946 y[1] (numeric) = 17.118619619109018327214342360954 absolute error = 8e-30 relative error = 4.6732740010589593021665163179757e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.735 y[1] (analytic) = 17.120992928195280339037164646549 y[1] (numeric) = 17.120992928195280339037164646558 absolute error = 9e-30 relative error = 5.2567044667009787675279656006600e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.736 y[1] (analytic) = 17.123366566314849022755540245259 y[1] (numeric) = 17.123366566314849022755540245267 absolute error = 8e-30 relative error = 4.6719784739863188036087089698774e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.737 y[1] (analytic) = 17.125740533513341241982441272603 y[1] (numeric) = 17.125740533513341241982441272611 absolute error = 8e-30 relative error = 4.6713308451361910647164480571767e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.738 y[1] (analytic) = 17.128114829836380184609275156204 y[1] (numeric) = 17.128114829836380184609275156212 absolute error = 8e-30 relative error = 4.6706833060602628117881505693582e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.739 y[1] (analytic) = 17.130489455329595363682676562259 y[1] (numeric) = 17.130489455329595363682676562268 absolute error = 9e-30 relative error = 5.2537903388393507558746932290491e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.74 y[1] (analytic) = 17.132864410038622618281420879622 y[1] (numeric) = 17.132864410038622618281420879631 absolute error = 9e-30 relative error = 5.2530620593288821217767359838692e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.741 y[1] (analytic) = 17.135239694009104114393459278329 y[1] (numeric) = 17.135239694009104114393459278337 absolute error = 8e-30 relative error = 4.6687412273532387533459569382141e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.742 y[1] (analytic) = 17.137615307286688345793075359429 y[1] (numeric) = 17.137615307286688345793075359437 absolute error = 8e-30 relative error = 4.6680940472496808531371176745988e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 1.699e+16 Order of pole = 4.328e+29 TOP MAIN SOLVE Loop x[1] = 4.743 y[1] (analytic) = 17.13999124991703013491816341298 y[1] (numeric) = 17.139991249917030134918163412989 absolute error = 9e-30 relative error = 5.2508778264653819251408917776244e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 2.193e+16 Order of pole = 4.809e+29 TOP MAIN SOLVE Loop x[1] = 4.744 y[1] (analytic) = 17.14236752194579063374762830106 y[1] (numeric) = 17.142367521945790633747628301068 absolute error = 8e-30 relative error = 4.6667999561661121331342297984231e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=469.2MB, alloc=4.4MB, time=23.78 x[1] = 4.745 y[1] (analytic) = 17.144744123418637324678906982658 y[1] (numeric) = 17.144744123418637324678906982666 absolute error = 8e-30 relative error = 4.6661530451612313148449411296762e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.746 y[1] (analytic) = 17.147121054381244021405611697321 y[1] (numeric) = 17.147121054381244021405611697329 absolute error = 8e-30 relative error = 4.6655062238310423982228535022956e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.747 y[1] (analytic) = 17.149498314879290869795294824408 y[1] (numeric) = 17.149498314879290869795294824416 absolute error = 8e-30 relative error = 4.6648594921631146929458252361787e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.748 y[1] (analytic) = 17.151875904958464348767335434827 y[1] (numeric) = 17.151875904958464348767335434834 absolute error = 7e-30 relative error = 4.0811862438768918278528799144054e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.749 y[1] (analytic) = 17.154253824664457271170947552123 y[1] (numeric) = 17.15425382466445727117094755213 absolute error = 7e-30 relative error = 4.0806205105437876742752268155157e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.75 y[1] (analytic) = 17.156632074042968784663310139802 y[1] (numeric) = 17.156632074042968784663310139809 absolute error = 7e-30 relative error = 4.0800548556325405641786704217480e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.751 y[1] (analytic) = 17.159010653139704372587818831749 y[1] (numeric) = 17.159010653139704372587818831757 absolute error = 8e-30 relative error = 4.6622734618654624837347985458805e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.752 y[1] (analytic) = 17.161389562000375854852459422636 y[1] (numeric) = 17.161389562000375854852459422644 absolute error = 8e-30 relative error = 4.6616271783224407818966723123889e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.753 y[1] (analytic) = 17.163768800670701388808303135181 y[1] (numeric) = 17.163768800670701388808303135189 absolute error = 8e-30 relative error = 4.6609809843671323270548757627160e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.754 y[1] (analytic) = 17.166148369196405470128123681166 y[1] (numeric) = 17.166148369196405470128123681174 absolute error = 8e-30 relative error = 4.6603348799871184858533735034590e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.755 y[1] (analytic) = 17.168528267623218933685136133076 y[1] (numeric) = 17.168528267623218933685136133084 absolute error = 8e-30 relative error = 4.6596888651699823464049436875372e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.756 y[1] (analytic) = 17.170908495996878954431857623259 y[1] (numeric) = 17.170908495996878954431857623268 absolute error = 9e-30 relative error = 5.2414233073912223078091168422469e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.757 y[1] (analytic) = 17.173289054363129048279089887501 y[1] (numeric) = 17.17328905436312904827908988751 absolute error = 9e-30 relative error = 5.2406967421965196475220786164539e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.758 y[1] (analytic) = 17.175669942767719072975023669888 y[1] (numeric) = 17.175669942767719072975023669897 absolute error = 9e-30 relative error = 5.2399702777181589413179664191371e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.759 y[1] (analytic) = 17.178051161256405228984465005878 y[1] (numeric) = 17.178051161256405228984465005887 absolute error = 9e-30 relative error = 5.2392439139421789072491045043951e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.76 y[1] (analytic) = 17.180432709874950060368183400458 y[1] (numeric) = 17.180432709874950060368183400467 absolute error = 9e-30 relative error = 5.2385176508546201986783123323625e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.761 y[1] (analytic) = 17.182814588669122455662381918294 y[1] (numeric) = 17.182814588669122455662381918303 absolute error = 9e-30 relative error = 5.2377914884415254040106321622136e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.762 y[1] (analytic) = 17.185196797684697648758289202777 y[1] (numeric) = 17.185196797684697648758289202786 absolute error = 9e-30 relative error = 5.2370654266889390464250938330411e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.763 y[1] (analytic) = 17.187579336967457219781873440866 y[1] (numeric) = 17.187579336967457219781873440875 absolute error = 9e-30 relative error = 5.2363394655829075836065167274543e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 3.798e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 4.764 y[1] (analytic) = 17.189962206563189095973678290636 y[1] (numeric) = 17.189962206563189095973678290644 absolute error = 8e-30 relative error = 4.6538787600973150288687545891049e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.765 y[1] (analytic) = 17.192345406517687552568780788434 y[1] (numeric) = 17.192345406517687552568780788442 absolute error = 8e-30 relative error = 4.6532336402264043057151497372933e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.766 y[1] (analytic) = 17.194728936876753213676871252572 y[1] (numeric) = 17.19472893687675321367687125258 absolute error = 8e-30 relative error = 4.6525886097818988022724194642030e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.767 y[1] (analytic) = 17.197112797686193053162455200445 y[1] (numeric) = 17.197112797686193053162455200452 absolute error = 7e-30 relative error = 4.0704507101574769649660138171281e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.768 y[1] (analytic) = 17.199496988991820395525177296006 y[1] (numeric) = 17.199496988991820395525177296014 absolute error = 8e-30 relative error = 4.6512988171225200814283111774077e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.769 y[1] (analytic) = 17.201881510839454916780267344522 y[1] (numeric) = 17.20188151083945491678026734453 absolute error = 8e-30 relative error = 4.6506540548828594731661127644530e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.77 y[1] (analytic) = 17.204266363274922645339108351508 y[1] (numeric) = 17.204266363274922645339108351516 absolute error = 8e-30 relative error = 4.6500093820200293024167810651077e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.771 y[1] (analytic) = 17.206651546344055962889926662786 y[1] (numeric) = 17.206651546344055962889926662794 absolute error = 8e-30 relative error = 4.6493647985216401683629530981166e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.772 y[1] (analytic) = 17.209037060092693605278604202582 y[1] (numeric) = 17.20903706009269360527860420259 absolute error = 8e-30 relative error = 4.6487203043753043876038699605144e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.773 y[1] (analytic) = 17.211422904566680663389612826592 y[1] (numeric) = 17.2114229045666806633896128266 absolute error = 8e-30 relative error = 4.6480758995686359939173088342305e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.774 y[1] (analytic) = 17.213809079811868584027070806943 y[1] (numeric) = 17.213809079811868584027070806952 absolute error = 9e-30 relative error = 5.2283605321004070802742414928420e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.775 y[1] (analytic) = 17.216195585874115170795921465989 y[1] (numeric) = 17.216195585874115170795921465998 absolute error = 9e-30 relative error = 5.2276357776653618482545354106516e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=473.0MB, alloc=4.4MB, time=23.99 TOP MAIN SOLVE Loop x[1] = 4.776 y[1] (analytic) = 17.218582422799284584983233975865 y[1] (numeric) = 17.218582422799284584983233975874 absolute error = 9e-30 relative error = 5.2269111236956513789688250875980e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.777 y[1] (analytic) = 17.22096959063324734643962634075 y[1] (numeric) = 17.220969590633247346439626340758 absolute error = 8e-30 relative error = 4.6454991734909770533715553366474e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.778 y[1] (analytic) = 17.223357089421880334460810578765 y[1] (numeric) = 17.223357089421880334460810578773 absolute error = 8e-30 relative error = 4.6448552151969161863024231642323e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.779 y[1] (analytic) = 17.22574491921106678866926012046 y[1] (numeric) = 17.225744919211066788669260120468 absolute error = 8e-30 relative error = 4.6442113461682429563940837899628e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.78 y[1] (analytic) = 17.228133080046696309895999440822 y[1] (numeric) = 17.22813308004669630989599944083 absolute error = 8e-30 relative error = 4.6435675663925834110109346779450e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.781 y[1] (analytic) = 17.230521571974664861062515941757 y[1] (numeric) = 17.230521571974664861062515941765 absolute error = 8e-30 relative error = 4.6429238758575653127925530798201e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.782 y[1] (analytic) = 17.232910395040874768062794101998 y[1] (numeric) = 17.232910395040874768062794102005 absolute error = 7e-30 relative error = 4.0619952402319658719889342745792e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.783 y[1] (analytic) = 17.235299549291234720645471911378 y[1] (numeric) = 17.235299549291234720645471911385 absolute error = 7e-30 relative error = 4.0614321671524764479379931280888e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.784 y[1] (analytic) = 17.23768903477165977329611960644 y[1] (numeric) = 17.237689034771659773296119606447 absolute error = 7e-30 relative error = 4.0608691721260801701994543630906e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.785 y[1] (analytic) = 17.240078851528071346119640724317 y[1] (numeric) = 17.240078851528071346119640724324 absolute error = 7e-30 relative error = 4.0603062551419573324658681509795e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.786 y[1] (analytic) = 17.242468999606397225722795491859 y[1] (numeric) = 17.242468999606397225722795491867 absolute error = 8e-30 relative error = 4.6397067613591882608635503500436e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.787 y[1] (analytic) = 17.244859479052571566096846566962 y[1] (numeric) = 17.24485947905257156609684656697 absolute error = 8e-30 relative error = 4.6390636060082978865199519314071e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.788 y[1] (analytic) = 17.247250289912534889500327149054 y[1] (numeric) = 17.247250289912534889500327149061 absolute error = 7e-30 relative error = 4.0586179723350548923602501825903e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.789 y[1] (analytic) = 17.249641432232234087341931475711 y[1] (numeric) = 17.249641432232234087341931475718 absolute error = 7e-30 relative error = 4.0580553674118587449700027231901e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.79 y[1] (analytic) = 17.252032906057622421063527722376 y[1] (numeric) = 17.252032906057622421063527722383 absolute error = 7e-30 relative error = 4.0574928404768599992771074102223e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.791 y[1] (analytic) = 17.254424711434659523023293322132 y[1] (numeric) = 17.254424711434659523023293322139 absolute error = 7e-30 relative error = 4.0569303915192479448110381601765e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.792 y[1] (analytic) = 17.256816848409311397378972722523 y[1] (numeric) = 17.256816848409311397378972722531 absolute error = 8e-30 relative error = 4.6358491663179581367772450515772e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.793 y[1] (analytic) = 17.259209317027550420971257596383 y[1] (numeric) = 17.25920931702755042097125759639 absolute error = 7e-30 relative error = 4.0558057274929485603636434301576e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.794 y[1] (analytic) = 17.26160211733535534420728952365 y[1] (numeric) = 17.261602117335355344207289523657 absolute error = 7e-30 relative error = 4.0552435124026473015044662816174e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.795 y[1] (analytic) = 17.26399524937871129194428516116 y[1] (numeric) = 17.263995249378711291944285161167 absolute error = 7e-30 relative error = 4.0546813752465048757010327673201e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.796 y[1] (analytic) = 17.266388713203609764373283917381 y[1] (numeric) = 17.266388713203609764373283917387 absolute error = 6e-30 relative error = 3.4749594137260440542570400167941e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.797 y[1] (analytic) = 17.268782508856048637903018149082 y[1] (numeric) = 17.268782508856048637903018149089 absolute error = 7e-30 relative error = 4.0535573346934851421879899322476e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.798 y[1] (analytic) = 17.271176636382032166043905896934 y[1] (numeric) = 17.27117663638203216604390589694 absolute error = 6e-30 relative error = 3.4739960839500050465016003106763e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.799 y[1] (analytic) = 17.273571095827570980292166177 y[1] (numeric) = 17.273571095827570980292166177006 absolute error = 6e-30 relative error = 3.4735145192121270615742672359051e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.8 y[1] (analytic) = 17.275965887238682091014056845145 y[1] (numeric) = 17.275965887238682091014056845152 absolute error = 7e-30 relative error = 4.0518718581001149642052226597886e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.801 y[1] (analytic) = 17.27836101066138888833023505133 y[1] (numeric) = 17.278361010661388888330235051336 absolute error = 6e-30 relative error = 3.4725515899903802834263660405531e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.802 y[1] (analytic) = 17.280756466141721143000240300792 y[1] (numeric) = 17.280756466141721143000240300798 absolute error = 6e-30 relative error = 3.4720702254880058003050349650107e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.803 y[1] (analytic) = 17.283152253725715007307100139121 y[1] (numeric) = 17.283152253725715007307100139128 absolute error = 7e-30 relative error = 4.0501870823310115320518566152823e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 4.804 y[1] (analytic) = 17.285548373459413015942058478219 y[1] (numeric) = 17.285548373459413015942058478226 absolute error = 7e-30 relative error = 4.0496256460963333806112612316167e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.805 y[1] (analytic) = 17.28794482538886408688942658015 y[1] (numeric) = 17.287944825388864086889426580156 absolute error = 6e-30 relative error = 3.4706265323038707686632982027508e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.806 y[1] (analytic) = 17.290341609560123522311556715885 y[1] (numeric) = 17.290341609560123522311556715891 memory used=476.8MB, alloc=4.4MB, time=24.20 absolute error = 6e-30 relative error = 3.4701454346526607088164780586229e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.807 y[1] (analytic) = 17.292738726019253009433938515955 y[1] (numeric) = 17.292738726019253009433938515961 absolute error = 6e-30 relative error = 3.4696644036911240683081569003804e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.808 y[1] (analytic) = 17.295136174812320621430418030014 y[1] (numeric) = 17.29513617481232062143041803002 absolute error = 6e-30 relative error = 3.4691834394100163361131995765043e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.809 y[1] (analytic) = 17.297533955985400818308539512327 y[1] (numeric) = 17.297533955985400818308539512333 absolute error = 6e-30 relative error = 3.4687025418000942826789945220672e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.81 y[1] (analytic) = 17.299932069584574447795009950198 y[1] (numeric) = 17.299932069584574447795009950204 absolute error = 6e-30 relative error = 3.4682217108521159597478162585744e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.811 y[1] (analytic) = 17.30233051565592874622128635236 y[1] (numeric) = 17.302330515655928746221286352366 absolute error = 6e-30 relative error = 3.4677409465568407001792125178818e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.812 y[1] (analytic) = 17.304729294245557339409285814336 y[1] (numeric) = 17.304729294245557339409285814342 absolute error = 6e-30 relative error = 3.4672602489050291177724159867828e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.813 y[1] (analytic) = 17.307128405399560243557218377797 y[1] (numeric) = 17.307128405399560243557218377803 absolute error = 6e-30 relative error = 3.4667796178874431070887806688474e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.814 y[1] (analytic) = 17.309527849164043866125542700952 y[1] (numeric) = 17.309527849164043866125542700957 absolute error = 5e-30 relative error = 2.8885825445790382027285357167510e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.815 y[1] (analytic) = 17.31192762558512100672304455697 y[1] (numeric) = 17.311927625585121006723044556976 absolute error = 6e-30 relative error = 3.4658185557180017818818067351363e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.816 y[1] (analytic) = 17.314327734708910857993038177501 y[1] (numeric) = 17.314327734708910857993038177507 absolute error = 6e-30 relative error = 3.4653381245476766586940545402351e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.817 y[1] (analytic) = 17.316728176581539006499690458285 y[1] (numeric) = 17.31672817658153900649969045829 absolute error = 5e-30 relative error = 2.8873814666455312412880678250873e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.818 y[1] (analytic) = 17.319128951249137433614468043912 y[1] (numeric) = 17.319128951249137433614468043917 absolute error = 5e-30 relative error = 2.8869812183247104751217122206717e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.819 y[1] (analytic) = 17.321530058757844516402707308764 y[1] (numeric) = 17.321530058757844516402707308769 absolute error = 5e-30 relative error = 2.8865810254862428965848316695555e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.82 y[1] (analytic) = 17.323931499153805028510307251166 y[1] (numeric) = 17.323931499153805028510307251171 absolute error = 5e-30 relative error = 2.8861808881224375514494999094770e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.821 y[1] (analytic) = 17.326333272483170141050545317795 y[1] (numeric) = 17.3263332724831701410505453178 absolute error = 5e-30 relative error = 2.8857808062256045516065390308540e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.822 y[1] (analytic) = 17.328735378792097423491016175391 y[1] (numeric) = 17.328735378792097423491016175396 absolute error = 5e-30 relative error = 2.8853807797880550749177342797979e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.823 y[1] (analytic) = 17.331137818126750844540693446812 y[1] (numeric) = 17.331137818126750844540693446817 absolute error = 5e-30 relative error = 2.8849808088021013650680693470847e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.824 y[1] (analytic) = 17.333540590533300773037114428479 y[1] (numeric) = 17.333540590533300773037114428484 absolute error = 5e-30 relative error = 2.8845808932600567314179821402464e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.825 y[1] (analytic) = 17.335943696057923978833687806266 y[1] (numeric) = 17.335943696057923978833687806271 absolute error = 5e-30 relative error = 2.8841810331542355488556410359408e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.826 y[1] (analytic) = 17.338347134746803633687124386886 y[1] (numeric) = 17.338347134746803633687124386891 absolute error = 5e-30 relative error = 2.8837812284769532576492416097617e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.827 y[1] (analytic) = 17.340750906646129312144990861822 y[1] (numeric) = 17.340750906646129312144990861827 absolute error = 5e-30 relative error = 2.8833814792205263632993238406518e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.828 y[1] (analytic) = 17.343155011802096992433386620871 y[1] (numeric) = 17.343155011802096992433386620876 absolute error = 5e-30 relative error = 2.8829817853772724363911097870778e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.829 y[1] (analytic) = 17.34555945026090905734474363235 y[1] (numeric) = 17.345559450260909057344743632355 absolute error = 5e-30 relative error = 2.8825821469395101124468617321326e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.83 y[1] (analytic) = 17.347964222068774295125749407028 y[1] (numeric) = 17.347964222068774295125749407033 absolute error = 5e-30 relative error = 2.8821825638995590917782607947262e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.831 y[1] (analytic) = 17.350369327271907900365393062858 y[1] (numeric) = 17.350369327271907900365393062863 absolute error = 5e-30 relative error = 2.8817830362497401393388060040262e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.832 y[1] (analytic) = 17.35277476591653147488313450756 y[1] (numeric) = 17.352774765916531474883134507565 absolute error = 5e-30 relative error = 2.8813835639823750845762338343152e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.833 y[1] (analytic) = 17.355180538048873028617196756136 y[1] (numeric) = 17.355180538048873028617196756141 absolute error = 5e-30 relative error = 2.8809841470897868212849581974257e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.834 y[1] (analytic) = 17.357586643715166980512981400385 y[1] (numeric) = 17.35758664371516698051298140039 absolute error = 5e-30 relative error = 2.8805847855642993074585308899179e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.835 y[1] (analytic) = 17.359993082961654159411607247487 y[1] (numeric) = 17.359993082961654159411607247491 absolute error = 4e-30 relative error = 2.3041483835185900521136979937321e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.836 y[1] (analytic) = 17.362399855834581804938572144735 y[1] (numeric) = 17.36239985583458180493857214474 absolute error = 5e-30 relative error = 2.8797862285839276802850237165121e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop memory used=480.6MB, alloc=4.4MB, time=24.41 x[1] = 4.837 y[1] (analytic) = 17.364806962380203568392538007506 y[1] (numeric) = 17.364806962380203568392538007511 absolute error = 5e-30 relative error = 2.8793870331136968025931672016687e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.838 y[1] (analytic) = 17.36721440264477951363423906752 y[1] (numeric) = 17.367214402644779513634239067526 absolute error = 6e-30 relative error = 3.4547854715758477744580037006126e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.839 y[1] (analytic) = 17.369622176674576117975513358511 y[1] (numeric) = 17.369622176674576117975513358517 absolute error = 6e-30 relative error = 3.4543065698097431825128740101348e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.84 y[1] (analytic) = 17.372030284515866273068457456359 y[1] (numeric) = 17.372030284515866273068457456365 absolute error = 6e-30 relative error = 3.4538277344289187953858438954241e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.841 y[1] (analytic) = 17.374438726214929285794704490793 y[1] (numeric) = 17.3744387262149292857947044908 absolute error = 7e-30 relative error = 4.0289071263282010131511102083947e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.842 y[1] (analytic) = 17.376847501818050879154825445753 y[1] (numeric) = 17.37684750181805087915482544576 absolute error = 7e-30 relative error = 4.0283486399173530879899884520022e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.843 y[1] (analytic) = 17.37925661137152319315785376549 y[1] (numeric) = 17.379256611371523193157853765497 absolute error = 7e-30 relative error = 4.0277902309237950932766270581833e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.844 y[1] (analytic) = 17.381666054921644785710933283515 y[1] (numeric) = 17.381666054921644785710933283521 absolute error = 6e-30 relative error = 3.4519130565743961065448690722015e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.845 y[1] (analytic) = 17.384075832514720633509089491485 y[1] (numeric) = 17.384075832514720633509089491492 absolute error = 7e-30 relative error = 4.0266736451456240973003763959348e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.846 y[1] (analytic) = 17.386485944197062132925124165134 y[1] (numeric) = 17.386485944197062132925124165141 absolute error = 7e-30 relative error = 4.0261154683395524159063026237946e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.847 y[1] (analytic) = 17.388896390014987100899633364335 y[1] (numeric) = 17.388896390014987100899633364342 absolute error = 7e-30 relative error = 4.0255573689078533042852247043971e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.848 y[1] (analytic) = 17.391307170014819775831148824421 y[1] (numeric) = 17.391307170014819775831148824427 absolute error = 6e-30 relative error = 3.4499994401484009773647975738659e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.849 y[1] (analytic) = 17.393718284242890818466402755843 y[1] (numeric) = 17.39371828424289081846640275585 absolute error = 7e-30 relative error = 4.0244414021246717884331040123592e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.85 y[1] (analytic) = 17.396129732745537312790716069313 y[1] (numeric) = 17.396129732745537312790716069319 absolute error = 6e-30 relative error = 3.4490430297872079428496236803586e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.851 y[1] (analytic) = 17.398541515569102766918510043493 y[1] (numeric) = 17.398541515569102766918510043499 absolute error = 6e-30 relative error = 3.4485649240373934964187254149499e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 3.798e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 4.852 y[1] (analytic) = 17.400953632759937113983941452398 y[1] (numeric) = 17.400953632759937113983941452403 absolute error = 5e-30 relative error = 2.8734057371354296783184716933977e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.853 y[1] (analytic) = 17.403366084364396713031661169581 y[1] (numeric) = 17.403366084364396713031661169586 absolute error = 5e-30 relative error = 2.8730074261278227293884619237225e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.854 y[1] (analytic) = 17.405778870428844349907696266259 y[1] (numeric) = 17.405778870428844349907696266265 absolute error = 6e-30 relative error = 3.4471310044008227335000645735417e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.855 y[1] (analytic) = 17.408191990999649238150455620471 y[1] (numeric) = 17.408191990999649238150455620477 absolute error = 6e-30 relative error = 3.4466531636956375152399039202964e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.856 y[1] (analytic) = 17.410605446123187019881859054407 y[1] (numeric) = 17.410605446123187019881859054412 absolute error = 5e-30 relative error = 2.8718128243572070168265032392665e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.857 y[1] (analytic) = 17.413019235845839766698590017029 y[1] (numeric) = 17.413019235845839766698590017033 absolute error = 4e-30 relative error = 2.2971317873271156806903577381113e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.858 y[1] (analytic) = 17.415433360213995980563471829116 y[1] (numeric) = 17.41543336021399598056347182912 absolute error = 4e-30 relative error = 2.2968133593150214421653702812625e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.859 y[1] (analytic) = 17.41784781927405059469696750786 y[1] (numeric) = 17.417847819274050594696967507865 absolute error = 5e-30 relative error = 2.8706187193042041374392166294669e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.86 y[1] (analytic) = 17.420262613072404974468803188146 y[1] (numeric) = 17.420262613072404974468803188151 absolute error = 5e-30 relative error = 2.8702207946325281805121547049280e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.861 y[1] (analytic) = 17.422677741655466918289715157651 y[1] (numeric) = 17.422677741655466918289715157655 absolute error = 4e-30 relative error = 2.2958583400968812540804118212399e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.862 y[1] (analytic) = 17.425093205069650658503320522901 y[1] (numeric) = 17.425093205069650658503320522904 absolute error = 3e-30 relative error = 1.7216550664573667966733648438674e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.863 y[1] (analytic) = 17.427509003361376862278111523428 y[1] (numeric) = 17.427509003361376862278111523432 absolute error = 4e-30 relative error = 2.2952218812387297734064974051888e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.864 y[1] (analytic) = 17.429925136577072632499573511174 y[1] (numeric) = 17.429925136577072632499573511177 absolute error = 3e-30 relative error = 1.7211777884831160299827150166292e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.865 y[1] (analytic) = 17.432341604763171508662426612258 y[1] (numeric) = 17.432341604763171508662426612261 absolute error = 3e-30 relative error = 1.7209391991149870215160973600789e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.866 y[1] (analytic) = 17.434758407966113467762991088304 y[1] (numeric) = 17.434758407966113467762991088307 absolute error = 3e-30 relative error = 1.7207006428200750654074199219988e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.867 y[1] (analytic) = 17.43717554623234492519167641443 y[1] (numeric) = 17.437175546232344925191676414433 absolute error = 3e-30 relative error = 1.7204621195937955580141560691243e-29 % Correct digits = 30 h = 0.001 memory used=484.4MB, alloc=4.4MB, time=24.62 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.868 y[1] (analytic) = 17.439593019608318735625594091079 y[1] (numeric) = 17.439593019608318735625594091082 absolute error = 3e-30 relative error = 1.7202236294315645312107452315196e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 4.869 y[1] (analytic) = 17.442010828140494193921294206842 y[1] (numeric) = 17.442010828140494193921294206844 absolute error = 2e-30 relative error = 1.1466567815525324348669984335809e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.87 y[1] (analytic) = 17.444428971875337036007625769413 y[1] (numeric) = 17.444428971875337036007625769416 absolute error = 3e-30 relative error = 1.7197467482809152239275113375317e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.871 y[1] (analytic) = 17.446847450859319439778720821869 y[1] (numeric) = 17.446847450859319439778720821872 absolute error = 3e-30 relative error = 1.7195083572833321839886012451155e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.872 y[1] (analytic) = 17.449266265138920025987102361392 y[1] (numeric) = 17.449266265138920025987102361394 absolute error = 2e-30 relative error = 1.1461799995543120703634937623085e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.873 y[1] (analytic) = 17.451685414760623859136916077636 y[1] (numeric) = 17.451685414760623859136916077639 absolute error = 3e-30 relative error = 1.7190316744207421967355147057707e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.874 y[1] (analytic) = 17.45410489977092244837728592789 y[1] (numeric) = 17.454104899770922448377285927893 absolute error = 3e-30 relative error = 1.7187933825465743006860862977054e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.875 y[1] (analytic) = 17.456524720216313748395793566196 y[1] (numeric) = 17.456524720216313748395793566198 absolute error = 2e-30 relative error = 1.1457034158029232636161159801999e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.876 y[1] (analytic) = 17.458944876143302160312081643607 y[1] (numeric) = 17.458944876143302160312081643609 absolute error = 2e-30 relative error = 1.1455445985930633958596947696327e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.877 y[1] (analytic) = 17.461365367598398532571580996756 y[1] (numeric) = 17.461365367598398532571580996759 absolute error = 3e-30 relative error = 1.7180787050976266433465035553066e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 3.798e+16 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop x[1] = 4.878 y[1] (analytic) = 17.46378619462812016183936174191 y[1] (numeric) = 17.463786194628120161839361741913 absolute error = 3e-30 relative error = 1.7178405453239019262959337448964e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.879 y[1] (analytic) = 17.466207357278990793894108291678 y[1] (numeric) = 17.466207357278990793894108291681 absolute error = 3e-30 relative error = 1.7176024185638439593872979512457e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.88 y[1] (analytic) = 17.468628855597540624522218311573 y[1] (numeric) = 17.468628855597540624522218311576 absolute error = 3e-30 relative error = 1.7173643248128763938306900423488e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.881 y[1] (analytic) = 17.471050689630306300412025633595 y[1] (numeric) = 17.471050689630306300412025633597 absolute error = 2e-30 relative error = 1.1447508427109490101392558021817e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.882 y[1] (analytic) = 17.473472859423830920048147144021 y[1] (numeric) = 17.473472859423830920048147144023 absolute error = 2e-30 relative error = 1.1445921575466068289262638698080e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.883 y[1] (analytic) = 17.475895365024664034605953662605 y[1] (numeric) = 17.475895365024664034605953662607 absolute error = 2e-30 relative error = 1.1444334943791747549577079742046e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.884 y[1] (analytic) = 17.478318206479361648846164830358 y[1] (numeric) = 17.478318206479361648846164830359 absolute error = 1e-30 relative error = 5.7213742660280179017454142600943e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.885 y[1] (analytic) = 17.480741383834486222009568023107 y[1] (numeric) = 17.480741383834486222009568023108 absolute error = 1e-30 relative error = 5.7205811701142225994827709431636e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.886 y[1] (analytic) = 17.483164897136606668711861308045 y[1] (numeric) = 17.483164897136606668711861308046 absolute error = 1e-30 relative error = 5.7197881841392460550918334823437e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.887 y[1] (analytic) = 17.485588746432298359838620460436 y[1] (numeric) = 17.485588746432298359838620460437 absolute error = 1e-30 relative error = 5.7189953080878485684813015765014e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.888 y[1] (analytic) = 17.488012931768143123440390057707 y[1] (numeric) = 17.488012931768143123440390057708 absolute error = 1e-30 relative error = 5.7182025419447925520844726671839e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.889 y[1] (analytic) = 17.490437453190729245627898668107 y[1] (numeric) = 17.490437453190729245627898668109 absolute error = 2e-30 relative error = 1.1434819771389685061132808286599e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.89 y[1] (analytic) = 17.492862310746651471467398151153 y[1] (numeric) = 17.492862310746651471467398151154 absolute error = 1e-30 relative error = 5.7166173393227651405311161389223e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used Radius of convergence = 3.101e+16 Order of pole = 2.404e+29 TOP MAIN SOLVE Loop x[1] = 4.891 y[1] (analytic) = 17.495287504482511005876127087048 y[1] (numeric) = 17.495287504482511005876127087049 absolute error = 1e-30 relative error = 5.7158249028133291302288349185964e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.892 y[1] (analytic) = 17.497713034444915514517898352314 y[1] (numeric) = 17.497713034444915514517898352315 absolute error = 1e-30 relative error = 5.7150325761513053592632768445083e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.893 y[1] (analytic) = 17.500138900680479124698810858814 y[1] (numeric) = 17.500138900680479124698810858815 absolute error = 1e-30 relative error = 5.7142403593214667982989729199082e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.894 y[1] (analytic) = 17.502565103235822426263085473406 y[1] (numeric) = 17.502565103235822426263085473407 absolute error = 1e-30 relative error = 5.7134482523085885287686339031508e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.895 y[1] (analytic) = 17.504991642157572472489025135428 y[1] (numeric) = 17.504991642157572472489025135429 absolute error = 1e-30 relative error = 5.7126562550974477425805559867349e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 5.000e+31 Order of pole = 6.931e+30 TOP MAIN SOLVE Loop x[1] = 4.896 y[1] (analytic) = 17.50741851749236278098509918924 y[1] (numeric) = 17.507418517492362780985099189242 absolute error = 2e-30 relative error = 1.1423728735345647483652134071432e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.897 y[1] (analytic) = 17.509845729286833334586151949047 y[1] (numeric) = 17.509845729286833334586151949049 absolute error = 2e-30 relative error = 1.1422145180038995876974026759743e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop memory used=488.3MB, alloc=4.4MB, time=24.84 x[1] = 4.898 y[1] (analytic) = 17.512273277587630582249735513212 y[1] (numeric) = 17.512273277587630582249735513214 absolute error = 2e-30 relative error = 1.1420561844244507708286574307993e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.899 y[1] (analytic) = 17.514701162441407439952566845307 y[1] (numeric) = 17.514701162441407439952566845309 absolute error = 2e-30 relative error = 1.1418978727931754239360788361416e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.9 y[1] (analytic) = 17.517129383894823291587109139109 y[1] (numeric) = 17.517129383894823291587109139111 absolute error = 2e-30 relative error = 1.1417395831070310949994124780284e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.901 y[1] (analytic) = 17.519557941994543989858277484785 y[1] (numeric) = 17.519557941994543989858277484787 absolute error = 2e-30 relative error = 1.1415813153629757537425781541833e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.902 y[1] (analytic) = 17.521986836787241857180268853493 y[1] (numeric) = 17.521986836787241857180268853495 absolute error = 2e-30 relative error = 1.1414230695579677915752077693499e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.903 y[1] (analytic) = 17.52441606831959568657351641764 y[1] (numeric) = 17.524416068319595686573516417642 absolute error = 2e-30 relative error = 1.1412648456889660215341913346222e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.904 y[1] (analytic) = 17.526845636638290742561768224025 y[1] (numeric) = 17.526845636638290742561768224026 absolute error = 1e-30 relative error = 5.7055332187646483911261553482902e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.905 y[1] (analytic) = 17.529275541790018762069290237114 y[1] (numeric) = 17.529275541790018762069290237116 absolute error = 2e-30 relative error = 1.1409484637468184177644036066539e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.906 y[1] (analytic) = 17.531705783821477955318193769699 y[1] (numeric) = 17.5317057838214779553181937697 absolute error = 1e-30 relative error = 5.7039515283379615885986514747769e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.907 y[1] (analytic) = 17.534136362779373006725887318156 y[1] (numeric) = 17.534136362779373006725887318157 absolute error = 1e-30 relative error = 5.7031608475610593852637780259162e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.908 y[1] (analytic) = 17.53656727871041507580265281959 y[1] (numeric) = 17.536567278710415075802652819591 absolute error = 1e-30 relative error = 5.7023702763881900803006681587516e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.909 y[1] (analytic) = 17.538998531661321798049346348079 y[1] (numeric) = 17.53899853166132179804934634808 absolute error = 1e-30 relative error = 5.7015798148041603815761134632388e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.91 y[1] (analytic) = 17.541430121678817285855223267296 y[1] (numeric) = 17.541430121678817285855223267298 absolute error = 2e-30 relative error = 1.1401578925587558206096880253774e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.911 y[1] (analytic) = 17.543862048809632129395887856752 y[1] (numeric) = 17.543862048809632129395887856753 absolute error = 1e-30 relative error = 5.6999992203418571644755628895425e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.912 y[1] (analytic) = 17.546294313100503397531367428909 y[1] (numeric) = 17.54629431310050339753136742891 absolute error = 1e-30 relative error = 5.6992090874332075911230794676846e-30 % Correct digits = 31 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.913 y[1] (analytic) = 17.548726914598174638704310954444 y[1] (numeric) = 17.548726914598174638704310954446 absolute error = 2e-30 relative error = 1.1396838128105291026944810885238e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.914 y[1] (analytic) = 17.551159853349395881838312212909 y[1] (numeric) = 17.551159853349395881838312212911 absolute error = 2e-30 relative error = 1.1395258300369976333857899213929e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.915 y[1] (analytic) = 17.55359312940092363723635748605 y[1] (numeric) = 17.553593129400923637236357486052 absolute error = 2e-30 relative error = 1.1393678691630109783060659527643e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.916 y[1] (analytic) = 17.556026742799520897479397811062 y[1] (numeric) = 17.556026742799520897479397811064 absolute error = 2e-30 relative error = 1.1392099301855334263309257946040e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.917 y[1] (analytic) = 17.558460693591957138325045811043 y[1] (numeric) = 17.558460693591957138325045811045 absolute error = 2e-30 relative error = 1.1390520131015296871457384477659e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.918 y[1] (analytic) = 17.560894981825008319606397119917 y[1] (numeric) = 17.56089498182500831960639711992 absolute error = 3e-30 relative error = 1.7083411768619473367809390900617e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.919 y[1] (analytic) = 17.563329607545456886130976419108 y[1] (numeric) = 17.563329607545456886130976419111 absolute error = 3e-30 relative error = 1.7081043669027068843782091553864e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.92 y[1] (analytic) = 17.565764570800091768579808103221 y[1] (numeric) = 17.565764570800091768579808103223 absolute error = 2e-30 relative error = 1.1385783931800147541049416373115e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.921 y[1] (analytic) = 17.568199871635708384406611592034 y[1] (numeric) = 17.568199871635708384406611592036 absolute error = 2e-30 relative error = 1.1384205636395617770868329863410e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.922 y[1] (analytic) = 17.57063551009910863873712130607 y[1] (numeric) = 17.570635510099108638737121306072 absolute error = 2e-30 relative error = 1.1382627559774124713904508375895e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.923 y[1] (analytic) = 17.573071486237100925268531323024 y[1] (numeric) = 17.573071486237100925268531323026 absolute error = 2e-30 relative error = 1.1381049701905340703349774168382e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.924 y[1] (analytic) = 17.575507800096500127169064732343 y[1] (numeric) = 17.575507800096500127169064732345 absolute error = 2e-30 relative error = 1.1379472062758942276411890796205e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.925 y[1] (analytic) = 17.577944451724127617977667705246 y[1] (numeric) = 17.577944451724127617977667705248 absolute error = 2e-30 relative error = 1.1377894642304610173731803147641e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.926 y[1] (analytic) = 17.580381441166811262503828297466 y[1] (numeric) = 17.580381441166811262503828297468 absolute error = 2e-30 relative error = 1.1376317440512029338800958261434e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.927 y[1] (analytic) = 17.582818768471385417727520002013 y[1] (numeric) = 17.582818768471385417727520002015 absolute error = 2e-30 relative error = 1.1374740457350888917378706915188e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.928 y[1] (analytic) = 17.585256433684690933699270069256 y[1] (numeric) = 17.585256433684690933699270069259 absolute error = 3e-30 relative error = 1.7059745539186323385364678960196e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 memory used=492.1MB, alloc=4.4MB, time=25.04 TOP MAIN SOLVE Loop x[1] = 4.929 y[1] (analytic) = 17.587694436853575154440352611617 y[1] (numeric) = 17.587694436853575154440352611619 absolute error = 2e-30 relative error = 1.1371587146801706905941881484367e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.93 y[1] (analytic) = 17.590132778024891918843106510168 y[1] (numeric) = 17.59013277802489191884310651017 absolute error = 2e-30 relative error = 1.1370010819353064613543272513444e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.931 y[1] (analytic) = 17.592571457245501561571378140462 y[1] (numeric) = 17.592571457245501561571378140464 absolute error = 2e-30 relative error = 1.1368434710414661328720555703678e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.932 y[1] (analytic) = 17.595010474562270913961088934866 y[1] (numeric) = 17.595010474562270913961088934868 absolute error = 2e-30 relative error = 1.1366858819956207199836450550424e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.933 y[1] (analytic) = 17.597449830022073304920927798732 y[1] (numeric) = 17.597449830022073304920927798735 absolute error = 3e-30 relative error = 1.7047924721921124861041528070082e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.934 y[1] (analytic) = 17.599889523671788561833168397705 y[1] (numeric) = 17.599889523671788561833168397707 absolute error = 2e-30 relative error = 1.1363707694358007996622964021172e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.935 y[1] (analytic) = 17.60232955555830301145461133347 y[1] (numeric) = 17.602329555558303011454611333471 absolute error = 1e-30 relative error = 5.6810662295788521052805065785816e-30 % Correct digits = 31 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.936 y[1] (analytic) = 17.604769925728509480817651225273 y[1] (numeric) = 17.604769925728509480817651225275 absolute error = 2e-30 relative error = 1.1360557442316232155808710348944e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.937 y[1] (analytic) = 17.607210634229307298131468714522 y[1] (numeric) = 17.607210634229307298131468714524 absolute error = 2e-30 relative error = 1.1358982643803322968779292716681e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.938 y[1] (analytic) = 17.60965168110760229368334740978 y[1] (numeric) = 17.609651681107602293683347409782 absolute error = 2e-30 relative error = 1.1357408063588711981750646269343e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.939 y[1] (analytic) = 17.612093066410306800740115789482 y[1] (numeric) = 17.612093066410306800740115789485 absolute error = 3e-30 relative error = 1.7033750552463208083425513806309e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.94 y[1] (analytic) = 17.614534790184339656449714079704 y[1] (numeric) = 17.614534790184339656449714079706 absolute error = 2e-30 relative error = 1.1354259557933346912640755831814e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.941 y[1] (analytic) = 17.616976852476626202742886124289 y[1] (numeric) = 17.616976852476626202742886124291 absolute error = 2e-30 relative error = 1.1352685632432084469204261115229e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.942 y[1] (analytic) = 17.619419253334098287234996264691 y[1] (numeric) = 17.619419253334098287234996264693 absolute error = 2e-30 relative error = 1.1351111925108103501895179145704e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.943 y[1] (analytic) = 17.621861992803694264127971246835 y[1] (numeric) = 17.621861992803694264127971246837 absolute error = 2e-30 relative error = 1.1349538435931160313591802210299e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.944 y[1] (analytic) = 17.624305070932358995112367172353 y[1] (numeric) = 17.624305070932358995112367172355 absolute error = 2e-30 relative error = 1.1347965164871015399548500440245e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.945 y[1] (analytic) = 17.626748487767043850269561511513 y[1] (numeric) = 17.626748487767043850269561511515 absolute error = 2e-30 relative error = 1.1346392111897433446814575362241e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.946 y[1] (analytic) = 17.629192243354706708974070195196 y[1] (numeric) = 17.629192243354706708974070195198 absolute error = 2e-30 relative error = 1.1344819276980183333653194008164e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.947 y[1] (analytic) = 17.631636337742311960795989803244 y[1] (numeric) = 17.631636337742311960795989803246 absolute error = 2e-30 relative error = 1.1343246660089038128960403572034e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.948 y[1] (analytic) = 17.634080770976830506403564866541 y[1] (numeric) = 17.634080770976830506403564866543 absolute error = 2e-30 relative error = 1.1341674261193775091684226603073e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.949 y[1] (analytic) = 17.636525543105239758465880300157 y[1] (numeric) = 17.636525543105239758465880300159 absolute error = 2e-30 relative error = 1.1340102080264175670243836723676e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.95 y[1] (analytic) = 17.638970654174523642555678984911 y[1] (numeric) = 17.638970654174523642555678984913 absolute error = 2e-30 relative error = 1.1338530117270025501948814861157e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.951 y[1] (analytic) = 17.641416104231672598052304514705 y[1] (numeric) = 17.641416104231672598052304514707 absolute error = 2e-30 relative error = 1.1336958372181114412418485982085e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.952 y[1] (analytic) = 17.643861893323683579044769126973 y[1] (numeric) = 17.643861893323683579044769126975 absolute error = 2e-30 relative error = 1.1335386844967236415001336318072e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.953 y[1] (analytic) = 17.646308021497560055234946833611 y[1] (numeric) = 17.646308021497560055234946833613 absolute error = 2e-30 relative error = 1.1333815535598189710194511071834e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.954 y[1] (analytic) = 17.648754488800312012840891769738 y[1] (numeric) = 17.64875448880031201284089176974 absolute error = 2e-30 relative error = 1.1332244444043776685063392592390e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.955 y[1] (analytic) = 17.651201295278955955500281777653 y[1] (numeric) = 17.651201295278955955500281777655 absolute error = 2e-30 relative error = 1.1330673570273803912661259008225e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.956 y[1] (analytic) = 17.653648440980514905173987243344 y[1] (numeric) = 17.653648440980514905173987243347 absolute error = 3e-30 relative error = 1.6993654371387123227173534960928e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.957 y[1] (analytic) = 17.656095925952018403049765202925 y[1] (numeric) = 17.656095925952018403049765202928 absolute error = 3e-30 relative error = 1.6991298713949639517072579278937e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.958 y[1] (analytic) = 17.658543750240502510446078736352 y[1] (numeric) = 17.658543750240502510446078736355 absolute error = 3e-30 relative error = 1.6988943383052983429992603983883e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used Radius of convergence = 22.36 Order of pole = 7.213e+29 TOP MAIN SOLVE Loop memory used=495.9MB, alloc=4.4MB, time=25.24 x[1] = 4.959 y[1] (analytic) = 17.660991913893009809716041665809 y[1] (numeric) = 17.660991913893009809716041665811 absolute error = 2e-30 relative error = 1.1324392252434593288492129064356e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.96 y[1] (analytic) = 17.663440416956589405151488576111 y[1] (numeric) = 17.663440416956589405151488576113 absolute error = 2e-30 relative error = 1.1322822467134066844496683849707e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.961 y[1] (analytic) = 17.665889259478296923887170174524 y[1] (numeric) = 17.665889259478296923887170174527 absolute error = 3e-30 relative error = 1.6981879349155361947210083032807e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.962 y[1] (analytic) = 17.668338441505194516805074007361 y[1] (numeric) = 17.668338441505194516805074007363 absolute error = 2e-30 relative error = 1.1319683549312952508147990022307e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.963 y[1] (analytic) = 17.670787963084350859438870550733 y[1] (numeric) = 17.670787963084350859438870550736 absolute error = 3e-30 relative error = 1.6977171625098060771891441429417e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.964 y[1] (analytic) = 17.67323782426284115287848469286 y[1] (numeric) = 17.673237824262841152878484692863 absolute error = 3e-30 relative error = 1.6974818252496024307481825244107e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.965 y[1] (analytic) = 17.675688025087747124674792625288 y[1] (numeric) = 17.675688025087747124674792625291 absolute error = 3e-30 relative error = 1.6972465206118091970539866771108e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.966 y[1] (analytic) = 17.678138565606157029744444160436 y[1] (numeric) = 17.678138565606157029744444160439 absolute error = 3e-30 relative error = 1.6970112485919042632026467976809e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.967 y[1] (analytic) = 17.680589445865165651274810492838 y[1] (numeric) = 17.680589445865165651274810492841 absolute error = 3e-30 relative error = 1.6967760091853661431447637389429e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.968 y[1] (analytic) = 17.683040665911874301629057421479 y[1] (numeric) = 17.683040665911874301629057421482 absolute error = 3e-30 relative error = 1.6965408023876739775985545457703e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.969 y[1] (analytic) = 17.685492225793390823251344050622 y[1] (numeric) = 17.685492225793390823251344050625 absolute error = 3e-30 relative error = 1.6963056281943075339629700362513e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.97 y[1] (analytic) = 17.687944125556829589572146986516 y[1] (numeric) = 17.687944125556829589572146986519 absolute error = 3e-30 relative error = 1.6960704866007472062308244264784e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.971 y[1] (analytic) = 17.690396365249311505913710047388 y[1] (numeric) = 17.69039636524931150591371004739 absolute error = 2e-30 relative error = 1.1305569184016493432679579981960e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.972 y[1] (analytic) = 17.692848944917964010395619504116 y[1] (numeric) = 17.692848944917964010395619504119 absolute error = 3e-30 relative error = 1.6956003011949696068962858013246e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.973 y[1] (analytic) = 17.695301864609921074840504868998 y[1] (numeric) = 17.695301864609921074840504869001 absolute error = 3e-30 relative error = 1.6953652573737162554671734086300e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.974 y[1] (analytic) = 17.697755124372323205679865250001 y[1] (numeric) = 17.697755124372323205679865250003 absolute error = 2e-30 relative error = 1.1300868307561312400762697928704e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.975 y[1] (analytic) = 17.700208724252317444860021287918 y[1] (numeric) = 17.70020872425231744486002128792 absolute error = 2e-30 relative error = 1.1299301783145966309983177542423e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.976 y[1] (analytic) = 17.70266266429705737074819269384 y[1] (numeric) = 17.702662664297057370748192693842 absolute error = 2e-30 relative error = 1.1297735475881964442325201281502e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.977 y[1] (analytic) = 17.705116944553703099038701404348 y[1] (numeric) = 17.70511694455370309903870140435 absolute error = 2e-30 relative error = 1.1296169385739205315912094547745e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.978 y[1] (analytic) = 17.707571565069421283659300371847 y[1] (numeric) = 17.70757156506942128365930037185 absolute error = 3e-30 relative error = 1.6941905269031387432294111780059e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.979 y[1] (analytic) = 17.71002652589138511767762800746 y[1] (numeric) = 17.710026525891385117677628007463 absolute error = 3e-30 relative error = 1.6939556785045545333069754654783e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.98 y[1] (analytic) = 17.712481827066774334207788293896 y[1] (numeric) = 17.7124818270667743342077882939 absolute error = 4e-30 relative error = 2.2582944835474864303676440112678e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.981 y[1] (analytic) = 17.714937468642775207317056585729 y[1] (numeric) = 17.714937468642775207317056585732 absolute error = 3e-30 relative error = 1.6934860793668068924309934434867e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.982 y[1] (analytic) = 17.717393450666580552932711114492 y[1] (numeric) = 17.717393450666580552932711114494 absolute error = 2e-30 relative error = 1.1288342190790790990802827319912e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.983 y[1] (analytic) = 17.719849773185389729748990216034 y[1] (numeric) = 17.719849773185389729748990216036 absolute error = 2e-30 relative error = 1.1286777402743590821048906868517e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.984 y[1] (analytic) = 17.722306436246408640134175297561 y[1] (numeric) = 17.722306436246408640134175297563 absolute error = 2e-30 relative error = 1.1285212831607039821559880599811e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.985 y[1] (analytic) = 17.724763439896849731037799561789 y[1] (numeric) = 17.724763439896849731037799561791 absolute error = 2e-30 relative error = 1.1283648477351069875565779979588e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.986 y[1] (analytic) = 17.72722078418393199489798250565 y[1] (numeric) = 17.727220784183931994897982505653 absolute error = 3e-30 relative error = 1.6923126509918425551500694372136e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.987 y[1] (analytic) = 17.729678469154880970548890210994 y[1] (numeric) = 17.729678469154880970548890210997 absolute error = 3e-30 relative error = 1.6920780629040932274885761741893e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.988 y[1] (analytic) = 17.732136494856928744128321444706 y[1] (numeric) = 17.73213649485692874412832144471 absolute error = 4e-30 relative error = 2.2557913431132055415888375645463e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.989 y[1] (analytic) = 17.73459486133731394998541958571 y[1] (numeric) = 17.734594861337313949985419585714 absolute error = 4e-30 relative error = 2.2554786457063568320614383190868e-29 % Correct digits = 30 h = 0.001 NO POLE memory used=499.7MB, alloc=4.4MB, time=25.43 TOP MAIN SOLVE Loop x[1] = 4.99 y[1] (analytic) = 17.737053568643281771588510396274 y[1] (numeric) = 17.737053568643281771588510396277 absolute error = 3e-30 relative error = 1.6913744937341765386977636622654e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.991 y[1] (analytic) = 17.739512616822083942433065655083 y[1] (numeric) = 17.739512616822083942433065655087 absolute error = 4e-30 relative error = 2.2548533809248325767531778322385e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.992 y[1] (analytic) = 17.74197200592097874694979266953 y[1] (numeric) = 17.741972005920978746949792669534 absolute error = 4e-30 relative error = 2.2545408135381406170018628148279e-29 % Correct digits = 30 h = 0.001 Real estimate of pole used Radius of convergence = 1.000e+32 Order of pole = 1.386e+31 TOP MAIN SOLVE Loop x[1] = 4.993 y[1] (analytic) = 17.744431735987231021412849684656 y[1] (numeric) = 17.74443173598723102141284968466 absolute error = 4e-30 relative error = 2.2542282894794858812805721082402e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.994 y[1] (analytic) = 17.746891807068112154848187206222 y[1] (numeric) = 17.746891807068112154848187206225 absolute error = 3e-30 relative error = 1.6904368565571466834076866359656e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.995 y[1] (analytic) = 17.749352219210900089942015255342 y[1] (numeric) = 17.749352219210900089942015255346 absolute error = 4e-30 relative error = 2.2536033713222644143131872587504e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.996 y[1] (analytic) = 17.751812972462879323949396572165 y[1] (numeric) = 17.751812972462879323949396572169 absolute error = 4e-30 relative error = 2.2532909772116879305642888863779e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.997 y[1] (analytic) = 17.754274066871340909602965786033 y[1] (numeric) = 17.754274066871340909602965786036 absolute error = 3e-30 relative error = 1.6897339698038468742067511205469e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.998 y[1] (analytic) = 17.756735502483582456021774569611 y[1] (numeric) = 17.756735502483582456021774569614 absolute error = 3e-30 relative error = 1.6894997391724389929859554662292e-29 % Correct digits = 30 h = 0.001 NO POLE TOP MAIN SOLVE Loop x[1] = 4.999 y[1] (analytic) = 17.759197279346908129620262794439 y[1] (numeric) = 17.759197279346908129620262794442 absolute error = 3e-30 relative error = 1.6892655410100408317411453538159e-29 % Correct digits = 30 h = 0.001 NO POLE Finished! diff ( y , x , 1 ) = expt(2.0 , (0.2 * x + 0.3)); Iterations = 4000 Total Elapsed Time = 25 Seconds Elapsed Time(since restart) = 25 Seconds Time to Timeout = 2 Minutes 34 Seconds Percent Done = 100 % > quit memory used=501.0MB, alloc=4.4MB, time=25.49