|\^/| Maple 12 (IBM INTEL LINUX) ._|\| |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2008 \ MAPLE / All rights reserved. Maple is a trademark of <____ ____> Waterloo Maple Inc. | Type ? for help. > #BEGIN OUTFILE1 > # Begin Function number 3 > check_sign := proc( x0 ,xf) > local ret; > if (xf > x0) then # if number 1 > ret := 1.0; > else > ret := -1.0; > fi;# end if 1; > ret;; > end; check_sign := proc(x0, xf) local ret; if x0 < xf then ret := 1.0 else ret := -1.0 end if; ret end proc > # End Function number 3 > # Begin Function number 4 > est_size_answer := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local min_size; > min_size := glob_large_float; > if (omniabs(array_y[1]) < min_size) then # if number 1 > min_size := omniabs(array_y[1]); > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > if (min_size < 1.0) then # if number 1 > min_size := 1.0; > omniout_float(ALWAYS,"min_size",32,min_size,32,""); > fi;# end if 1; > min_size; > end; est_size_answer := proc() local min_size; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; min_size := glob_large_float; if omniabs(array_y[1]) < min_size then min_size := omniabs(array_y[1]); omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; if min_size < 1.0 then min_size := 1.0; omniout_float(ALWAYS, "min_size", 32, min_size, 32, "") end if; min_size end proc > # End Function number 4 > # Begin Function number 5 > test_suggested_h := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local max_value3,hn_div_ho,hn_div_ho_2,hn_div_ho_3,value3,no_terms; > max_value3 := 0.0; > no_terms := glob_max_terms; > hn_div_ho := 0.5; > hn_div_ho_2 := 0.25; > hn_div_ho_3 := 0.125; > omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""); > omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,""); > omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,""); > value3 := omniabs(array_y[no_terms-3] + array_y[no_terms - 2] * hn_div_ho + array_y[no_terms - 1] * hn_div_ho_2 + array_y[no_terms] * hn_div_ho_3); > if (value3 > max_value3) then # if number 1 > max_value3 := value3; > omniout_float(ALWAYS,"value3",32,value3,32,""); > fi;# end if 1; > omniout_float(ALWAYS,"max_value3",32,max_value3,32,""); > max_value3; > end; test_suggested_h := proc() local max_value3, hn_div_ho, hn_div_ho_2, hn_div_ho_3, value3, no_terms; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; max_value3 := 0.; no_terms := glob_max_terms; hn_div_ho := 0.5; hn_div_ho_2 := 0.25; hn_div_ho_3 := 0.125; omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32, ""); omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""); omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""); value3 := omniabs(array_y[no_terms - 3] + array_y[no_terms - 2]*hn_div_ho + array_y[no_terms - 1]*hn_div_ho_2 + array_y[no_terms]*hn_div_ho_3); if max_value3 < value3 then max_value3 := value3; omniout_float(ALWAYS, "value3", 32, value3, 32, "") end if; omniout_float(ALWAYS, "max_value3", 32, max_value3, 32, ""); max_value3 end proc > # End Function number 5 > # Begin Function number 6 > reached_interval := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local ret; > if (glob_check_sign * (array_x[1]) >= glob_check_sign * glob_next_display) then # if number 1 > ret := true; > else > ret := false; > fi;# end if 1; > return(ret); > end; reached_interval := proc() local ret; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if glob_check_sign*glob_next_display <= glob_check_sign*array_x[1] then ret := true else ret := false end if; return ret end proc > # End Function number 6 > # Begin Function number 7 > display_alot := proc(iter) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; > #TOP DISPLAY ALOT > if (reached_interval()) then # if number 1 > if (iter >= 0) then # if number 2 > ind_var := array_x[1]; > omniout_float(ALWAYS,"x[1] ",33,ind_var,20," "); > analytic_val_y := exact_soln_y(ind_var); > omniout_float(ALWAYS,"y[1] (analytic) ",33,analytic_val_y,20," "); > term_no := 1; > numeric_val := array_y[term_no]; > abserr := omniabs(numeric_val - analytic_val_y); > omniout_float(ALWAYS,"y[1] (numeric) ",33,numeric_val,20," "); > if (omniabs(analytic_val_y) <> 0.0) then # if number 3 > relerr := abserr*100.0/omniabs(analytic_val_y); > if (relerr > 0.0000000000000000000000000000000001) then # if number 4 > glob_good_digits := -trunc(log10(relerr)) + 2; > else > glob_good_digits := Digits; > fi;# end if 4; > else > relerr := -1.0 ; > glob_good_digits := -1; > fi;# end if 3; > if (glob_iter = 1) then # if number 3 > array_1st_rel_error[1] := relerr; > else > array_last_rel_error[1] := relerr; > fi;# end if 3; > omniout_float(ALWAYS,"absolute error ",4,abserr,20," "); > omniout_float(ALWAYS,"relative error ",4,relerr,20,"%"); > omniout_int(INFO,"Correct digits ",32,glob_good_digits,4," ") > ; > omniout_float(ALWAYS,"h ",4,glob_h,20," "); > fi;# end if 2; > #BOTTOM DISPLAY ALOT > fi;# end if 1; > end; display_alot := proc(iter) local abserr, analytic_val_y, ind_var, numeric_val, relerr, term_no; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if reached_interval() then if 0 <= iter then ind_var := array_x[1]; omniout_float(ALWAYS, "x[1] ", 33, ind_var, 20, " "); analytic_val_y := exact_soln_y(ind_var); omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20, " "); term_no := 1; numeric_val := array_y[term_no]; abserr := omniabs(numeric_val - analytic_val_y); omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val, 20, " "); if omniabs(analytic_val_y) <> 0. then relerr := abserr*100.0/omniabs(analytic_val_y); if 0.1*10^(-33) < relerr then glob_good_digits := -trunc(log10(relerr)) + 2 else glob_good_digits := Digits end if else relerr := -1.0; glob_good_digits := -1 end if; if glob_iter = 1 then array_1st_rel_error[1] := relerr else array_last_rel_error[1] := relerr end if; omniout_float(ALWAYS, "absolute error ", 4, abserr, 20, " "); omniout_float(ALWAYS, "relative error ", 4, relerr, 20, "%"); omniout_int(INFO, "Correct digits ", 32, glob_good_digits, 4, " "); omniout_float(ALWAYS, "h ", 4, glob_h, 20, " ") end if end if end proc > # End Function number 7 > # Begin Function number 8 > adjust_for_pole := proc(h_param) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local hnew, sz2, tmp; > #TOP ADJUST FOR POLE > hnew := h_param; > glob_normmax := glob_small_float; > if (omniabs(array_y_higher[1,1]) > glob_small_float) then # if number 1 > tmp := omniabs(array_y_higher[1,1]); > if (tmp < glob_normmax) then # if number 2 > glob_normmax := tmp; > fi;# end if 2 > fi;# end if 1; > if (glob_look_poles and (omniabs(array_pole[1]) > glob_small_float) and (array_pole[1] <> glob_large_float)) then # if number 1 > sz2 := array_pole[1]/10.0; > if (sz2 < hnew) then # if number 2 > omniout_float(INFO,"glob_h adjusted to ",20,h_param,12,"due to singularity."); > omniout_str(INFO,"Reached Optimal"); > return(hnew); > fi;# end if 2 > fi;# end if 1; > if ( not glob_reached_optimal_h) then # if number 1 > glob_reached_optimal_h := true; > glob_curr_iter_when_opt := glob_current_iter; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > glob_optimal_start := array_x[1]; > fi;# end if 1; > hnew := sz2; > ;#END block > return(hnew); > #BOTTOM ADJUST FOR POLE > end; adjust_for_pole := proc(h_param) local hnew, sz2, tmp; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; hnew := h_param; glob_normmax := glob_small_float; if glob_small_float < omniabs(array_y_higher[1, 1]) then tmp := omniabs(array_y_higher[1, 1]); if tmp < glob_normmax then glob_normmax := tmp end if end if; if glob_look_poles and glob_small_float < omniabs(array_pole[1]) and array_pole[1] <> glob_large_float then sz2 := array_pole[1]/10.0; if sz2 < hnew then omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12, "due to singularity."); omniout_str(INFO, "Reached Optimal"); return hnew end if end if; if not glob_reached_optimal_h then glob_reached_optimal_h := true; glob_curr_iter_when_opt := glob_current_iter; glob_optimal_clock_start_sec := elapsed_time_seconds(); glob_optimal_start := array_x[1] end if; hnew := sz2; return hnew end proc > # End Function number 8 > # Begin Function number 9 > prog_report := proc(x_start,x_end) > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; > #TOP PROGRESS REPORT > clock_sec1 := elapsed_time_seconds(); > total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); > glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); > left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); > expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h) ,convfloat( clock_sec1) - convfloat(glob_orig_start_sec)); > opt_clock_sec := convfloat( clock_sec1) - convfloat(glob_optimal_clock_start_sec); > glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) +convfloat( glob_h) ,convfloat( opt_clock_sec)); > glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; > percent_done := comp_percent(convfloat(x_end),convfloat(x_start),convfloat(array_x[1]) + convfloat(glob_h)); > glob_percent_done := percent_done; > omniout_str_noeol(INFO,"Total Elapsed Time "); > omniout_timestr(convfloat(total_clock_sec)); > omniout_str_noeol(INFO,"Elapsed Time(since restart) "); > omniout_timestr(convfloat(glob_clock_sec)); > if (convfloat(percent_done) < convfloat(100.0)) then # if number 1 > omniout_str_noeol(INFO,"Expected Time Remaining "); > omniout_timestr(convfloat(expect_sec)); > omniout_str_noeol(INFO,"Optimized Time Remaining "); > omniout_timestr(convfloat(glob_optimal_expect_sec)); > omniout_str_noeol(INFO,"Expected Total Time "); > omniout_timestr(convfloat(glob_total_exp_sec)); > fi;# end if 1; > omniout_str_noeol(INFO,"Time to Timeout "); > omniout_timestr(convfloat(left_sec)); > omniout_float(INFO, "Percent Done ",33,percent_done,4,"%"); > #BOTTOM PROGRESS REPORT > end; prog_report := proc(x_start, x_end) local clock_sec, opt_clock_sec, clock_sec1, expect_sec, left_sec, percent_done, total_clock_sec; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; clock_sec1 := elapsed_time_seconds(); total_clock_sec := convfloat(clock_sec1) - convfloat(glob_orig_start_sec); glob_clock_sec := convfloat(clock_sec1) - convfloat(glob_clock_start_sec); left_sec := convfloat(glob_max_sec) + convfloat(glob_orig_start_sec) - convfloat(clock_sec1); expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(clock_sec1) - convfloat(glob_orig_start_sec)); opt_clock_sec := convfloat(clock_sec1) - convfloat(glob_optimal_clock_start_sec); glob_optimal_expect_sec := comp_expect_sec(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h), convfloat(opt_clock_sec)); glob_total_exp_sec := glob_optimal_expect_sec + total_clock_sec; percent_done := comp_percent(convfloat(x_end), convfloat(x_start), convfloat(array_x[1]) + convfloat(glob_h)); glob_percent_done := percent_done; omniout_str_noeol(INFO, "Total Elapsed Time "); omniout_timestr(convfloat(total_clock_sec)); omniout_str_noeol(INFO, "Elapsed Time(since restart) "); omniout_timestr(convfloat(glob_clock_sec)); if convfloat(percent_done) < convfloat(100.0) then omniout_str_noeol(INFO, "Expected Time Remaining "); omniout_timestr(convfloat(expect_sec)); omniout_str_noeol(INFO, "Optimized Time Remaining "); omniout_timestr(convfloat(glob_optimal_expect_sec)); omniout_str_noeol(INFO, "Expected Total Time "); omniout_timestr(convfloat(glob_total_exp_sec)) end if; omniout_str_noeol(INFO, "Time to Timeout "); omniout_timestr(convfloat(left_sec)); omniout_float(INFO, "Percent Done ", 33, percent_done, 4, "%") end proc > # End Function number 9 > # Begin Function number 10 > check_for_pole := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local cnt, dr1, dr2, ds1, ds2, hdrc,hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; > #TOP CHECK FOR POLE > #IN RADII REAL EQ = 1 > #Computes radius of convergence and r_order of pole from 3 adjacent Taylor series terms. EQUATUON NUMBER 1 > #Applies to pole of arbitrary r_order on the real axis, > #Due to Prof. George Corliss. > n := glob_max_terms; > m := n - 1 - 1; > while ((m >= 10) and ((omniabs(array_y_higher[1,m]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-1]) < glob_small_float * glob_small_float) or (omniabs(array_y_higher[1,m-2]) < glob_small_float * glob_small_float ))) do # do number 2 > m := m - 1; > od;# end do number 2; > if (m > 10) then # if number 1 > rm0 := array_y_higher[1,m]/array_y_higher[1,m-1]; > rm1 := array_y_higher[1,m-1]/array_y_higher[1,m-2]; > hdrc := convfloat(m)*rm0-convfloat(m-1)*rm1; > if (omniabs(hdrc) > glob_small_float * glob_small_float) then # if number 2 > rcs := glob_h/hdrc; > ord_no := (rm1*convfloat((m-2)*(m-2))-rm0*convfloat(m-3))/hdrc; > array_real_pole[1,1] := rcs; > array_real_pole[1,2] := ord_no; > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 2 > else > array_real_pole[1,1] := glob_large_float; > array_real_pole[1,2] := glob_large_float; > fi;# end if 1; > #BOTTOM RADII REAL EQ = 1 > #TOP RADII COMPLEX EQ = 1 > #Computes radius of convergence for complex conjugate pair of poles. > #from 6 adjacent Taylor series terms > #Also computes r_order of poles. > #Due to Manuel Prieto. > #With a correction by Dennis J. Darland > n := glob_max_terms - 1 - 1; > cnt := 0; > while ((cnt < 5) and (n >= 10)) do # do number 2 > if (omniabs(array_y_higher[1,n]) > glob_small_float) then # if number 1 > cnt := cnt + 1; > else > cnt := 0; > fi;# end if 1; > n := n - 1; > od;# end do number 2; > m := n + cnt; > if (m <= 10) then # if number 1 > rad_c := glob_large_float; > ord_no := glob_large_float; > elif > (((omniabs(array_y_higher[1,m]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-1]) >=(glob_large_float)) or (omniabs(array_y_higher[1,m-2]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-3]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-4]) >= (glob_large_float)) or (omniabs(array_y_higher[1,m-5]) >= (glob_large_float))) or ((omniabs(array_y_higher[1,m]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-1]) <=(glob_small_float)) or (omniabs(array_y_higher[1,m-2]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-3]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-4]) <= (glob_small_float)) or (omniabs(array_y_higher[1,m-5]) <= (glob_small_float)))) then # if number 2 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > rm0 := (array_y_higher[1,m])/(array_y_higher[1,m-1]); > rm1 := (array_y_higher[1,m-1])/(array_y_higher[1,m-2]); > rm2 := (array_y_higher[1,m-2])/(array_y_higher[1,m-3]); > rm3 := (array_y_higher[1,m-3])/(array_y_higher[1,m-4]); > rm4 := (array_y_higher[1,m-4])/(array_y_higher[1,m-5]); > nr1 := convfloat(m-1)*rm0 - 2.0*convfloat(m-2)*rm1 + convfloat(m-3)*rm2; > nr2 := convfloat(m-2)*rm1 - 2.0*convfloat(m-3)*rm2 + convfloat(m-4)*rm3; > dr1 := (-1.0)/rm1 + 2.0/rm2 - 1.0/rm3; > dr2 := (-1.0)/rm2 + 2.0/rm3 - 1.0/rm4; > ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; > ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; > if ((omniabs(nr1 * dr2 - nr2 * dr1) <= glob_small_float) or (omniabs(dr1) <= glob_small_float)) then # if number 3 > rad_c := glob_large_float; > ord_no := glob_large_float; > else > if (omniabs(nr1*dr2 - nr2 * dr1) > glob_small_float) then # if number 4 > rcs := ((ds1*dr2 - ds2*dr1 +dr1*dr2)/(nr1*dr2 - nr2 * dr1)); > #(Manuels) rcs := (ds1*dr2 - ds2*dr1)/(nr1*dr2 - nr2 * dr1) > ord_no := (rcs*nr1 - ds1)/(2.0*dr1) -convfloat(m)/2.0; > if (omniabs(rcs) > glob_small_float) then # if number 5 > if (rcs > 0.0) then # if number 6 > rad_c := sqrt(rcs) * omniabs(glob_h); > else > rad_c := glob_large_float; > fi;# end if 6 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 5 > else > rad_c := glob_large_float; > ord_no := glob_large_float; > fi;# end if 4 > fi;# end if 3; > array_complex_pole[1,1] := rad_c; > array_complex_pole[1,2] := ord_no; > fi;# end if 2; > #BOTTOM RADII COMPLEX EQ = 1 > found_sing := 0; > #TOP WHICH RADII EQ = 1 > if (1 <> found_sing and ((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float)) and ((array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 2; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and ((array_real_pole[1,1] <> glob_large_float) and (array_real_pole[1,2] <> glob_large_float) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float) or (array_complex_pole[1,1] <= 0.0 ) or (array_complex_pole[1,2] <= 0.0)))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and (((array_real_pole[1,1] = glob_large_float) or (array_real_pole[1,2] = glob_large_float)) and ((array_complex_pole[1,1] = glob_large_float) or (array_complex_pole[1,2] = glob_large_float)))) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > found_sing := 1; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and ((array_real_pole[1,1] < array_complex_pole[1,1]) and (array_real_pole[1,1] > 0.0) and (array_real_pole[1,2] > -1.0 * glob_smallish_float))) then # if number 2 > array_poles[1,1] := array_real_pole[1,1]; > array_poles[1,2] := array_real_pole[1,2]; > found_sing := 1; > array_type_pole[1] := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Real estimate of pole used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing and ((array_complex_pole[1,1] <> glob_large_float) and (array_complex_pole[1,2] <> glob_large_float) and (array_complex_pole[1,1] > 0.0) and (array_complex_pole[1,2] > 0.0))) then # if number 2 > array_poles[1,1] := array_complex_pole[1,1]; > array_poles[1,2] := array_complex_pole[1,2]; > array_type_pole[1] := 2; > found_sing := 1; > if (glob_display_flag) then # if number 3 > if (reached_interval()) then # if number 4 > omniout_str(ALWAYS,"Complex estimate of poles used for equation 1"); > fi;# end if 4; > fi;# end if 3; > fi;# end if 2; > if (1 <> found_sing ) then # if number 2 > array_poles[1,1] := glob_large_float; > array_poles[1,2] := glob_large_float; > array_type_pole[1] := 3; > if (reached_interval()) then # if number 3 > omniout_str(ALWAYS,"NO POLE for equation 1"); > fi;# end if 3; > fi;# end if 2; > #BOTTOM WHICH RADII EQ = 1 > array_pole[1] := glob_large_float; > array_pole[2] := glob_large_float; > #TOP WHICH RADIUS EQ = 1 > if (array_pole[1] > array_poles[1,1]) then # if number 2 > array_pole[1] := array_poles[1,1]; > array_pole[2] := array_poles[1,2]; > fi;# end if 2; > #BOTTOM WHICH RADIUS EQ = 1 > #START ADJUST ALL SERIES > if (array_pole[1] * glob_ratio_of_radius < omniabs(glob_h)) then # if number 2 > h_new := array_pole[1] * glob_ratio_of_radius; > term := 1; > ratio := 1.0; > while (term <= glob_max_terms) do # do number 2 > array_y[term] := array_y[term]* ratio; > array_y_higher[1,term] := array_y_higher[1,term]* ratio; > array_x[term] := array_x[term]* ratio; > ratio := ratio * h_new / omniabs(glob_h); > term := term + 1; > od;# end do number 2; > glob_h := h_new; > fi;# end if 2; > #BOTTOM ADJUST ALL SERIES > if (reached_interval()) then # if number 2 > display_pole(); > fi;# end if 2 > end; check_for_pole := proc() local cnt, dr1, dr2, ds1, ds2, hdrc, hdrc_BBB, m, n, nr1, nr2, ord_no, rad_c, rcs, rm0, rm1, rm2, rm3, rm4, found_sing, h_new, ratio, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; n := glob_max_terms; m := n - 2; while 10 <= m and ( omniabs(array_y_higher[1, m]) < glob_small_float*glob_small_float or omniabs(array_y_higher[1, m - 1]) < glob_small_float*glob_small_float or omniabs(array_y_higher[1, m - 2]) < glob_small_float*glob_small_float) do m := m - 1 end do; if 10 < m then rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; hdrc := convfloat(m)*rm0 - convfloat(m - 1)*rm1; if glob_small_float*glob_small_float < omniabs(hdrc) then rcs := glob_h/hdrc; ord_no := ( rm1*convfloat((m - 2)*(m - 2)) - rm0*convfloat(m - 3))/hdrc ; array_real_pole[1, 1] := rcs; array_real_pole[1, 2] := ord_no else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if else array_real_pole[1, 1] := glob_large_float; array_real_pole[1, 2] := glob_large_float end if; n := glob_max_terms - 2; cnt := 0; while cnt < 5 and 10 <= n do if glob_small_float < omniabs(array_y_higher[1, n]) then cnt := cnt + 1 else cnt := 0 end if; n := n - 1 end do; m := n + cnt; if m <= 10 then rad_c := glob_large_float; ord_no := glob_large_float elif glob_large_float <= omniabs(array_y_higher[1, m]) or glob_large_float <= omniabs(array_y_higher[1, m - 1]) or glob_large_float <= omniabs(array_y_higher[1, m - 2]) or glob_large_float <= omniabs(array_y_higher[1, m - 3]) or glob_large_float <= omniabs(array_y_higher[1, m - 4]) or glob_large_float <= omniabs(array_y_higher[1, m - 5]) or omniabs(array_y_higher[1, m]) <= glob_small_float or omniabs(array_y_higher[1, m - 1]) <= glob_small_float or omniabs(array_y_higher[1, m - 2]) <= glob_small_float or omniabs(array_y_higher[1, m - 3]) <= glob_small_float or omniabs(array_y_higher[1, m - 4]) <= glob_small_float or omniabs(array_y_higher[1, m - 5]) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else rm0 := array_y_higher[1, m]/array_y_higher[1, m - 1]; rm1 := array_y_higher[1, m - 1]/array_y_higher[1, m - 2]; rm2 := array_y_higher[1, m - 2]/array_y_higher[1, m - 3]; rm3 := array_y_higher[1, m - 3]/array_y_higher[1, m - 4]; rm4 := array_y_higher[1, m - 4]/array_y_higher[1, m - 5]; nr1 := convfloat(m - 1)*rm0 - 2.0*convfloat(m - 2)*rm1 + convfloat(m - 3)*rm2; nr2 := convfloat(m - 2)*rm1 - 2.0*convfloat(m - 3)*rm2 + convfloat(m - 4)*rm3; dr1 := (-1)*(1.0)/rm1 + 2.0/rm2 - 1.0/rm3; dr2 := (-1)*(1.0)/rm2 + 2.0/rm3 - 1.0/rm4; ds1 := 3.0/rm1 - 8.0/rm2 + 5.0/rm3; ds2 := 3.0/rm2 - 8.0/rm3 + 5.0/rm4; if omniabs(nr1*dr2 - nr2*dr1) <= glob_small_float or omniabs(dr1) <= glob_small_float then rad_c := glob_large_float; ord_no := glob_large_float else if glob_small_float < omniabs(nr1*dr2 - nr2*dr1) then rcs := (ds1*dr2 - ds2*dr1 + dr1*dr2)/(nr1*dr2 - nr2*dr1); ord_no := (rcs*nr1 - ds1)/(2.0*dr1) - convfloat(m)/2.0; if glob_small_float < omniabs(rcs) then if 0. < rcs then rad_c := sqrt(rcs)*omniabs(glob_h) else rad_c := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if else rad_c := glob_large_float; ord_no := glob_large_float end if end if; array_complex_pole[1, 1] := rad_c; array_complex_pole[1, 2] := ord_no end if; found_sing := 0; if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; found_sing := 1; array_type_pole[1] := 2; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing and array_real_pole[1, 1] <> glob_large_float and array_real_pole[1, 2] <> glob_large_float and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < array_real_pole[1, 2] and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float or array_complex_pole[1, 1] <= 0. or array_complex_pole[1, 2] <= 0.) then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing and (array_real_pole[1, 1] = glob_large_float or array_real_pole[1, 2] = glob_large_float) and ( array_complex_pole[1, 1] = glob_large_float or array_complex_pole[1, 2] = glob_large_float) then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; found_sing := 1; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; if 1 <> found_sing and array_real_pole[1, 1] < array_complex_pole[1, 1] and 0. < array_real_pole[1, 1] and -1.0*glob_smallish_float < array_real_pole[1, 2] then array_poles[1, 1] := array_real_pole[1, 1]; array_poles[1, 2] := array_real_pole[1, 2]; found_sing := 1; array_type_pole[1] := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Real estimate of pole used for equation 1") end if end if end if; if 1 <> found_sing and array_complex_pole[1, 1] <> glob_large_float and array_complex_pole[1, 2] <> glob_large_float and 0. < array_complex_pole[1, 1] and 0. < array_complex_pole[1, 2] then array_poles[1, 1] := array_complex_pole[1, 1]; array_poles[1, 2] := array_complex_pole[1, 2]; array_type_pole[1] := 2; found_sing := 1; if glob_display_flag then if reached_interval() then omniout_str(ALWAYS, "Complex estimate of poles used for equation 1") end if end if end if; if 1 <> found_sing then array_poles[1, 1] := glob_large_float; array_poles[1, 2] := glob_large_float; array_type_pole[1] := 3; if reached_interval() then omniout_str(ALWAYS, "NO POLE for equation 1") end if end if; array_pole[1] := glob_large_float; array_pole[2] := glob_large_float; if array_poles[1, 1] < array_pole[1] then array_pole[1] := array_poles[1, 1]; array_pole[2] := array_poles[1, 2] end if; if array_pole[1]*glob_ratio_of_radius < omniabs(glob_h) then h_new := array_pole[1]*glob_ratio_of_radius; term := 1; ratio := 1.0; while term <= glob_max_terms do array_y[term] := array_y[term]*ratio; array_y_higher[1, term] := array_y_higher[1, term]*ratio; array_x[term] := array_x[term]*ratio; ratio := ratio*h_new/omniabs(glob_h); term := term + 1 end do; glob_h := h_new end if; if reached_interval() then display_pole() end if end proc > # End Function number 10 > # Begin Function number 11 > get_norms := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local iii; > if ( not glob_initial_pass) then # if number 2 > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > array_norms[iii] := 0.0; > iii := iii + 1; > od;# end do number 2; > #TOP GET NORMS > iii := 1; > while (iii <= glob_max_terms) do # do number 2 > if (omniabs(array_y[iii]) > array_norms[iii]) then # if number 3 > array_norms[iii] := omniabs(array_y[iii]); > fi;# end if 3; > iii := iii + 1; > od;# end do number 2 > #BOTTOM GET NORMS > ; > fi;# end if 2; > end; get_norms := proc() local iii; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; if not glob_initial_pass then iii := 1; while iii <= glob_max_terms do array_norms[iii] := 0.; iii := iii + 1 end do; iii := 1; while iii <= glob_max_terms do if array_norms[iii] < omniabs(array_y[iii]) then array_norms[iii] := omniabs(array_y[iii]) end if; iii := iii + 1 end do end if end proc > # End Function number 11 > # Begin Function number 12 > atomall := proc() > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > array_const_0D2, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > local kkk, order_d, adj2, adj3 , temporary, term; > #TOP ATOMALL > #END OUTFILE1 > #BEGIN ATOMHDR1 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp1[1] := array_const_0D1[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; > #emit pre mult CONST - LINEAR $eq_no = 1 i = 1 > array_tmp3[1] := array_const_0D2[1] * array_x[1]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 1 > array_tmp4[1] := array_tmp3[1] + array_const_0D3[1]; > #emit pre div LINEAR - LINEAR $eq_no = 1 i = 1 > array_tmp5[1] := array_tmp2[1] / array_tmp4[1]; > #emit pre add CONST FULL $eq_no = 1 i = 1 > array_tmp6[1] := array_const_0D0[1] + array_tmp5[1]; > #emit pre assign xxx $eq_no = 1 i = 1 $min_hdrs = 5 > if ( not array_y_set_initial[1,2]) then # if number 1 > if (1 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[1] * expt(glob_h , (1)) * factorial_3(0,1); > array_y[2] := temporary; > array_y_higher[1,2] := temporary; > temporary := temporary / glob_h * (1.0); > array_y_higher[2,1] := temporary; > fi;# end if 2; > fi;# end if 1; > kkk := 2; > #END ATOMHDR1 > #BEGIN ATOMHDR2 > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp1[2] := array_const_0D1[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp2[2] := array_tmp1[2]; > #emit pre mult CONST - LINEAR $eq_no = 1 i = 2 > array_tmp3[2] := array_const_0D2[1] * array_x[2]; > #emit pre add LINEAR - CONST $eq_no = 1 i = 2 > array_tmp4[2] := array_tmp3[2]; > #emit pre div LINEAR - LINEAR $eq_no = 1 i = 2 > array_tmp5[2] := (array_tmp2[2] - array_tmp5[1] * array_tmp4[2]) / array_tmp4[1]; > #emit pre add CONST FULL $eq_no = 1 i = 2 > array_tmp6[2] := array_tmp5[2]; > #emit pre assign xxx $eq_no = 1 i = 2 $min_hdrs = 5 > if ( not array_y_set_initial[1,3]) then # if number 1 > if (2 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[2] * 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 div LINEAR - LINEAR $eq_no = 1 i = 3 > array_tmp5[3] := - array_tmp5[2] * array_tmp4[2] / array_tmp4[1]; > #emit pre add CONST FULL $eq_no = 1 i = 3 > array_tmp6[3] := array_tmp5[3]; > #emit pre assign xxx $eq_no = 1 i = 3 $min_hdrs = 5 > if ( not array_y_set_initial[1,4]) then # if number 1 > if (3 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[3] * 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 div LINEAR - LINEAR $eq_no = 1 i = 4 > array_tmp5[4] := - array_tmp5[3] * array_tmp4[2] / array_tmp4[1]; > #emit pre add CONST FULL $eq_no = 1 i = 4 > array_tmp6[4] := array_tmp5[4]; > #emit pre assign xxx $eq_no = 1 i = 4 $min_hdrs = 5 > if ( not array_y_set_initial[1,5]) then # if number 1 > if (4 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[4] * 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 div LINEAR - LINEAR $eq_no = 1 i = 5 > array_tmp5[5] := - array_tmp5[4] * array_tmp4[2] / array_tmp4[1]; > #emit pre add CONST FULL $eq_no = 1 i = 5 > array_tmp6[5] := array_tmp5[5]; > #emit pre assign xxx $eq_no = 1 i = 5 $min_hdrs = 5 > if ( not array_y_set_initial[1,6]) then # if number 1 > if (5 <= glob_max_terms) then # if number 2 > temporary := array_tmp6[5] * 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 div LINEAR - LINEAR (NOP) $eq_no = 1 i = 1 > array_tmp5[kkk] := - array_tmp5[kkk-1] * array_tmp4[2] / array_tmp4[1]; > #emit NOT FULL - FULL add $eq_no = 1 > array_tmp6[kkk] := array_tmp5[kkk]; > #emit assign $eq_no = 1 > order_d := 1; > if (kkk + order_d + 1 <= glob_max_terms) then # if number 1 > if ( not array_y_set_initial[1,kkk + order_d]) then # if number 2 > temporary := array_tmp6[kkk] * expt(glob_h , (order_d)) * factorial_3((kkk - 1),(kkk + order_d - 1)); > array_y[kkk + order_d] := temporary; > array_y_higher[1,kkk + order_d] := temporary; > term := kkk + order_d - 1; > adj2 := kkk + order_d - 1; > adj3 := 2; > while (term >= 1) do # do number 2 > if (adj3 <= order_d + 1) then # if number 3 > if (adj2 > 0) then # if number 4 > temporary := temporary / glob_h * convfp(adj2); > else > temporary := temporary; > fi;# end if 4; > array_y_higher[adj3,term] := temporary; > fi;# end if 3; > term := term - 1; > adj2 := adj2 - 1; > adj3 := adj3 + 1; > od;# end do number 2 > fi;# end if 2 > fi;# end if 1; > kkk := kkk + 1; > od;# end do number 1; > #BOTTOM ATOMALL > #END OUTFILE4 > #BEGIN OUTFILE5 > #BOTTOM ATOMALL ??? > end; atomall := proc() local kkk, order_d, adj2, adj3, temporary, term; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; array_tmp1[1] := array_const_0D1[1]*array_x[1]; array_tmp2[1] := array_tmp1[1] + array_const_0D2[1]; array_tmp3[1] := array_const_0D2[1]*array_x[1]; array_tmp4[1] := array_tmp3[1] + array_const_0D3[1]; array_tmp5[1] := array_tmp2[1]/array_tmp4[1]; array_tmp6[1] := array_const_0D0[1] + array_tmp5[1]; if not array_y_set_initial[1, 2] then if 1 <= glob_max_terms then temporary := array_tmp6[1]*expt(glob_h, 1)*factorial_3(0, 1); array_y[2] := temporary; array_y_higher[1, 2] := temporary; temporary := temporary*1.0/glob_h; array_y_higher[2, 1] := temporary end if end if; kkk := 2; array_tmp1[2] := array_const_0D1[1]*array_x[2]; array_tmp2[2] := array_tmp1[2]; array_tmp3[2] := array_const_0D2[1]*array_x[2]; array_tmp4[2] := array_tmp3[2]; array_tmp5[2] := (array_tmp2[2] - array_tmp5[1]*array_tmp4[2])/array_tmp4[1]; array_tmp6[2] := array_tmp5[2]; if not array_y_set_initial[1, 3] then if 2 <= glob_max_terms then temporary := array_tmp6[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_tmp5[3] := -array_tmp5[2]*array_tmp4[2]/array_tmp4[1]; array_tmp6[3] := array_tmp5[3]; if not array_y_set_initial[1, 4] then if 3 <= glob_max_terms then temporary := array_tmp6[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_tmp5[4] := -array_tmp5[3]*array_tmp4[2]/array_tmp4[1]; array_tmp6[4] := array_tmp5[4]; if not array_y_set_initial[1, 5] then if 4 <= glob_max_terms then temporary := array_tmp6[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_tmp5[5] := -array_tmp5[4]*array_tmp4[2]/array_tmp4[1]; array_tmp6[5] := array_tmp5[5]; if not array_y_set_initial[1, 6] then if 5 <= glob_max_terms then temporary := array_tmp6[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_tmp5[kkk] := -array_tmp5[kkk - 1]*array_tmp4[2]/array_tmp4[1] ; array_tmp6[kkk] := array_tmp5[kkk]; order_d := 1; if kkk + order_d + 1 <= glob_max_terms then if not array_y_set_initial[1, kkk + order_d] then temporary := array_tmp6[kkk]*expt(glob_h, order_d)* factorial_3(kkk - 1, kkk + order_d - 1); array_y[kkk + order_d] := temporary; array_y_higher[1, kkk + order_d] := temporary; term := kkk + order_d - 1; adj2 := kkk + order_d - 1; adj3 := 2; while 1 <= term do if adj3 <= order_d + 1 then if 0 < adj2 then temporary := temporary*convfp(adj2)/glob_h else temporary := temporary end if; array_y_higher[adj3, term] := temporary end if; term := term - 1; adj2 := adj2 - 1; adj3 := adj3 + 1 end do end if end if; kkk := kkk + 1 end do end proc > # End Function number 12 > #BEGIN ATS LIBRARY BLOCK > # Begin Function number 2 > omniout_str := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s\n",str); > fi;# end if 1; > end; omniout_str := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s\n", str) end if end proc > # End Function number 2 > # Begin Function number 3 > omniout_str_noeol := proc(iolevel,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > printf("%s",str); > fi;# end if 1; > end; omniout_str_noeol := proc(iolevel, str) global glob_iolevel; if iolevel <= glob_iolevel then printf("%s", str) end if end proc > # End Function number 3 > # Begin Function number 4 > omniout_labstr := proc(iolevel,label,str) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > print(label,str); > fi;# end if 1; > end; omniout_labstr := proc(iolevel, label, str) global glob_iolevel; if iolevel <= glob_iolevel then print(label, str) end if end proc > # End Function number 4 > # Begin Function number 5 > omniout_float := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 1 > if vallen = 4 then > printf("%-30s = %-42.4g %s \n",prelabel,value, postlabel); > else > printf("%-30s = %-42.32g %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_float := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 4 then printf("%-30s = %-42.4g %s \n", prelabel, value, postlabel) else printf("%-30s = %-42.32g %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 5 > # Begin Function number 6 > omniout_int := proc(iolevel,prelabel,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > if vallen = 5 then # if number 1 > printf("%-30s = %-32d %s\n",prelabel,value, postlabel); > else > printf("%-30s = %-32d %s \n",prelabel,value, postlabel); > fi;# end if 1; > fi;# end if 0; > end; omniout_int := proc(iolevel, prelabel, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then if vallen = 5 then printf("%-30s = %-32d %s\n", prelabel, value, postlabel) else printf("%-30s = %-32d %s \n", prelabel, value, postlabel) end if end if end proc > # End Function number 6 > # Begin Function number 7 > omniout_float_arr := proc(iolevel,prelabel,elemnt,prelen,value,vallen,postlabel) > global glob_iolevel; > if (glob_iolevel >= iolevel) then # if number 0 > print(prelabel,"[",elemnt,"]",value, postlabel); > fi;# end if 0; > end; omniout_float_arr := proc( iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) global glob_iolevel; if iolevel <= glob_iolevel then print(prelabel, "[", elemnt, "]", value, postlabel) end if end proc > # End Function number 7 > # Begin Function number 8 > dump_series := proc(iolevel,dump_label,series_name,arr_series,numb) > global glob_iolevel; > local i; > if (glob_iolevel >= iolevel) then # if number 0 > i := 1; > while (i <= numb) do # do number 1 > print(dump_label,series_name > ,i,arr_series[i]); > i := i + 1; > od;# end do number 1 > fi;# end if 0 > end; dump_series := proc(iolevel, dump_label, series_name, arr_series, numb) local i; global glob_iolevel; if iolevel <= glob_iolevel then i := 1; while i <= numb do print(dump_label, series_name, i, arr_series[i]); i := i + 1 end do end if end proc > # End Function number 8 > # Begin Function number 9 > dump_series_2 := proc(iolevel,dump_label,series_name2,arr_series2,numb,subnum,arr_x) > global glob_iolevel; > local i,sub,ts_term; > if (glob_iolevel >= iolevel) then # if number 0 > sub := 1; > while (sub <= subnum) do # do number 1 > i := 1; > while (i <= numb) do # do number 2 > print(dump_label,series_name2,sub,i,arr_series2[sub,i]); > od;# end do number 2; > sub := sub + 1; > od;# end do number 1; > fi;# end if 0; > end; dump_series_2 := proc( iolevel, dump_label, series_name2, arr_series2, numb, subnum, arr_x) local i, sub, ts_term; global glob_iolevel; if iolevel <= glob_iolevel then sub := 1; while sub <= subnum do i := 1; while i <= numb do print(dump_label, series_name2, sub, i, arr_series2[sub, i]) end do; sub := sub + 1 end do end if end proc > # End Function number 9 > # Begin Function number 10 > cs_info := proc(iolevel,str) > global glob_iolevel,glob_correct_start_flag,glob_h,glob_reached_optimal_h; > if (glob_iolevel >= iolevel) then # if number 0 > print("cs_info " , str , " glob_correct_start_flag = " , glob_correct_start_flag , "glob_h := " , glob_h , "glob_reached_optimal_h := " , glob_reached_optimal_h) > fi;# end if 0; > end; cs_info := proc(iolevel, str) global glob_iolevel, glob_correct_start_flag, glob_h, glob_reached_optimal_h; if iolevel <= glob_iolevel then print("cs_info ", str, " glob_correct_start_flag = ", glob_correct_start_flag, "glob_h := ", glob_h, "glob_reached_optimal_h := ", glob_reached_optimal_h) end if end proc > # End Function number 10 > # Begin Function number 11 > logitem_time := proc(fd,secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > fprintf(fd,""); > if (secs_in >= 0) then # if number 0 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 1 > fprintf(fd,"%d Years %d Days %d Hours %d Minutes %d Seconds",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 2 > fprintf(fd,"%d Days %d Hours %d Minutes %d Seconds",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 3 > fprintf(fd,"%d Hours %d Minutes %d Seconds",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 4 > fprintf(fd,"%d Minutes %d Seconds",minutes_int,sec_int); > else > fprintf(fd,"%d Seconds",sec_int); > fi;# end if 4 > else > fprintf(fd," Unknown"); > fi;# end if 3 > fprintf(fd,"\n"); > end; logitem_time := proc(fd, secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; fprintf(fd, ""); if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then fprintf(fd, "%d Years %d Days %d Hours %d Minutes %d Seconds", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then fprintf(fd, "%d Days %d Hours %d Minutes %d Seconds", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then fprintf(fd, "%d Hours %d Minutes %d Seconds", hours_int, minutes_int, sec_int) elif 0 < minutes_int then fprintf(fd, "%d Minutes %d Seconds", minutes_int, sec_int) else fprintf(fd, "%d Seconds", sec_int) end if else fprintf(fd, " Unknown") end if; fprintf(fd, "\n") end proc > # End Function number 11 > # Begin Function number 12 > omniout_timestr := proc(secs_in) > global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; > local days_int, hours_int,minutes_int, sec_int, sec_temp, years_int; > if (secs_in >= 0) then # if number 3 > years_int := trunc(secs_in / glob_sec_in_year); > sec_temp := (trunc(secs_in) mod trunc(glob_sec_in_year)); > days_int := trunc(sec_temp / glob_sec_in_day) ; > sec_temp := (sec_temp mod trunc(glob_sec_in_day)) ; > hours_int := trunc(sec_temp / glob_sec_in_hour); > sec_temp := (sec_temp mod trunc(glob_sec_in_hour)); > minutes_int := trunc(sec_temp / glob_sec_in_minute); > sec_int := (sec_temp mod trunc(glob_sec_in_minute)); > if (years_int > 0) then # if number 4 > printf(" = %d Years %d Days %d Hours %d Minutes %d Seconds\n",years_int,days_int,hours_int,minutes_int,sec_int); > elif > (days_int > 0) then # if number 5 > printf(" = %d Days %d Hours %d Minutes %d Seconds\n",days_int,hours_int,minutes_int,sec_int); > elif > (hours_int > 0) then # if number 6 > printf(" = %d Hours %d Minutes %d Seconds\n",hours_int,minutes_int,sec_int); > elif > (minutes_int > 0) then # if number 7 > printf(" = %d Minutes %d Seconds\n",minutes_int,sec_int); > else > printf(" = %d Seconds\n",sec_int); > fi;# end if 7 > else > printf(" Unknown\n"); > fi;# end if 6 > end; omniout_timestr := proc(secs_in) local days_int, hours_int, minutes_int, sec_int, sec_temp, years_int; global glob_sec_in_day, glob_sec_in_hour, glob_sec_in_minute, glob_sec_in_year; if 0 <= secs_in then years_int := trunc(secs_in/glob_sec_in_year); sec_temp := trunc(secs_in) mod trunc(glob_sec_in_year); days_int := trunc(sec_temp/glob_sec_in_day); sec_temp := sec_temp mod trunc(glob_sec_in_day); hours_int := trunc(sec_temp/glob_sec_in_hour); sec_temp := sec_temp mod trunc(glob_sec_in_hour); minutes_int := trunc(sec_temp/glob_sec_in_minute); sec_int := sec_temp mod trunc(glob_sec_in_minute); if 0 < years_int then printf( " = %d Years %d Days %d Hours %d Minutes %d Seconds\n", years_int, days_int, hours_int, minutes_int, sec_int) elif 0 < days_int then printf( " = %d Days %d Hours %d Minutes %d Seconds\n", days_int, hours_int, minutes_int, sec_int) elif 0 < hours_int then printf( " = %d Hours %d Minutes %d Seconds\n", hours_int, minutes_int, sec_int) elif 0 < minutes_int then printf(" = %d Minutes %d Seconds\n", minutes_int, sec_int) else printf(" = %d Seconds\n", sec_int) end if else printf(" Unknown\n") end if end proc > # End Function number 12 > # Begin Function number 13 > ats := proc(mmm_ats,arr_a,arr_b,jjj_ats) > local iii_ats, lll_ats,ma_ats, ret_ats; > ret_ats := 0.0; > if (jjj_ats <= mmm_ats) then # if number 6 > ma_ats := mmm_ats + 1; > iii_ats := jjj_ats; > while (iii_ats <= mmm_ats) do # do number 1 > lll_ats := ma_ats - iii_ats; > ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; > iii_ats := iii_ats + 1; > od;# end do number 1 > fi;# end if 6; > ret_ats; > end; ats := proc(mmm_ats, arr_a, arr_b, jjj_ats) local iii_ats, lll_ats, ma_ats, ret_ats; ret_ats := 0.; if jjj_ats <= mmm_ats then ma_ats := mmm_ats + 1; iii_ats := jjj_ats; while iii_ats <= mmm_ats do lll_ats := ma_ats - iii_ats; ret_ats := ret_ats + arr_a[iii_ats]*arr_b[lll_ats]; iii_ats := iii_ats + 1 end do end if; ret_ats end proc > # End Function number 13 > # Begin Function number 14 > att := proc(mmm_att,arr_aa,arr_bb,jjj_att) > global glob_max_terms; > local al_att, iii_att,lll_att, ma_att, ret_att; > ret_att := 0.0; > if (jjj_att <= mmm_att) then # if number 6 > ma_att := mmm_att + 2; > iii_att := jjj_att; > while (iii_att <= mmm_att) do # do number 1 > lll_att := ma_att - iii_att; > al_att := (lll_att - 1); > if (lll_att <= glob_max_terms) then # if number 7 > ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]* convfp(al_att); > fi;# end if 7; > iii_att := iii_att + 1; > od;# end do number 1; > ret_att := ret_att / convfp(mmm_att) ; > fi;# end if 6; > ret_att; > end; att := proc(mmm_att, arr_aa, arr_bb, jjj_att) local al_att, iii_att, lll_att, ma_att, ret_att; global glob_max_terms; ret_att := 0.; if jjj_att <= mmm_att then ma_att := mmm_att + 2; iii_att := jjj_att; while iii_att <= mmm_att do lll_att := ma_att - iii_att; al_att := lll_att - 1; if lll_att <= glob_max_terms then ret_att := ret_att + arr_aa[iii_att]*arr_bb[lll_att]*convfp(al_att) end if; iii_att := iii_att + 1 end do; ret_att := ret_att/convfp(mmm_att) end if; ret_att end proc > # End Function number 14 > # Begin Function number 15 > display_pole_debug := proc(typ,radius,order2) > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if (typ = 1) then # if number 6 > omniout_str(ALWAYS,"Real"); > else > omniout_str(ALWAYS,"Complex"); > fi;# end if 6; > omniout_float(ALWAYS,"DBG Radius of convergence ",4, radius,4," "); > omniout_float(ALWAYS,"DBG Order of pole ",4, order2,4," "); > end; display_pole_debug := proc(typ, radius, order2) global ALWAYS, glob_display_flag, glob_large_float, array_pole; if typ = 1 then omniout_str(ALWAYS, "Real") else omniout_str(ALWAYS, "Complex") end if; omniout_float(ALWAYS, "DBG Radius of convergence ", 4, radius, 4, " "); omniout_float(ALWAYS, "DBG Order of pole ", 4, order2, 4, " ") end proc > # End Function number 15 > # Begin Function number 16 > display_pole := proc() > global ALWAYS,glob_display_flag, glob_large_float, array_pole; > if ((array_pole[1] <> glob_large_float) and (array_pole[1] > 0.0) and (array_pole[2] <> glob_large_float) and (array_pole[2]> 0.0) and glob_display_flag) then # if number 6 > omniout_float(ALWAYS,"Radius of convergence ",4, array_pole[1],4," "); > omniout_float(ALWAYS,"Order of pole ",4, array_pole[2],4," "); > fi;# end if 6 > end; display_pole := proc() global ALWAYS, glob_display_flag, glob_large_float, array_pole; if array_pole[1] <> glob_large_float and 0. < array_pole[1] and array_pole[2] <> glob_large_float and 0. < array_pole[2] and glob_display_flag then omniout_float(ALWAYS, "Radius of convergence ", 4, array_pole[1], 4, " "); omniout_float(ALWAYS, "Order of pole ", 4, array_pole[2], 4, " ") end if end proc > # End Function number 16 > # Begin Function number 17 > logditto := proc(file) > fprintf(file,""); > fprintf(file,"ditto"); > fprintf(file,""); > end; logditto := proc(file) fprintf(file, ""); fprintf(file, "ditto"); fprintf(file, "") end proc > # End Function number 17 > # Begin Function number 18 > logitem_integer := proc(file,n) > fprintf(file,""); > fprintf(file,"%d",n); > fprintf(file,""); > end; logitem_integer := proc(file, n) fprintf(file, ""); fprintf(file, "%d", n); fprintf(file, "") end proc > # End Function number 18 > # Begin Function number 19 > logitem_str := proc(file,str) > fprintf(file,""); > fprintf(file,str); > fprintf(file,""); > end; logitem_str := proc(file, str) fprintf(file, ""); fprintf(file, str); fprintf(file, "") end proc > # End Function number 19 > # Begin Function number 20 > logitem_good_digits := proc(file,rel_error) > global glob_small_float; > local good_digits; > fprintf(file,""); > if (rel_error <> -1.0) then # if number 6 > if (rel_error > + 0.0000000000000000000000000000000001) then # if number 7 > good_digits := 1-trunc(log10(rel_error)); > fprintf(file,"%d",good_digits); > else > good_digits := Digits; > fprintf(file,"%d",good_digits); > fi;# end if 7; > else > fprintf(file,"Unknown"); > fi;# end if 6; > fprintf(file,""); > end; logitem_good_digits := proc(file, rel_error) local good_digits; global glob_small_float; fprintf(file, ""); if rel_error <> -1.0 then if 0.1*10^(-33) < rel_error then good_digits := 1 - trunc(log10(rel_error)); fprintf(file, "%d", good_digits) else good_digits := Digits; fprintf(file, "%d", good_digits) end if else fprintf(file, "Unknown") end if; fprintf(file, "") end proc > # End Function number 20 > # Begin Function number 21 > log_revs := proc(file,revs) > fprintf(file,revs); > end; log_revs := proc(file, revs) fprintf(file, revs) end proc > # End Function number 21 > # Begin Function number 22 > logitem_float := proc(file,x) > fprintf(file,""); > fprintf(file,"%g",x); > fprintf(file,""); > end; logitem_float := proc(file, x) fprintf(file, ""); fprintf(file, "%g", x); fprintf(file, "") end proc > # End Function number 22 > # Begin Function number 23 > logitem_pole := proc(file,pole) > fprintf(file,""); > if (pole = 0) then # if number 6 > fprintf(file,"NA"); > elif > (pole = 1) then # if number 7 > fprintf(file,"Real"); > elif > (pole = 2) then # if number 8 > fprintf(file,"Complex"); > else > fprintf(file,"No Pole"); > fi;# end if 8 > fprintf(file,""); > end; logitem_pole := proc(file, pole) fprintf(file, ""); if pole = 0 then fprintf(file, "NA") elif pole = 1 then fprintf(file, "Real") elif pole = 2 then fprintf(file, "Complex") else fprintf(file, "No Pole") end if; fprintf(file, "") end proc > # End Function number 23 > # Begin Function number 24 > logstart := proc(file) > fprintf(file,""); > end; logstart := proc(file) fprintf(file, "") end proc > # End Function number 24 > # Begin Function number 25 > logend := proc(file) > fprintf(file,"\n"); > end; logend := proc(file) fprintf(file, "\n") end proc > # End Function number 25 > # Begin Function number 26 > chk_data := proc() > global glob_max_iter,ALWAYS, glob_max_terms; > local errflag; > errflag := false; > if ((glob_max_terms < 15) or (glob_max_terms > 512)) then # if number 8 > omniout_str(ALWAYS,"Illegal max_terms = -- Using 30"); > glob_max_terms := 30; > fi;# end if 8; > if (glob_max_iter < 2) then # if number 8 > omniout_str(ALWAYS,"Illegal max_iter"); > errflag := true; > fi;# end if 8; > if (errflag) then # if number 8 > quit; > fi;# end if 8 > end; chk_data := proc() local errflag; global glob_max_iter, ALWAYS, glob_max_terms; errflag := false; if glob_max_terms < 15 or 512 < glob_max_terms then omniout_str(ALWAYS, "Illegal max_terms = -- Using 30"); glob_max_terms := 30 end if; if glob_max_iter < 2 then omniout_str(ALWAYS, "Illegal max_iter"); errflag := true end if; if errflag then quit end if end proc > # End Function number 26 > # Begin Function number 27 > comp_expect_sec := proc(t_end2,t_start2,t2,clock_sec2) > global glob_small_float; > local ms2, rrr, sec_left, sub1, sub2; > ; > ms2 := clock_sec2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub1 = 0.0) then # if number 8 > sec_left := 0.0; > else > if (sub2 > 0.0) then # if number 9 > rrr := (sub1/sub2); > sec_left := rrr * ms2 - ms2; > else > sec_left := 0.0; > fi;# end if 9 > fi;# end if 8; > sec_left; > end; comp_expect_sec := proc(t_end2, t_start2, t2, clock_sec2) local ms2, rrr, sec_left, sub1, sub2; global glob_small_float; ms2 := clock_sec2; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if sub1 = 0. then sec_left := 0. else if 0. < sub2 then rrr := sub1/sub2; sec_left := rrr*ms2 - ms2 else sec_left := 0. end if end if; sec_left end proc > # End Function number 27 > # Begin Function number 28 > comp_percent := proc(t_end2,t_start2, t2) > global glob_small_float; > local rrr, sub1, sub2; > sub1 := (t_end2-t_start2); > sub2 := (t2-t_start2); > if (sub2 > glob_small_float) then # if number 8 > rrr := (100.0*sub2)/sub1; > else > rrr := 0.0; > fi;# end if 8; > rrr; > end; comp_percent := proc(t_end2, t_start2, t2) local rrr, sub1, sub2; global glob_small_float; sub1 := t_end2 - t_start2; sub2 := t2 - t_start2; if glob_small_float < sub2 then rrr := 100.0*sub2/sub1 else rrr := 0. end if; rrr end proc > # End Function number 28 > # Begin Function number 29 > factorial_2 := proc(nnn) > nnn!; > end; factorial_2 := proc(nnn) nnn! end proc > # End Function number 29 > # Begin Function number 30 > factorial_1 := proc(nnn) > global glob_max_terms,array_fact_1; > local ret; > if (nnn <= glob_max_terms) then # if number 8 > if (array_fact_1[nnn] = 0) then # if number 9 > ret := factorial_2(nnn); > array_fact_1[nnn] := ret; > else > ret := array_fact_1[nnn]; > fi;# end if 9; > else > ret := factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_1 := proc(nnn) local ret; global glob_max_terms, array_fact_1; if nnn <= glob_max_terms then if array_fact_1[nnn] = 0 then ret := factorial_2(nnn); array_fact_1[nnn] := ret else ret := array_fact_1[nnn] end if else ret := factorial_2(nnn) end if; ret end proc > # End Function number 30 > # Begin Function number 31 > factorial_3 := proc(mmm,nnn) > global glob_max_terms,array_fact_2; > local ret; > if ((nnn <= glob_max_terms) and (mmm <= glob_max_terms)) then # if number 8 > if (array_fact_2[mmm,nnn] = 0) then # if number 9 > ret := factorial_1(mmm)/factorial_1(nnn); > array_fact_2[mmm,nnn] := ret; > else > ret := array_fact_2[mmm,nnn]; > fi;# end if 9; > else > ret := factorial_2(mmm)/factorial_2(nnn); > fi;# end if 8; > ret; > end; factorial_3 := proc(mmm, nnn) local ret; global glob_max_terms, array_fact_2; if nnn <= glob_max_terms and mmm <= glob_max_terms then if array_fact_2[mmm, nnn] = 0 then ret := factorial_1(mmm)/factorial_1(nnn); array_fact_2[mmm, nnn] := ret else ret := array_fact_2[mmm, nnn] end if else ret := factorial_2(mmm)/factorial_2(nnn) end if; ret end proc > # End Function number 31 > # Begin Function number 32 > convfp := proc(mmm) > (mmm); > end; convfp := proc(mmm) mmm end proc > # End Function number 32 > # Begin Function number 33 > convfloat := proc(mmm) > (mmm); > end; convfloat := proc(mmm) mmm end proc > # End Function number 33 > # Begin Function number 34 > elapsed_time_seconds := proc() > time(); > end; elapsed_time_seconds := proc() time() end proc > # End Function number 34 > # Begin Function number 35 > omniabs := proc(x) > abs(x); > end; omniabs := proc(x) abs(x) end proc > # End Function number 35 > # Begin Function number 36 > expt := proc(x,y) > (x^y); > end; expt := proc(x, y) x^y end proc > # End Function number 36 > # Begin Function number 37 > estimated_needed_step_error := proc(x_start,x_end,estimated_h,estimated_answer) > local desired_abs_gbl_error,range,estimated_steps,step_error; > global glob_desired_digits_correct,ALWAYS; > omniout_float(ALWAYS,"glob_desired_digits_correct",32,glob_desired_digits_correct,32,""); > desired_abs_gbl_error := expt(10.0,- glob_desired_digits_correct) * omniabs(estimated_answer); > omniout_float(ALWAYS,"desired_abs_gbl_error",32,desired_abs_gbl_error,32,""); > range := (x_end - x_start); > omniout_float(ALWAYS,"range",32,range,32,""); > estimated_steps := range / estimated_h; > omniout_float(ALWAYS,"estimated_steps",32,estimated_steps,32,""); > step_error := omniabs(desired_abs_gbl_error / estimated_steps); > omniout_float(ALWAYS,"step_error",32,step_error,32,""); > (step_error);; > end; estimated_needed_step_error := proc( x_start, x_end, estimated_h, estimated_answer) local desired_abs_gbl_error, range, estimated_steps, step_error; global glob_desired_digits_correct, ALWAYS; omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32, ""); desired_abs_gbl_error := expt(10.0, -glob_desired_digits_correct)*omniabs(estimated_answer); omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32, ""); range := x_end - x_start; omniout_float(ALWAYS, "range", 32, range, 32, ""); estimated_steps := range/estimated_h; omniout_float(ALWAYS, "estimated_steps", 32, estimated_steps, 32, ""); step_error := omniabs(desired_abs_gbl_error/estimated_steps); omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""); step_error end proc > # End Function number 37 > #END ATS LIBRARY BLOCK > #BEGIN USER DEF BLOCK > #BEGIN USER DEF BLOCK > exact_soln_y := proc(x) > return(0.5 * x + 0.25 * ln(2.0 * x + 3.0)); > end; exact_soln_y := proc(x) return 0.5*x + 0.25*ln(2.0*x + 3.0) end proc > #END USER DEF BLOCK > #END USER DEF BLOCK > #END OUTFILE5 > # Begin Function number 2 > main := proc() > #BEGIN OUTFIEMAIN > local d1,d2,d3,d4,est_err_2,niii,done_once, > term,ord,order_diff,term_no,html_log_file,iiif,jjjf, > rows,r_order,sub_iter,calc_term,iii,temp_sum,current_iter, > x_start,x_end > ,it, max_terms, opt_iter, tmp,subiter, est_needed_step_err,value3,min_value,est_answer,best_h,found_h,repeat_it; > global > glob_max_terms, > glob_iolevel, > ALWAYS, > INFO, > DEBUGL, > DEBUGMASSIVE, > #Top Generate Globals Decl > MAX_UNCHANGED, > glob_check_sign, > glob_desired_digits_correct, > glob_max_value3, > glob_ratio_of_radius, > glob_percent_done, > glob_subiter_method, > glob_total_exp_sec, > glob_optimal_expect_sec, > glob_html_log, > glob_good_digits, > glob_max_opt_iter, > glob_dump, > glob_djd_debug, > glob_display_flag, > glob_djd_debug2, > glob_sec_in_minute, > glob_min_in_hour, > glob_hours_in_day, > glob_days_in_year, > glob_sec_in_hour, > glob_sec_in_day, > glob_sec_in_year, > glob_almost_1, > glob_clock_sec, > glob_clock_start_sec, > glob_not_yet_finished, > glob_initial_pass, > glob_not_yet_start_msg, > glob_reached_optimal_h, > glob_optimal_done, > glob_disp_incr, > glob_h, > glob_max_h, > glob_large_float, > glob_last_good_h, > glob_look_poles, > glob_neg_h, > glob_display_interval, > glob_next_display, > glob_dump_analytic, > glob_abserr, > glob_relerr, > glob_max_hours, > glob_max_iter, > glob_max_rel_trunc_err, > glob_max_trunc_err, > glob_no_eqs, > glob_optimal_clock_start_sec, > glob_optimal_start, > glob_small_float, > glob_smallish_float, > glob_unchanged_h_cnt, > glob_warned, > glob_warned2, > glob_max_sec, > glob_orig_start_sec, > glob_start, > glob_curr_iter_when_opt, > glob_current_iter, > glob_iter, > glob_normmax, > glob_max_minutes, > #Bottom Generate Globals Decl > #BEGIN CONST > array_const_1, > array_const_0D0, > array_const_0D1, > 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, > array_tmp4, > array_tmp5, > array_tmp6, > array_m1, > array_y_higher, > array_y_higher_work, > array_y_higher_work2, > array_y_set_initial, > array_poles, > array_real_pole, > array_complex_pole, > array_fact_2, > glob_last; > glob_last; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > glob_iolevel := INFO; > glob_max_terms := 30; > glob_iolevel := 5; > ALWAYS := 1; > INFO := 2; > DEBUGL := 3; > DEBUGMASSIVE := 4; > MAX_UNCHANGED := 10; > glob_check_sign := 1.0; > glob_desired_digits_correct := 8.0; > glob_max_value3 := 0.0; > glob_ratio_of_radius := 0.01; > glob_percent_done := 0.0; > glob_subiter_method := 3; > glob_total_exp_sec := 0.1; > glob_optimal_expect_sec := 0.1; > glob_html_log := true; > glob_good_digits := 0; > glob_max_opt_iter := 10; > glob_dump := false; > glob_djd_debug := true; > glob_display_flag := true; > glob_djd_debug2 := true; > glob_sec_in_minute := 60; > glob_min_in_hour := 60; > glob_hours_in_day := 24; > glob_days_in_year := 365; > glob_sec_in_hour := 3600; > glob_sec_in_day := 86400; > glob_sec_in_year := 31536000; > glob_almost_1 := 0.9990; > glob_clock_sec := 0.0; > glob_clock_start_sec := 0.0; > glob_not_yet_finished := true; > glob_initial_pass := true; > glob_not_yet_start_msg := true; > glob_reached_optimal_h := false; > glob_optimal_done := false; > glob_disp_incr := 0.1; > glob_h := 0.1; > glob_max_h := 0.1; > glob_large_float := 9.0e100; > glob_last_good_h := 0.1; > glob_look_poles := false; > glob_neg_h := false; > glob_display_interval := 0.0; > glob_next_display := 0.0; > glob_dump_analytic := false; > glob_abserr := 0.1e-10; > glob_relerr := 0.1e-10; > glob_max_hours := 0.0; > glob_max_iter := 1000; > glob_max_rel_trunc_err := 0.1e-10; > glob_max_trunc_err := 0.1e-10; > glob_no_eqs := 0; > glob_optimal_clock_start_sec := 0.0; > glob_optimal_start := 0.0; > glob_small_float := 0.1e-200; > glob_smallish_float := 0.1e-100; > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_max_sec := 10000.0; > glob_orig_start_sec := 0.0; > glob_start := 0; > glob_curr_iter_when_opt := 0; > glob_current_iter := 0; > glob_iter := 0; > glob_normmax := 0.0; > glob_max_minutes := 0.0; > #Write Set Defaults > glob_orig_start_sec := elapsed_time_seconds(); > MAX_UNCHANGED := 10; > glob_curr_iter_when_opt := 0; > glob_display_flag := true; > glob_no_eqs := 1; > glob_iter := -1; > opt_iter := -1; > glob_max_iter := 50000; > glob_max_hours := 0.0; > glob_max_minutes := 15.0; > omniout_str(ALWAYS,"##############ECHO OF PROBLEM#################"); > omniout_str(ALWAYS,"##############temp/div_lin_linpostode.ode#################"); > omniout_str(ALWAYS,"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (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 := 0.1;"); > omniout_str(ALWAYS,"x_end := 5.0 ;"); > omniout_str(ALWAYS,"array_y_init[0 + 1] := exact_soln_y(x_start);"); > omniout_str(ALWAYS,"glob_look_poles := true;"); > omniout_str(ALWAYS,"glob_max_iter := 1000000;"); > omniout_str(ALWAYS,"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(0.5 * x + 0.25 * ln(2.0 * x + 3.0));"); > omniout_str(ALWAYS,"end;"); > omniout_str(ALWAYS,"#END USER DEF BLOCK"); > omniout_str(ALWAYS,"#######END OF ECHO OF PROBLEM#################"); > glob_unchanged_h_cnt := 0; > glob_warned := false; > glob_warned2 := false; > glob_small_float := 1.0e-200; > glob_smallish_float := 1.0e-64; > glob_large_float := 1.0e100; > glob_almost_1 := 0.99; > #BEGIN FIRST INPUT BLOCK > #BEGIN FIRST INPUT BLOCK > 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:= Array(0..(max_terms + 1),[]); > array_tmp4:= Array(0..(max_terms + 1),[]); > array_tmp5:= Array(0..(max_terms + 1),[]); > array_tmp6:= Array(0..(max_terms + 1),[]); > array_m1:= Array(0..(max_terms + 1),[]); > array_y_higher := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_higher_work2 := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_y_set_initial := Array(0..(2+ 1) ,(0..max_terms+ 1),[]); > array_poles := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_real_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_complex_pole := Array(0..(1+ 1) ,(0..3+ 1),[]); > array_fact_2 := Array(0..(max_terms+ 1) ,(0..max_terms+ 1),[]); > term := 1; > while (term <= max_terms) do # do number 2 > array_y_init[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_norms[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_fact_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_1st_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_last_rel_error[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_type_pole[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_y[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_x[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp0[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp1[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp2[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2; > term := 1; > while (term <= max_terms) do # do number 2 > array_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 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp3[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp4 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp4[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp5 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp5[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_tmp6 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_tmp6[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_m1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_m1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_1[1] := 1; > array_const_0D0 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D0[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D0[1] := 0.0; > array_const_0D1 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D1[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D1[1] := 0.1; > array_const_0D2 := Array(1..(max_terms+1 + 1),[]); > term := 1; > while (term <= max_terms + 1) do # do number 2 > array_const_0D2[term] := 0.0; > term := term + 1; > od;# end do number 2; > array_const_0D2[1] := 0.2; > array_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 := 0.1; > x_end := 5.0 ; > array_y_init[0 + 1] := exact_soln_y(x_start); > 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); > if (glob_h > 0.0) then # if number 1 > glob_neg_h := false; > glob_display_interval := omniabs(glob_display_interval); > else > glob_neg_h := true; > glob_display_interval := -omniabs(glob_display_interval); > fi;# end if 1; > chk_data(); > #AFTER INITS AFTER SECOND INPUT BLOCK > array_y_set_initial[1,1] := true; > array_y_set_initial[1,2] := false; > array_y_set_initial[1,3] := false; > array_y_set_initial[1,4] := false; > array_y_set_initial[1,5] := false; > array_y_set_initial[1,6] := false; > array_y_set_initial[1,7] := false; > array_y_set_initial[1,8] := false; > array_y_set_initial[1,9] := false; > array_y_set_initial[1,10] := false; > array_y_set_initial[1,11] := false; > array_y_set_initial[1,12] := false; > array_y_set_initial[1,13] := false; > array_y_set_initial[1,14] := false; > array_y_set_initial[1,15] := false; > array_y_set_initial[1,16] := false; > array_y_set_initial[1,17] := false; > array_y_set_initial[1,18] := false; > array_y_set_initial[1,19] := false; > array_y_set_initial[1,20] := false; > array_y_set_initial[1,21] := false; > array_y_set_initial[1,22] := false; > array_y_set_initial[1,23] := false; > array_y_set_initial[1,24] := false; > array_y_set_initial[1,25] := false; > array_y_set_initial[1,26] := false; > array_y_set_initial[1,27] := false; > array_y_set_initial[1,28] := false; > array_y_set_initial[1,29] := false; > array_y_set_initial[1,30] := false; > #BEGIN OPTIMIZE CODE > omniout_str(ALWAYS,"START of Optimize"); > #Start Series -- INITIALIZE FOR OPTIMIZE > glob_check_sign := check_sign(x_start,x_end); > glob_h := check_sign(x_start,x_end); > if (glob_display_interval < glob_h) then # if number 2 > glob_h := glob_display_interval; > fi;# end if 2; > if (glob_max_h < glob_h) then # if number 2 > glob_h := glob_max_h; > fi;# end if 2; > found_h := -1.0; > best_h := 0.0; > min_value := glob_large_float; > est_answer := est_size_answer(); > opt_iter := 1; > while ((opt_iter <= 20) and (found_h < 0.0)) do # do number 2 > omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""); > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 3 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 3; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 3 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 4 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 4; > r_order := r_order + 1; > od;# end do number 3 > ; > atomall(); > est_needed_step_err := estimated_needed_step_error(x_start,x_end,glob_h,est_answer); > omniout_float(ALWAYS,"est_needed_step_err",32,est_needed_step_err,16,""); > value3 := test_suggested_h(); > omniout_float(ALWAYS,"value3",32,value3,32,""); > if ((value3 < est_needed_step_err) and (found_h < 0.0)) then # if number 2 > best_h := glob_h; > found_h := 1.0; > fi;# end if 2; > omniout_float(ALWAYS,"best_h",32,best_h,32,""); > opt_iter := opt_iter + 1; > glob_h := glob_h * 0.5; > od;# end do number 2; > if (found_h > 0.0) then # if number 2 > glob_h := best_h ; > else > omniout_str(ALWAYS,"No increment to obtain desired accuracy found"); > fi;# end if 2; > #END OPTIMIZE CODE > if (glob_html_log) then # if number 2 > html_log_file := fopen("html/entry.html",WRITE,TEXT); > fi;# end if 2; > #BEGIN SOLUTION CODE > if (found_h > 0.0) then # if number 2 > omniout_str(ALWAYS,"START of Soultion"); > #Start Series -- INITIALIZE FOR SOLUTION > array_x[1] := x_start; > array_x[2] := glob_h; > glob_next_display := x_start; > order_diff := 1; > #Start Series array_y > term_no := 1; > while (term_no <= order_diff) do # do number 2 > array_y[term_no] := array_y_init[term_no] * expt(glob_h , (term_no - 1)) / factorial_1(term_no - 1); > term_no := term_no + 1; > od;# end do number 2; > rows := order_diff; > r_order := 1; > while (r_order <= rows) do # do number 2 > term_no := 1; > while (term_no <= (rows - r_order + 1)) do # do number 3 > it := term_no + r_order - 1; > array_y_higher[r_order,term_no] := array_y_init[it]* expt(glob_h , (term_no - 1)) / ((factorial_1(term_no - 1))); > term_no := term_no + 1; > od;# end do number 3; > r_order := r_order + 1; > od;# end do number 2 > ; > current_iter := 1; > glob_clock_start_sec := elapsed_time_seconds(); > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := 0; > glob_iter := 0; > omniout_str(DEBUGL," "); > glob_reached_optimal_h := true; > glob_optimal_clock_start_sec := elapsed_time_seconds(); > while ((glob_current_iter < glob_max_iter) and ((glob_check_sign * array_x[1]) < (glob_check_sign * x_end )) and ((convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec)) < convfloat(glob_max_sec))) do # do number 2 > #left paren 0001C > if (reached_interval()) then # if number 3 > omniout_str(INFO," "); > omniout_str(INFO,"TOP MAIN SOLVE Loop"); > fi;# end if 3; > glob_iter := glob_iter + 1; > glob_clock_sec := elapsed_time_seconds(); > glob_current_iter := glob_current_iter + 1; > atomall(); > display_alot(current_iter); > if (glob_look_poles) then # if number 3 > #left paren 0004C > check_for_pole(); > fi;# end if 3;#was right paren 0004C > if (reached_interval()) then # if number 3 > glob_next_display := glob_next_display + glob_display_interval; > fi;# end if 3; > array_x[1] := array_x[1] + glob_h; > array_x[2] := glob_h; > #Jump Series array_y; > order_diff := 2; > #START PART 1 SUM AND ADJUST > #START SUM AND ADJUST EQ =1 > #sum_and_adjust array_y > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 2; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[2,iii] := array_y_higher[2,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 2; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 2; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 2; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #BEFORE ADJUST SUBSERIES EQ =1 > ord := 1; > calc_term := 1; > #adjust_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > array_y_higher_work[1,iii] := array_y_higher[1,iii] / expt(glob_h , (calc_term - 1)) / factorial_3(iii - calc_term , iii - 1); > iii := iii - 1; > od;# end do number 3; > #AFTER ADJUST SUBSERIES EQ =1 > #BEFORE SUM SUBSERIES EQ =1 > temp_sum := 0.0; > ord := 1; > calc_term := 1; > #sum_subseriesarray_y > iii := glob_max_terms; > while (iii >= calc_term) do # do number 3 > temp_sum := temp_sum + array_y_higher_work[ord,iii]; > iii := iii - 1; > od;# end do number 3; > array_y_higher_work2[ord,calc_term] := temp_sum * expt(glob_h , (calc_term - 1)) / (factorial_1(calc_term - 1)); > #AFTER SUM SUBSERIES EQ =1 > #END SUM AND ADJUST EQ =1 > #END PART 1 > #START PART 2 MOVE TERMS to REGULAR Array > term_no := glob_max_terms; > while (term_no >= 1) do # do number 3 > array_y[term_no] := array_y_higher_work2[1,term_no]; > ord := 1; > while (ord <= order_diff) do # do number 4 > array_y_higher[ord,term_no] := array_y_higher_work2[ord,term_no]; > ord := ord + 1; > od;# end do number 4; > term_no := term_no - 1; > od;# end do number 3; > #END PART 2 HEVE MOVED TERMS to REGULAR Array > ; > od;# end do number 2;#right paren 0001C > omniout_str(ALWAYS,"Finished!"); > if (glob_iter >= glob_max_iter) then # if number 3 > omniout_str(ALWAYS,"Maximum Iterations Reached before Solution Completed!"); > fi;# end if 3; > if (elapsed_time_seconds() - convfloat(glob_orig_start_sec) >= convfloat(glob_max_sec )) then # if number 3 > omniout_str(ALWAYS,"Maximum Time Reached before Solution Completed!"); > fi;# end if 3; > glob_clock_sec := elapsed_time_seconds(); > omniout_str(INFO,"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (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,"2013-01-28T13:12:11-06:00") > ; > logitem_str(html_log_file,"Maple") > ; > logitem_str(html_log_file,"div_lin_lin") > ; > logitem_str(html_log_file,"diff ( y , x , 1 ) = (0.1 * x + 0.2) / (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," 165 ") > ; > logitem_str(html_log_file,"div_lin_lin diffeq.mxt") > ; > logitem_str(html_log_file,"div_lin_lin maple results") > ; > logitem_str(html_log_file,"All Tests - All Languages") > ; > logend(html_log_file) > ; > ; > fi;# end if 3; > if (glob_html_log) then # if number 3 > fclose(html_log_file); > fi;# end if 3 > ; > ;; > fi;# end if 2 > #END OUTFILEMAIN > end; main := proc() local d1, d2, d3, d4, est_err_2, niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii, temp_sum, current_iter, x_start, x_end, it, max_terms, opt_iter, tmp, subiter, est_needed_step_err, value3, min_value, est_answer, best_h, found_h, repeat_it; global glob_max_terms, glob_iolevel, ALWAYS, INFO, DEBUGL, DEBUGMASSIVE, MAX_UNCHANGED, glob_check_sign, glob_desired_digits_correct, glob_max_value3, glob_ratio_of_radius, glob_percent_done, glob_subiter_method, glob_total_exp_sec, glob_optimal_expect_sec, glob_html_log, glob_good_digits, glob_max_opt_iter, glob_dump, glob_djd_debug, glob_display_flag, glob_djd_debug2, glob_sec_in_minute, glob_min_in_hour, glob_hours_in_day, glob_days_in_year, glob_sec_in_hour, glob_sec_in_day, glob_sec_in_year, glob_almost_1, glob_clock_sec, glob_clock_start_sec, glob_not_yet_finished, glob_initial_pass, glob_not_yet_start_msg, glob_reached_optimal_h, glob_optimal_done, glob_disp_incr, glob_h, glob_max_h, glob_large_float, glob_last_good_h, glob_look_poles, glob_neg_h, glob_display_interval, glob_next_display, glob_dump_analytic, glob_abserr, glob_relerr, glob_max_hours, glob_max_iter, glob_max_rel_trunc_err, glob_max_trunc_err, glob_no_eqs, glob_optimal_clock_start_sec, glob_optimal_start, glob_small_float, glob_smallish_float, glob_unchanged_h_cnt, glob_warned, glob_warned2, glob_max_sec, glob_orig_start_sec, glob_start, glob_curr_iter_when_opt, glob_current_iter, glob_iter, glob_normmax, glob_max_minutes, array_const_1, array_const_0D0, array_const_0D1, array_const_0D2, array_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, array_tmp4, array_tmp5, array_tmp6, array_m1, array_y_higher, array_y_higher_work, array_y_higher_work2, array_y_set_initial, array_poles, array_real_pole, array_complex_pole, array_fact_2, glob_last; glob_last; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; glob_iolevel := INFO; glob_max_terms := 30; glob_iolevel := 5; ALWAYS := 1; INFO := 2; DEBUGL := 3; DEBUGMASSIVE := 4; MAX_UNCHANGED := 10; glob_check_sign := 1.0; glob_desired_digits_correct := 8.0; glob_max_value3 := 0.; glob_ratio_of_radius := 0.01; glob_percent_done := 0.; glob_subiter_method := 3; glob_total_exp_sec := 0.1; glob_optimal_expect_sec := 0.1; glob_html_log := true; glob_good_digits := 0; glob_max_opt_iter := 10; glob_dump := false; glob_djd_debug := true; glob_display_flag := true; glob_djd_debug2 := true; glob_sec_in_minute := 60; glob_min_in_hour := 60; glob_hours_in_day := 24; glob_days_in_year := 365; glob_sec_in_hour := 3600; glob_sec_in_day := 86400; glob_sec_in_year := 31536000; glob_almost_1 := 0.9990; glob_clock_sec := 0.; glob_clock_start_sec := 0.; glob_not_yet_finished := true; glob_initial_pass := true; glob_not_yet_start_msg := true; glob_reached_optimal_h := false; glob_optimal_done := false; glob_disp_incr := 0.1; glob_h := 0.1; glob_max_h := 0.1; glob_large_float := 0.90*10^101; glob_last_good_h := 0.1; glob_look_poles := false; glob_neg_h := false; glob_display_interval := 0.; glob_next_display := 0.; glob_dump_analytic := false; glob_abserr := 0.1*10^(-10); glob_relerr := 0.1*10^(-10); glob_max_hours := 0.; glob_max_iter := 1000; glob_max_rel_trunc_err := 0.1*10^(-10); glob_max_trunc_err := 0.1*10^(-10); glob_no_eqs := 0; glob_optimal_clock_start_sec := 0.; glob_optimal_start := 0.; glob_small_float := 0.1*10^(-200); glob_smallish_float := 0.1*10^(-100); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_max_sec := 10000.0; glob_orig_start_sec := 0.; glob_start := 0; glob_curr_iter_when_opt := 0; glob_current_iter := 0; glob_iter := 0; glob_normmax := 0.; glob_max_minutes := 0.; glob_orig_start_sec := elapsed_time_seconds(); MAX_UNCHANGED := 10; glob_curr_iter_when_opt := 0; glob_display_flag := true; glob_no_eqs := 1; glob_iter := -1; opt_iter := -1; glob_max_iter := 50000; glob_max_hours := 0.; glob_max_minutes := 15.0; omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"); omniout_str(ALWAYS, "##############temp/div_lin_linpostode.ode#################"); omniout_str(ALWAYS, "diff ( y , x , 1 ) = (0.1 * x + 0.2) / (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 := 0.1;"); omniout_str(ALWAYS, "x_end := 5.0 ;"); omniout_str(ALWAYS, "array_y_init[0 + 1] := exact_soln_y(x_start);"); omniout_str(ALWAYS, "glob_look_poles := true;"); omniout_str(ALWAYS, "glob_max_iter := 1000000;"); omniout_str(ALWAYS, "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(0.5 * x + 0.25 * ln(2.0 * x + 3.0));"); omniout_str(ALWAYS, "end;"); omniout_str(ALWAYS, "#END USER DEF BLOCK"); omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"); glob_unchanged_h_cnt := 0; glob_warned := false; glob_warned2 := false; glob_small_float := 0.10*10^(-199); glob_smallish_float := 0.10*10^(-63); glob_large_float := 0.10*10^101; glob_almost_1 := 0.99; Digits := 32; max_terms := 30; glob_max_terms := max_terms; glob_html_log := true; array_y_init := Array(0 .. max_terms + 1, []); array_norms := Array(0 .. max_terms + 1, []); array_fact_1 := Array(0 .. max_terms + 1, []); array_pole := Array(0 .. max_terms + 1, []); array_1st_rel_error := Array(0 .. max_terms + 1, []); array_last_rel_error := Array(0 .. max_terms + 1, []); array_type_pole := Array(0 .. max_terms + 1, []); array_y := Array(0 .. max_terms + 1, []); array_x := Array(0 .. max_terms + 1, []); array_tmp0 := Array(0 .. max_terms + 1, []); array_tmp1 := Array(0 .. max_terms + 1, []); array_tmp2 := Array(0 .. max_terms + 1, []); array_tmp3 := Array(0 .. max_terms + 1, []); array_tmp4 := Array(0 .. max_terms + 1, []); array_tmp5 := Array(0 .. max_terms + 1, []); array_tmp6 := Array(0 .. max_terms + 1, []); array_m1 := Array(0 .. max_terms + 1, []); array_y_higher := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_higher_work2 := Array(0 .. 3, 0 .. max_terms + 1, []); array_y_set_initial := Array(0 .. 3, 0 .. max_terms + 1, []); array_poles := Array(0 .. 2, 0 .. 4, []); array_real_pole := Array(0 .. 2, 0 .. 4, []); array_complex_pole := Array(0 .. 2, 0 .. 4, []); array_fact_2 := Array(0 .. max_terms + 1, 0 .. max_terms + 1, []); term := 1; while term <= max_terms do array_y_init[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_norms[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_fact_1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_1st_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_last_rel_error[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_type_pole[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_y[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_x[term] := 0.; term := term + 1 end do ; term := 1; while term <= max_terms do array_tmp0[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp1[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp2[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp3[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp4[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp5[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_tmp6[term] := 0.; term := term + 1 end do; term := 1; while term <= max_terms do array_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 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp3[term] := 0.; term := term + 1 end do; array_tmp4 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp4[term] := 0.; term := term + 1 end do; array_tmp5 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp5[term] := 0.; term := term + 1 end do; array_tmp6 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_tmp6[term] := 0.; term := term + 1 end do; array_m1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_m1[term] := 0.; term := term + 1 end do; array_const_1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_1[term] := 0.; term := term + 1 end do; array_const_1[1] := 1; array_const_0D0 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D0[term] := 0.; term := term + 1 end do; array_const_0D0[1] := 0.; array_const_0D1 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D1[term] := 0.; term := term + 1 end do; array_const_0D1[1] := 0.1; array_const_0D2 := Array(1 .. max_terms + 2, []); term := 1; while term <= max_terms + 1 do array_const_0D2[term] := 0.; term := term + 1 end do; array_const_0D2[1] := 0.2; array_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 := 0.1; x_end := 5.0; array_y_init[1] := exact_soln_y(x_start); 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); if 0. < glob_h then glob_neg_h := false; glob_display_interval := omniabs(glob_display_interval) else glob_neg_h := true; glob_display_interval := -omniabs(glob_display_interval) end if; chk_data(); array_y_set_initial[1, 1] := true; array_y_set_initial[1, 2] := false; array_y_set_initial[1, 3] := false; array_y_set_initial[1, 4] := false; array_y_set_initial[1, 5] := false; array_y_set_initial[1, 6] := false; array_y_set_initial[1, 7] := false; array_y_set_initial[1, 8] := false; array_y_set_initial[1, 9] := false; array_y_set_initial[1, 10] := false; array_y_set_initial[1, 11] := false; array_y_set_initial[1, 12] := false; array_y_set_initial[1, 13] := false; array_y_set_initial[1, 14] := false; array_y_set_initial[1, 15] := false; array_y_set_initial[1, 16] := false; array_y_set_initial[1, 17] := false; array_y_set_initial[1, 18] := false; array_y_set_initial[1, 19] := false; array_y_set_initial[1, 20] := false; array_y_set_initial[1, 21] := false; array_y_set_initial[1, 22] := false; array_y_set_initial[1, 23] := false; array_y_set_initial[1, 24] := false; array_y_set_initial[1, 25] := false; array_y_set_initial[1, 26] := false; array_y_set_initial[1, 27] := false; array_y_set_initial[1, 28] := false; array_y_set_initial[1, 29] := false; array_y_set_initial[1, 30] := false; omniout_str(ALWAYS, "START of Optimize"); glob_check_sign := check_sign(x_start, x_end); glob_h := check_sign(x_start, x_end); if glob_display_interval < glob_h then glob_h := glob_display_interval end if; if glob_max_h < glob_h then glob_h := glob_max_h end if; found_h := -1.0; best_h := 0.; min_value := glob_large_float; est_answer := est_size_answer(); opt_iter := 1; while opt_iter <= 20 and found_h < 0. do omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; atomall(); est_needed_step_err := estimated_needed_step_error(x_start, x_end, glob_h, est_answer) ; omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""); value3 := test_suggested_h(); omniout_float(ALWAYS, "value3", 32, value3, 32, ""); if value3 < est_needed_step_err and found_h < 0. then best_h := glob_h; found_h := 1.0 end if; omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""); opt_iter := opt_iter + 1; glob_h := glob_h*0.5 end do; if 0. < found_h then glob_h := best_h else omniout_str(ALWAYS, "No increment to obtain desired accuracy found") end if; if glob_html_log then html_log_file := fopen("html/entry.html", WRITE, TEXT) end if; if 0. < found_h then omniout_str(ALWAYS, "START of Soultion"); array_x[1] := x_start; array_x[2] := glob_h; glob_next_display := x_start; order_diff := 1; term_no := 1; while term_no <= order_diff do array_y[term_no] := array_y_init[term_no]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; rows := order_diff; r_order := 1; while r_order <= rows do term_no := 1; while term_no <= rows - r_order + 1 do it := term_no + r_order - 1; array_y_higher[r_order, term_no] := array_y_init[it]* expt(glob_h, term_no - 1)/factorial_1(term_no - 1); term_no := term_no + 1 end do; r_order := r_order + 1 end do; current_iter := 1; glob_clock_start_sec := elapsed_time_seconds(); glob_clock_sec := elapsed_time_seconds(); glob_current_iter := 0; glob_iter := 0; omniout_str(DEBUGL, " "); glob_reached_optimal_h := true; glob_optimal_clock_start_sec := elapsed_time_seconds(); while glob_current_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and convfloat(glob_clock_sec) - convfloat(glob_orig_start_sec) < convfloat(glob_max_sec) do if reached_interval() then omniout_str(INFO, " "); omniout_str(INFO, "TOP MAIN SOLVE Loop") end if; glob_iter := glob_iter + 1; glob_clock_sec := elapsed_time_seconds(); glob_current_iter := glob_current_iter + 1; atomall(); display_alot(current_iter); if glob_look_poles then check_for_pole() end if; if reached_interval() then glob_next_display := glob_next_display + glob_display_interval end if; array_x[1] := array_x[1] + glob_h; array_x[2] := glob_h; order_diff := 2; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[2, iii] := array_y_higher[2, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 2; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 2; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do array_y_higher_work[1, iii] := array_y_higher[1, iii]/( expt(glob_h, calc_term - 1)* factorial_3(iii - calc_term, iii - 1)); iii := iii - 1 end do; temp_sum := 0.; ord := 1; calc_term := 1; iii := glob_max_terms; while calc_term <= iii do temp_sum := temp_sum + array_y_higher_work[ord, iii]; iii := iii - 1 end do; array_y_higher_work2[ord, calc_term] := temp_sum* expt(glob_h, calc_term - 1)/factorial_1(calc_term - 1); term_no := glob_max_terms; while 1 <= term_no do array_y[term_no] := array_y_higher_work2[1, term_no]; ord := 1; while ord <= order_diff do array_y_higher[ord, term_no] := array_y_higher_work2[ord, term_no]; ord := ord + 1 end do; term_no := term_no - 1 end do end do; omniout_str(ALWAYS, "Finished!"); if glob_max_iter <= glob_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!") end if; if convfloat(glob_max_sec) <= elapsed_time_seconds() - convfloat(glob_orig_start_sec) then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!") end if; glob_clock_sec := elapsed_time_seconds(); omniout_str(INFO, "diff ( y , x , 1 ) = (0.1 * x + 0.2) / (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, "2013-01-28T13:12:11-06:00"); logitem_str(html_log_file, "Maple"); logitem_str(html_log_file, "div_lin_lin"); logitem_str(html_log_file, "diff ( y , x , 1 ) = (0.1 * x + 0.2) / (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, " 165 "); logitem_str(html_log_file, "div_lin_lin diffeq.mxt"); logitem_str(html_log_file, "div_lin_lin maple results"); logitem_str(html_log_file, "All Tests - All Languages"); logend(html_log_file) end if; if glob_html_log then fclose(html_log_file) end if end if end proc > # End Function number 12 > main(); ##############ECHO OF PROBLEM################# ##############temp/div_lin_linpostode.ode################# diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3); ! #BEGIN FIRST INPUT BLOCK Digits:=32; max_terms:=30; ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start := 0.1; x_end := 5.0 ; array_y_init[0 + 1] := exact_soln_y(x_start); 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(0.5 * x + 0.25 * ln(2.0 * x + 3.0)); end; #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 opt_iter = 1 glob_desired_digits_correct = 10 desired_abs_gbl_error = 1.0000000000000000000000000000000e-10 range = 4.9 estimated_steps = 4900 step_error = 2.0408163265306122448979591836735e-14 est_needed_step_err = 2.0408163265306122448979591836735e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 value3 = 4.7393244474592680280442229862778e-86 max_value3 = 4.7393244474592680280442229862778e-86 value3 = 4.7393244474592680280442229862778e-86 best_h = 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 0.34078770245142021576704228815162 y[1] (numeric) = 0.34078770245142021576704228815162 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.101 y[1] (analytic) = 0.3414439036436307358731009438842 y[1] (numeric) = 0.34144390364363073587310094388419 absolute error = 1e-32 relative error = 2.9287387747409087788966167583150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.102 y[1] (analytic) = 0.34210000730152819697219897334455 y[1] (numeric) = 0.34210000730152819697219897334453 absolute error = 2e-32 relative error = 5.8462436635880942529712925880214e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.103 y[1] (analytic) = 0.34275601354684030272746152619522 y[1] (numeric) = 0.34275601354684030272746152619521 absolute error = 1e-32 relative error = 2.9175272219209135530152108724015e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.104 y[1] (analytic) = 0.3434119225010670155121002719177 y[1] (numeric) = 0.34341192250106701551210027191769 absolute error = 1e-32 relative error = 2.9119548113443641405483251461518e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.105 y[1] (analytic) = 0.34406773428548112416591528614428 y[1] (numeric) = 0.34406773428548112416591528614426 absolute error = 2e-32 relative error = 5.8128089347097940045647277581222e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.106 y[1] (analytic) = 0.34472344902112880998363557856672 y[1] (numeric) = 0.34472344902112880998363557856672 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.107 y[1] (analytic) = 0.34537906682883021094170204116625 y[1] (numeric) = 0.34537906682883021094170204116623 absolute error = 2e-32 relative error = 5.7907389071474895067341027624389e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.108 y[1] (analytic) = 0.34603458782917998417006783876648 y[1] (numeric) = 0.34603458782917998417006783876646 absolute error = 2e-32 relative error = 5.7797690472124140380388115737945e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.109 y[1] (analytic) = 0.346690012142547866675562650194 y[1] (numeric) = 0.346690012142547866675562650194 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.11 y[1] (analytic) = 0.3473453398890792343233386968357 y[1] (numeric) = 0.3473453398890792343233386968357 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.111 y[1] (analytic) = 0.34800057118869565908288816531788 y[1] (numeric) = 0.34800057118869565908288816531788 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.515 Order of pole = 1.900e-25 TOP MAIN SOLVE Loop x[1] = 0.112 y[1] (analytic) = 0.34865570616109546454509344160728 y[1] (numeric) = 0.34865570616109546454509344160727 absolute error = 1e-32 relative error = 2.8681589956194567319414385042099e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.113 y[1] (analytic) = 0.3493107449257542797167435242627 y[1] (numeric) = 0.34931074492575427971674352426268 absolute error = 2e-32 relative error = 5.7255610629014529889164615148166e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.114 y[1] (analytic) = 0.34996568760192559109892207407025 y[1] (numeric) = 0.34996568760192559109892207407024 absolute error = 1e-32 relative error = 2.8574229858141606329656099587286e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.115 y[1] (analytic) = 0.35062053430864129305564478509808 y[1] (numeric) = 0.35062053430864129305564478509805 absolute error = 3e-32 relative error = 8.5562587083367605861336151983480e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.116 y[1] (analytic) = 0.3512752851647122364790961275377 y[1] (numeric) = 0.35127528516471223647909612753768 absolute error = 2e-32 relative error = 5.6935403214097577066279713244156e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.117 memory used=3.8MB, alloc=2.9MB, time=0.37 y[1] (analytic) = 0.35192994028872877575778801479478 y[1] (numeric) = 0.35192994028872877575778801479476 absolute error = 2e-32 relative error = 5.6829492777999195303679581438705e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.118 y[1] (analytic) = 0.35258449979906131405393558538745 y[1] (numeric) = 0.35258449979906131405393558538745 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.119 y[1] (analytic) = 0.3532389638138608468963180635543 y[1] (numeric) = 0.35323896381386084689631806355428 absolute error = 2e-32 relative error = 5.6618895560284208254152618607529e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.12 y[1] (analytic) = 0.35389333245105950409486557030942 y[1] (numeric) = 0.35389333245105950409486557030942 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.121 y[1] (analytic) = 0.35454760582837108998318579826742 y[1] (numeric) = 0.35454760582837108998318579826741 absolute error = 1e-32 relative error = 2.8204957065316599650630078266271e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.122 y[1] (analytic) = 0.35520178406329162199521763814805 y[1] (numeric) = 0.35520178406329162199521763814803 absolute error = 2e-32 relative error = 5.6306023498002195970700989036317e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.123 y[1] (analytic) = 0.35585586727309986758217215172808 y[1] (numeric) = 0.35585586727309986758217215172805 absolute error = 3e-32 relative error = 8.4303794763559834221862615043307e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.124 y[1] (analytic) = 0.35650985557485787947589472439618 y[1] (numeric) = 0.35650985557485787947589472439616 absolute error = 2e-32 relative error = 5.6099430877586259504400603527454e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.125 y[1] (analytic) = 0.35716374908541152930475579966225 y[1] (numeric) = 0.35716374908541152930475579966223 absolute error = 2e-32 relative error = 5.5996724335025484734982548835413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.126 y[1] (analytic) = 0.3578175479213910395681512972479 y[1] (numeric) = 0.3578175479213910395681512972479 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.127 y[1] (analytic) = 0.35847125219921151397566764502235 y[1] (numeric) = 0.35847125219921151397566764502234 absolute error = 1e-32 relative error = 2.7896239764417002237887312830705e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.128 y[1] (analytic) = 0.3591248620350734661569403123295 y[1] (numeric) = 0.35912486203507346615694031232949 absolute error = 1e-32 relative error = 2.7845468407095031215632187991259e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.129 y[1] (analytic) = 0.35977837754496334674820881747078 y[1] (numeric) = 0.35977837754496334674820881747077 absolute error = 1e-32 relative error = 2.7794888809709662934430003031217e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.13 y[1] (analytic) = 0.36043179884465406886154539455255 y[1] (numeric) = 0.36043179884465406886154539455253 absolute error = 2e-32 relative error = 5.5488999761144799368372389507983e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.131 y[1] (analytic) = 0.3610851260497055319427088438793 y[1] (numeric) = 0.36108512604970553194270884387927 absolute error = 3e-32 relative error = 8.3082901608830933069752970275336e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.7429 Order of pole = 7.44e-28 TOP MAIN SOLVE Loop x[1] = 0.132 y[1] (analytic) = 0.3617383592754651440235495548729 y[1] (numeric) = 0.36173835927546514402354955487289 absolute error = 1e-32 relative error = 2.7644289701620949068092216104432e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.007 Order of pole = 1.088e-27 TOP MAIN SOLVE Loop x[1] = 0.133 y[1] (analytic) = 0.36239149863706834237486628043208 y[1] (numeric) = 0.36239149863706834237486628043206 absolute error = 2e-32 relative error = 5.5188932619056306279402866846546e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.134 y[1] (analytic) = 0.36304454424943911256558995602425 y[1] (numeric) = 0.36304454424943911256558995602422 absolute error = 3e-32 relative error = 8.2634487902916196063766228819402e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.135 y[1] (analytic) = 0.36369749622729050593414469494075 y[1] (numeric) = 0.36369749622729050593414469494073 absolute error = 2e-32 relative error = 5.4990755249800024517001978455008e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.2858 Order of pole = 3.376e-27 TOP MAIN SOLVE Loop x[1] = 0.136 y[1] (analytic) = 0.36435035468512515547781105236245 y[1] (numeric) = 0.36435035468512515547781105236244 absolute error = 1e-32 relative error = 2.7446110238158241108284180039548e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.262 Order of pole = 3.557e-26 TOP MAIN SOLVE Loop x[1] = 0.137 y[1] (analytic) = 0.3650031197372357901658917345011 y[1] (numeric) = 0.36500311973723579016589173450108 absolute error = 2e-32 relative error = 5.4794052210835665823319830275120e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.138 y[1] (analytic) = 0.3656557914977057476824551344292 y[1] (numeric) = 0.36565579149770574768245513442918 absolute error = 2e-32 relative error = 5.4696248398202895672304937728947e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.139 y[1] (analytic) = 0.36630837008040948560440740261858 y[1] (numeric) = 0.36630837008040948560440740261856 absolute error = 2e-32 relative error = 5.4598806998621784194083535407784e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.14 y[1] (analytic) = 0.3669608555990130910206192070108 y[1] (numeric) = 0.36696085559901309102061920701078 absolute error = 2e-32 relative error = 5.4501725987510991193494552431563e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.141 y[1] (analytic) = 0.36761324816697478859780890398132 y[1] (numeric) = 0.3676132481669747885978089039813 absolute error = 2e-32 relative error = 5.4405003355362579495707535541814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.142 y[1] (analytic) = 0.36826554789754544709885952717625 y[1] (numeric) = 0.36826554789754544709885952717624 absolute error = 1e-32 relative error = 2.7154318553800975069122736017242e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.143 y[1] (analytic) = 0.36891775490376908435922280524412 y[1] (numeric) = 0.36891775490376908435922280524411 absolute error = 1e-32 relative error = 2.7106312632224668298342391475774e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.144 y[1] (analytic) = 0.36956986929848337072703934130595 y[1] (numeric) = 0.36956986929848337072703934130594 absolute error = 1e-32 relative error = 2.7058482930391418917803367394873e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.145 y[1] (analytic) = 0.37022189119432013097258012596165 y[1] (numeric) = 0.37022189119432013097258012596164 absolute error = 1e-32 relative error = 2.7010828473001485137594024550183e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.146 y[1] (analytic) = 0.37087382070370584467259071107715 y[1] (numeric) = 0.37087382070370584467259071107714 absolute error = 1e-32 relative error = 2.6963348291949359528835224731685e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.147 y[1] (analytic) = 0.37152565793886214507509564289958 y[1] (numeric) = 0.37152565793886214507509564289955 absolute error = 3e-32 relative error = 8.0748124278772603930395964015544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=7.6MB, alloc=4.1MB, time=0.81 x[1] = 0.148 y[1] (analytic) = 0.3721774030118063164501971395728 y[1] (numeric) = 0.37217740301180631645019713957279 absolute error = 1e-32 relative error = 2.6868906922010999099286653223868e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.149 y[1] (analytic) = 0.37282905603435178993237849924555 y[1] (numeric) = 0.37282905603435178993237849924553 absolute error = 2e-32 relative error = 5.3643887664584909497477763487286e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.15 y[1] (analytic) = 0.37348061711810863785979934005082 y[1] (numeric) = 0.37348061711810863785979934005081 absolute error = 1e-32 relative error = 2.6775151217118245687315054392236e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.151 y[1] (analytic) = 0.37413208637448406661604650167168 y[1] (numeric) = 0.37413208637448406661604650167166 absolute error = 2e-32 relative error = 5.3457056286749979985450841696885e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.745 Order of pole = 1.324e-26 TOP MAIN SOLVE Loop x[1] = 0.152 y[1] (analytic) = 0.37478346391468290797978127937108 y[1] (numeric) = 0.37478346391468290797978127937106 absolute error = 2e-32 relative error = 5.3364147369513810437766065761253e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.153 y[1] (analytic) = 0.37543474984970810898770061464435 y[1] (numeric) = 0.37543474984970810898770061464433 absolute error = 2e-32 relative error = 5.3271573843407637599148931615469e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.154 y[1] (analytic) = 0.37608594429036122031620693143665 y[1] (numeric) = 0.37608594429036122031620693143664 absolute error = 1e-32 relative error = 2.6589666941339854645328234811977e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.155 y[1] (analytic) = 0.37673704734724288318715848255198 y[1] (numeric) = 0.37673704734724288318715848255197 absolute error = 1e-32 relative error = 2.6543712837412787343541481987082e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.156 y[1] (analytic) = 0.37738805913075331480304935685872 y[1] (numeric) = 0.37738805913075331480304935685871 absolute error = 1e-32 relative error = 2.6497923710234055496410343324057e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.157 y[1] (analytic) = 0.3780389797510927923169456935729 y[1] (numeric) = 0.3780389797510927923169456935729 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.7243 Order of pole = 7.650e-27 TOP MAIN SOLVE Loop x[1] = 0.158 y[1] (analytic) = 0.37868980931826213534248215467645 y[1] (numeric) = 0.37868980931826213534248215467646 absolute error = 1e-32 relative error = 2.6406836819830300017607096488992e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.43 Order of pole = 3.214e-27 TOP MAIN SOLVE Loop x[1] = 0.159 y[1] (analytic) = 0.37934054794206318700920031981305 y[1] (numeric) = 0.37934054794206318700920031981305 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.16 y[1] (analytic) = 0.37999119573209929356848838920975 y[1] (numeric) = 0.37999119573209929356848838920975 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.161 y[1] (analytic) = 0.38064175279777578255535940871368 y[1] (numeric) = 0.38064175279777578255535940871367 absolute error = 1e-32 relative error = 2.6271421688499626293269501902109e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.162 y[1] (analytic) = 0.3812922192483004395112831663276 y[1] (numeric) = 0.3812922192483004395112831663276 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.163 y[1] (analytic) = 0.38194259519268398327326495109962 y[1] (numeric) = 0.38194259519268398327326495109962 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.164 y[1] (analytic) = 0.3825928807397405398343425122944 y[1] (numeric) = 0.38259288073974053983434251229441 absolute error = 1e-32 relative error = 2.6137444012719403079694126057814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.165 y[1] (analytic) = 0.38324307599808811478065080887695 y[1] (numeric) = 0.38324307599808811478065080887694 absolute error = 1e-32 relative error = 2.6093100244425256133484100866913e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.166 y[1] (analytic) = 0.38389318107614906431018249590568 y[1] (numeric) = 0.38389318107614906431018249590568 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.062 Order of pole = 5.285e-27 TOP MAIN SOLVE Loop x[1] = 0.167 y[1] (analytic) = 0.38454319608215056483835055489752 y[1] (numeric) = 0.38454319608215056483835055489752 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.168 y[1] (analytic) = 0.38519312112412508119543803902988 y[1] (numeric) = 0.38519312112412508119543803902987 absolute error = 1e-32 relative error = 2.5961003589099890290065480603308e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.169 y[1] (analytic) = 0.38584295630991083342099857062958 y[1] (numeric) = 0.38584295630991083342099857062957 absolute error = 1e-32 relative error = 2.5917280169209449304433539299207e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.17 y[1] (analytic) = 0.38649270174715226216024999720855 y[1] (numeric) = 0.38649270174715226216024999720855 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.162 Order of pole = 3.455e-27 TOP MAIN SOLVE Loop x[1] = 0.171 y[1] (analytic) = 0.3871423575433004926674824827931 y[1] (numeric) = 0.38714235754330049266748248279309 absolute error = 1e-32 relative error = 2.5830291636020570666736091194900e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.172 y[1] (analytic) = 0.38779192380561379742148128290815 y[1] (numeric) = 0.38779192380561379742148128290814 absolute error = 1e-32 relative error = 2.5787024912392558872674328365470e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.173 y[1] (analytic) = 0.38844140064115805735794352377755 y[1] (numeric) = 0.38844140064115805735794352377753 absolute error = 2e-32 relative error = 5.1487817639901850998375746420272e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.174 y[1] (analytic) = 0.3890907881568072217238474785433 y[1] (numeric) = 0.38909078815680722172384747854329 absolute error = 1e-32 relative error = 2.5700942567599175851705350883457e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.175 y[1] (analytic) = 0.3897400864592437665587121050553 y[1] (numeric) = 0.38974008645924376655871210505529 absolute error = 1e-32 relative error = 2.5658125369779555758467167235531e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.176 y[1] (analytic) = 0.39038929565495915180766398050172 y[1] (numeric) = 0.39038929565495915180766398050173 absolute error = 1e-32 relative error = 2.5615456446424644847609246327427e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.177 y[1] (analytic) = 0.3910384158502542770712082373097 y[1] (numeric) = 0.39103841585025427707120823730969 absolute error = 1e-32 relative error = 2.5572935022909456656597633427306e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.178 y[1] (analytic) = 0.39168744715123993599657967181572 y[1] (numeric) = 0.39168744715123993599657967181572 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.179 y[1] (analytic) = 0.39233638966383726931552986166345 y[1] (numeric) = 0.39233638966383726931552986166345 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 memory used=11.4MB, alloc=4.1MB, time=1.25 TOP MAIN SOLVE Loop x[1] = 0.18 y[1] (analytic) = 0.39298524349377821653338588920742 y[1] (numeric) = 0.39298524349377821653338588920742 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.181 y[1] (analytic) = 0.39363400874660596627419612586998 y[1] (numeric) = 0.39363400874660596627419612586997 absolute error = 1e-32 relative error = 2.5404309022590830908746821875803e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.182 y[1] (analytic) = 0.39428268552767540528675848589678 y[1] (numeric) = 0.39428268552767540528675848589677 absolute error = 1e-32 relative error = 2.5362513666094227095346015338908e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.15 Order of pole = 2.304e-27 TOP MAIN SOLVE Loop x[1] = 0.183 y[1] (analytic) = 0.3949312739421535661163066067721 y[1] (numeric) = 0.3949312739421535661163066067721 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.184 y[1] (analytic) = 0.39557977409502007344660955717962 y[1] (numeric) = 0.39557977409502007344660955717964 absolute error = 2e-32 relative error = 5.0558702213111402410439956869113e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.185 y[1] (analytic) = 0.39622818609106758911722091131992 y[1] (numeric) = 0.39622818609106758911722091131993 absolute error = 1e-32 relative error = 2.5237982432934838678159687374717e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.186 y[1] (analytic) = 0.39687651003490225582059336011975 y[1] (numeric) = 0.39687651003490225582059336011974 absolute error = 1e-32 relative error = 2.5196754524777937670656061608294e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.187 y[1] (analytic) = 0.39752474603094413948375545488978 y[1] (numeric) = 0.39752474603094413948375545488977 absolute error = 1e-32 relative error = 2.5155666659357049289419579550666e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.188 y[1] (analytic) = 0.39817289418342767033922759680848 y[1] (numeric) = 0.39817289418342767033922759680847 absolute error = 1e-32 relative error = 2.5114718118891502856106882997194e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.189 y[1] (analytic) = 0.39882095459640208268983499573635 y[1] (numeric) = 0.39882095459640208268983499573633 absolute error = 2e-32 relative error = 5.0147816381011259172750138561045e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.864 Order of pole = 4.854e-27 TOP MAIN SOLVE Loop x[1] = 0.19 y[1] (analytic) = 0.39946892737373185337205602380502 y[1] (numeric) = 0.39946892737373185337205602380501 absolute error = 1e-32 relative error = 2.5033236166186919093485788124559e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.191 y[1] (analytic) = 0.4001168126190971389225251824907 y[1] (numeric) = 0.40011681261909713892252518249069 absolute error = 1e-32 relative error = 2.4992701342744603555327893862158e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.192 y[1] (analytic) = 0.40076461043599421145229078598468 y[1] (numeric) = 0.40076461043599421145229078598466 absolute error = 2e-32 relative error = 4.9904606043537328907886145790347e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.193 y[1] (analytic) = 0.40141232092773589323340843813388 y[1] (numeric) = 0.40141232092773589323340843813387 absolute error = 1e-32 relative error = 2.4912040509589256865781686153396e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.194 y[1] (analytic) = 0.40205994419745199000243244455918 y[1] (numeric) = 0.40205994419745199000243244455916 absolute error = 2e-32 relative error = 4.9743826234473092698008439621747e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.195 y[1] (analytic) = 0.40270748034808972298534845529245 y[1] (numeric) = 0.40270748034808972298534845529244 absolute error = 1e-32 relative error = 2.4831920160400953541195069188469e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.7932 Order of pole = 3.172e-27 TOP MAIN SOLVE Loop x[1] = 0.196 y[1] (analytic) = 0.40335492948241415964847187593125 y[1] (numeric) = 0.40335492948241415964847187593124 absolute error = 1e-32 relative error = 2.4792060959393801646887403600227e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.197 y[1] (analytic) = 0.40400229170300864317981791641822 y[1] (numeric) = 0.40400229170300864317981791641821 absolute error = 1e-32 relative error = 2.4752334839108362059327762033569e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.198 y[1] (analytic) = 0.40464956711227522070543056564522 y[1] (numeric) = 0.40464956711227522070543056564522 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.199 y[1] (analytic) = 0.40529675581243507024513928669078 y[1] (numeric) = 0.40529675581243507024513928669077 absolute error = 1e-32 relative error = 2.4673279162954469522133613166094e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.2 y[1] (analytic) = 0.40594385790552892641219382116172 y[1] (numeric) = 0.40594385790552892641219382116172 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.201 y[1] (analytic) = 0.40659087349341750486120917136522 y[1] (numeric) = 0.40659087349341750486120917136521 absolute error = 1e-32 relative error = 2.4594747821268779187128724528129e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.202 y[1] (analytic) = 0.40723780267778192548883459542622 y[1] (numeric) = 0.40723780267778192548883459542621 absolute error = 1e-32 relative error = 2.4555677135681539380510691278302e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.203 y[1] (analytic) = 0.40788464556012413439154230253498 y[1] (numeric) = 0.40788464556012413439154230253497 absolute error = 1e-32 relative error = 2.4516735574264102803769403068270e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.204 y[1] (analytic) = 0.4085314022417673245849134728038 y[1] (numeric) = 0.40853140224176732458491347280378 absolute error = 2e-32 relative error = 4.8955844985850258666229118399177e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.205 y[1] (analytic) = 0.4091780728238563554887812482847 y[1] (numeric) = 0.40917807282385635548878124828468 absolute error = 2e-32 relative error = 4.8878474503714749732527823591301e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.206 y[1] (analytic) = 0.40982465740735817118257244810055 y[1] (numeric) = 0.40982465740735817118257244810055 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.207 y[1] (analytic) = 0.41047115609306221743517195092792 y[1] (numeric) = 0.41047115609306221743517195092793 absolute error = 1e-32 relative error = 2.4362247752513931094456779237160e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.1795 Order of pole = 1.956e-27 TOP MAIN SOLVE Loop x[1] = 0.208 y[1] (analytic) = 0.41111756898158085751361596179755 y[1] (numeric) = 0.41111756898158085751361596179755 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.209 y[1] (analytic) = 0.41176389617334978677490273690942 y[1] (numeric) = 0.41176389617334978677490273690941 absolute error = 1e-32 relative error = 2.4285762042114708202424305969972e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.21 y[1] (analytic) = 0.4124101377686284460451917794556 y[1] (numeric) = 0.41241013776862844604519177945558 absolute error = 2e-32 relative error = 4.8495413105534420906762168276315e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.211 y[1] (analytic) = 0.41305629386750043379064504087168 y[1] (numeric) = 0.41305629386750043379064504087167 absolute error = 1e-32 relative error = 2.4209775152845836325104135722510e-30 % Correct digits = 31 h = 0.001 memory used=15.2MB, alloc=4.2MB, time=1.69 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.212 y[1] (analytic) = 0.41370236456987391708414626506528 y[1] (numeric) = 0.41370236456987391708414626506526 absolute error = 2e-32 relative error = 4.8343934463110906226892467888894e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.213 y[1] (analytic) = 0.4143483499754820413721172975668 y[1] (numeric) = 0.4143483499754820413721172975668 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.214 y[1] (analytic) = 0.414994250183883339045632946789 y[1] (numeric) = 0.41499425018388333904563294678899 absolute error = 1e-32 relative error = 2.4096719401700179644343709282360e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.215 y[1] (analytic) = 0.4156400652944621368200188302402 y[1] (numeric) = 0.41564006529446213682001883024019 absolute error = 1e-32 relative error = 2.4059278291459831967712848085518e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.216 y[1] (analytic) = 0.4162857954064289619270995641936 y[1] (numeric) = 0.41628579540642896192709956419359 absolute error = 1e-32 relative error = 2.4021958256434814073780922361637e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.017 Order of pole = 6.369e-27 TOP MAIN SOLVE Loop x[1] = 0.217 y[1] (analytic) = 0.4169314406188209471242476605478 y[1] (numeric) = 0.41693144061882094712424766054779 absolute error = 1e-32 relative error = 2.3984758705550555029586306137641e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.218 y[1] (analytic) = 0.41757700103050223452436657900872 y[1] (numeric) = 0.41757700103050223452436657900871 absolute error = 1e-32 relative error = 2.3947679051580578493724151693529e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.219 y[1] (analytic) = 0.41822247674016437825092454586312 y[1] (numeric) = 0.41822247674016437825092454586311 absolute error = 1e-32 relative error = 2.3910718711115224117353875120286e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.22 y[1] (analytic) = 0.4188678678463267459221389920879 y[1] (numeric) = 0.4188678678463267459221389920879 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.221 y[1] (analytic) = 0.41951317444733691896839478293755 y[1] (numeric) = 0.41951317444733691896839478293755 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.222 y[1] (analytic) = 0.4201583966413710917869628080666 y[1] (numeric) = 0.42015839664137109178696280806658 absolute error = 2e-32 relative error = 4.7601095586508363749145581781449e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.223 y[1] (analytic) = 0.42080353452643446973806897527025 y[1] (numeric) = 0.42080353452643446973806897527022 absolute error = 3e-32 relative error = 7.1292176843907733642524001347707e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.224 y[1] (analytic) = 0.42144858820036166598634720166162 y[1] (numeric) = 0.4214485882003616659863472016616 absolute error = 2e-32 relative error = 4.7455373110638497105485063424536e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.225 y[1] (analytic) = 0.42209355776081709719169362314755 y[1] (numeric) = 0.42209355776081709719169362314752 absolute error = 3e-32 relative error = 7.1074290162466196738540412363767e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.226 y[1] (analytic) = 0.4227384433052953780535229460192 y[1] (numeric) = 0.42273844330529537805352294601918 absolute error = 2e-32 relative error = 4.7310577773870211450335719223912e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.227 y[1] (analytic) = 0.42338324493112171471241164294342 y[1] (numeric) = 0.42338324493112171471241164294339 absolute error = 3e-32 relative error = 7.0857787499079144953430751080344e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.228 y[1] (analytic) = 0.42402796273545229701309654923042 y[1] (numeric) = 0.4240279627354522970130965492304 absolute error = 2e-32 relative error = 4.7166700684025035215495047064169e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.229 y[1] (analytic) = 0.42467259681527468963278134357535 y[1] (numeric) = 0.42467259681527468963278134357533 absolute error = 2e-32 relative error = 4.7095103733994067090790914156592e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.23 y[1] (analytic) = 0.4253171472674082220786874001326 y[1] (numeric) = 0.42531714726740822207868740013258 absolute error = 2e-32 relative error = 4.7023733062484469139585942688441e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.231 y[1] (analytic) = 0.42596161418850437755876957539958 y[1] (numeric) = 0.42596161418850437755876957539954 absolute error = 4e-32 relative error = 9.3905175179232144151119744948887e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.232 y[1] (analytic) = 0.4266059976750471807295016435735 y[1] (numeric) = 0.42660599767504718072950164357346 absolute error = 4e-32 relative error = 9.3763332484764218516968049491936e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.233 y[1] (analytic) = 0.42725029782335358432462031742092 y[1] (numeric) = 0.42725029782335358432462031742088 absolute error = 4e-32 relative error = 9.3621935909189183074480589604347e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.234 y[1] (analytic) = 0.427894514729573854668701087883 y[1] (numeric) = 0.42789451472957385466870108788297 absolute error = 3e-32 relative error = 7.0110737500245303421395539552909e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.235 y[1] (analytic) = 0.42853864848969195607942348425428 y[1] (numeric) = 0.42853864848969195607942348425424 absolute error = 4e-32 relative error = 9.3340472652753413655459253983921e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.236 y[1] (analytic) = 0.4291826991995259341623677974413 y[1] (numeric) = 0.42918269919952593416236779744124 absolute error = 6e-32 relative error = 1.3980060266153961196253697801098e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.367 Order of pole = 6.296e-27 TOP MAIN SOLVE Loop x[1] = 0.237 y[1] (analytic) = 0.4298266669547282980021698211583 y[1] (numeric) = 0.42982666695472829800216982115825 absolute error = 5e-32 relative error = 1.1632596077447720159901901699746e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.238 y[1] (analytic) = 0.43047055185078640125384474957745 y[1] (numeric) = 0.4304705518507864012538447495774 absolute error = 5e-32 relative error = 1.1615196390328565967839485339695e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.239 y[1] (analytic) = 0.43111435398302282213807602455218 y[1] (numeric) = 0.43111435398302282213807602455213 absolute error = 5e-32 relative error = 1.1597850903839074626614152835979e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.24 y[1] (analytic) = 0.43175807344659574234424965070802 y[1] (numeric) = 0.43175807344659574234424965070797 absolute error = 5e-32 relative error = 1.1580559362993477818589108157180e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.241 y[1] (analytic) = 0.432401710336499324844999292079 y[1] (numeric) = 0.43240171033649932484499929207896 absolute error = 4e-32 relative error = 9.2506572115248112546765303230873e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.242 y[1] (analytic) = 0.43304526474756409062601232919808 y[1] (numeric) = 0.43304526474756409062601232919803 absolute error = 5e-32 relative error = 1.1546137106278392445141106731844e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.022 Order of pole = 2.091e-27 TOP MAIN SOLVE Loop memory used=19.0MB, alloc=4.2MB, time=2.12 x[1] = 0.243 y[1] (analytic) = 0.43368873677445729433483199026555 y[1] (numeric) = 0.43368873677445729433483199026549 absolute error = 6e-32 relative error = 1.3834807066064848758190948305703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.244 y[1] (analytic) = 0.43433212651168329885237567386175 y[1] (numeric) = 0.4343321265116832988523756738617 absolute error = 5e-32 relative error = 1.1511927612072469406292564191754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.245 y[1] (analytic) = 0.43497543405358394879087465328248 y[1] (numeric) = 0.43497543405358394879087465328243 absolute error = 5e-32 relative error = 1.1494902030223752264263202902253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.246 y[1] (analytic) = 0.43561865949433894292192549360308 y[1] (numeric) = 0.43561865949433894292192549360302 absolute error = 6e-32 relative error = 1.3773514676723742713667273567494e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.247 y[1] (analytic) = 0.43626180292796620553832872166792 y[1] (numeric) = 0.43626180292796620553832872166788 absolute error = 4e-32 relative error = 9.1688063753325292012777122503730e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.248 y[1] (analytic) = 0.43690486444832225675337556600488 y[1] (numeric) = 0.43690486444832225675337556600483 absolute error = 5e-32 relative error = 1.1444139003381152047336409573935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.249 y[1] (analytic) = 0.43754784414910258174122892783045 y[1] (numeric) = 0.43754784414910258174122892783041 absolute error = 4e-32 relative error = 9.1418574071111763007328329913170e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.25 y[1] (analytic) = 0.43819074212384199892203015549625 y[1] (numeric) = 0.43819074212384199892203015549621 absolute error = 4e-32 relative error = 9.1284447969225126835283763310228e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.251 y[1] (analytic) = 0.43883355846591502709534867258292 y[1] (numeric) = 0.43883355846591502709534867258287 absolute error = 5e-32 relative error = 1.1393841477117477053723186629860e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.252 y[1] (analytic) = 0.43947629326853625152557705403518 y[1] (numeric) = 0.43947629326853625152557705403513 absolute error = 5e-32 relative error = 1.1377177965194166403618423141476e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.253 y[1] (analytic) = 0.44011894662476068898285975490752 y[1] (numeric) = 0.4401189466247606889828597549075 absolute error = 2e-32 relative error = 4.5442260901009841486229093456664e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.254 y[1] (analytic) = 0.44076151862748415174312937211712 y[1] (numeric) = 0.44076151862748415174312937211708 absolute error = 4e-32 relative error = 9.0752024188859752232002658541544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.255 y[1] (analytic) = 0.44140400936944361055081006074105 y[1] (numeric) = 0.441404009369443610550810060741 absolute error = 5e-32 relative error = 1.1327491128009058882802455691726e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.256 y[1] (analytic) = 0.44204641894321755654773353251605 y[1] (numeric) = 0.44204641894321755654773353251601 absolute error = 4e-32 relative error = 9.0488234461046822904767883868952e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.257 y[1] (analytic) = 0.44268874744122636217179893496412 y[1] (numeric) = 0.44268874744122636217179893496409 absolute error = 3e-32 relative error = 6.7767703998355988235838563020679e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.258 y[1] (analytic) = 0.44333099495573264102889384464958 y[1] (numeric) = 0.44333099495573264102889384464953 absolute error = 5e-32 relative error = 1.1278254976283033316005314210448e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.259 y[1] (analytic) = 0.4439731615788416067415796071402 y[1] (numeric) = 0.44397316157884160674157960714016 absolute error = 4e-32 relative error = 9.0095536085454848321453715310926e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.26 y[1] (analytic) = 0.44461524740250143077803031897182 y[1] (numeric) = 0.44461524740250143077803031897178 absolute error = 4e-32 relative error = 8.9965425688131625049674596617487e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.261 y[1] (analytic) = 0.44525725251850359926470087297432 y[1] (numeric) = 0.44525725251850359926470087297428 absolute error = 4e-32 relative error = 8.9835706827341832194424984643426e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.262 y[1] (analytic) = 0.4458991770184832687861856773869 y[1] (numeric) = 0.44589917701848326878618567738685 absolute error = 5e-32 relative error = 1.1213297215376429397600816983678e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.263 y[1] (analytic) = 0.44654102099391962117571591094708 y[1] (numeric) = 0.44654102099391962117571591094704 absolute error = 4e-32 relative error = 8.9577436605862610657379979926240e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.264 y[1] (analytic) = 0.4471827845361362172997294902632 y[1] (numeric) = 0.44718278453613621729972949026317 absolute error = 3e-32 relative error = 6.7086661287998983399557767297686e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.265 y[1] (analytic) = 0.4478244677363013498399343019548 y[1] (numeric) = 0.44782446773630134983993430195477 absolute error = 3e-32 relative error = 6.6990533482117179119245859919804e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.266 y[1] (analytic) = 0.44846607068542839507627168995415 y[1] (numeric) = 0.4484660706854283950762716899541 absolute error = 5e-32 relative error = 1.1149115455619819101887578218590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.267 y[1] (analytic) = 0.44910759347437616367417368768945 y[1] (numeric) = 0.44910759347437616367417368768941 absolute error = 4e-32 relative error = 8.9065516996835637404563318408736e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.268 y[1] (analytic) = 0.44974903619384925047949404530452 y[1] (numeric) = 0.44974903619384925047949404530447 absolute error = 5e-32 relative error = 1.1117311206076531880225718436684e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.269 y[1] (analytic) = 0.45039039893439838332447972329815 y[1] (numeric) = 0.45039039893439838332447972329811 absolute error = 4e-32 relative error = 8.8811839894096410960528028659135e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.27 y[1] (analytic) = 0.45103168178642077084813620568292 y[1] (numeric) = 0.45103168178642077084813620568288 absolute error = 4e-32 relative error = 8.8685566037335254934820245117692e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.271 y[1] (analytic) = 0.4516728848401604493343267276559 y[1] (numeric) = 0.45167288484016044933432672765586 absolute error = 4e-32 relative error = 8.8559666392538346160153615449389e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.272 y[1] (analytic) = 0.45231400818570862857093231454168 y[1] (numeric) = 0.45231400818570862857093231454164 absolute error = 4e-32 relative error = 8.8434139284001607296489591216149e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.273 y[1] (analytic) = 0.45295505191300403673338639010325 y[1] (numeric) = 0.4529550519130040367333863901032 absolute error = 5e-32 relative error = 1.1038622880753995057876239474384e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.252 Order of pole = 1.541e-25 TOP MAIN SOLVE Loop x[1] = 0.274 y[1] (analytic) = 0.453596016111833264295884632919 y[1] (numeric) = 0.45359601611183326429588463291896 absolute error = 4e-32 relative error = 8.8184196022872638060061765974523e-30 % Correct digits = 31 h = 0.001 memory used=22.8MB, alloc=4.2MB, time=2.56 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.275 y[1] (analytic) = 0.45423690087183110697355773909262 y[1] (numeric) = 0.45423690087183110697355773909259 absolute error = 3e-32 relative error = 6.6044832426471871034136388440817e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.276 y[1] (analytic) = 0.45487770628248090769888178779795 y[1] (numeric) = 0.45487770628248090769888178779791 absolute error = 4e-32 relative error = 8.7935723047195980043195610945405e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.277 y[1] (analytic) = 0.45551843243311489763558800276652 y[1] (numeric) = 0.45551843243311489763558800276651 absolute error = 1e-32 relative error = 2.1953008458045941352599831765391e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.278 y[1] (analytic) = 0.45615907941291453623332085750568 y[1] (numeric) = 0.45615907941291453623332085750566 absolute error = 2e-32 relative error = 4.3844353653423675569870343410294e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.279 y[1] (analytic) = 0.45679964731091085032628068449445 y[1] (numeric) = 0.45679964731091085032628068449442 absolute error = 3e-32 relative error = 6.5674306398010735663300077420062e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.28 y[1] (analytic) = 0.45744013621598477227907421855438 y[1] (numeric) = 0.45744013621598477227907421855435 absolute error = 3e-32 relative error = 6.5582351929510642356442767897795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.281 y[1] (analytic) = 0.45808054621686747718298383173758 y[1] (numeric) = 0.45808054621686747718298383173755 absolute error = 3e-32 relative error = 6.5490665883456235032563765068007e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.282 y[1] (analytic) = 0.45872087740214071910585360112962 y[1] (numeric) = 0.45872087740214071910585360112961 absolute error = 1e-32 relative error = 2.1799749025230070901409721993629e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.283 y[1] (analytic) = 0.45936112986023716639877779164142 y[1] (numeric) = 0.45936112986023716639877779164141 absolute error = 1e-32 relative error = 2.1769364776341759928272906567382e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.284 y[1] (analytic) = 0.4600013036794407360627648328757 y[1] (numeric) = 0.46000130367944073606276483287567 absolute error = 3e-32 relative error = 6.5217206473192910129423041670760e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.285 y[1] (analytic) = 0.46064139894788692717853742221752 y[1] (numeric) = 0.46064139894788692717853742221751 absolute error = 1e-32 relative error = 2.1708860781597520814194958225159e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.286 y[1] (analytic) = 0.46128141575356315340261699513082 y[1] (numeric) = 0.46128141575356315340261699513081 absolute error = 1e-32 relative error = 2.1678740262413780806797071332051e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.287 y[1] (analytic) = 0.46192135418430907453282846796265 y[1] (numeric) = 0.46192135418430907453282846796263 absolute error = 2e-32 relative error = 4.3297413767149404699120593060867e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.288 y[1] (analytic) = 0.46256121432781692714634887808702 y[1] (numeric) = 0.46256121432781692714634887808701 absolute error = 1e-32 relative error = 2.1618760264048002177558696124029e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.289 y[1] (analytic) = 0.46320099627163185431341132067942 y[1] (numeric) = 0.46320099627163185431341132067942 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.29 y[1] (analytic) = 0.4638407001031522343897634105277 y[1] (numeric) = 0.4638407001031522343897634105277 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.291 y[1] (analytic) = 0.46448032590963000889096738077968 y[1] (numeric) = 0.46448032590963000889096738077966 absolute error = 2e-32 relative error = 4.3058874368537258764001264955080e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.292 y[1] (analytic) = 0.46511987377817100945161686812842 y[1] (numeric) = 0.46511987377817100945161686812841 absolute error = 1e-32 relative error = 2.1499833835888264875074045457221e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.293 y[1] (analytic) = 0.46575934379573528387253342537275 y[1] (numeric) = 0.46575934379573528387253342537273 absolute error = 2e-32 relative error = 4.2940630749366685277609263083400e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.294 y[1] (analytic) = 0.46639873604913742125899384729032 y[1] (numeric) = 0.46639873604913742125899384729031 absolute error = 1e-32 relative error = 2.1440881432719942827795958311986e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.295 y[1] (analytic) = 0.467038050625046876253027494059 y[1] (numeric) = 0.46703805062504687625302749405897 absolute error = 3e-32 relative error = 6.4234594932576408046441969624499e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.3519 Order of pole = 3.38e-28 TOP MAIN SOLVE Loop x[1] = 0.296 y[1] (analytic) = 0.46767728760998829236281094778688 y[1] (numeric) = 0.46767728760998829236281094778687 absolute error = 1e-32 relative error = 2.1382265645406611957425298402277e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.297 y[1] (analytic) = 0.46831644709034182439217554180228 y[1] (numeric) = 0.46831644709034182439217554180225 absolute error = 3e-32 relative error = 6.4059249224302324269818933192489e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.298 y[1] (analytic) = 0.46895552915234345997323155894188 y[1] (numeric) = 0.46895552915234345997323155894187 absolute error = 1e-32 relative error = 2.1323983572760969755222231129566e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.299 y[1] (analytic) = 0.46959453388208534020510120390238 y[1] (numeric) = 0.46959453388208534020510120390237 absolute error = 1e-32 relative error = 2.1294966781940840826388803456815e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.3 y[1] (analytic) = 0.47023346136551607940174081551925 y[1] (numeric) = 0.47023346136551607940174081551925 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6294 Order of pole = 2.867e-27 TOP MAIN SOLVE Loop x[1] = 0.301 y[1] (analytic) = 0.47087231168844108395182119735382 y[1] (numeric) = 0.47087231168844108395182119735382 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.302 y[1] (analytic) = 0.47151108493652287029362340894135 y[1] (numeric) = 0.47151108493652287029362340894135 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.303 y[1] (analytic) = 0.4721497811952813820078958752267 y[1] (numeric) = 0.47214978119528138200789587522668 absolute error = 2e-32 relative error = 4.2359439306248434225570931021271e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.304 y[1] (analytic) = 0.472788400550094306031607237831 y[1] (numeric) = 0.47278840055009430603160723783098 absolute error = 2e-32 relative error = 4.2302222255727484863505065456911e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.305 y[1] (analytic) = 0.47342694308619738799551798860175 y[1] (numeric) = 0.47342694308619738799551798860173 absolute error = 2e-32 relative error = 4.2245166423404375189661700576914e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=26.7MB, alloc=4.3MB, time=3.01 x[1] = 0.306 y[1] (analytic) = 0.4740654088886847466884825931437 y[1] (numeric) = 0.47406540888868474668848259314369 absolute error = 1e-32 relative error = 2.1094135561255638973204769006668e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.307 y[1] (analytic) = 0.47470379804250918765138252946148 y[1] (numeric) = 0.47470379804250918765138252946147 absolute error = 1e-32 relative error = 2.1065767835092213275440460676828e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.308 y[1] (analytic) = 0.47534211063248251590357943421345 y[1] (numeric) = 0.47534211063248251590357943421344 absolute error = 1e-32 relative error = 2.1037479693718197857636998579417e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.309 y[1] (analytic) = 0.4759803467432758478047663661341 y[1] (numeric) = 0.47598034674327584780476636613408 absolute error = 2e-32 relative error = 4.2018541599128617947993661485721e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.31 y[1] (analytic) = 0.47661850645941992205508406268062 y[1] (numeric) = 0.4766185064594199220550840626806 absolute error = 2e-32 relative error = 4.1962281633944133597028019383599e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.311 y[1] (analytic) = 0.47725658986530540983635798165308 y[1] (numeric) = 0.47725658986530540983635798165305 absolute error = 3e-32 relative error = 6.2859268236540858185127022421067e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.312 y[1] (analytic) = 0.4778945970451832240973008841821 y[1] (numeric) = 0.47789459704518322409730088418209 absolute error = 1e-32 relative error = 2.0925116253311681159401233521997e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.313 y[1] (analytic) = 0.47853252808316482798551472883072 y[1] (numeric) = 0.4785325280831648279855147288307 absolute error = 2e-32 relative error = 4.1794442020719169206813714620987e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.314 y[1] (analytic) = 0.47917038306322254242911470837472 y[1] (numeric) = 0.4791703830632225424291147083747 absolute error = 2e-32 relative error = 4.1738806710349555393565105901023e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.315 y[1] (analytic) = 0.47980816206918985287078737087102 y[1] (numeric) = 0.479808162069189852870787370871 absolute error = 2e-32 relative error = 4.1683325922904864657615255854471e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.316 y[1] (analytic) = 0.48044586518476171515708392465328 y[1] (numeric) = 0.48044586518476171515708392465326 absolute error = 2e-32 relative error = 4.1627999009438325594619873180809e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.502 Order of pole = 2.006e-27 TOP MAIN SOLVE Loop x[1] = 0.317 y[1] (analytic) = 0.48108349249349486058573903267418 y[1] (numeric) = 0.48108349249349486058573903267416 absolute error = 2e-32 relative error = 4.1572825324640373156394478835391e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.318 y[1] (analytic) = 0.48172104407880810011379465490532 y[1] (numeric) = 0.48172104407880810011379465490531 absolute error = 1e-32 relative error = 2.0758902113406592974157445731237e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.319 y[1] (analytic) = 0.48235852002398262772929779807538 y[1] (numeric) = 0.48235852002398262772929779807536 absolute error = 2e-32 relative error = 4.1462935077845437172881261976290e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9294 Order of pole = 6.570e-27 TOP MAIN SOLVE Loop x[1] = 0.32 y[1] (analytic) = 0.48299592041216232298933037963902 y[1] (numeric) = 0.48299592041216232298933037963902 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.321 y[1] (analytic) = 0.48363324532635405272711880729358 y[1] (numeric) = 0.48363324532635405272711880729356 absolute error = 2e-32 relative error = 4.1353650091825405214799884568738e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.322 y[1] (analytic) = 0.48427049484942797193096031636205 y[1] (numeric) = 0.48427049484942797193096031636205 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.198 Order of pole = 3.666e-27 TOP MAIN SOLVE Loop x[1] = 0.323 y[1] (analytic) = 0.48490766906411782379769259471515 y[1] (numeric) = 0.48490766906411782379769259471513 absolute error = 2e-32 relative error = 4.1244965332473350880888077109387e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.324 y[1] (analytic) = 0.48554476805302123896342275837658 y[1] (numeric) = 0.48554476805302123896342275837657 absolute error = 1e-32 relative error = 2.0595423239959626426952396012741e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.769 Order of pole = 5.160e-27 TOP MAIN SOLVE Loop x[1] = 0.325 y[1] (analytic) = 0.486181791898600033914221320324 y[1] (numeric) = 0.48618179189860003391422132032398 absolute error = 2e-32 relative error = 4.1136875821485469807913982105646e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.326 y[1] (analytic) = 0.48681874068318050857947642002995 y[1] (numeric) = 0.48681874068318050857947642002992 absolute error = 3e-32 relative error = 6.1624579115215015549876376278921e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.327 y[1] (analytic) = 0.4874556144889537431105932517638 y[1] (numeric) = 0.48745561448895374311059325176379 absolute error = 1e-32 relative error = 2.0514688317794748709709389094568e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.328 y[1] (analytic) = 0.48809241339797589384771334536872 y[1] (numeric) = 0.48809241339797589384771334536871 absolute error = 1e-32 relative error = 2.0487923445444541982085030891697e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.329 y[1] (analytic) = 0.48872913749216848847711811391678 y[1] (numeric) = 0.48872913749216848847711811391676 absolute error = 2e-32 relative error = 4.0922462905785896057386938170770e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.33 y[1] (analytic) = 0.4893657868533187203819708881094 y[1] (numeric) = 0.48936578685331872038197088810937 absolute error = 3e-32 relative error = 6.1303836120019001507308765003911e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.331 y[1] (analytic) = 0.4900023615630797421890415073074 y[1] (numeric) = 0.49000236156307974218904150730738 absolute error = 2e-32 relative error = 4.0816129816601565611055372886144e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.332 y[1] (analytic) = 0.49063886170297095851404743142805 y[1] (numeric) = 0.49063886170297095851404743142802 absolute error = 3e-32 relative error = 6.1144769282792303989869260588664e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.882 Order of pole = 5.65e-28 TOP MAIN SOLVE Loop x[1] = 0.333 y[1] (analytic) = 0.49127528735437831790823527641628 y[1] (numeric) = 0.49127528735437831790823527641624 absolute error = 4e-32 relative error = 8.1420745210711674306941056154497e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.334 y[1] (analytic) = 0.491911638598554604008816658369 y[1] (numeric) = 0.49191163859855460400881665836896 absolute error = 4e-32 relative error = 8.1315416959759514374082220203788e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.335 y[1] (analytic) = 0.49254791551661972589586225744742 y[1] (numeric) = 0.49254791551661972589586225744739 absolute error = 3e-32 relative error = 6.0907779842157771539889530371768e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.336 y[1] (analytic) = 0.49318411818956100765824808224052 y[1] (numeric) = 0.4931841181895610076582480822405 absolute error = 2e-32 relative error = 4.0552806269225338639627330297297e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.337 y[1] (analytic) = 0.49382024669823347717123802802875 y[1] (numeric) = 0.49382024669823347717123802802871 absolute error = 4e-32 relative error = 8.1001134051199465233382567523436e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=30.5MB, alloc=4.3MB, time=3.45 TOP MAIN SOLVE Loop x[1] = 0.338 y[1] (analytic) = 0.4944563011233601540882769782297 y[1] (numeric) = 0.49445630112336015408827697822966 absolute error = 4e-32 relative error = 8.0896936512131820212346446945114e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.339 y[1] (analytic) = 0.49509228154553233704955889697592 y[1] (numeric) = 0.49509228154553233704955889697587 absolute error = 5e-32 relative error = 1.0099127347312852684243944399682e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.34 y[1] (analytic) = 0.49572818804520989010992460206855 y[1] (numeric) = 0.4957281880452098901099246020685 absolute error = 5e-32 relative error = 1.0086172464221472213847157327777e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.341 y[1] (analytic) = 0.49636402070272152838863419126332 y[1] (numeric) = 0.49636402070272152838863419126329 absolute error = 3e-32 relative error = 6.0439513640670112630973119292450e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.342 y[1] (analytic) = 0.49699977959826510294354942076708 y[1] (numeric) = 0.49699977959826510294354942076703 absolute error = 5e-32 relative error = 1.0060366634451227230405240716084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.343 y[1] (analytic) = 0.49763546481190788487225170274922 y[1] (numeric) = 0.49763546481190788487225170274919 absolute error = 3e-32 relative error = 6.0285092444806261042137437519827e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.344 y[1] (analytic) = 0.498271076423586848642611798399 y[1] (numeric) = 0.49827107642358684864261179839896 absolute error = 4e-32 relative error = 8.0277587627814602748691136823416e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.8897 Order of pole = 2.978e-27 TOP MAIN SOLVE Loop x[1] = 0.345 y[1] (analytic) = 0.49890661451310895465531773437842 y[1] (numeric) = 0.4989066145131089546553177343784 absolute error = 2e-32 relative error = 4.0087662536842338556661598016232e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.346 y[1] (analytic) = 0.4995420791601514310408579632354 y[1] (numeric) = 0.49954207916015143104085796323537 absolute error = 3e-32 relative error = 6.0055000872873625665175074770424e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.347 y[1] (analytic) = 0.50017747044426205469344732224325 y[1] (numeric) = 0.50017747044426205469344732224322 absolute error = 3e-32 relative error = 5.9978711102988574370456177895579e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.348 y[1] (analytic) = 0.5008127884448594315443739200276 y[1] (numeric) = 0.50081278844485943154437392002758 absolute error = 2e-32 relative error = 3.9935082452875588155580532336209e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.349 y[1] (analytic) = 0.5014480332412332760772356960242 y[1] (numeric) = 0.50144803324123327607723569602416 absolute error = 4e-32 relative error = 7.9768983719908353350535186011458e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.35 y[1] (analytic) = 0.50208320491254469008752605408678 y[1] (numeric) = 0.50208320491254469008752605408674 absolute error = 4e-32 relative error = 7.9668070169699055691017889561757e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.351 y[1] (analytic) = 0.50271830353782644068901866823445 y[1] (numeric) = 0.50271830353782644068901866823442 absolute error = 3e-32 relative error = 5.9675567388094286265848513706130e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.352 y[1] (analytic) = 0.50335332919598323756939229539502 y[1] (numeric) = 0.50335332919598323756939229539501 absolute error = 1e-32 relative error = 1.9866760424477987254943395243493e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.353 y[1] (analytic) = 0.50398828196579200949752720687185 y[1] (numeric) = 0.50398828196579200949752720687183 absolute error = 2e-32 relative error = 3.9683462325732191333654625921692e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.354 y[1] (analytic) = 0.50462316192590218008489566694045 y[1] (numeric) = 0.50462316192590218008489566694042 absolute error = 3e-32 relative error = 5.9450303243126081207519958148459e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.355 y[1] (analytic) = 0.50525796915483594280345974327588 y[1] (numeric) = 0.50525796915483594280345974327586 absolute error = 2e-32 relative error = 3.9583739833841224032510666157738e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.356 y[1] (analytic) = 0.50589270373098853526248062962902 y[1] (numeric) = 0.505892703730988535262480629629 absolute error = 2e-32 relative error = 3.9534074819618508224756403658674e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.362 Order of pole = 1.964e-27 TOP MAIN SOLVE Loop x[1] = 0.357 y[1] (analytic) = 0.50652736573262851274663459611932 y[1] (numeric) = 0.50652736573262851274663459611932 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.358 y[1] (analytic) = 0.5071619552378980210178216565038 y[1] (numeric) = 0.50716195523789802101782165650378 absolute error = 2e-32 relative error = 3.9435134661507603632169208739910e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.359 y[1] (analytic) = 0.50779647232481306838304405462522 y[1] (numeric) = 0.5077964723248130683830440546252 absolute error = 2e-32 relative error = 3.9385858488609110410311225763113e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.91 Order of pole = 6.260e-26 TOP MAIN SOLVE Loop x[1] = 0.36 y[1] (analytic) = 0.50843091707126379703072272375312 y[1] (numeric) = 0.50843091707126379703072272375311 absolute error = 1e-32 relative error = 1.9668355452503605930606054064859e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.361 y[1] (analytic) = 0.50906528955501475363781096251685 y[1] (numeric) = 0.50906528955501475363781096251682 absolute error = 3e-32 relative error = 5.8931537104452092101834518319671e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.362 y[1] (analytic) = 0.50969958985370515925005569940938 y[1] (numeric) = 0.50969958985370515925005569940935 absolute error = 3e-32 relative error = 5.8858199216151323333721642405235e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.363 y[1] (analytic) = 0.51033381804484917843774788422635 y[1] (numeric) = 0.51033381804484917843774788422633 absolute error = 2e-32 relative error = 3.9190034626007009286765889911999e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.364 y[1] (analytic) = 0.51096797420583618772929474911212 y[1] (numeric) = 0.51096797420583618772929474911211 absolute error = 1e-32 relative error = 1.9570698174464535220689882001002e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.365 y[1] (analytic) = 0.51160205841393104332493792393322 y[1] (numeric) = 0.51160205841393104332493792393322 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.366 y[1] (analytic) = 0.51223607074627434809293267030462 y[1] (numeric) = 0.5122360707462743480929326703046 absolute error = 2e-32 relative error = 3.9044497531894021164440197922938e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.367 y[1] (analytic) = 0.512870011279882717850494815576 y[1] (numeric) = 0.51287001127988271785049481557599 absolute error = 1e-32 relative error = 1.9498118002736591554042767077911e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.368 y[1] (analytic) = 0.51350388009164904693181332226392 y[1] (numeric) = 0.51350388009164904693181332226391 absolute error = 1e-32 relative error = 1.9474049540220069845890771397026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.369 y[1] (analytic) = 0.51413767725834277304541781961015 y[1] (numeric) = 0.51413767725834277304541781961014 absolute error = 1e-32 relative error = 1.9450043134993240187399948989183e-30 % Correct digits = 31 h = 0.001 memory used=34.3MB, alloc=4.3MB, time=3.90 Complex estimate of poles used for equation 1 Radius of convergence = 3.479 Order of pole = 2.030e-26 TOP MAIN SOLVE Loop x[1] = 0.37 y[1] (analytic) = 0.51477140285661014142318185198192 y[1] (numeric) = 0.51477140285661014142318185198191 absolute error = 1e-32 relative error = 1.9426098544921512516606577088354e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.371 y[1] (analytic) = 0.51540505696297446826323406352492 y[1] (numeric) = 0.51540505696297446826323406352492 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.372 y[1] (analytic) = 0.51603863965383640346904103966205 y[1] (numeric) = 0.51603863965383640346904103966202 absolute error = 3e-32 relative error = 5.8135181544010509616595582498123e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.373 y[1] (analytic) = 0.51667215100547419268691706352162 y[1] (numeric) = 0.51667215100547419268691706352162 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.374 y[1] (analytic) = 0.51730559109404393864420761900715 y[1] (numeric) = 0.51730559109404393864420761900713 absolute error = 2e-32 relative error = 3.8661867074937695279875775973432e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.375 y[1] (analytic) = 0.5179389599955798617903850818081 y[1] (numeric) = 0.51793895999557986179038508180807 absolute error = 3e-32 relative error = 5.7921883305044329412040142457378e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.376 y[1] (analytic) = 0.51857225778599456024328668503208 y[1] (numeric) = 0.51857225778599456024328668503206 absolute error = 2e-32 relative error = 3.8567431442222734803680470685504e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.377 y[1] (analytic) = 0.5192054845410792690427165271338 y[1] (numeric) = 0.51920548454107926904271652713378 absolute error = 2e-32 relative error = 3.8520394324566520171089604775020e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.378 y[1] (analytic) = 0.51983864033650411871362510626075 y[1] (numeric) = 0.51983864033650411871362510626072 absolute error = 3e-32 relative error = 5.7710215578780897791455086425857e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.379 y[1] (analytic) = 0.52047172524781839314107161685682 y[1] (numeric) = 0.52047172524781839314107161685681 absolute error = 1e-32 relative error = 1.9213339581969762253506671978572e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.38 y[1] (analytic) = 0.5211047393504507867591660311945 y[1] (numeric) = 0.52110473935045078675916603119447 absolute error = 3e-32 relative error = 5.7570000298585939556452842297696e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.381 y[1] (analytic) = 0.52173768271970966105617981027578 y[1] (numeric) = 0.52173768271970966105617981027576 absolute error = 2e-32 relative error = 3.8333439700472033580384109197408e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.7473 Order of pole = 5.717e-27 TOP MAIN SOLVE Loop x[1] = 0.382 y[1] (analytic) = 0.5223705554307833003980059450863 y[1] (numeric) = 0.52237055543078330039800594508627 absolute error = 3e-32 relative error = 5.7430495819696233581346047988413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.383 y[1] (analytic) = 0.52300335755874016717214092033588 y[1] (numeric) = 0.52300335755874016717214092033585 absolute error = 3e-32 relative error = 5.7361008426471917583944870867070e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.384 y[1] (analytic) = 0.52363608917852915625435311841185 y[1] (numeric) = 0.52363608917852915625435311841183 absolute error = 2e-32 relative error = 3.8194464463623274991121673570299e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.385 y[1] (analytic) = 0.52426875036497984880019414113962 y[1] (numeric) = 0.5242687503649798488001941411396 absolute error = 2e-32 relative error = 3.8148373302960766743987728798979e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.386 y[1] (analytic) = 0.52490134119280276536350152092772 y[1] (numeric) = 0.52490134119280276536350152092769 absolute error = 3e-32 relative error = 5.7153597534780594787662579102099e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.387 y[1] (analytic) = 0.52553386173658961834403332080805 y[1] (numeric) = 0.52553386173658961834403332080802 absolute error = 3e-32 relative error = 5.7084808771155323318001339307219e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.388 y[1] (analytic) = 0.52616631207081356376636718460392 y[1] (numeric) = 0.52616631207081356376636718460389 absolute error = 3e-32 relative error = 5.7016193001657772763607885440698e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.389 y[1] (analytic) = 0.5267986922698294523921884938086 y[1] (numeric) = 0.52679869226982945239218849380858 absolute error = 2e-32 relative error = 3.7965166378499436263048221675646e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.39 y[1] (analytic) = 0.52743100240787408016808441657505 y[1] (numeric) = 0.52743100240787408016808441657503 absolute error = 2e-32 relative error = 3.7919651876158688280363539421421e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.391 y[1] (analytic) = 0.52806324255906643801095279634328 y[1] (numeric) = 0.52806324255906643801095279634324 absolute error = 4e-32 relative error = 7.5748502785678754672622797874238e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.392 y[1] (analytic) = 0.5286954127974079609331270229081 y[1] (numeric) = 0.52869541279740796093312702290808 absolute error = 2e-32 relative error = 3.7828964496167942075690008961191e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.393 y[1] (analytic) = 0.5293275131967827765093102569983 y[1] (numeric) = 0.52932751319678277650931025699828 absolute error = 2e-32 relative error = 3.7783790755960196514469373149869e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.394 y[1] (analytic) = 0.52995954383095795268740464054125 y[1] (numeric) = 0.52995954383095795268740464054123 absolute error = 2e-32 relative error = 3.7738729744207478861702640474380e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.395 y[1] (analytic) = 0.53059150477358374494531341857122 y[1] (numeric) = 0.5305915047735837449453134185712 absolute error = 2e-32 relative error = 3.7693781035062905390485493645183e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.396 y[1] (analytic) = 0.5312233960981938427957862250459 y[1] (numeric) = 0.53122339609819384279578622504586 absolute error = 4e-32 relative error = 7.5297888409655456859147141974312e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.397 y[1] (analytic) = 0.53185521787820561564137014351352 y[1] (numeric) = 0.5318552178782056156413701435135 absolute error = 2e-32 relative error = 3.7604218831937797556633277559967e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.398 y[1] (analytic) = 0.53248697018692035798152154446678 y[1] (numeric) = 0.53248697018692035798152154446675 absolute error = 3e-32 relative error = 5.6339406745425184625040824660901e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.399 y[1] (analytic) = 0.5331186530975235339739261241761 y[1] (numeric) = 0.53311865309752353397392612417607 absolute error = 3e-32 relative error = 5.6272651173794311397784794227372e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.4 y[1] (analytic) = 0.53375026668308502135206702466542 y[1] (numeric) = 0.53375026668308502135206702466538 absolute error = 4e-32 relative error = 7.4941414546870956021399990605526e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=38.1MB, alloc=4.3MB, time=4.34 x[1] = 0.401 y[1] (analytic) = 0.53438181101655935470107340112178 y[1] (numeric) = 0.53438181101655935470107340112173 absolute error = 5e-32 relative error = 9.3566058891272043020262722963187e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.402 y[1] (analytic) = 0.5350132861707859680938743212711 y[1] (numeric) = 0.53501328617078596809387432127106 absolute error = 4e-32 relative error = 7.4764498441317722256801291963550e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.403 y[1] (analytic) = 0.5356446922184894370896754309528 y[1] (numeric) = 0.53564469221848943708967543095276 absolute error = 4e-32 relative error = 7.4676367713700787413631090952402e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.404 y[1] (analytic) = 0.53627602923227972009676840113852 y[1] (numeric) = 0.53627602923227972009676840113848 absolute error = 4e-32 relative error = 7.4588454116181677692408412661421e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.405 y[1] (analytic) = 0.53690729728465239910167578381752 y[1] (numeric) = 0.53690729728465239910167578381748 absolute error = 4e-32 relative error = 7.4500756838835030455797715427459e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.406 y[1] (analytic) = 0.5375384964479889197666265473644 y[1] (numeric) = 0.53753849644798891976662654736436 absolute error = 4e-32 relative error = 7.4413275075769972914663538054558e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.407 y[1] (analytic) = 0.53816962679455683089735023606925 y[1] (numeric) = 0.53816962679455683089735023606921 absolute error = 4e-32 relative error = 7.4326008025105011426864772290482e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.408 y[1] (analytic) = 0.53880068839651002328317040329888 y[1] (numeric) = 0.53880068839651002328317040329884 absolute error = 4e-32 relative error = 7.4238954888943108158144985409026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.409 y[1] (analytic) = 0.53943168132588896791137070312668 y[1] (numeric) = 0.53943168132588896791137070312662 absolute error = 6e-32 relative error = 1.1122817231002041521402474974641e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.41 y[1] (analytic) = 0.54006260565462095355779979107295 y[1] (numeric) = 0.54006260565462095355779979107291 absolute error = 4e-32 relative error = 7.4065487188314362463704829741108e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.411 y[1] (analytic) = 0.54069346145452032375567398069482 y[1] (numeric) = 0.54069346145452032375567398069478 absolute error = 4e-32 relative error = 7.3979071047754003957208653185590e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.111 Order of pole = 5.878e-27 TOP MAIN SOLVE Loop x[1] = 0.412 y[1] (analytic) = 0.54132424879728871314452942901038 y[1] (numeric) = 0.54132424879728871314452942901034 absolute error = 4e-32 relative error = 7.3892865669461110524340993687298e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.413 y[1] (analytic) = 0.54195496775451528320126847999755 y[1] (numeric) = 0.54195496775451528320126847999752 absolute error = 3e-32 relative error = 5.5355152706320138365188924391862e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.239 Order of pole = 3.491e-27 TOP MAIN SOLVE Loop x[1] = 0.414 y[1] (analytic) = 0.5425856183976769573552376815282 y[1] (numeric) = 0.54258561839767695735523768152817 absolute error = 3e-32 relative error = 5.5290813067610866327045357061012e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.415 y[1] (analytic) = 0.54321620079813865548926790694592 y[1] (numeric) = 0.5432162007981386554892679069459 absolute error = 2e-32 relative error = 3.6817753171967861019590068686643e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.416 y[1] (analytic) = 0.54384671502715352782859995793028 y[1] (numeric) = 0.54384671502715352782859995793023 absolute error = 5e-32 relative error = 9.1937670336950675357134336953045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.417 y[1] (analytic) = 0.54447716115586318821961200017142 y[1] (numeric) = 0.54447716115586318821961200017139 absolute error = 3e-32 relative error = 5.5098729827920433750148222509089e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.418 y[1] (analytic) = 0.54510753925529794680025818757158 y[1] (numeric) = 0.54510753925529794680025818757154 absolute error = 4e-32 relative error = 7.3380016087552648132936378424593e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.419 y[1] (analytic) = 0.54573784939637704206412086405148 y[1] (numeric) = 0.54573784939637704206412086405145 absolute error = 3e-32 relative error = 5.4971448348656829014582062963756e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.42 y[1] (analytic) = 0.54636809164990887231997179444025 y[1] (numeric) = 0.54636809164990887231997179444023 absolute error = 2e-32 relative error = 3.6605358741950859240699500638765e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.613 Order of pole = 1.581e-25 TOP MAIN SOLVE Loop x[1] = 0.421 y[1] (analytic) = 0.54699826608659122654873096722355 y[1] (numeric) = 0.54699826608659122654873096722353 absolute error = 2e-32 relative error = 3.6563187198172852661253874344303e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.422 y[1] (analytic) = 0.547628372777011514659704631987 y[1] (numeric) = 0.54762837277701151465970463198697 absolute error = 3e-32 relative error = 5.4781675843182951590191647163523e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.423 y[1] (analytic) = 0.5482584117916469971479773830823 y[1] (numeric) = 0.54825841179164699714797738308228 absolute error = 2e-32 relative error = 3.6479148463298981947609568549506e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.424 y[1] (analytic) = 0.54888838320086501415482627822955 y[1] (numeric) = 0.54888838320086501415482627822953 absolute error = 2e-32 relative error = 3.6437280533009613960027366613173e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.425 y[1] (analytic) = 0.54951828707492321393301818631645 y[1] (numeric) = 0.54951828707492321393301818631642 absolute error = 3e-32 relative error = 5.4593269606530304207996248964686e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.426 y[1] (analytic) = 0.5501481234839697807188447924329 y[1] (numeric) = 0.55014812348396978071884479243288 absolute error = 2e-32 relative error = 3.6353845712213467394440846246315e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.427 y[1] (analytic) = 0.55077789249804366201274295005368 y[1] (numeric) = 0.55077789249804366201274295005365 absolute error = 3e-32 relative error = 5.4468417139866518214611316966384e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.428 y[1] (analytic) = 0.5514075941870747952703413601226 y[1] (numeric) = 0.55140759418707479527034136012259 absolute error = 1e-32 relative error = 1.8135404926264622384352409948047e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.429 y[1] (analytic) = 0.5520372286208843340057678744689 y[1] (numeric) = 0.55203722862088433400576787446889 absolute error = 1e-32 relative error = 1.8114720315117686123602160191105e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.43 y[1] (analytic) = 0.55266679586918487330904506636812 y[1] (numeric) = 0.55266679586918487330904506636811 absolute error = 1e-32 relative error = 1.8094085034135070466757859772017e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.261 Order of pole = 6.686e-26 TOP MAIN SOLVE Loop x[1] = 0.431 y[1] (analytic) = 0.5532962960015806747793950840202 y[1] (numeric) = 0.55329629600158067477939508402018 absolute error = 2e-32 relative error = 3.6146997810270653523786567784285e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.432 y[1] (analytic) = 0.55392572908756789087626820312432 y[1] (numeric) = 0.55392572908756789087626820312431 absolute error = 1e-32 relative error = 1.8052961750796631104695981436549e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=41.9MB, alloc=4.3MB, time=4.79 TOP MAIN SOLVE Loop x[1] = 0.433 y[1] (analytic) = 0.55455509519653478868990292245855 y[1] (numeric) = 0.55455509519653478868990292245853 absolute error = 2e-32 relative error = 3.6064946789303204046212400116538e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.434 y[1] (analytic) = 0.5551843943977619731332189012932 y[1] (numeric) = 0.55518439439776197313321890129317 absolute error = 3e-32 relative error = 5.4036100983246466853097487095569e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.435 y[1] (analytic) = 0.55581362676042260955683751945555 y[1] (numeric) = 0.55581362676042260955683751945552 absolute error = 3e-32 relative error = 5.3974927125943193526979384738614e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.436 y[1] (analytic) = 0.556442792353582645789018349792 y[1] (numeric) = 0.55644279235358264578901834979199 absolute error = 1e-32 relative error = 1.7971299363413553612565682255223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.437 y[1] (analytic) = 0.55707189124620103360229336851862 y[1] (numeric) = 0.55707189124620103360229336851861 absolute error = 1e-32 relative error = 1.7951004452278932432527917103465e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.438 y[1] (analytic) = 0.5577009235071299496085742913867 y[1] (numeric) = 0.55770092350712994960857429138667 absolute error = 3e-32 relative error = 5.3792272408916790700623112871220e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.726 Order of pole = 1.567e-25 TOP MAIN SOLVE Loop x[1] = 0.439 y[1] (analytic) = 0.55832988920511501558450201259322 y[1] (numeric) = 0.5583298892051150155845020125932 absolute error = 2e-32 relative error = 3.5821116488092134242325543640880e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.44 y[1] (analytic) = 0.5589587884087955182288007388129 y[1] (numeric) = 0.55895878840879551822880073881288 absolute error = 2e-32 relative error = 3.5780813209744121459764458918722e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.441 y[1] (analytic) = 0.5595876211867046283533930524963 y[1] (numeric) = 0.55958762118670462835339305249627 absolute error = 3e-32 relative error = 5.3610907146908804663225615120757e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.442 y[1] (analytic) = 0.5602163876072696195100258065466 y[1] (numeric) = 0.56021638760726961951002580654659 absolute error = 1e-32 relative error = 1.7850245407334163295954420266988e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.443 y[1] (analytic) = 0.56084508773881208605415044653268 y[1] (numeric) = 0.56084508773881208605415044653266 absolute error = 2e-32 relative error = 3.5660471023531695862802418135465e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.444 y[1] (analytic) = 0.56147372164954816064779507659805 y[1] (numeric) = 0.56147372164954816064779507659804 absolute error = 1e-32 relative error = 1.7810272528197931882680362120035e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.445 y[1] (analytic) = 0.56210228940758873120315933106585 y[1] (numeric) = 0.56210228940758873120315933106584 absolute error = 1e-32 relative error = 1.7790356290025446333125292588994e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.957 Order of pole = 1.004e-26 TOP MAIN SOLVE Loop x[1] = 0.446 y[1] (analytic) = 0.5627307910809396572686568852955 y[1] (numeric) = 0.56273079108093965726865688529547 absolute error = 3e-32 relative error = 5.3311459894301374220810141789771e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.447 y[1] (analytic) = 0.5633592267375019858591242365031 y[1] (numeric) = 0.56335922673750198585912423650308 absolute error = 2e-32 relative error = 3.5501326774788101194529966132864e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.448 y[1] (analytic) = 0.563987596445072166731908207893 y[1] (numeric) = 0.56398759644507216673190820789297 absolute error = 3e-32 relative error = 5.3192659180975015493233507228291e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.449 y[1] (analytic) = 0.56461590027134226711053847744555 y[1] (numeric) = 0.56461590027134226711053847744552 absolute error = 3e-32 relative error = 5.3133466460265544684855295784797e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.45 y[1] (analytic) = 0.56524413828390018585768530595088 y[1] (numeric) = 0.56524413828390018585768530595084 absolute error = 4e-32 relative error = 7.0765882015939726460801759860451e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.451 y[1] (analytic) = 0.5658723105502298670990965372499 y[1] (numeric) = 0.56587231055022986709909653724987 absolute error = 3e-32 relative error = 5.3015493850245635565002949454419e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.452 y[1] (analytic) = 0.5665004171377115133002018670304 y[1] (numeric) = 0.56650041713771151330020186703037 absolute error = 3e-32 relative error = 5.2956712991629185181196935397596e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.453 y[1] (analytic) = 0.56712845811362179779706632480892 y[1] (numeric) = 0.56712845811362179779706632480889 absolute error = 3e-32 relative error = 5.2898068454871341268798110265918e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.454 y[1] (analytic) = 0.56775643354513407678336888679615 y[1] (numeric) = 0.56775643354513407678336888679611 absolute error = 4e-32 relative error = 7.0452746347999208249799941383755e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.455 y[1] (analytic) = 0.56838434349931860075507613507865 y[1] (numeric) = 0.56838434349931860075507613507862 absolute error = 3e-32 relative error = 5.2781186433288806908492595971926e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.456 y[1] (analytic) = 0.56901218804314272541447490084118 y[1] (numeric) = 0.56901218804314272541447490084115 absolute error = 3e-32 relative error = 5.2722947997249908347328770758564e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.457 y[1] (analytic) = 0.5696399672434711220352218760866 y[1] (numeric) = 0.56963996724347112203522187608657 absolute error = 3e-32 relative error = 5.2664843980614919430731911245011e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.458 y[1] (analytic) = 0.57026768116706598729006224937455 y[1] (numeric) = 0.57026768116706598729006224937454 absolute error = 1e-32 relative error = 1.7535624637774963714175809090926e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.459 y[1] (analytic) = 0.57089532988058725254286351638145 y[1] (numeric) = 0.57089532988058725254286351638144 absolute error = 1e-32 relative error = 1.7516345775838935264196563323204e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.46 y[1] (analytic) = 0.57152291345059279260660473547305 y[1] (numeric) = 0.57152291345059279260660473547302 absolute error = 3e-32 relative error = 5.2491333757510756763933776896717e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.461 y[1] (analytic) = 0.5721504319435386339689556418664 y[1] (numeric) = 0.57215043194353863396895564186638 absolute error = 2e-32 relative error = 3.4955841826531478665895832094732e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.462 y[1] (analytic) = 0.57277788542577916248707420122938 y[1] (numeric) = 0.57277788542577916248707420122936 absolute error = 2e-32 relative error = 3.4917549208682934994645925312868e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.463 y[1] (analytic) = 0.57340527396356733055324537461372 y[1] (numeric) = 0.5734052739635673305532453746137 absolute error = 2e-32 relative error = 3.4879344345323806043424554096645e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.464 memory used=45.7MB, alloc=4.3MB, time=5.24 y[1] (analytic) = 0.57403259762305486373297808133412 y[1] (numeric) = 0.57403259762305486373297808133411 absolute error = 1e-32 relative error = 1.7420613465869085568459544957396e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.465 y[1] (analytic) = 0.57465985647029246687717158468082 y[1] (numeric) = 0.57465985647029246687717158468081 absolute error = 1e-32 relative error = 1.7401598332311835251445494973776e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.466 y[1] (analytic) = 0.57528705057123002970995678707975 y[1] (numeric) = 0.57528705057123002970995678707972 absolute error = 3e-32 relative error = 5.2147879863124965243830656074211e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.467 y[1] (analytic) = 0.57591417999171683189381220638535 y[1] (numeric) = 0.57591417999171683189381220638534 absolute error = 1e-32 relative error = 1.7363698181808661892966463317905e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.468 y[1] (analytic) = 0.57654124479750174757354871329942 y[1] (numeric) = 0.57654124479750174757354871329941 absolute error = 1e-32 relative error = 1.7344812865057545525364768330115e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.469 y[1] (analytic) = 0.5771682450542334494007514413479 y[1] (numeric) = 0.57716824505423344940075144134788 absolute error = 2e-32 relative error = 3.4651941043847112047477067221797e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.47 y[1] (analytic) = 0.57779518082746061204026163531308 y[1] (numeric) = 0.57779518082746061204026163531305 absolute error = 3e-32 relative error = 5.1921513012685555917006440094453e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.471 y[1] (analytic) = 0.5784220521826321151602755814028 y[1] (numeric) = 0.57842205218263211516027558140278 absolute error = 2e-32 relative error = 3.4576828328953752798396834161077e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.472 y[1] (analytic) = 0.57904885918509724590763216263912 y[1] (numeric) = 0.5790488591850972459076321626391 absolute error = 2e-32 relative error = 3.4539399711703520061786036820721e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.473 y[1] (analytic) = 0.57967560190010590086985500586028 y[1] (numeric) = 0.57967560190010590086985500586025 absolute error = 3e-32 relative error = 5.1753083796633255030581023198113e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.474 y[1] (analytic) = 0.58030228039280878752550963225028 y[1] (numeric) = 0.58030228039280878752550963225027 absolute error = 1e-32 relative error = 1.7232398248083675525130687193459e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.475 y[1] (analytic) = 0.58092889472825762518443049133472 y[1] (numeric) = 0.5809288947282576251844304913347 absolute error = 2e-32 relative error = 3.4427621317330830266280015839529e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6676 Order of pole = 6.99e-28 TOP MAIN SOLVE Loop x[1] = 0.476 y[1] (analytic) = 0.5815554449714053454193672488082 y[1] (numeric) = 0.58155544497140534541936724880818 absolute error = 2e-32 relative error = 3.4390530039630847798747922396956e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.477 y[1] (analytic) = 0.58218193118710629199059421128685 y[1] (numeric) = 0.58218193118710629199059421128684 absolute error = 1e-32 relative error = 1.7176761188052261803528195687406e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.478 y[1] (analytic) = 0.58280835344011642026502130600482 y[1] (numeric) = 0.58280835344011642026502130600481 absolute error = 1e-32 relative error = 1.7158299020550158204816675174206e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.479 y[1] (analytic) = 0.58343471179509349613133959049795 y[1] (numeric) = 0.58343471179509349613133959049794 absolute error = 1e-32 relative error = 1.7139878375135267156649780401136e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.48 y[1] (analytic) = 0.58406100631659729441272884633945 y[1] (numeric) = 0.58406100631659729441272884633944 absolute error = 1e-32 relative error = 1.7121499110281948364474088851210e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.481 y[1] (analytic) = 0.58468723706908979677864941191085 y[1] (numeric) = 0.58468723706908979677864941191084 absolute error = 1e-32 relative error = 1.7103161085109073582116363432311e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.482 y[1] (analytic) = 0.5853134041169353891572350319085 y[1] (numeric) = 0.58531340411693538915723503190848 absolute error = 2e-32 relative error = 3.4169728318752716487677867667973e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.483 y[1] (analytic) = 0.58593950752440105864979814570158 y[1] (numeric) = 0.58593950752440105864979814570157 absolute error = 1e-32 relative error = 1.7066608193480718131159215983505e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.484 y[1] (analytic) = 0.58656554735565658994895370267412 y[1] (numeric) = 0.58656554735565658994895370267412 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.485 y[1] (analytic) = 0.58719152367477476126186228020202 y[1] (numeric) = 0.58719152367477476126186228020203 absolute error = 1e-32 relative error = 1.7030218585952642098047583871055e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.486 y[1] (analytic) = 0.5878174365457315397400879888406 y[1] (numeric) = 0.5878174365457315397400879888406 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.487 y[1] (analytic) = 0.58844328603240627641756137952992 y[1] (numeric) = 0.58844328603240627641756137952993 absolute error = 1e-32 relative error = 1.6993991158307290169483384793303e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.488 y[1] (analytic) = 0.58906907219858190065813231906942 y[1] (numeric) = 0.58906907219858190065813231906941 absolute error = 1e-32 relative error = 1.6975937919600854519945331090817e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.489 y[1] (analytic) = 0.58969479510794511411419257267215 y[1] (numeric) = 0.58969479510794511411419257267214 absolute error = 1e-32 relative error = 1.6957924816293273998739168825154e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.49 y[1] (analytic) = 0.5903204548240865841978426259895 y[1] (numeric) = 0.59032045482408658419784262598949 absolute error = 1e-32 relative error = 1.6939951713141915045756633720947e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.491 y[1] (analytic) = 0.5909460514105011370660720935008 y[1] (numeric) = 0.5909460514105011370660720935008 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.492 y[1] (analytic) = 0.59157158493058795012141789549838 y[1] (numeric) = 0.59157158493058795012141789549837 absolute error = 1e-32 relative error = 1.6904124969378557906104110208882e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.493 y[1] (analytic) = 0.5921970554476507440295592419695 y[1] (numeric) = 0.5921970554476507440295592419695 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.494 y[1] (analytic) = 0.59282246302489797425530333839168 y[1] (numeric) = 0.59282246302489797425530333839168 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.495 y[1] (analytic) = 0.5934478077254430221184106257212 y[1] (numeric) = 0.5934478077254430221184106257212 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=49.5MB, alloc=4.3MB, time=5.70 x[1] = 0.496 y[1] (analytic) = 0.59407308961230438537070328457645 y[1] (numeric) = 0.59407308961230438537070328457645 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.497 y[1] (analytic) = 0.59469830874840586829589567170288 y[1] (numeric) = 0.59469830874840586829589567170287 absolute error = 1e-32 relative error = 1.6815248762092272758904247264933e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.498 y[1] (analytic) = 0.59532346519657677133358031516558 y[1] (numeric) = 0.59532346519657677133358031516556 absolute error = 2e-32 relative error = 3.3595181727627631213256590611580e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.499 y[1] (analytic) = 0.59594855901955208022879807325578 y[1] (numeric) = 0.59594855901955208022879807325576 absolute error = 2e-32 relative error = 3.3559943551006779582156487674340e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.5 y[1] (analytic) = 0.5965735902799726547086160607291 y[1] (numeric) = 0.59657359027997265470861606072908 absolute error = 2e-32 relative error = 3.3524782735712416600528720462830e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.501 y[1] (analytic) = 0.59719855904038541668713196462492 y[1] (numeric) = 0.59719855904038541668713196462492 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.502 y[1] (analytic) = 0.59782346536324353800031841045922 y[1] (numeric) = 0.59782346536324353800031841045921 absolute error = 1e-32 relative error = 1.6727346080207640609204957668453e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.503 y[1] (analytic) = 0.59844830931090662767211609794578 y[1] (numeric) = 0.59844830931090662767211609794576 absolute error = 2e-32 relative error = 3.3419761888924603066276427640953e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.504 y[1] (analytic) = 0.59907309094564091871317950349718 y[1] (numeric) = 0.59907309094564091871317950349717 absolute error = 1e-32 relative error = 1.6692453977885957930065686982543e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.505 y[1] (analytic) = 0.59969781032961945445367404449515 y[1] (numeric) = 0.59969781032961945445367404449514 absolute error = 1e-32 relative error = 1.6675065054020414304855084140965e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.506 y[1] (analytic) = 0.60032246752492227441151871761402 y[1] (numeric) = 0.60032246752492227441151871761401 absolute error = 1e-32 relative error = 1.6657714046967352391242744303355e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.247 Order of pole = 3.632e-27 TOP MAIN SOLVE Loop x[1] = 0.507 y[1] (analytic) = 0.60094706259353659969746336024332 y[1] (numeric) = 0.60094706259353659969746336024331 absolute error = 1e-32 relative error = 1.6640400831385232852568245943450e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.508 y[1] (analytic) = 0.60157159559735701795838484019698 y[1] (numeric) = 0.60157159559735701795838484019696 absolute error = 2e-32 relative error = 3.3246250564972435083492928146713e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.509 y[1] (analytic) = 0.60219606659818566786018165433222 y[1] (numeric) = 0.60219606659818566786018165433221 absolute error = 1e-32 relative error = 1.6605887276033112161472074609753e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.51 y[1] (analytic) = 0.60282047565773242311164161134392 y[1] (numeric) = 0.60282047565773242311164161134392 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.511 y[1] (analytic) = 0.60344482283761507603065248776332 y[1] (numeric) = 0.60344482283761507603065248776332 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.512 y[1] (analytic) = 0.60406910819935952065412077898925 y[1] (numeric) = 0.60406910819935952065412077898926 absolute error = 1e-32 relative error = 1.6554397277173331787237897249752e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9741 Order of pole = 1.284e-27 TOP MAIN SOLVE Loop x[1] = 0.513 y[1] (analytic) = 0.6046933318043999353929589189296 y[1] (numeric) = 0.60469333180439993539295891892959 absolute error = 1e-32 relative error = 1.6537308209038922483296978160549e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.514 y[1] (analytic) = 0.60531749371407896523349661244505 y[1] (numeric) = 0.60531749371407896523349661244504 absolute error = 1e-32 relative error = 1.6520256070318510752033671679636e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.515 y[1] (analytic) = 0.60594159398964790348666721418472 y[1] (numeric) = 0.60594159398964790348666721418473 absolute error = 1e-32 relative error = 1.6503240740015683988386854238968e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.516 y[1] (analytic) = 0.60656563269226687308631539549605 y[1] (numeric) = 0.60656563269226687308631539549604 absolute error = 1e-32 relative error = 1.6486262097663830199942520695059e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.517 y[1] (analytic) = 0.60718960988300500743796766779985 y[1] (numeric) = 0.60718960988300500743796766779984 absolute error = 1e-32 relative error = 1.6469320023323238310402630937638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.518 y[1] (analytic) = 0.60781352562284063081940267606092 y[1] (numeric) = 0.60781352562284063081940267606091 absolute error = 1e-32 relative error = 1.6452414397578217493778474503112e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.519 y[1] (analytic) = 0.60843737997266143833435353967098 y[1] (numeric) = 0.60843737997266143833435353967098 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6646 Order of pole = 5.952e-27 TOP MAIN SOLVE Loop x[1] = 0.52 y[1] (analytic) = 0.60906117299326467542066990011515 y[1] (numeric) = 0.60906117299326467542066990011515 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.475 Order of pole = 8.417e-27 TOP MAIN SOLVE Loop x[1] = 0.521 y[1] (analytic) = 0.60968490474535731691426273513078 y[1] (numeric) = 0.60968490474535731691426273513077 absolute error = 1e-32 relative error = 1.6401915025560010625247266071038e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.522 y[1] (analytic) = 0.61030857528955624567015041760855 y[1] (numeric) = 0.61030857528955624567015041760855 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.523 y[1] (analytic) = 0.61093218468638843074191993414862 y[1] (numeric) = 0.61093218468638843074191993414862 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.524 y[1] (analytic) = 0.61155573299629110512091263288872 y[1] (numeric) = 0.61155573299629110512091263288873 absolute error = 1e-32 relative error = 1.6351739441645700151876902870707e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.525 y[1] (analytic) = 0.6121792202796119430364393428869 y[1] (numeric) = 0.61217922027961194303643934288689 absolute error = 1e-32 relative error = 1.6335085655851753609181020659406e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.526 y[1] (analytic) = 0.61280264659660923681832519788792 y[1] (numeric) = 0.61280264659660923681832519788792 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.527 y[1] (analytic) = 0.61342601200745207332308000565182 y[1] (numeric) = 0.61342601200745207332308000565182 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.528 y[1] (analytic) = 0.61404931657222050992498553009365 y[1] (numeric) = 0.61404931657222050992498553009365 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 memory used=53.4MB, alloc=4.3MB, time=6.14 Complex estimate of poles used for equation 1 Radius of convergence = 2.65 Order of pole = 3.443e-27 TOP MAIN SOLVE Loop x[1] = 0.529 y[1] (analytic) = 0.61467256035090575007338659720058 y[1] (numeric) = 0.61467256035090575007338659720057 absolute error = 1e-32 relative error = 1.6268824484846331746666421312659e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.361 Order of pole = 6.982e-26 TOP MAIN SOLVE Loop x[1] = 0.53 y[1] (analytic) = 0.61529574340341031841746849697362 y[1] (numeric) = 0.61529574340341031841746849697363 absolute error = 1e-32 relative error = 1.6252347114716890663455855788701e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.531 y[1] (analytic) = 0.61591886578954823549979873241202 y[1] (numeric) = 0.61591886578954823549979873241203 absolute error = 1e-32 relative error = 1.6235904687187930349377848488416e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.532 y[1] (analytic) = 0.61654192756904519201990676273852 y[1] (numeric) = 0.61654192756904519201990676273852 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.533 y[1] (analytic) = 0.61716492880153872266917100157905 y[1] (numeric) = 0.61716492880153872266917100157905 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.534 y[1] (analytic) = 0.61778786954657837953827796158108 y[1] (numeric) = 0.61778786954657837953827796158108 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.254 Order of pole = 1.493e-27 TOP MAIN SOLVE Loop x[1] = 0.535 y[1] (analytic) = 0.61841074986362590509851408490695 y[1] (numeric) = 0.61841074986362590509851408490696 absolute error = 1e-32 relative error = 1.6170482162875135771948852742488e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.536 y[1] (analytic) = 0.6190335698120554047581464640953 y[1] (numeric) = 0.6190335698120554047581464640953 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.537 y[1] (analytic) = 0.6196563294511535189951443398687 y[1] (numeric) = 0.61965632945115351899514433986869 absolute error = 1e-32 relative error = 1.6137977657481966250298711597360e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.538 y[1] (analytic) = 0.62027902884011959506748896150548 y[1] (numeric) = 0.62027902884011959506748896150549 absolute error = 1e-32 relative error = 1.6121776708619881760351552557823e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.539 y[1] (analytic) = 0.62090166803806585830231511131152 y[1] (numeric) = 0.62090166803806585830231511131153 absolute error = 1e-32 relative error = 1.6105609816765585076254982769196e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.54 y[1] (analytic) = 0.62152424710401758296512332745038 y[1] (numeric) = 0.62152424710401758296512332745037 absolute error = 1e-32 relative error = 1.6089476873339764497493446905842e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.541 y[1] (analytic) = 0.62214676609691326271029760884348 y[1] (numeric) = 0.62214676609691326271029760884348 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.542 y[1] (analytic) = 0.62276922507560478061415915196158 y[1] (numeric) = 0.6227692250756047806141591519616 absolute error = 2e-32 relative error = 3.2114624799534660431438543167029e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.543 y[1] (analytic) = 0.6233916240988575787917824520209 y[1] (numeric) = 0.62339162409885757879178245202092 absolute error = 2e-32 relative error = 3.2082561309531479472526247102444e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.544 y[1] (analytic) = 0.6240139632253508275987959003008 y[1] (numeric) = 0.6240139632253508275987959003008 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.5584 Order of pole = 1.49e-28 TOP MAIN SOLVE Loop x[1] = 0.545 y[1] (analytic) = 0.62463624251367759441938482493992 y[1] (numeric) = 0.62463624251367759441938482493992 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.546 y[1] (analytic) = 0.62525846202234501204171075457332 y[1] (numeric) = 0.62525846202234501204171075457332 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.547 y[1] (analytic) = 0.62588062180977444662195653247128 y[1] (numeric) = 0.62588062180977444662195653247128 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.548 y[1] (analytic) = 0.62650272193430166523820277336125 y[1] (numeric) = 0.62650272193430166523820277336125 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.549 y[1] (analytic) = 0.62712476245417700303533703578442 y[1] (numeric) = 0.62712476245417700303533703578441 absolute error = 1e-32 relative error = 1.5945790373300215368030356932169e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.55 y[1] (analytic) = 0.62774674342756552996219297958825 y[1] (numeric) = 0.62774674342756552996219297958825 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.551 y[1] (analytic) = 0.6283686649125472171021126909152 y[1] (numeric) = 0.62836866491254721710211269091518 absolute error = 2e-32 relative error = 3.1828448993050101312365234577477e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.552 y[1] (analytic) = 0.62899052696711710259812128574422 y[1] (numeric) = 0.62899052696711710259812128574421 absolute error = 1e-32 relative error = 1.5898490631040598225520235804248e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.553 y[1] (analytic) = 0.62961232964918545717389884760865 y[1] (numeric) = 0.62961232964918545717389884760863 absolute error = 2e-32 relative error = 3.1765578687354847330913822983544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.554 y[1] (analytic) = 0.6302340730165779492517307154775 y[1] (numeric) = 0.63023407301657794925173071547749 absolute error = 1e-32 relative error = 1.5867120532115304532332859152200e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.555 y[1] (analytic) = 0.63085575712703580966861311388342 y[1] (numeric) = 0.63085575712703580966861311388341 absolute error = 1e-32 relative error = 1.5851484094463599994714281435251e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.556 y[1] (analytic) = 0.63147738203821599599168710913522 y[1] (numeric) = 0.63147738203821599599168710913521 absolute error = 1e-32 relative error = 1.5835879929258996129965269068866e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.557 y[1] (analytic) = 0.63209894780769135643416988280212 y[1] (numeric) = 0.63209894780769135643416988280211 absolute error = 1e-32 relative error = 1.5820307935463265412463048176200e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.558 y[1] (analytic) = 0.63272045449295079337294833652882 y[1] (numeric) = 0.63272045449295079337294833652882 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.559 y[1] (analytic) = 0.63334190215139942646899608057 y[1] (numeric) = 0.63334190215139942646899608057 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.56 y[1] (analytic) = 0.63396329084035875539177091215028 y[1] (numeric) = 0.63396329084035875539177091215026 absolute error = 2e-32 relative error = 3.1547567956953351440991746565250e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=57.2MB, alloc=4.3MB, time=6.59 TOP MAIN SOLVE Loop x[1] = 0.561 y[1] (analytic) = 0.63458462061706682214874595879568 y[1] (numeric) = 0.63458462061706682214874595879568 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.562 y[1] (analytic) = 0.63520589153867837302122374607688 y[1] (numeric) = 0.63520589153867837302122374607686 absolute error = 2e-32 relative error = 3.1485854061512869944338342932981e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.563 y[1] (analytic) = 0.63582710366226502010757854868622 y[1] (numeric) = 0.63582710366226502010757854868621 absolute error = 1e-32 relative error = 1.5727545967137227325509271713110e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.564 y[1] (analytic) = 0.63644825704481540247506849837655 y[1] (numeric) = 0.63644825704481540247506849837654 absolute error = 1e-32 relative error = 1.5712196379376448815525517884876e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.4098 Order of pole = 6.913e-27 TOP MAIN SOLVE Loop x[1] = 0.565 y[1] (analytic) = 0.63706935174323534692135505194852 y[1] (numeric) = 0.63706935174323534692135505194854 absolute error = 2e-32 relative error = 3.1393756339515147411064152635156e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.566 y[1] (analytic) = 0.6376903878143480283468635671256 y[1] (numeric) = 0.6376903878143480283468635671256 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.567 y[1] (analytic) = 0.6383113653148941297391148937305 y[1] (numeric) = 0.6383113653148941297391148937305 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.568 y[1] (analytic) = 0.63893228430153200177015406201468 y[1] (numeric) = 0.63893228430153200177015406201469 absolute error = 1e-32 relative error = 1.5651110838657652207308096187129e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.569 y[1] (analytic) = 0.63955314483083782200819833922258 y[1] (numeric) = 0.63955314483083782200819833922257 absolute error = 1e-32 relative error = 1.5635917172520519469579004681666e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.57 y[1] (analytic) = 0.64017394695930575374462312943618 y[1] (numeric) = 0.64017394695930575374462312943618 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.571 y[1] (analytic) = 0.64079469074334810443740041037552 y[1] (numeric) = 0.64079469074334810443740041037554 absolute error = 2e-32 relative error = 3.1211244863466612517670118967553e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.572 y[1] (analytic) = 0.64141537623929548377210063406355 y[1] (numeric) = 0.64141537623929548377210063406357 absolute error = 2e-32 relative error = 3.1181042333694409892413066277643e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.573 y[1] (analytic) = 0.64203600350339696134156526603765 y[1] (numeric) = 0.64203600350339696134156526603765 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.574 y[1] (analytic) = 0.6426565725918202239453534000405 y[1] (numeric) = 0.64265657259182022394535340004051 absolute error = 1e-32 relative error = 1.5560410375436158220642567808599e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.575 y[1] (analytic) = 0.6432770835606517325100621617872 y[1] (numeric) = 0.64327708356065173251006216178722 absolute error = 2e-32 relative error = 3.1090801322031377843561352114341e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.576 y[1] (analytic) = 0.64389753646589687863161690642125 y[1] (numeric) = 0.64389753646589687863161690642125 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.462 Order of pole = 4.095e-27 TOP MAIN SOLVE Loop x[1] = 0.577 y[1] (analytic) = 0.6445179313634801407406235195778 y[1] (numeric) = 0.6445179313634801407406235195778 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.578 y[1] (analytic) = 0.64513826830924523989187145150535 y[1] (numeric) = 0.64513826830924523989187145150537 absolute error = 2e-32 relative error = 3.1001106247216225377698759719861e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.579 y[1] (analytic) = 0.64575854735895529517907244739525 y[1] (numeric) = 0.64575854735895529517907244739525 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.58 y[1] (analytic) = 0.64637876856829297877591628487188 y[1] (numeric) = 0.64637876856829297877591628487188 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.581 y[1] (analytic) = 0.64699893199286067060452119144355 y[1] (numeric) = 0.64699893199286067060452119144357 absolute error = 2e-32 relative error = 3.0911952108478427300340108091422e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.582 y[1] (analytic) = 0.6476190376881806126323529905429 y[1] (numeric) = 0.64761903768818061263235299054293 absolute error = 3e-32 relative error = 4.6323530122109496699791159821798e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.583 y[1] (analytic) = 0.64823908570969506279868341453802 y[1] (numeric) = 0.64823908570969506279868341453805 absolute error = 3e-32 relative error = 4.6279221141310640418794537702739e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.584 y[1] (analytic) = 0.64885907611276644857165442670982 y[1] (numeric) = 0.64885907611276644857165442670983 absolute error = 1e-32 relative error = 1.5411666983081671570467261444671e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.585 y[1] (analytic) = 0.64947900895267752013701181160732 y[1] (numeric) = 0.64947900895267752013701181160735 absolute error = 3e-32 relative error = 4.6190869275939703974581534848849e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.586 y[1] (analytic) = 0.65009888428463150321956772435265 y[1] (numeric) = 0.65009888428463150321956772435265 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.587 y[1] (analytic) = 0.65071870216375225153844833430932 y[1] (numeric) = 0.65071870216375225153844833430933 absolute error = 1e-32 relative error = 1.5367623470400143894937375423014e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.588 y[1] (analytic) = 0.65133846264508439889717915699665 y[1] (numeric) = 0.65133846264508439889717915699666 absolute error = 1e-32 relative error = 1.5353000895095334699149967382949e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.589 y[1] (analytic) = 0.65195816578359351090965714016458 y[1] (numeric) = 0.65195816578359351090965714016459 absolute error = 1e-32 relative error = 1.5338407469719968058133330746237e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.59 y[1] (analytic) = 0.6525778116341662363630550554856 y[1] (numeric) = 0.65257781163416623636305505548562 absolute error = 2e-32 relative error = 3.0647686212187610193784367730060e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.591 y[1] (analytic) = 0.65319740025161045821870024630952 y[1] (numeric) = 0.65319740025161045821870024630955 absolute error = 3e-32 relative error = 4.5927923149179794976834906808144e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.321 Order of pole = 5.517e-27 TOP MAIN SOLVE Loop x[1] = 0.592 y[1] (analytic) = 0.65381693169065544425196629430862 y[1] (numeric) = 0.65381693169065544425196629430865 absolute error = 3e-32 relative error = 4.5884403639448864043197905098846e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.026 Order of pole = 4.789e-27 memory used=61.0MB, alloc=4.3MB, time=7.03 TOP MAIN SOLVE Loop x[1] = 0.593 y[1] (analytic) = 0.65443640600595199733221269355595 y[1] (numeric) = 0.65443640600595199733221269355596 absolute error = 1e-32 relative error = 1.5280323509247209506919781148824e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.594 y[1] (analytic) = 0.6550558232520726053438041595711 y[1] (numeric) = 0.65505582325207260534380415957112 absolute error = 2e-32 relative error = 3.0531749035843289457838773134744e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.7377 Order of pole = 1.885e-27 TOP MAIN SOLVE Loop x[1] = 0.595 y[1] (analytic) = 0.6556751834835115907492377530792 y[1] (numeric) = 0.6556751834835115907492377530792 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.596 y[1] (analytic) = 0.65629448675468525979540256360182 y[1] (numeric) = 0.65629448675468525979540256360184 absolute error = 2e-32 relative error = 3.0474124655378602887451528066649e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.597 y[1] (analytic) = 0.65691373311993205136399327647975 y[1] (numeric) = 0.65691373311993205136399327647977 absolute error = 2e-32 relative error = 3.0445397913988534280774905573150e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.598 y[1] (analytic) = 0.65753292263351268546709553845568 y[1] (numeric) = 0.6575329226335126854670955384557 absolute error = 2e-32 relative error = 3.0416727910592158940201025475632e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.599 y[1] (analytic) = 0.65815205534961031138895764147015 y[1] (numeric) = 0.65815205534961031138895764147016 absolute error = 1e-32 relative error = 1.5194057237560400716085073618559e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.6 y[1] (analytic) = 0.65877113132233065547495966178488 y[1] (numeric) = 0.6587711313223306554749596617849 absolute error = 2e-32 relative error = 3.0359557438187411935966217021652e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.067 Order of pole = 6.361e-27 TOP MAIN SOLVE Loop x[1] = 0.601 y[1] (analytic) = 0.65939015060570216856878782189315 y[1] (numeric) = 0.65939015060570216856878782189317 absolute error = 2e-32 relative error = 3.0331056631083150428574378856328e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.602 y[1] (analytic) = 0.66000911325367617309881848584848 y[1] (numeric) = 0.66000911325367617309881848584851 absolute error = 3e-32 relative error = 4.5453917828660987098941956188760e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.603 y[1] (analytic) = 0.6606280193201270098147128545889 y[1] (numeric) = 0.66062801932012700981471285458893 absolute error = 3e-32 relative error = 4.5411334552346023425418647863834e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.604 y[1] (analytic) = 0.66124686885885218417522009649618 y[1] (numeric) = 0.6612468688588521841752200964962 absolute error = 2e-32 relative error = 3.0245889911758722140310790038848e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.605 y[1] (analytic) = 0.6618656619235725123881833297571 y[1] (numeric) = 0.66186566192357251238818332975712 absolute error = 2e-32 relative error = 3.0217612350328360430282299768839e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.92 Order of pole = 3.750e-27 TOP MAIN SOLVE Loop x[1] = 0.606 y[1] (analytic) = 0.66248439856793226710373956702968 y[1] (numeric) = 0.6624843985679322671037395670297 absolute error = 2e-32 relative error = 3.0189390185237949089962458817333e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.607 y[1] (analytic) = 0.66310307884549932276170143940932 y[1] (numeric) = 0.66310307884549932276170143940935 absolute error = 3e-32 relative error = 4.5241834877665971640138725593360e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.608 y[1] (analytic) = 0.66372170280976530059410523568422 y[1] (numeric) = 0.66372170280976530059410523568426 absolute error = 4e-32 relative error = 6.0266222771782297396592281278655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.609 y[1] (analytic) = 0.66434027051414571328390652431172 y[1] (numeric) = 0.66434027051414571328390652431176 absolute error = 4e-32 relative error = 6.0210108848351509143443406983672e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.61 y[1] (analytic) = 0.66495878201198010928080136938592 y[1] (numeric) = 0.66495878201198010928080136938596 absolute error = 4e-32 relative error = 6.0154104407751617987513698675692e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.611 y[1] (analytic) = 0.66557723735653221677514790804788 y[1] (numeric) = 0.66557723735653221677514790804789 absolute error = 1e-32 relative error = 1.5024552281440573168285631297343e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.612 y[1] (analytic) = 0.66619563660099008733095982526045 y[1] (numeric) = 0.66619563660099008733095982526048 absolute error = 3e-32 relative error = 4.5031817009585341028468556003455e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.853 Order of pole = 9.224e-26 TOP MAIN SOLVE Loop x[1] = 0.613 y[1] (analytic) = 0.66681397979846623917894004257968 y[1] (numeric) = 0.66681397979846623917894004257971 absolute error = 3e-32 relative error = 4.4990058560360440705261101659110e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.614 y[1] (analytic) = 0.66743226700199780017051973044772 y[1] (numeric) = 0.66743226700199780017051973044776 absolute error = 4e-32 relative error = 5.9931175008475083941886526546132e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.615 y[1] (analytic) = 0.66805049826454665039386455856212 y[1] (numeric) = 0.66805049826454665039386455856216 absolute error = 4e-32 relative error = 5.9875713144307963150009418081695e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.616 y[1] (analytic) = 0.66866867363899956445280691598545 y[1] (numeric) = 0.66866867363899956445280691598549 absolute error = 4e-32 relative error = 5.9820358836781959961635152337133e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.617 y[1] (analytic) = 0.66928679317816835340965966180138 y[1] (numeric) = 0.66928679317816835340965966180142 absolute error = 4e-32 relative error = 5.9765111769285649783802179877406e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.618 y[1] (analytic) = 0.66990485693479000639286380824345 y[1] (numeric) = 0.66990485693479000639286380824347 absolute error = 2e-32 relative error = 2.9854985813226972071381283548112e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.619 y[1] (analytic) = 0.6705228649615268318704193912728 y[1] (numeric) = 0.67052286496152683187041939127282 absolute error = 2e-32 relative error = 2.9827469047080977964156685351411e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.62 y[1] (analytic) = 0.67114081731096659859004564850872 y[1] (numeric) = 0.67114081731096659859004564850875 absolute error = 3e-32 relative error = 4.4700008144639175641606399747784e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.621 y[1] (analytic) = 0.67175871403562267618701350117095 y[1] (numeric) = 0.67175871403562267618701350117098 absolute error = 3e-32 relative error = 4.4658892208146526170702500105468e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.622 y[1] (analytic) = 0.67237655518793417546059022522578 y[1] (numeric) = 0.67237655518793417546059022522581 absolute error = 3e-32 relative error = 4.4617855528312970565231508716343e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.623 y[1] (analytic) = 0.67299434082026608832003309718832 y[1] (numeric) = 0.67299434082026608832003309718836 absolute error = 4e-32 relative error = 5.9435863830959969840840457392510e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.624 y[1] (analytic) = 0.67361207098490942740106571197155 y[1] (numeric) = 0.67361207098490942740106571197159 absolute error = 4e-32 relative error = 5.9381358682475419452840019311551e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=64.8MB, alloc=4.3MB, time=7.48 TOP MAIN SOLVE Loop x[1] = 0.625 y[1] (analytic) = 0.6742297457340813653537675937392 y[1] (numeric) = 0.67422974573408136535376759373924 absolute error = 4e-32 relative error = 5.9326958285486478291615673304543e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.626 y[1] (analytic) = 0.67484736511992537380280465586565 y[1] (numeric) = 0.6748473651199253738028046558657 absolute error = 5e-32 relative error = 7.4090827917976133412890242500790e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.627 y[1] (analytic) = 0.6754649291945113619809250127817 y[1] (numeric) = 0.67546492919451136198092501278175 absolute error = 5e-32 relative error = 7.4023088155923589490694673358340e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.615 Order of pole = 4.866e-27 TOP MAIN SOLVE Loop x[1] = 0.628 y[1] (analytic) = 0.6760824380098358150366416046422 y[1] (numeric) = 0.67608243800983581503664160464225 absolute error = 5e-32 relative error = 7.3955478191658910677931943291281e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.629 y[1] (analytic) = 0.67669989161782193201702006534205 y[1] (numeric) = 0.6766998916178219320170200653421 absolute error = 5e-32 relative error = 7.3887997647616548146422725640797e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.63 y[1] (analytic) = 0.67731729007031976352648724538125 y[1] (numeric) = 0.6773172900703197635264872453813 absolute error = 5e-32 relative error = 7.3820646147699772464868363780511e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.631 y[1] (analytic) = 0.67793463341910634906257279339082 y[1] (numeric) = 0.67793463341910634906257279339088 absolute error = 6e-32 relative error = 8.8504107980728234055505581761395e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.632 y[1] (analytic) = 0.67855192171588585402949320373105 y[1] (numeric) = 0.67855192171588585402949320373109 absolute error = 4e-32 relative error = 5.8949063026525865028119358512081e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.633 y[1] (analytic) = 0.67916915501228970643048475241352 y[1] (numeric) = 0.67916915501228970643048475241357 absolute error = 5e-32 relative error = 7.3619362173618205101329577319962e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.634 y[1] (analytic) = 0.6797863333598767332397887696331 y[1] (numeric) = 0.67978633335987673323978876963314 absolute error = 4e-32 relative error = 5.8842018494690929020038705900202e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.635 y[1] (analytic) = 0.68040345681013329645518973437502 y[1] (numeric) = 0.68040345681013329645518973437507 absolute error = 5e-32 relative error = 7.3485811248534718628091016523053e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.636 y[1] (analytic) = 0.681020525414473428832003724843 y[1] (numeric) = 0.68102052541447342883200372484305 absolute error = 5e-32 relative error = 7.3419226196698963773612709440672e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.637 y[1] (analytic) = 0.68163753922423896929941181778518 y[1] (numeric) = 0.68163753922423896929941181778524 absolute error = 6e-32 relative error = 8.8023321116212382191863678519279e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.638 y[1] (analytic) = 0.6822544982906996980600301001336 y[1] (numeric) = 0.68225449829069969806003010013366 absolute error = 6e-32 relative error = 8.7943722101242616562263508150240e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.085 Order of pole = 7.810e-26 TOP MAIN SOLVE Loop x[1] = 0.639 y[1] (analytic) = 0.68287140266505347137360503767005 y[1] (numeric) = 0.6828714026650534713736050376701 absolute error = 5e-32 relative error = 7.3220228296080603763406294499655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.64 y[1] (analytic) = 0.68348825239842635602572003764272 y[1] (numeric) = 0.68348825239842635602572003764278 absolute error = 6e-32 relative error = 8.7784976244221022545403778257149e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.641 y[1] (analytic) = 0.68410504754187276348239614533725 y[1] (numeric) = 0.68410504754187276348239614533731 absolute error = 6e-32 relative error = 8.7705828535532789773348434190498e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.642 y[1] (analytic) = 0.68472178814637558373146692850615 y[1] (numeric) = 0.68472178814637558373146692850621 absolute error = 6e-32 relative error = 8.7626830398412225710998055316693e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.643 y[1] (analytic) = 0.68533847426284631881160472823912 y[1] (numeric) = 0.68533847426284631881160472823918 absolute error = 6e-32 relative error = 8.7547981403694454440700326709243e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.986 Order of pole = 1.842e-27 TOP MAIN SOLVE Loop x[1] = 0.644 y[1] (analytic) = 0.68595510594212521602987259026492 y[1] (numeric) = 0.68595510594212521602987259026498 absolute error = 6e-32 relative error = 8.7469281123861574913425649022334e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.645 y[1] (analytic) = 0.68657168323498140086867333677105 y[1] (numeric) = 0.68657168323498140086867333677112 absolute error = 7e-32 relative error = 1.0195585065520721655845244344428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.646 y[1] (analytic) = 0.68718820619211300958296439556415 y[1] (numeric) = 0.68718820619211300958296439556421 absolute error = 6e-32 relative error = 8.7312325006966383339276584385759e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.647 y[1] (analytic) = 0.68780467486414732148860417072725 y[1] (numeric) = 0.68780467486414732148860417072729 absolute error = 4e-32 relative error = 5.8156045548688157083869813282853e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.89 Order of pole = 1.815e-25 TOP MAIN SOLVE Loop x[1] = 0.648 y[1] (analytic) = 0.68842108930164089094269291681635 y[1] (numeric) = 0.68842108930164089094269291681639 absolute error = 4e-32 relative error = 5.8103972440149151191740633970552e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.649 y[1] (analytic) = 0.6890374495550796790167682670327 y[1] (numeric) = 0.68903744955507967901676826703274 absolute error = 4e-32 relative error = 5.8051997066093451333253258142360e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.65 y[1] (analytic) = 0.68965375567487918486371276466538 y[1] (numeric) = 0.68965375567487918486371276466542 absolute error = 4e-32 relative error = 5.8000119147987422858892473598579e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.651 y[1] (analytic) = 0.690270007711384576779227956378 y[1] (numeric) = 0.69027000771138457677922795637806 absolute error = 6e-32 relative error = 8.6922507612538739075570045518407e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.652 y[1] (analytic) = 0.69088620571487082295872682556872 y[1] (numeric) = 0.69088620571487082295872682556876 absolute error = 4e-32 relative error = 5.7896654570793421617702981416823e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.653 y[1] (analytic) = 0.6915023497355428219504935740216 y[1] (numeric) = 0.69150234973554282195049357402164 absolute error = 4e-32 relative error = 5.7845067359926605134588194568657e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.654 y[1] (analytic) = 0.69211843982353553280595700034762 y[1] (numeric) = 0.69211843982353553280595700034766 absolute error = 4e-32 relative error = 5.7793576501441736886196934409313e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.655 y[1] (analytic) = 0.69273447602891410492792097423908 y[1] (numeric) = 0.69273447602891410492792097423912 absolute error = 4e-32 relative error = 5.7742181722063500270948223082713e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=68.6MB, alloc=4.3MB, time=7.93 x[1] = 0.656 y[1] (analytic) = 0.69335045840167400761759276629322 y[1] (numeric) = 0.69335045840167400761759276629327 absolute error = 5e-32 relative error = 7.2113603436941610708127420848750e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.657 y[1] (analytic) = 0.69396638699174115932124726405358 y[1] (numeric) = 0.69396638699174115932124726405361 absolute error = 3e-32 relative error = 4.3229759484528214903531802509050e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.658 y[1] (analytic) = 0.69458226184897205657736238593 y[1] (numeric) = 0.69458226184897205657736238593002 absolute error = 2e-32 relative error = 2.8794285570668290017550377825680e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.659 y[1] (analytic) = 0.69519808302315390266505829574862 y[1] (numeric) = 0.69519808302315390266505829574866 absolute error = 4e-32 relative error = 5.7537557966292293391239570913581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.66 y[1] (analytic) = 0.6958138505640047359546703218079 y[1] (numeric) = 0.69581385056400473595467032180792 absolute error = 2e-32 relative error = 2.8743319759715377221164928910393e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.661 y[1] (analytic) = 0.69642956452117355796128279543538 y[1] (numeric) = 0.6964295645211735579612827954354 absolute error = 2e-32 relative error = 2.8717907766811843490272498427868e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.662 y[1] (analytic) = 0.6970452249442404611020483451114 y[1] (numeric) = 0.69704522494424046110204834511144 absolute error = 4e-32 relative error = 5.7385085742750430462578928878713e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.663 y[1] (analytic) = 0.69766083188271675615811451320605 y[1] (numeric) = 0.69766083188271675615811451320609 absolute error = 4e-32 relative error = 5.7334449881693186791966822822410e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.664 y[1] (analytic) = 0.69827638538604509944197690322652 y[1] (numeric) = 0.69827638538604509944197690322655 absolute error = 3e-32 relative error = 4.2962930764749220497559312950140e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.665 y[1] (analytic) = 0.69889188550359961967107541615095 y[1] (numeric) = 0.69889188550359961967107541615098 absolute error = 3e-32 relative error = 4.2925094170156144968780498559741e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.666 y[1] (analytic) = 0.69950733228468604454844749489038 y[1] (numeric) = 0.6995073322846860445484474948904 absolute error = 2e-32 relative error = 2.8591551620591711341248660275269e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.667 y[1] (analytic) = 0.70012272577854182705124966613325 y[1] (numeric) = 0.70012272577854182705124966613329 absolute error = 4e-32 relative error = 5.7132840468104636936808816958213e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.668 y[1] (analytic) = 0.70073806603433627142795604874638 y[1] (numeric) = 0.7007380660343362714279560487464 absolute error = 2e-32 relative error = 2.8541335157065660207948127805208e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.669 y[1] (analytic) = 0.70135335310117065890503988749025 y[1] (numeric) = 0.70135335310117065890503988749027 absolute error = 2e-32 relative error = 2.8516296260032262963803370162122e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.67 y[1] (analytic) = 0.70196858702807837310394157001875 y[1] (numeric) = 0.70196858702807837310394157001878 absolute error = 3e-32 relative error = 4.2736955120756729572562748155751e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.671 y[1] (analytic) = 0.7025837678640250251691239939288 y[1] (numeric) = 0.70258376786402502516912399392883 absolute error = 3e-32 relative error = 4.2699534734776377812433796151108e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.8896 Order of pole = 9.67e-28 TOP MAIN SOLVE Loop x[1] = 0.672 y[1] (analytic) = 0.70319889565790857860801356896925 y[1] (numeric) = 0.70319889565790857860801356896928 absolute error = 3e-32 relative error = 4.2662183039881175859806878864633e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.673 y[1] (analytic) = 0.70381397045855947384362256736788 y[1] (numeric) = 0.70381397045855947384362256736792 absolute error = 4e-32 relative error = 5.6833199792750061221699041842788e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.674 y[1] (analytic) = 0.7044289923147407524806459725523 y[1] (numeric) = 0.70442899231474075248064597255234 absolute error = 4e-32 relative error = 5.6783579944034860677440077635200e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.675 y[1] (analytic) = 0.70504396127514818128582342328548 y[1] (numeric) = 0.70504396127514818128582342328551 absolute error = 3e-32 relative error = 4.2550538190188536065252038612148e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.062 Order of pole = 4.009e-27 TOP MAIN SOLVE Loop x[1] = 0.676 y[1] (analytic) = 0.70565887738841037588335430637135 y[1] (numeric) = 0.7056588773884103758833543063714 absolute error = 5e-32 relative error = 7.0855765586123116899712833495713e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.962 Order of pole = 7.255e-27 TOP MAIN SOLVE Loop x[1] = 0.677 y[1] (analytic) = 0.70627374070308892416615151657022 y[1] (numeric) = 0.70627374070308892416615151657027 absolute error = 5e-32 relative error = 7.0794080423017661902661853792530e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.243 Order of pole = 6.34e-28 TOP MAIN SOLVE Loop x[1] = 0.678 y[1] (analytic) = 0.70688855126767850942371687715965 y[1] (numeric) = 0.70688855126767850942371687715968 absolute error = 3e-32 relative error = 4.2439504708628187470691674760383e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9592 Order of pole = 2.091e-27 TOP MAIN SOLVE Loop x[1] = 0.679 y[1] (analytic) = 0.7075033091306070331874186986464 y[1] (numeric) = 0.70750330913060703318741869864643 absolute error = 3e-32 relative error = 4.2402628528853874927245315607612e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.68 y[1] (analytic) = 0.7081180143402357377939494464392 y[1] (numeric) = 0.70811801434023573779394944643925 absolute error = 5e-32 relative error = 7.0609699213182362132075413210781e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.681 y[1] (analytic) = 0.70873266694485932866773899079272 y[1] (numeric) = 0.70873266694485932866773899079276 absolute error = 4e-32 relative error = 5.6438770026543833160763164679742e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.682 y[1] (analytic) = 0.7093472669927060963230964239934 y[1] (numeric) = 0.70934726699270609632309642399345 absolute error = 5e-32 relative error = 7.0487337199417345253511736426082e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.683 y[1] (analytic) = 0.70996181453193803808685095053905 y[1] (numeric) = 0.7099618145319380380868509505391 absolute error = 5e-32 relative error = 7.0426322904371811699406982154814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.684 y[1] (analytic) = 0.71057630961065097954225988592765 y[1] (numeric) = 0.7105763096106509795422598859277 absolute error = 5e-32 relative error = 7.0365419341656221405371606122477e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.685 y[1] (analytic) = 0.71119075227687469569494933858232 y[1] (numeric) = 0.71119075227687469569494933858237 absolute error = 5e-32 relative error = 7.0304626206014596788883086977181e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.537 Order of pole = 6.368e-26 TOP MAIN SOLVE Loop x[1] = 0.686 y[1] (analytic) = 0.71180514257857303186165069735785 y[1] (numeric) = 0.7118051425785730318616506973579 absolute error = 5e-32 relative error = 7.0243943193316730517135232557795e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.21 Order of pole = 1.894e-27 TOP MAIN SOLVE Loop x[1] = 0.687 y[1] (analytic) = 0.7124194805636440242824936039657 y[1] (numeric) = 0.71241948056364402428249360396573 absolute error = 3e-32 relative error = 4.2110022000331795723930296579017e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=72.4MB, alloc=4.3MB, time=8.37 TOP MAIN SOLVE Loop x[1] = 0.688 y[1] (analytic) = 0.71303376627992002045761365547978 y[1] (numeric) = 0.71303376627992002045761365547981 absolute error = 3e-32 relative error = 4.2073743795497500711678700490686e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.689 y[1] (analytic) = 0.7136479997751677992088306568097 y[1] (numeric) = 0.71364799977516779920883065680972 absolute error = 2e-32 relative error = 2.8025020747344527122395987165184e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.69 y[1] (analytic) = 0.71426218109708869046715082661262 y[1] (numeric) = 0.71426218109708869046715082661266 absolute error = 4e-32 relative error = 5.6001845062776541152345779376886e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.292 Order of pole = 5.752e-27 TOP MAIN SOLVE Loop x[1] = 0.691 y[1] (analytic) = 0.71487631029331869478684395252638 y[1] (numeric) = 0.7148763102933186947868439525264 absolute error = 2e-32 relative error = 2.7976867763031428001192948816227e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.692 y[1] (analytic) = 0.71549038741142860258684409280442 y[1] (numeric) = 0.71549038741142860258684409280445 absolute error = 3e-32 relative error = 4.1929284484920819875254011040317e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.693 y[1] (analytic) = 0.71610441249892411312022003138665 y[1] (numeric) = 0.71610441249892411312022003138668 absolute error = 3e-32 relative error = 4.1893332140367271492549399167147e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.694 y[1] (analytic) = 0.71671838560324595317245931210748 y[1] (numeric) = 0.71671838560324595317245931210751 absolute error = 3e-32 relative error = 4.1857444433701342871550004997373e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.695 y[1] (analytic) = 0.7173323067717699954893073050935 y[1] (numeric) = 0.71733230677176999548930730509354 absolute error = 4e-32 relative error = 5.5762161584514551064210929092938e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.696 y[1] (analytic) = 0.71794617605180737693490039439802 y[1] (numeric) = 0.71794617605180737693490039439806 absolute error = 4e-32 relative error = 5.5714482971371907940866372447748e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.697 y[1] (analytic) = 0.71855999349060461638093002052525 y[1] (numeric) = 0.71855999349060461638093002052529 absolute error = 4e-32 relative error = 5.5666889838507286427313858594360e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.698 y[1] (analytic) = 0.71917375913534373232757196467748 y[1] (numeric) = 0.71917375913534373232757196467751 absolute error = 3e-32 relative error = 4.1714536464829772720524608504101e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.699 y[1] (analytic) = 0.71978747303314236025691292327818 y[1] (numeric) = 0.71978747303314236025691292327821 absolute error = 3e-32 relative error = 4.1678969312402385452339682259528e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.7 y[1] (analytic) = 0.72040113523105386971960409154928 y[1] (numeric) = 0.72040113523105386971960409154931 absolute error = 3e-32 relative error = 4.1643465748257206855079960431021e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.701 y[1] (analytic) = 0.72101474577606748115546915361512 y[1] (numeric) = 0.72101474577606748115546915361515 absolute error = 3e-32 relative error = 4.1608025599683629739085636241561e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.702 y[1] (analytic) = 0.72162830471510838244879176373605 y[1] (numeric) = 0.72162830471510838244879176373609 absolute error = 4e-32 relative error = 5.5430198259464890090921696746763e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.703 y[1] (analytic) = 0.72224181209503784521900529880562 y[1] (numeric) = 0.72224181209503784521900529880567 absolute error = 5e-32 relative error = 6.9228891435906836325658427263609e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.704 y[1] (analytic) = 0.7228552679626533408475053661428 y[1] (numeric) = 0.72285526796265334084750536614284 absolute error = 4e-32 relative error = 5.5336111906244859669732429575117e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.705 y[1] (analytic) = 0.72346867236468865624130326284068 y[1] (numeric) = 0.72346867236468865624130326284071 absolute error = 3e-32 relative error = 4.1466895728800117993451480421661e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.7746 Order of pole = 6.884e-27 TOP MAIN SOLVE Loop x[1] = 0.706 y[1] (analytic) = 0.72408202534781400933423630346185 y[1] (numeric) = 0.72408202534781400933423630346188 absolute error = 3e-32 relative error = 4.1431770089292645997432176473223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.707 y[1] (analytic) = 0.7246953269586361643264486616632 y[1] (numeric) = 0.72469532695863616432644866166324 absolute error = 4e-32 relative error = 5.5195609122898486836332455233689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.708 y[1] (analytic) = 0.72530857724369854666285410835718 y[1] (numeric) = 0.72530857724369854666285410835721 absolute error = 3e-32 relative error = 4.1361705819067147753302826839897e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.066 Order of pole = 4.010e-26 TOP MAIN SOLVE Loop x[1] = 0.709 y[1] (analytic) = 0.72592177624948135775128977423735 y[1] (numeric) = 0.7259217762494813577512897742374 absolute error = 5e-32 relative error = 6.8877944753673069071474329804062e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.808 Order of pole = 1.251e-26 TOP MAIN SOLVE Loop x[1] = 0.71 y[1] (analytic) = 0.72653492402240168942106781788198 y[1] (numeric) = 0.72653492402240168942106781788202 absolute error = 4e-32 relative error = 5.5055853032560697494498723481948e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.711 y[1] (analytic) = 0.72714802060881363812262964216412 y[1] (numeric) = 0.72714802060881363812262964216416 absolute error = 4e-32 relative error = 5.5009432558875024142635856086135e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.712 y[1] (analytic) = 0.7277610660550084188690050713115 y[1] (numeric) = 0.72776106605500841886900507131155 absolute error = 5e-32 relative error = 6.8703867700749889892565978093516e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.713 y[1] (analytic) = 0.72837406040721447891977667863648 y[1] (numeric) = 0.72837406040721447891977667863653 absolute error = 5e-32 relative error = 6.8646047021562431441081202981464e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.714 y[1] (analytic) = 0.72898700371159761120824724066705 y[1] (numeric) = 0.72898700371159761120824724066711 absolute error = 6e-32 relative error = 8.2305994063698349963795000865054e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.715 y[1] (analytic) = 0.72959989601426106751250608711912 y[1] (numeric) = 0.72959989601426106751250608711919 absolute error = 7e-32 relative error = 9.5942996130349983568025301113306e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.716 y[1] (analytic) = 0.73021273736124567137108791782605 y[1] (numeric) = 0.73021273736124567137108791782611 absolute error = 6e-32 relative error = 8.2167835385644916710078788107740e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.717 y[1] (analytic) = 0.73082552779852993074391546735202 y[1] (numeric) = 0.73082552779852993074391546735209 absolute error = 7e-32 relative error = 9.5782094819349585277140478416299e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.718 y[1] (analytic) = 0.7314382673720301504192152155287 y[1] (numeric) = 0.73143826737203015041921521552876 absolute error = 6e-32 relative error = 8.2030162593998252310802531201689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.719 y[1] (analytic) = 0.73205095612760054416709316753672 y[1] (numeric) = 0.73205095612760054416709316753677 absolute error = 5e-32 relative error = 6.8301256328507168188420983859203e-30 % memory used=76.2MB, alloc=4.3MB, time=8.81 Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.72 y[1] (analytic) = 0.7326635941110333466404555603754 y[1] (numeric) = 0.73266359411103334664045556037545 absolute error = 5e-32 relative error = 6.8244144245582133122611560246892e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.721 y[1] (analytic) = 0.73327618136805892502395719359088 y[1] (numeric) = 0.73327618136805892502395719359093 absolute error = 5e-32 relative error = 6.8187132311751876447314012997879e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.722 y[1] (analytic) = 0.73388871794434589043165793093535 y[1] (numeric) = 0.7338887179443458904316579309354 absolute error = 5e-32 relative error = 6.8130220260167191646724052229707e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.723 y[1] (analytic) = 0.73450120388550120905406577617582 y[1] (numeric) = 0.73450120388550120905406577617588 absolute error = 6e-32 relative error = 8.1688089389916353996648887952754e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.724 y[1] (analytic) = 0.73511363923707031305524279052832 y[1] (numeric) = 0.73511363923707031305524279052839 absolute error = 7e-32 relative error = 9.5223372637526815413426817803921e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.725 y[1] (analytic) = 0.73572602404453721122064799113182 y[1] (numeric) = 0.73572602404453721122064799113188 absolute error = 6e-32 relative error = 8.1552096893568490972890187207018e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.726 y[1] (analytic) = 0.7363383583533245993563892495645 y[1] (numeric) = 0.73633835835332459935638924956456 absolute error = 6e-32 relative error = 8.1484278687013069987407527676795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.727 y[1] (analytic) = 0.73695064220879397044055409661192 y[1] (numeric) = 0.73695064220879397044055409661199 absolute error = 7e-32 relative error = 9.4986008547594825406295347613667e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.728 y[1] (analytic) = 0.73756287565624572452728723429155 y[1] (numeric) = 0.73756287565624572452728723429161 absolute error = 6e-32 relative error = 8.1348996784328480016975362609784e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.729 y[1] (analytic) = 0.73817505874091927840428045849052 y[1] (numeric) = 0.73817505874091927840428045849059 absolute error = 7e-32 relative error = 9.4828454539491863853257657301931e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.73 y[1] (analytic) = 0.73878719150799317500433860545315 y[1] (numeric) = 0.73878719150799317500433860545321 absolute error = 6e-32 relative error = 8.1214185478134187174302761934719e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.731 y[1] (analytic) = 0.7393992740025851925716830527298 y[1] (numeric) = 0.73939927400258519257168305272987 absolute error = 7e-32 relative error = 9.4671448108231786112898078922824e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.732 y[1] (analytic) = 0.74001130626975245358365223004175 y[1] (numeric) = 0.74001130626975245358365223004182 absolute error = 7e-32 relative error = 9.4593149330185052437533667367789e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.733 y[1] (analytic) = 0.74062328835449153342845652779382 y[1] (numeric) = 0.74062328835449153342845652779389 absolute error = 7e-32 relative error = 9.4514986364424497480432319788499e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.734 y[1] (analytic) = 0.74123522030173856883964293065215 y[1] (numeric) = 0.74123522030173856883964293065223 absolute error = 8e-32 relative error = 1.0792795297481138838975855580921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.735 y[1] (analytic) = 0.74184710215636936608792265066448 y[1] (numeric) = 0.74184710215636936608792265066455 absolute error = 7e-32 relative error = 9.4359066439064060125256613928620e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.736 y[1] (analytic) = 0.74245893396319950893101298880815 y[1] (numeric) = 0.74245893396319950893101298880822 absolute error = 7e-32 relative error = 9.4281308767266579165794239798724e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.737 y[1] (analytic) = 0.74307071576698446632214261557598 y[1] (numeric) = 0.74307071576698446632214261557605 absolute error = 7e-32 relative error = 9.4203685483348965736019646508076e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.738 y[1] (analytic) = 0.74368244761241969987786743022185 y[1] (numeric) = 0.74368244761241969987786743022193 absolute error = 8e-32 relative error = 1.0757279569638719837177413287252e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.739 y[1] (analytic) = 0.74429412954414077110584213455935 y[1] (numeric) = 0.74429412954414077110584213455941 absolute error = 6e-32 relative error = 8.0613292001575120752944294257320e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.74 y[1] (analytic) = 0.74490576160672344839319064070588 y[1] (numeric) = 0.74490576160672344839319064070595 absolute error = 7e-32 relative error = 9.3971618435348918736333921413257e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6084 Order of pole = 1.586e-27 TOP MAIN SOLVE Loop x[1] = 0.741 y[1] (analytic) = 0.745517343844683813756116422866 y[1] (numeric) = 0.74551734384468381375611642286608 absolute error = 8e-32 relative error = 1.0730803335497808954264469534750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.742 y[1] (analytic) = 0.7461288763024783693513919211177 y[1] (numeric) = 0.74612887630247836935139192111778 absolute error = 8e-32 relative error = 1.0722008293855154876893670763088e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.743 y[1] (analytic) = 0.74674035902450414375036411018038 y[1] (numeric) = 0.74674035902450414375036411018045 absolute error = 7e-32 relative error = 9.3740748245405821476066600965264e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.744 y[1] (analytic) = 0.74735179205509879797611135827055 y[1] (numeric) = 0.74735179205509879797611135827063 absolute error = 8e-32 relative error = 1.0704463527144652817899718572846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.745 y[1] (analytic) = 0.74796317543854073130438472036435 y[1] (numeric) = 0.74796317543854073130438472036442 absolute error = 7e-32 relative error = 9.3587495078160861953501694711582e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.746 y[1] (analytic) = 0.74857450921904918682896483645575 y[1] (numeric) = 0.74857450921904918682896483645583 absolute error = 8e-32 relative error = 1.0686978919902048064446137103511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.747 y[1] (analytic) = 0.74918579344078435679206363869852 y[1] (numeric) = 0.74918579344078435679206363869859 absolute error = 7e-32 relative error = 9.3434766933461345489259517364283e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.748 y[1] (analytic) = 0.7497970281478474876803981116182 y[1] (numeric) = 0.74979702814784748768039811161827 absolute error = 7e-32 relative error = 9.3358598890308172441443624474707e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.749 y[1] (analytic) = 0.75040821338428098508756139685285 y[1] (numeric) = 0.75040821338428098508756139685292 absolute error = 7e-32 relative error = 9.3282561080062813140696325180333e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.75 y[1] (analytic) = 0.75101934919406851834331458809672 y[1] (numeric) = 0.75101934919406851834331458809679 absolute error = 7e-32 relative error = 9.3206653164286880337975993834208e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=80.1MB, alloc=4.3MB, time=9.26 x[1] = 0.751 y[1] (analytic) = 0.75163043562113512491042062305438 y[1] (numeric) = 0.75163043562113512491042062305445 absolute error = 7e-32 relative error = 9.3130874805719039895627642032678e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.739 Order of pole = 7.823e-27 TOP MAIN SOLVE Loop x[1] = 0.752 y[1] (analytic) = 0.7522414727093473145496397472348 y[1] (numeric) = 0.75224147270934731454963974723487 absolute error = 7e-32 relative error = 9.3055225668269889761411676004326e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.753 y[1] (analytic) = 0.75285246050251317325350409929862 y[1] (numeric) = 0.75285246050251317325350409929871 absolute error = 9e-32 relative error = 1.1954533553616454157839514444956e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.754 y[1] (analytic) = 0.75346339904438246694948704938995 y[1] (numeric) = 0.75346339904438246694948704939003 absolute error = 8e-32 relative error = 1.0617635853508476962727649763974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.755 y[1] (analytic) = 0.75407428837864674497318101040845 y[1] (numeric) = 0.75407428837864674497318101040853 absolute error = 8e-32 relative error = 1.0609034313052885434085689841667e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.756 y[1] (analytic) = 0.75468512854893944331209553748312 y[1] (numeric) = 0.7546851285489394433120955374832 absolute error = 8e-32 relative error = 1.0600447388412026998027639574678e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.757 y[1] (analytic) = 0.75529591959883598762068563296552 y[1] (numeric) = 0.75529591959883598762068563296561 absolute error = 9e-32 relative error = 1.1915859422066273013501733315780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.758 y[1] (analytic) = 0.75590666157185389600721828304432 y[1] (numeric) = 0.75590666157185389600721828304439 absolute error = 7e-32 relative error = 9.2604025812446210277805221368256e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.759 y[1] (analytic) = 0.7565173545114528815930833675646 y[1] (numeric) = 0.75651735451145288159308336756467 absolute error = 7e-32 relative error = 9.2529271909703788830827075995074e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.76 y[1] (analytic) = 0.7571279984610349548451532067909 y[1] (numeric) = 0.75712799846103495484515320679098 absolute error = 8e-32 relative error = 1.0566245094965556497304083454238e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.761 y[1] (analytic) = 0.7577385934639445256817931376523 y[1] (numeric) = 0.75773859346394452568179313765238 absolute error = 8e-32 relative error = 1.0557730685761439954422773008074e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.762 y[1] (analytic) = 0.75834913956346850535312364742825 y[1] (numeric) = 0.75834913956346850535312364742832 absolute error = 7e-32 relative error = 9.2305768343449792821673750327955e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.763 y[1] (analytic) = 0.7589596368028364080961327348465 y[1] (numeric) = 0.75895963680283640809613273484656 absolute error = 6e-32 relative error = 7.9055587531312793117276423663454e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.764 y[1] (analytic) = 0.7595700852252204525652353171437 y[1] (numeric) = 0.75957008522522045256523531714375 absolute error = 5e-32 relative error = 6.5826710362315649254826306383544e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.765 y[1] (analytic) = 0.76018048487373566303887465675958 y[1] (numeric) = 0.76018048487373566303887465675963 absolute error = 5e-32 relative error = 6.5773853703051706236833852132170e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.766 y[1] (analytic) = 0.76079083579143997040275894297045 y[1] (numeric) = 0.76079083579143997040275894297052 absolute error = 7e-32 relative error = 9.2009520497417648072418924859073e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.767 y[1] (analytic) = 0.76140113802133431291032433189148 y[1] (numeric) = 0.76140113802133431291032433189155 absolute error = 7e-32 relative error = 9.1935770127570538924577706373569e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.768 y[1] (analytic) = 0.76201139160636273672101392286368 y[1] (numeric) = 0.76201139160636273672101392286375 absolute error = 7e-32 relative error = 9.1862143756717436144753920624349e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.769 y[1] (analytic) = 0.7626215965894124962169603302663 y[1] (numeric) = 0.76262159658941249621696033026636 absolute error = 6e-32 relative error = 7.8675978058228756716704084762233e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.362 Order of pole = 7.694e-26 TOP MAIN SOLVE Loop x[1] = 0.77 y[1] (analytic) = 0.76323175301331415409865769723072 y[1] (numeric) = 0.7632317530133141540986576972308 absolute error = 8e-32 relative error = 1.0481744199471801119502847748469e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.089 Order of pole = 1.520e-27 TOP MAIN SOLVE Loop x[1] = 0.771 y[1] (analytic) = 0.76384186092084168126020719155515 y[1] (numeric) = 0.7638418609208416812602071915552 absolute error = 5e-32 relative error = 6.5458575338778913520320670478166e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.772 y[1] (analytic) = 0.76445192035471255644471822430225 y[1] (numeric) = 0.76445192035471255644471822430231 absolute error = 6e-32 relative error = 7.8487604520843457560011875934282e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.773 y[1] (analytic) = 0.76506193135758786568044583808315 y[1] (numeric) = 0.76506193135758786568044583808321 absolute error = 6e-32 relative error = 7.8425023571008349133639571520729e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.31 Order of pole = 1.113e-26 TOP MAIN SOLVE Loop x[1] = 0.774 y[1] (analytic) = 0.76567189397207240149824292485985 y[1] (numeric) = 0.76567189397207240149824292485991 absolute error = 6e-32 relative error = 7.8362547289986430869682272803315e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.775 y[1] (analytic) = 0.7662818082407147619309041522165 y[1] (numeric) = 0.76628180824071476193090415221655 absolute error = 5e-32 relative error = 6.5250146176370308137601415458429e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.776 y[1] (analytic) = 0.7668916742060074492949767024264 y[1] (numeric) = 0.76689167420600744929497670242645 absolute error = 5e-32 relative error = 6.5198256392295469753845965404500e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.777 y[1] (analytic) = 0.76750149191038696875561116025638 y[1] (numeric) = 0.76750149191038696875561116025642 absolute error = 4e-32 relative error = 5.2117162535327523395416665629003e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.778 y[1] (analytic) = 0.76811126139623392667502412327502 y[1] (numeric) = 0.76811126139623392667502412327508 absolute error = 6e-32 relative error = 7.8113683544926844187932584409706e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.779 y[1] (analytic) = 0.768720982705873128745142352445 y[1] (numeric) = 0.76872098270587312874514235244505 absolute error = 5e-32 relative error = 6.5043105528356476677253683242173e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.78 y[1] (analytic) = 0.76933065588157367790499653095405 y[1] (numeric) = 0.7693306558815736779049965309541 absolute error = 5e-32 relative error = 6.4991560673875852280896736283144e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.781 y[1] (analytic) = 0.76994028096554907204343095555432 y[1] (numeric) = 0.76994028096554907204343095555438 absolute error = 6e-32 relative error = 7.7928121808040195406011664167447e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.782 y[1] (analytic) = 0.7705498579999573014876937471068 y[1] (numeric) = 0.77054985799995730148769374710685 absolute error = 5e-32 relative error = 6.4888727810268145753318591655328e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=83.9MB, alloc=4.3MB, time=9.71 x[1] = 0.783 y[1] (analytic) = 0.7711593870269009462784704355461 y[1] (numeric) = 0.77115938702690094627847043554615 absolute error = 5e-32 relative error = 6.4837439368751160033156207921257e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.784 y[1] (analytic) = 0.77176886808842727323192204906528 y[1] (numeric) = 0.77176886808842727323192204906532 absolute error = 4e-32 relative error = 5.1828988773640068425744155811444e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.566 Order of pole = 5.716e-27 TOP MAIN SOLVE Loop x[1] = 0.785 y[1] (analytic) = 0.7723783012265283327892871179462 y[1] (numeric) = 0.77237830122652833278928711794624 absolute error = 4e-32 relative error = 5.1788093912633790352476562332097e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.786 y[1] (analytic) = 0.77298768648314105565460529010615 y[1] (numeric) = 0.7729876864831410556546052901062 absolute error = 5e-32 relative error = 6.4684083426328299425656293627672e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.787 y[1] (analytic) = 0.77359702390014734922111854807055 y[1] (numeric) = 0.77359702390014734922111854807059 absolute error = 4e-32 relative error = 5.1706507088583411866010588138223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.788 y[1] (analytic) = 0.77420631351937419378690431569205 y[1] (numeric) = 0.77420631351937419378690431569211 absolute error = 6e-32 relative error = 7.7498722178140084023330887869979e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.789 y[1] (analytic) = 0.774815555382593738560293047495 y[1] (numeric) = 0.77481555538259373856029304749505 absolute error = 5e-32 relative error = 6.4531487077993235569432168808825e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.79 y[1] (analytic) = 0.77542474953152339745562120400552 y[1] (numeric) = 0.77542474953152339745562120400557 absolute error = 5e-32 relative error = 6.4480789438572525787398350556623e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6812 Order of pole = 3.98e-28 TOP MAIN SOLVE Loop x[1] = 0.791 y[1] (analytic) = 0.7760338960078259446798688328121 y[1] (numeric) = 0.77603389600782594467986883281216 absolute error = 6e-32 relative error = 7.7316210424131947471484731888526e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.792 y[1] (analytic) = 0.77664299485310961011072929736158 y[1] (numeric) = 0.77664299485310961011072929736164 absolute error = 6e-32 relative error = 7.7255573535879379582641501433948e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.793 y[1] (analytic) = 0.77725204610892817446665702361175 y[1] (numeric) = 0.7772520461089281744666570236118 absolute error = 5e-32 relative error = 6.4329197009270707027349798966167e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.794 y[1] (analytic) = 0.77786104981678106426943746860928 y[1] (numeric) = 0.77786104981678106426943746860932 absolute error = 4e-32 relative error = 5.1423065866868741403275440718198e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.795 y[1] (analytic) = 0.778470006018113446599821854818 y[1] (numeric) = 0.77847000601811344659982185481805 absolute error = 5e-32 relative error = 6.4228550378903872094113484640906e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.796 y[1] (analytic) = 0.77907891475431632364676755956505 y[1] (numeric) = 0.77907891475431632364676755956511 absolute error = 6e-32 relative error = 7.7014021126372144009407082354950e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.797 y[1] (analytic) = 0.7796877760667266270508234002782 y[1] (numeric) = 0.77968777606672662705082340027826 absolute error = 6e-32 relative error = 7.6953880568297029593555713519381e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.798 y[1] (analytic) = 0.78029658999662731204219741323458 y[1] (numeric) = 0.78029658999662731204219741323462 absolute error = 4e-32 relative error = 5.1262559022810663078128251032198e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.799 y[1] (analytic) = 0.7809053565852474513740430863058 y[1] (numeric) = 0.78090535658524745137404308630585 absolute error = 5e-32 relative error = 6.4028245648922956571470456347970e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.8 y[1] (analytic) = 0.781514075873762329051498374646 y[1] (numeric) = 0.78151407587376232905149837464605 absolute error = 5e-32 relative error = 6.3978374214307153377344680912011e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.801 y[1] (analytic) = 0.78212274790329353385701020240315 y[1] (numeric) = 0.7821227479032935338570102024032 absolute error = 5e-32 relative error = 6.3928584271509141005603341483406e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.802 y[1] (analytic) = 0.78273137271490905267247553332128 y[1] (numeric) = 0.78273137271490905267247553332131 absolute error = 3e-32 relative error = 3.8327325370829071774666074421771e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.803 y[1] (analytic) = 0.7833399503496233635987284785159 y[1] (numeric) = 0.78333995034962336359872847851595 absolute error = 5e-32 relative error = 6.3829248052118117555527298072757e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.804 y[1] (analytic) = 0.78394848084839752887290130072888 y[1] (numeric) = 0.78394848084839752887290130072893 absolute error = 5e-32 relative error = 6.3779701372581855077070833642962e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.805 y[1] (analytic) = 0.78455696425213928758418557097645 y[1] (numeric) = 0.78455696425213928758418557097649 absolute error = 4e-32 relative error = 5.0984188303177031111253989692671e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.806 y[1] (analytic) = 0.7851654006017031481885181356774 y[1] (numeric) = 0.78516540060170314818851813567745 absolute error = 5e-32 relative error = 6.3680849871483170492495193738186e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.807 y[1] (analytic) = 0.78577378993789048082271496006218 y[1] (numeric) = 0.78577378993789048082271496006221 absolute error = 3e-32 relative error = 3.8178926790585971040937953593938e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.808 y[1] (analytic) = 0.78638213230144960941857432689802 y[1] (numeric) = 0.78638213230144960941857432689807 absolute error = 5e-32 relative error = 6.3582319518970370775259917848623e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.809 y[1] (analytic) = 0.78699042773307590361746928829972 y[1] (numeric) = 0.78699042773307590361746928829975 absolute error = 3e-32 relative error = 3.8119904566584031032997199954916e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.81 y[1] (analytic) = 0.78759867627341187048594769260508 y[1] (numeric) = 0.78759867627341187048594769260511 absolute error = 3e-32 relative error = 3.8090465237889270717398623391812e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.811 y[1] (analytic) = 0.78820687796304724603285653796288 y[1] (numeric) = 0.78820687796304724603285653796291 absolute error = 3e-32 relative error = 3.8061073607386691046787716393458e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.812 y[1] (analytic) = 0.78881503284251908652850583938148 y[1] (numeric) = 0.78881503284251908652850583938151 absolute error = 3e-32 relative error = 3.8031729557554301214267649241048e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.813 y[1] (analytic) = 0.78942314095231185962638563650285 y[1] (numeric) = 0.78942314095231185962638563650289 absolute error = 4e-32 relative error = 5.0669910628343682935895779533310e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.814 y[1] (analytic) = 0.7900312023328575352879482152746 y[1] (numeric) = 0.79003120233285753528794821527465 absolute error = 5e-32 relative error = 6.3288639552914644789800945689038e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=87.7MB, alloc=4.3MB, time=10.16 TOP MAIN SOLVE Loop x[1] = 0.815 y[1] (analytic) = 0.7906392170245356765109660679725 y[1] (numeric) = 0.79063921702453567651096606797254 absolute error = 4e-32 relative error = 5.0591975630218063989464730679903e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.816 y[1] (analytic) = 0.79124718506767352986197457265675 y[1] (numeric) = 0.7912471850676735298619745726568 absolute error = 5e-32 relative error = 6.3191378046701823515160056720577e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.817 y[1] (analytic) = 0.79185510650254611581330683510622 y[1] (numeric) = 0.79185510650254611581330683510627 absolute error = 5e-32 relative error = 6.3142864887036288820363400660440e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.818 y[1] (analytic) = 0.79246298136937631888522660354418 y[1] (numeric) = 0.79246298136937631888522660354423 absolute error = 5e-32 relative error = 6.3094429866742774390442416753169e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.819 y[1] (analytic) = 0.79307080970833497759366363902862 y[1] (numeric) = 0.79307080970833497759366363902866 absolute error = 4e-32 relative error = 5.0436858235534690007532159678234e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.571 Order of pole = 3.273e-27 TOP MAIN SOLVE Loop x[1] = 0.82 y[1] (analytic) = 0.79367859155954097420405440220648 y[1] (numeric) = 0.79367859155954097420405440220652 absolute error = 4e-32 relative error = 5.0398234783430264671350784833908e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.821 y[1] (analytic) = 0.79428632696306132429178940020612 y[1] (numeric) = 0.79428632696306132429178940020617 absolute error = 5e-32 relative error = 6.2949591731201076755943064409154e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.822 y[1] (analytic) = 0.79489401595891126610976702574418 y[1] (numeric) = 0.79489401595891126610976702574422 absolute error = 4e-32 relative error = 5.0321173888504443494198979033268e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.823 y[1] (analytic) = 0.79550165858705434976355221403208 y[1] (numeric) = 0.79550165858705434976355221403212 absolute error = 4e-32 relative error = 5.0282736142934979312484399951876e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.824 y[1] (analytic) = 0.796109254887402526194636741764 y[1] (numeric) = 0.79610925488740252619463674176405 absolute error = 5e-32 relative error = 6.2805449997025515060585663404865e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.825 y[1] (analytic) = 0.79671680489981623597229649633058 y[1] (numeric) = 0.79671680489981623597229649633064 absolute error = 6e-32 relative error = 7.5309067953630959112269323842355e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.826 y[1] (analytic) = 0.79732430866410449789453955241288 y[1] (numeric) = 0.79732430866410449789453955241293 absolute error = 5e-32 relative error = 6.2709739884606879037777897404292e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.827 y[1] (analytic) = 0.79793176622002499739863740724795 y[1] (numeric) = 0.797931766220024997398637407248 absolute error = 5e-32 relative error = 6.2661999580315986198433359315549e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.828 y[1] (analytic) = 0.79853917760728417478173024510152 y[1] (numeric) = 0.79853917760728417478173024510157 absolute error = 5e-32 relative error = 6.2614335529307793647020957474090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.829 y[1] (analytic) = 0.79914654286553731323199562581452 y[1] (numeric) = 0.79914654286553731323199562581456 absolute error = 4e-32 relative error = 5.0053398037073551329788166182034e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.83 y[1] (analytic) = 0.79975386203438862667086852168958 y[1] (numeric) = 0.79975386203438862667086852168962 absolute error = 4e-32 relative error = 5.0015388357424449026265567005295e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.902 Order of pole = 2.986e-27 TOP MAIN SOLVE Loop x[1] = 0.831 y[1] (analytic) = 0.8003611351533913474067991614312 y[1] (numeric) = 0.80036113515339134740679916143123 absolute error = 3e-32 relative error = 3.7483079427951508342031679743650e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.832 y[1] (analytic) = 0.8009683622620478136010336793289 y[1] (numeric) = 0.80096836226204781360103367932895 absolute error = 5e-32 relative error = 6.2424438162317592844312302606262e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.034 Order of pole = 2.96e-28 TOP MAIN SOLVE Loop x[1] = 0.833 y[1] (analytic) = 0.80157554339980955654590111235895 y[1] (numeric) = 0.80157554339980955654590111235899 absolute error = 4e-32 relative error = 4.9901722088904619462370804855557e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.834 y[1] (analytic) = 0.8021826786060773877560888373545 y[1] (numeric) = 0.80218267860607738775608883735453 absolute error = 3e-32 relative error = 3.7397965326463879175840276665901e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.835 y[1] (analytic) = 0.80278976792020148587338709484138 y[1] (numeric) = 0.80278976792020148587338709484143 absolute error = 5e-32 relative error = 6.2282806779582765480196849411173e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.836 y[1] (analytic) = 0.80339681138148148338538180553362 y[1] (numeric) = 0.80339681138148148338538180553367 absolute error = 5e-32 relative error = 6.2235746136485741221416641664624e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.837 y[1] (analytic) = 0.80400380902916655315857344981322 y[1] (numeric) = 0.80400380902916655315857344981326 absolute error = 4e-32 relative error = 4.9751008080794968694133234237442e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.838 y[1] (analytic) = 0.8046107609024554947863983497628 y[1] (numeric) = 0.80461076090245549478639834976285 absolute error = 5e-32 relative error = 6.2141848493201541787890581848525e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.839 y[1] (analytic) = 0.80521766704049682075262726745788 y[1] (numeric) = 0.80521766704049682075262726745793 absolute error = 5e-32 relative error = 6.2095011133784958874334678562600e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.84 y[1] (analytic) = 0.8058245274823888424106148122395 y[1] (numeric) = 0.80582452748238884241061481223954 absolute error = 4e-32 relative error = 4.9638598275198558257760037690398e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6744 Order of pole = 1.474e-27 TOP MAIN SOLVE Loop x[1] = 0.841 y[1] (analytic) = 0.8064313422671797557788717335596 y[1] (numeric) = 0.80643134226717975577887173355964 absolute error = 4e-32 relative error = 4.9601246756537335828473790788025e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.842 y[1] (analytic) = 0.80703811143386772715343076470078 y[1] (numeric) = 0.80703811143386772715343076470082 absolute error = 4e-32 relative error = 4.9563954208967709876366001386605e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.843 y[1] (analytic) = 0.80764483502140097853747527620145 y[1] (numeric) = 0.80764483502140097853747527620148 absolute error = 3e-32 relative error = 3.7145040368152741035367991249613e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.844 y[1] (analytic) = 0.80825151306867787288869859614802 y[1] (numeric) = 0.80825151306867787288869859614806 absolute error = 4e-32 relative error = 4.9489545461081200954713702743121e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.845 y[1] (analytic) = 0.80885814561454699918486045760955 y[1] (numeric) = 0.80885814561454699918486045760958 absolute error = 3e-32 relative error = 3.7089321734167452349095857107530e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=91.5MB, alloc=4.3MB, time=10.61 x[1] = 0.846 y[1] (analytic) = 0.80946473269780725730800564136728 y[1] (numeric) = 0.80946473269780725730800564136731 absolute error = 3e-32 relative error = 3.7061528178028387122425790574704e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.847 y[1] (analytic) = 0.81007127435720794274780849471698 y[1] (numeric) = 0.81007127435720794274780849471701 absolute error = 3e-32 relative error = 3.7033778322537135458562283993807e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.848 y[1] (analytic) = 0.81067777063144883112450562447278 y[1] (numeric) = 0.81067777063144883112450562447281 absolute error = 3e-32 relative error = 3.7006072063173212522159146772778e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.849 y[1] (analytic) = 0.81128422155918026253187768436428 y[1] (numeric) = 0.81128422155918026253187768436431 absolute error = 3e-32 relative error = 3.6978409295750870251414395718153e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.26 Order of pole = 3.12e-28 TOP MAIN SOLVE Loop x[1] = 0.85 y[1] (analytic) = 0.81189062717900322570073980377195 y[1] (numeric) = 0.81189062717900322570073980377199 absolute error = 4e-32 relative error = 4.9267719888557007835770719685926e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.851 y[1] (analytic) = 0.81249698752946944198339883617405 y[1] (numeric) = 0.81249698752946944198339883617409 absolute error = 4e-32 relative error = 4.9230951762204769187844157831794e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.852 y[1] (analytic) = 0.81310330264908144915953424176168 y[1] (numeric) = 0.81310330264908144915953424176171 absolute error = 3e-32 relative error = 3.6895680908268772432476414454526e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.853 y[1] (analytic) = 0.81370957257629268506395805940085 y[1] (numeric) = 0.81370957257629268506395805940089 absolute error = 4e-32 relative error = 4.9157588097870921400209238270191e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.854 y[1] (analytic) = 0.81431579734950757103670806846292 y[1] (numeric) = 0.81431579734950757103670806846295 absolute error = 3e-32 relative error = 3.6840744214524774808460200455280e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.855 y[1] (analytic) = 0.81492197700708159519592689098932 y[1] (numeric) = 0.81492197700708159519592689098935 absolute error = 3e-32 relative error = 3.6813340229428249701854903780523e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.856 y[1] (analytic) = 0.8155281115873213955339784391879 y[1] (numeric) = 0.81552811158732139553397843918794 absolute error = 4e-32 relative error = 4.9047972021645096454726466455122e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.857 y[1] (analytic) = 0.81613420112848484283725177235545 y[1] (numeric) = 0.81613420112848484283725177235547 absolute error = 2e-32 relative error = 2.4505773648923921917729733767005e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.858 y[1] (analytic) = 0.81674024566878112343010109096945 y[1] (numeric) = 0.81674024566878112343010109096949 absolute error = 4e-32 relative error = 4.8975179332868952166760477557451e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.859 y[1] (analytic) = 0.81734624524637082174336926387418 y[1] (numeric) = 0.8173462452463708217433692638742 absolute error = 2e-32 relative error = 2.4469433996080137908739766100653e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.86 y[1] (analytic) = 0.81795219989936600270794095718138 y[1] (numeric) = 0.8179521998993660027079409571814 absolute error = 2e-32 relative error = 2.4451306570800387503369062001845e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.861 y[1] (analytic) = 0.818558109665830293973770110703 y[1] (numeric) = 0.81855810966583029397377011070303 absolute error = 3e-32 relative error = 3.6649810985621114379994229737292e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.862 y[1] (analytic) = 0.81916397458377896795482518940822 y[1] (numeric) = 0.81916397458377896795482518940824 absolute error = 2e-32 relative error = 2.4415136188285249216204340397201e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.863 y[1] (analytic) = 0.81976979469117902370039432353845 y[1] (numeric) = 0.81976979469117902370039432353846 absolute error = 1e-32 relative error = 1.2198546548994485768650042423619e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.864 y[1] (analytic) = 0.8203755700259492685931911416017 y[1] (numeric) = 0.82037557002594926859319114160172 absolute error = 2e-32 relative error = 2.4379077986643825531360259604814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.865 y[1] (analytic) = 0.82098130062596039987470079548555 y[1] (numeric) = 0.82098130062596039987470079548558 absolute error = 3e-32 relative error = 3.6541636182366617611399866280301e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.866 y[1] (analytic) = 0.82158698652903508599820437635928 y[1] (numeric) = 0.82158698652903508599820437635929 absolute error = 1e-32 relative error = 1.2171565718496926974671166466563e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.867 y[1] (analytic) = 0.8221926277729480478099186238638 y[1] (numeric) = 0.82219262777294804780991862386382 absolute error = 2e-32 relative error = 2.4325199867302974793012920164161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.868 y[1] (analytic) = 0.8227982243954261395586865392964 y[1] (numeric) = 0.82279822439542613955868653929642 absolute error = 2e-32 relative error = 2.4307296013789475284716922213156e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.869 y[1] (analytic) = 0.82340377643414842973465322606718 y[1] (numeric) = 0.8234037764341484297346532260672 absolute error = 2e-32 relative error = 2.4289419811277118226098907293373e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.87 y[1] (analytic) = 0.82400928392674628173735999762335 y[1] (numeric) = 0.82400928392674628173735999762337 absolute error = 2e-32 relative error = 2.4271571194794915487985102997064e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.871 y[1] (analytic) = 0.8246147469108034343736885142843 y[1] (numeric) = 0.82461474691080343437368851428433 absolute error = 3e-32 relative error = 3.6380625149364478705668268654096e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.872 y[1] (analytic) = 0.8252201654238560821860854359929 y[1] (numeric) = 0.82522016542385608218608543599292 absolute error = 2e-32 relative error = 2.4235956461058416388047467952842e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.873 y[1] (analytic) = 0.8258255395033929556114968078467 y[1] (numeric) = 0.82582553950339295561149680784673 absolute error = 3e-32 relative error = 3.6327285322321692538809140316441e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.874 y[1] (analytic) = 0.82643086918685540097144012941392 y[1] (numeric) = 0.82643086918685540097144012941395 absolute error = 3e-32 relative error = 3.6300676945329618918005011760572e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.875 y[1] (analytic) = 0.82703615451163746029364079724288 y[1] (numeric) = 0.8270361545116374602936407972429 absolute error = 2e-32 relative error = 2.4182739643117469452312519459058e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.876 y[1] (analytic) = 0.82764139551508595096565835262808 y[1] (numeric) = 0.8276413955150859509656583526281 absolute error = 2e-32 relative error = 2.4165055189817951973529553212952e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.063 Order of pole = 1.531e-27 TOP MAIN SOLVE Loop x[1] = 0.877 y[1] (analytic) = 0.8282465922345005452209267135822 y[1] (numeric) = 0.82824659223450054522092671358221 absolute error = 1e-32 relative error = 1.2073698936715589910337803151697e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=95.3MB, alloc=4.3MB, time=11.05 TOP MAIN SOLVE Loop x[1] = 0.878 y[1] (analytic) = 0.82885174470713384945763132106565 y[1] (numeric) = 0.82885174470713384945763132106567 absolute error = 2e-32 relative error = 2.4129767630599356655098175571623e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.879 y[1] (analytic) = 0.82945685297019148339084488482962 y[1] (numeric) = 0.82945685297019148339084488482966 absolute error = 4e-32 relative error = 4.8224328796325582598918654581360e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.88 y[1] (analytic) = 0.83006191706083215903834217371598 y[1] (numeric) = 0.83006191706083215903834217371601 absolute error = 3e-32 relative error = 3.6141882169738683814240610526873e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.881 y[1] (analytic) = 0.83066693701616775954051305891475 y[1] (numeric) = 0.83066693701616775954051305891478 absolute error = 3e-32 relative error = 3.6115558069233821378718473653280e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.882 y[1] (analytic) = 0.83127191287326341781479178649065 y[1] (numeric) = 0.83127191287326341781479178649069 absolute error = 4e-32 relative error = 4.8119032269166108211638634478146e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.883 y[1] (analytic) = 0.831876844669137595045019227437 y[1] (numeric) = 0.83187684466913759504501922743702 absolute error = 2e-32 relative error = 2.4042020316065655922602329285654e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.884 y[1] (analytic) = 0.83248173244076215900615362958548 y[1] (numeric) = 0.83248173244076215900615362958551 absolute error = 3e-32 relative error = 3.6036826792634448366667147425904e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.885 y[1] (analytic) = 0.83308657622506246222474417587635 y[1] (numeric) = 0.83308657622506246222474417587638 absolute error = 3e-32 relative error = 3.6010663064501655713100346210525e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.886 y[1] (analytic) = 0.83369137605891741997558043775938 y[1] (numeric) = 0.8336913760589174199755804377594 absolute error = 2e-32 relative error = 2.3989692798005612564156770117069e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.887 y[1] (analytic) = 0.83429613197915958811492960083895 y[1] (numeric) = 0.83429613197915958811492960083897 absolute error = 2e-32 relative error = 2.3972303398500704875206861933659e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.888 y[1] (analytic) = 0.83490084402257524075077213227812 y[1] (numeric) = 0.83490084402257524075077213227816 absolute error = 4e-32 relative error = 4.7909880899483703126252123043416e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.452 Order of pole = 7.670e-27 TOP MAIN SOLVE Loop x[1] = 0.889 y[1] (analytic) = 0.83550551222590444775044535592338 y[1] (numeric) = 0.8355055122259044477504453559234 absolute error = 2e-32 relative error = 2.3937603890508371430882665596909e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.89 y[1] (analytic) = 0.83611013662584115208610320158785 y[1] (numeric) = 0.83611013662584115208610320158787 absolute error = 2e-32 relative error = 2.3920293659769358253219447766002e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.891 y[1] (analytic) = 0.83671471725903324701839919942188 y[1] (numeric) = 0.83671471725903324701839919942192 absolute error = 4e-32 relative error = 4.7806019393365889092532683400780e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.892 y[1] (analytic) = 0.83731925416208265311879859878878 y[1] (numeric) = 0.83731925416208265311879859878882 absolute error = 4e-32 relative error = 4.7771503881191137529319916852219e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.893 y[1] (analytic) = 0.8379237473715453951309243035378 y[1] (numeric) = 0.83792374737154539513092430353785 absolute error = 5e-32 relative error = 5.9671300827603114768905040135959e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.345 Order of pole = 3.172e-27 TOP MAIN SOLVE Loop x[1] = 0.894 y[1] (analytic) = 0.83852819692393167867134013200982 y[1] (numeric) = 0.83852819692393167867134013200988 absolute error = 6e-32 relative error = 7.1553944423222524545252424922154e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.895 y[1] (analytic) = 0.83913260285570596677017373050772 y[1] (numeric) = 0.83913260285570596677017373050777 absolute error = 5e-32 relative error = 5.9585338276503372591852704812501e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.896 y[1] (analytic) = 0.83973696520328705625198029330072 y[1] (numeric) = 0.83973696520328705625198029330077 absolute error = 5e-32 relative error = 5.9542454449287926384170346738328e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.897 y[1] (analytic) = 0.84034128400304815395724707049322 y[1] (numeric) = 0.84034128400304815395724707049327 absolute error = 5e-32 relative error = 5.9499635388398502091129079015587e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.898 y[1] (analytic) = 0.8409455592913169528049374772594 y[1] (numeric) = 0.84094555929131695280493747725944 absolute error = 4e-32 relative error = 4.7565504755990229441066785174129e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.899 y[1] (analytic) = 0.84154979110437570769647245401162 y[1] (numeric) = 0.84154979110437570769647245401168 absolute error = 6e-32 relative error = 7.1297029164799973343785152698725e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.9 y[1] (analytic) = 0.84215397947846131126154556701772 y[1] (numeric) = 0.84215397947846131126154556701776 absolute error = 4e-32 relative error = 4.7497252254001880581543698255129e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.901 y[1] (analytic) = 0.84275812444976536944616718279445 y[1] (numeric) = 0.84275812444976536944616718279449 absolute error = 4e-32 relative error = 4.7463203070413468877977887742319e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.902 y[1] (analytic) = 0.84336222605443427694333189727025 y[1] (numeric) = 0.84336222605443427694333189727029 absolute error = 4e-32 relative error = 4.7429205108147949602311193176234e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.2921 Order of pole = 4.456e-27 TOP MAIN SOLVE Loop x[1] = 0.903 y[1] (analytic) = 0.84396628432856929246670225221062 y[1] (numeric) = 0.84396628432856929246670225221067 absolute error = 5e-32 relative error = 5.9244072812432655085985889347477e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.904 y[1] (analytic) = 0.84457029930822661386770062672515 y[1] (numeric) = 0.84457029930822661386770062672519 absolute error = 4e-32 relative error = 4.7361362378908339571846553933316e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.304 Order of pole = 4.098e-27 TOP MAIN SOLVE Loop x[1] = 0.905 y[1] (analytic) = 0.845174271029417453096400050807 y[1] (numeric) = 0.84517427102941745309640005080705 absolute error = 5e-32 relative error = 5.9159396723116386989123573098450e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.906 y[1] (analytic) = 0.84577819952810811100660355078378 y[1] (numeric) = 0.84577819952810811100660355078382 absolute error = 4e-32 relative error = 4.7293723132515740351942794853843e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.907 y[1] (analytic) = 0.8463820848402200520055005032646 y[1] (numeric) = 0.84638208484022005200550050326463 absolute error = 3e-32 relative error = 3.5444984643860222777590831995132e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.908 y[1] (analytic) = 0.84698592700162997854828734464215 y[1] (numeric) = 0.8469859270016299785482873446422 absolute error = 5e-32 relative error = 5.9032858051139470358322200081712e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=99.1MB, alloc=4.3MB, time=11.50 x[1] = 0.909 y[1] (analytic) = 0.84758972604816990547813885743282 y[1] (numeric) = 0.84758972604816990547813885743286 absolute error = 4e-32 relative error = 4.7192643764687084952456754996381e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.91 y[1] (analytic) = 0.84819348201562723421191513270008 y[1] (numeric) = 0.84819348201562723421191513270011 absolute error = 3e-32 relative error = 3.5369288536276768799945574176821e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.911 y[1] (analytic) = 0.84879719493974482677198818949365 y[1] (numeric) = 0.8487971949397448267719881894937 absolute error = 5e-32 relative error = 5.8906886471920356250338912281444e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.912 y[1] (analytic) = 0.84940086485622107966457111763255 y[1] (numeric) = 0.84940086485622107966457111763259 absolute error = 4e-32 relative error = 4.7092017038116436773534487461431e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.913 y[1] (analytic) = 0.8500044918007099976049314992523 y[1] (numeric) = 0.85000449180070999760493149925234 absolute error = 4e-32 relative error = 4.7058574849717739485203518918160e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.042 Order of pole = 7.77e-28 TOP MAIN SOLVE Loop x[1] = 0.914 y[1] (analytic) = 0.85060807580882126708986975731235 y[1] (numeric) = 0.85060807580882126708986975731239 absolute error = 4e-32 relative error = 4.7025182498961148829980100624849e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.915 y[1] (analytic) = 0.8512116169161203298178419757018 y[1] (numeric) = 0.85121161691612032981784197570183 absolute error = 3e-32 relative error = 3.5243879904609249502686487488645e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.845 Order of pole = 1.838e-27 TOP MAIN SOLVE Loop x[1] = 0.916 y[1] (analytic) = 0.85181511515812845595710563568058 y[1] (numeric) = 0.8518151151581284559571056356806 absolute error = 2e-32 relative error = 2.3479273429290179648469430158745e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.917 y[1] (analytic) = 0.85241857057032281726226561713242 y[1] (numeric) = 0.85241857057032281726226561713247 absolute error = 5e-32 relative error = 5.8656629179895489600858868612484e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.918 y[1] (analytic) = 0.85302198318813656003959672047338 y[1] (numeric) = 0.8530219831881365600395967204734 absolute error = 2e-32 relative error = 2.3446054608406193840697215346659e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.919 y[1] (analytic) = 0.85362535304695887796151787604055 y[1] (numeric) = 0.85362535304695887796151787604058 absolute error = 3e-32 relative error = 3.5144223274199854638355045243034e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.92 y[1] (analytic) = 0.85422868018213508473059212236948 y[1] (numeric) = 0.8542286801821350847305921223695 absolute error = 2e-32 relative error = 2.3412934339474159566134075528369e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.921 y[1] (analytic) = 0.85483196462896668659342535293635 y[1] (numeric) = 0.85483196462896668659342535293637 absolute error = 2e-32 relative error = 2.3396411022932264709662167001469e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.922 y[1] (analytic) = 0.85543520642271145470483575268685 y[1] (numeric) = 0.85543520642271145470483575268688 absolute error = 3e-32 relative error = 3.5069868266768020965281072358188e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.923 y[1] (analytic) = 0.856038405598583497342664770977 y[1] (numeric) = 0.85603840559858349734266477097702 absolute error = 2e-32 relative error = 2.3363437749051728260048076953618e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.924 y[1] (analytic) = 0.85664156219175333197359940640378 y[1] (numeric) = 0.8566415621917533319735994064038 absolute error = 2e-32 relative error = 2.3346987681556288206939696820645e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.051 Order of pole = 5.192e-27 TOP MAIN SOLVE Loop x[1] = 0.925 y[1] (analytic) = 0.85724467623734795717037451139035 y[1] (numeric) = 0.85724467623734795717037451139037 absolute error = 2e-32 relative error = 2.3330561920529838074521110805708e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.926 y[1] (analytic) = 0.857847747770450924380722760298 y[1] (numeric) = 0.85784774777045092438072276029803 absolute error = 3e-32 relative error = 3.4971240616962738657073585191046e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.927 y[1] (analytic) = 0.85845077682610240954843886425355 y[1] (numeric) = 0.85845077682610240954843886425357 absolute error = 2e-32 relative error = 2.3297783099393045739939442694070e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.928 y[1] (analytic) = 0.85905376343929928458692355879202 y[1] (numeric) = 0.85905376343929928458692355879205 absolute error = 3e-32 relative error = 3.4922144895672526995368245223140e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.84 Order of pole = 3.907e-27 TOP MAIN SOLVE Loop x[1] = 0.929 y[1] (analytic) = 0.85965670764499518870557183680852 y[1] (numeric) = 0.85965670764499518870557183680855 absolute error = 3e-32 relative error = 3.4897651275454054975700052456940e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.93 y[1] (analytic) = 0.86025960947810059958936884917552 y[1] (numeric) = 0.86025960947810059958936884917554 absolute error = 2e-32 relative error = 2.3248795804947221212525776444570e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.931 y[1] (analytic) = 0.86086246897348290443205584870218 y[1] (numeric) = 0.86086246897348290443205584870219 absolute error = 1e-32 relative error = 1.1616257370267618679086847324681e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.932 y[1] (analytic) = 0.86146528616596647082322750987505 y[1] (numeric) = 0.86146528616596647082322750987507 absolute error = 2e-32 relative error = 2.3216257603381687117504836278468e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.933 y[1] (analytic) = 0.86206806109033271748972091701412 y[1] (numeric) = 0.86206806109033271748972091701415 absolute error = 3e-32 relative error = 3.4800036509943752728028834265241e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.934 y[1] (analytic) = 0.8626707937813201848916554770905 y[1] (numeric) = 0.86267079378132018489165547709051 absolute error = 1e-32 relative error = 1.1591907448457002217211515986976e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.935 y[1] (analytic) = 0.86327348427362460567348198047045 y[1] (numeric) = 0.86327348427362460567348198047047 absolute error = 2e-32 relative error = 2.3167629221032307984112247127728e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.585 Order of pole = 3.74e-28 TOP MAIN SOLVE Loop x[1] = 0.936 y[1] (analytic) = 0.86387613260189897497039800326228 y[1] (numeric) = 0.86387613260189897497039800326228 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.937 y[1] (analytic) = 0.86447873880075362057048581873328 y[1] (numeric) = 0.86447873880075362057048581873329 absolute error = 1e-32 relative error = 1.1567664479374564775699796770000e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.938 y[1] (analytic) = 0.86508130290475627293292796242562 y[1] (numeric) = 0.86508130290475627293292796242564 absolute error = 2e-32 relative error = 2.3119214266733447288047466266024e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.939 y[1] (analytic) = 0.865683824948432135062654576114 y[1] (numeric) = 0.86568382494843213506265457611401 absolute error = 1e-32 relative error = 1.1551561565327490514930481135341e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.641 Order of pole = 3.025e-27 TOP MAIN SOLVE Loop x[1] = 0.94 y[1] (analytic) = 0.86628630496626395224177563960785 y[1] (numeric) = 0.86628630496626395224177563960786 absolute error = 1e-32 relative error = 1.1543527749049932173913723201890e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.568 Order of pole = 8.743e-27 memory used=102.9MB, alloc=4.3MB, time=11.95 TOP MAIN SOLVE Loop x[1] = 0.941 y[1] (analytic) = 0.8668887429926920816181501865905 y[1] (numeric) = 0.8668887429926920816181501865905 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.115 Order of pole = 4.008e-27 TOP MAIN SOLVE Loop x[1] = 0.942 y[1] (analytic) = 0.8674911390621145616514435911956 y[1] (numeric) = 0.86749113906211456165144359119559 absolute error = 1e-32 relative error = 1.1527495267342407614528885464377e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.943 y[1] (analytic) = 0.86809349320888718141702300583672 y[1] (numeric) = 0.86809349320888718141702300583673 absolute error = 1e-32 relative error = 1.1519496549888002483104402463967e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.944 y[1] (analytic) = 0.86869580546732354976804002791472 y[1] (numeric) = 0.86869580546732354976804002791474 absolute error = 2e-32 relative error = 2.3023018960291630570380876884641e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.945 y[1] (analytic) = 0.86929807587169516435604867341862 y[1] (numeric) = 0.86929807587169516435604867341864 absolute error = 2e-32 relative error = 2.3007068064593206446573146097923e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.946 y[1] (analytic) = 0.86990030445623148051050573909745 y[1] (numeric) = 0.86990030445623148051050573909745 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.947 y[1] (analytic) = 0.8705024912551199799774996417992 y[1] (numeric) = 0.8705024912551199799774996417992 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.948 y[1] (analytic) = 0.871104636302506239518052833739 y[1] (numeric) = 0.871104636302506239518052833739 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.949 y[1] (analytic) = 0.87170673963249399936634190585722 y[1] (numeric) = 0.87170673963249399936634190585722 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.95 y[1] (analytic) = 0.8723088012791452315481785080505 y[1] (numeric) = 0.87230880127914523154817850805051 absolute error = 1e-32 relative error = 1.1463830223122931047828947128783e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.951 y[1] (analytic) = 0.87291082127648020806009323489032 y[1] (numeric) = 0.87291082127648020806009323489034 absolute error = 2e-32 relative error = 2.2911847937402677146129329267425e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.952 y[1] (analytic) = 0.87351279965847756890936364847438 y[1] (numeric) = 0.87351279965847756890936364847438 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.1766 Order of pole = 4.546e-27 TOP MAIN SOLVE Loop x[1] = 0.953 y[1] (analytic) = 0.87411473645907439001532663627335 y[1] (numeric) = 0.87411473645907439001532663627335 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.954 y[1] (analytic) = 0.87471663171216625097231433122855 y[1] (numeric) = 0.87471663171216625097231433122855 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.955 y[1] (analytic) = 0.8753184854516073026745518539116 y[1] (numeric) = 0.8753184854516073026745518539116 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.956 y[1] (analytic) = 0.87592029771121033480335417226552 y[1] (numeric) = 0.87592029771121033480335417226554 absolute error = 2e-32 relative error = 2.2833127685544251766729339001892e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.957 y[1] (analytic) = 0.8765220685247468431769584132953 y[1] (numeric) = 0.8765220685247468431769584132953 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.958 y[1] (analytic) = 0.87712379792594709696332700305248 y[1] (numeric) = 0.87712379792594709696332700305249 absolute error = 1e-32 relative error = 1.1400899193074076964533116036347e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.959 y[1] (analytic) = 0.87772548594850020575625605635428 y[1] (numeric) = 0.87772548594850020575625605635428 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.96 y[1] (analytic) = 0.8783271326260541865151224858769 y[1] (numeric) = 0.8783271326260541865151224858769 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.961 y[1] (analytic) = 0.87892873799221603036860235155965 y[1] (numeric) = 0.87892873799221603036860235155965 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.962 y[1] (analytic) = 0.87953030208055176928269202563385 y[1] (numeric) = 0.87953030208055176928269202563387 absolute error = 2e-32 relative error = 2.2739409833509409099888603714425e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.963 y[1] (analytic) = 0.88013182492458654259336280604235 y[1] (numeric) = 0.88013182492458654259336280604235 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.964 y[1] (analytic) = 0.88073330655780466340417867152608 y[1] (numeric) = 0.88073330655780466340417867152608 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.965 y[1] (analytic) = 0.88133474701364968484920593521658 y[1] (numeric) = 0.88133474701364968484920593521659 absolute error = 1e-32 relative error = 1.1346426580688443971004526208161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.966 y[1] (analytic) = 0.88193614632552446622154262017205 y[1] (numeric) = 0.88193614632552446622154262017206 absolute error = 1e-32 relative error = 1.1338689361654737301010290843914e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.405 Order of pole = 9.769e-27 TOP MAIN SOLVE Loop x[1] = 0.967 y[1] (analytic) = 0.88253750452679123896779444992245 y[1] (numeric) = 0.88253750452679123896779444992247 absolute error = 2e-32 relative error = 2.2661926430790974859382989360561e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.968 y[1] (analytic) = 0.8831388216507716725488234197329 y[1] (numeric) = 0.88313882165077167254882341973292 absolute error = 2e-32 relative error = 2.2646496235570083457363294197548e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.969 y[1] (analytic) = 0.88374009773074694016709398994325 y[1] (numeric) = 0.88374009773074694016709398994326 absolute error = 1e-32 relative error = 1.1315544044768176692745075783948e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.97 y[1] (analytic) = 0.88434133279995778436094102138565 y[1] (numeric) = 0.88434133279995778436094102138567 absolute error = 2e-32 relative error = 2.2615701944719681133861804866640e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.971 y[1] (analytic) = 0.88494252689160458246608265450905 y[1] (numeric) = 0.88494252689160458246608265450907 absolute error = 2e-32 relative error = 2.2600337753289794205104805303522e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.972 y[1] (analytic) = 0.8855436800388474119447004184389 y[1] (numeric) = 0.88554368003884741194470041843891 absolute error = 1e-32 relative error = 1.1292497733777870436217595895596e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=106.8MB, alloc=4.4MB, time=12.40 TOP MAIN SOLVE Loop x[1] = 0.973 y[1] (analytic) = 0.88614479227480611558240794376245 y[1] (numeric) = 0.88614479227480611558240794376247 absolute error = 2e-32 relative error = 2.2569675039965382172341295619007e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.974 y[1] (analytic) = 0.88674586363256036655342874334275 y[1] (numeric) = 0.88674586363256036655342874334277 absolute error = 2e-32 relative error = 2.2554376423104886120474364342793e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.975 y[1] (analytic) = 0.8873468941451497333543026189169 y[1] (numeric) = 0.88734689414514973335430261891692 absolute error = 2e-32 relative error = 2.2539099569698224139399789086340e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.386 Order of pole = 5.984e-27 TOP MAIN SOLVE Loop x[1] = 0.976 y[1] (analytic) = 0.8879478838455737446064393476178 y[1] (numeric) = 0.8879478838455737446064393476178 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.977 y[1] (analytic) = 0.88854883276679195372783740185948 y[1] (numeric) = 0.8885488327667919537278374018595 absolute error = 2e-32 relative error = 2.2508610964828299073808793571651e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.978 y[1] (analytic) = 0.88914974094172400347428455823718 y[1] (numeric) = 0.88914974094172400347428455823718 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.979 y[1] (analytic) = 0.88975060840324969035035635620008 y[1] (numeric) = 0.88975060840324969035035635620008 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.36 Order of pole = 2.783e-27 TOP MAIN SOLVE Loop x[1] = 0.98 y[1] (analytic) = 0.89035143518420902889052747525158 y[1] (numeric) = 0.8903514351842090288905274752516 absolute error = 2e-32 relative error = 2.2463040109394674245141682726475e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.981 y[1] (analytic) = 0.89095222131740231581071021030275 y[1] (numeric) = 0.89095222131740231581071021030275 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.982 y[1] (analytic) = 0.89155296683559019403053333854372 y[1] (numeric) = 0.89155296683559019403053333854374 absolute error = 2e-32 relative error = 2.2432767030080633307761518353272e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.983 y[1] (analytic) = 0.8921536717714937165666737877932 y[1] (numeric) = 0.8921536717714937165666737877932 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.984 y[1] (analytic) = 0.8927543361577944102975526357248 y[1] (numeric) = 0.89275433615779441029755263572481 absolute error = 1e-32 relative error = 1.1201289755743621600758506792518e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.985 y[1] (analytic) = 0.89335496002713433959970609164688 y[1] (numeric) = 0.89335496002713433959970609164688 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.986 y[1] (analytic) = 0.8939555434121161698561412376111 y[1] (numeric) = 0.89395554341211616985614123761111 absolute error = 1e-32 relative error = 1.1186238592840147752204012370983e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.987 y[1] (analytic) = 0.89455608634530323083698543354255 y[1] (numeric) = 0.89455608634530323083698543354256 absolute error = 1e-32 relative error = 1.1178728927836000195260377384741e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.988 y[1] (analytic) = 0.89515658885921957995273742180308 y[1] (numeric) = 0.89515658885921957995273742180309 absolute error = 1e-32 relative error = 1.1171229843422054540450321367738e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.989 y[1] (analytic) = 0.89575705098635006538042730011562 y[1] (numeric) = 0.89575705098635006538042730011563 absolute error = 1e-32 relative error = 1.1163741316899088901601618536061e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.99 y[1] (analytic) = 0.89635747275914038906299166807582 y[1] (numeric) = 0.89635747275914038906299166807585 absolute error = 3e-32 relative error = 3.3468789976899405771304854119383e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.991 y[1] (analytic) = 0.89695785420999716958216939155158 y[1] (numeric) = 0.89695785420999716958216939155159 absolute error = 1e-32 relative error = 1.1148795847055244613387324160465e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.992 y[1] (analytic) = 0.89755819537128800490522257110862 y[1] (numeric) = 0.89755819537128800490522257110863 absolute error = 1e-32 relative error = 1.1141338858661253182802964421030e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.167 Order of pole = 2.615e-27 TOP MAIN SOLVE Loop x[1] = 0.993 y[1] (analytic) = 0.89815849627534153500578644519368 y[1] (numeric) = 0.8981584962753415350057864451937 absolute error = 2e-32 relative error = 2.2267784676023099141429789326771e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.994 y[1] (analytic) = 0.89875875695444750435915110614275 y[1] (numeric) = 0.89875875695444750435915110614277 absolute error = 2e-32 relative error = 2.2252912525461685933606191497978e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.995 y[1] (analytic) = 0.89935897744085682431227705715392 y[1] (numeric) = 0.89935897744085682431227705715393 absolute error = 1e-32 relative error = 1.1119030610507932335477731898284e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.996 y[1] (analytic) = 0.8999591577667816353288457911605 y[1] (numeric) = 0.89995915776678163532884579116051 absolute error = 1e-32 relative error = 1.1111615359095476600398267170928e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.997 y[1] (analytic) = 0.90055929796439536910964572805092 y[1] (numeric) = 0.90055929796439536910964572805094 absolute error = 2e-32 relative error = 2.2208420972619531636202951114159e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.998 y[1] (analytic) = 0.90115939806583281058859300489802 y[1] (numeric) = 0.90115939806583281058859300489804 absolute error = 2e-32 relative error = 2.2193631940060986671546665890554e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 0.999 y[1] (analytic) = 0.90175945810319015980468577477178 y[1] (numeric) = 0.90175945810319015980468577477178 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1 y[1] (analytic) = 0.90235947810852509365018983330655 y[1] (numeric) = 0.90235947810852509365018983330655 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.001 y[1] (analytic) = 0.90295945811385682749535255846702 y[1] (numeric) = 0.90295945811385682749535255846703 absolute error = 1e-32 relative error = 1.1074694339974531211975812140887e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.002 y[1] (analytic) = 0.90355939815116617668994131789598 y[1] (numeric) = 0.90355939815116617668994131789597 absolute error = 1e-32 relative error = 1.1067341029778091434786590458921e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.003 y[1] (analytic) = 0.9041592982523956179419016698233 y[1] (numeric) = 0.9041592982523956179419016698233 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.004 y[1] (analytic) = 0.9047591584494493505734298577592 y[1] (numeric) = 0.90475915844944935057342985775921 absolute error = 1e-32 relative error = 1.1052665128184739342568526982789e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=110.6MB, alloc=4.4MB, time=12.85 TOP MAIN SOLVE Loop x[1] = 1.005 y[1] (analytic) = 0.90535897877419335765475327607465 y[1] (numeric) = 0.90535897877419335765475327607465 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.048 Order of pole = 3.854e-27 TOP MAIN SOLVE Loop x[1] = 1.006 y[1] (analytic) = 0.90595875925845546701591176308195 y[1] (numeric) = 0.90595875925845546701591176308197 absolute error = 2e-32 relative error = 2.2076060080671201482338996746368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.007 y[1] (analytic) = 0.90655849993402541213683176035612 y[1] (numeric) = 0.90655849993402541213683176035613 absolute error = 1e-32 relative error = 1.1030727747550486501395615903908e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.008 y[1] (analytic) = 0.90715820083265489291598456177422 y[1] (numeric) = 0.90715820083265489291598456177425 absolute error = 3e-32 relative error = 3.3070306780519480779612413318275e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.009 y[1] (analytic) = 0.90775786198605763631791906308838 y[1] (numeric) = 0.90775786198605763631791906308838 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.01 y[1] (analytic) = 0.90835748342590945689995861277442 y[1] (numeric) = 0.90835748342590945689995861277444 absolute error = 2e-32 relative error = 2.2017763231904180195703648003241e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.011 y[1] (analytic) = 0.90895706518384831721835075740938 y[1] (numeric) = 0.9089570651838483172183507574094 absolute error = 2e-32 relative error = 2.2003239499496867263653596879881e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.012 y[1] (analytic) = 0.90955660729147438811415786991032 y[1] (numeric) = 0.90955660729147438811415786991033 absolute error = 1e-32 relative error = 1.0994367936898976682262123932903e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.013 y[1] (analytic) = 0.91015610978035010887917584661322 y[1] (numeric) = 0.91015610978035010887917584661325 absolute error = 3e-32 relative error = 3.2961378468623325719172935137695e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.014 y[1] (analytic) = 0.91075557268200024730216725936782 y[1] (numeric) = 0.91075557268200024730216725936783 absolute error = 1e-32 relative error = 1.0979894386538773010140726031241e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.015 y[1] (analytic) = 0.91135499602791195959569455156672 y[1] (numeric) = 0.91135499602791195959569455156673 absolute error = 1e-32 relative error = 1.0972672606815589570259818771377e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.016 y[1] (analytic) = 0.9119543798495348502038380723065 y[1] (numeric) = 0.91195437984953485020383807230651 absolute error = 1e-32 relative error = 1.0965460796021309422580203337421e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.017 y[1] (analytic) = 0.9125537241782810314910829506818 y[1] (numeric) = 0.91255372417828103149108295068182 absolute error = 2e-32 relative error = 2.1916517866396543890588600170842e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.018 y[1] (analytic) = 0.91315302904552518331265802253648 y[1] (numeric) = 0.91315302904552518331265802253648 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.019 y[1] (analytic) = 0.9137522944826046124666092348257 y[1] (numeric) = 0.91375229448260461246660923482572 absolute error = 2e-32 relative error = 2.1887769935860605644997365057010e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.352 Order of pole = 7.216e-27 TOP MAIN SOLVE Loop x[1] = 1.02 y[1] (analytic) = 0.9143515205208193120278891680735 y[1] (numeric) = 0.91435152052081931202788916807352 absolute error = 2e-32 relative error = 2.1873425647728892606266627244246e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.021 y[1] (analytic) = 0.91495070719143202056474353522968 y[1] (numeric) = 0.91495070719143202056474353522969 absolute error = 1e-32 relative error = 1.0929550544527568800924042070566e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.022 y[1] (analytic) = 0.91554985452566828123767473553312 y[1] (numeric) = 0.91554985452566828123767473553314 absolute error = 2e-32 relative error = 2.1844796218510328677119115109972e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.09 Order of pole = 1.743e-27 TOP MAIN SOLVE Loop x[1] = 1.023 y[1] (analytic) = 0.91614896255471650078126176476285 y[1] (numeric) = 0.91614896255471650078126176476286 absolute error = 1e-32 relative error = 1.0915255497440740063105853240072e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.447 Order of pole = 5.47e-28 TOP MAIN SOLVE Loop x[1] = 1.024 y[1] (analytic) = 0.91674803130972800836911500849675 y[1] (numeric) = 0.91674803130972800836911500849676 absolute error = 1e-32 relative error = 1.0908122688535612338428800568098e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.025 y[1] (analytic) = 0.9173470608218171143622436726926 y[1] (numeric) = 0.91734706082181711436224367269261 absolute error = 1e-32 relative error = 1.0900999662048703697890895127474e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.026 y[1] (analytic) = 0.91794605112206116894111283604572 y[1] (numeric) = 0.91794605112206116894111283604572 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.027 y[1] (analytic) = 0.918545002241500620621666341156 y[1] (numeric) = 0.91854500224150062062166634115599 absolute error = 1e-32 relative error = 1.0886782874652052354423676452043e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.028 y[1] (analytic) = 0.91914391421113907465559097654435 y[1] (numeric) = 0.91914391421113907465559097654434 absolute error = 1e-32 relative error = 1.0879689073046370099314442149776e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.029 y[1] (analytic) = 0.91974278706194335131509663898582 y[1] (numeric) = 0.91974278706194335131509663898582 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.03 y[1] (analytic) = 0.9203416208248435440624864054662 y[1] (numeric) = 0.92034162082484354406248640546619 absolute error = 1e-32 relative error = 1.0865530552706762594074716735526e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6713 Order of pole = 1.943e-27 TOP MAIN SOLVE Loop x[1] = 1.031 y[1] (analytic) = 0.92094041553073307760478968631112 y[1] (numeric) = 0.92094041553073307760478968631113 absolute error = 1e-32 relative error = 1.0858465793617118031775434533386e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.032 y[1] (analytic) = 0.92153917121046876583373087567455 y[1] (numeric) = 0.92153917121046876583373087567456 absolute error = 1e-32 relative error = 1.0851410675104245772376220588862e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.033 y[1] (analytic) = 0.92213788789487086965130516259558 y[1] (numeric) = 0.92213788789487086965130516259558 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.034 y[1] (analytic) = 0.92273656561472315468123241523485 y[1] (numeric) = 0.92273656561472315468123241523486 absolute error = 1e-32 relative error = 1.0837329279714891060867815448910e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.035 y[1] (analytic) = 0.9233352044007729488665593026711 y[1] (numeric) = 0.92333520440077294886655930267111 absolute error = 1e-32 relative error = 1.0830302962930792298078555518229e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.036 y[1] (analytic) = 0.92393380428373119995367907276955 y[1] (numeric) = 0.92393380428373119995367907276956 absolute error = 1e-32 relative error = 1.0823286206907844684803775824346e-30 % Correct digits = 31 h = 0.001 memory used=114.4MB, alloc=4.4MB, time=13.30 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.037 y[1] (analytic) = 0.92453236529427253286303766111765 y[1] (numeric) = 0.92453236529427253286303766111766 absolute error = 1e-32 relative error = 1.0816278991830714530930144556387e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.038 y[1] (analytic) = 0.92513088746303530694679406485075 y[1] (numeric) = 0.92513088746303530694679406485076 absolute error = 1e-32 relative error = 1.0809281297939111091784921832424e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.039 y[1] (analytic) = 0.9257293708206216731337021763538 y[1] (numeric) = 0.9257293708206216731337021763538 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.04 y[1] (analytic) = 0.92632781539759763096148053531598 y[1] (numeric) = 0.92632781539759763096148053531599 absolute error = 1e-32 relative error = 1.0795314394945388281453412879012e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.041 y[1] (analytic) = 0.92692622122449308549693572342525 y[1] (numeric) = 0.92692622122449308549693572342527 absolute error = 2e-32 relative error = 2.1576690293192366408706290083997e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.042 y[1] (analytic) = 0.92752458833180190414410439411075 y[1] (numeric) = 0.92752458833180190414410439411076 absolute error = 1e-32 relative error = 1.0781385340937954535999268341617e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.043 y[1] (analytic) = 0.92812291674998197334067820016508 y[1] (numeric) = 0.92812291674998197334067820016509 absolute error = 1e-32 relative error = 1.0774434958482770624970005040504e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.044 y[1] (analytic) = 0.92872120650945525514297515479735 y[1] (numeric) = 0.92872120650945525514297515479735 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.045 y[1] (analytic) = 0.92931945764060784369972023667275 y[1] (numeric) = 0.92931945764060784369972023667276 absolute error = 1e-32 relative error = 1.0760562385499154929701497278613e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.046 y[1] (analytic) = 0.9299176701737900216148973267787 y[1] (numeric) = 0.92991767017379002161489732677871 absolute error = 1e-32 relative error = 1.0753640156263644979242208906832e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.047 y[1] (analytic) = 0.93051584413931631619993384451132 y[1] (numeric) = 0.93051584413931631619993384451132 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.048 y[1] (analytic) = 0.93111397956746555561547873219328 y[1] (numeric) = 0.93111397956746555561547873219328 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.049 y[1] (analytic) = 0.93171207648848092490303372130488 y[1] (numeric) = 0.93171207648848092490303372130488 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.05 y[1] (analytic) = 0.93231013493257002190669710002782 y[1] (numeric) = 0.93231013493257002190669710002782 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.051 y[1] (analytic) = 0.93290815492990491308527849025752 y[1] (numeric) = 0.93290815492990491308527849025752 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.052 y[1] (analytic) = 0.93350613651062218921504243302668 y[1] (numeric) = 0.93350613651062218921504243302667 absolute error = 1e-32 relative error = 1.0712302371550839716714212721326e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.053 y[1] (analytic) = 0.93410407970482302098333787429232 y[1] (numeric) = 0.93410407970482302098333787429232 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.054 y[1] (analytic) = 0.9347019845425732144733699382635 y[1] (numeric) = 0.93470198454257321447336993826351 absolute error = 1e-32 relative error = 1.0698597162916932191897951729506e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.055 y[1] (analytic) = 0.93529985105390326654036967287825 y[1] (numeric) = 0.93529985105390326654036967287825 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.056 y[1] (analytic) = 0.93589767926880842007941675166988 y[1] (numeric) = 0.93589767926880842007941675166988 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.057 y[1] (analytic) = 0.93649546921724871918516941808568 y[1] (numeric) = 0.93649546921724871918516941808569 absolute error = 1e-32 relative error = 1.0678108254339236593171616900779e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.058 y[1] (analytic) = 0.93709322092914906420375526232745 y[1] (numeric) = 0.93709322092914906420375526232745 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.059 y[1] (analytic) = 0.93769093443439926667707572696665 y[1] (numeric) = 0.93769093443439926667707572696665 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.06 y[1] (analytic) = 0.93828860976285410417977654593872 y[1] (numeric) = 0.93828860976285410417977654593872 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.061 y[1] (analytic) = 0.9388862469443333750491356320333 y[1] (numeric) = 0.93888624694433337504913563203331 absolute error = 1e-32 relative error = 1.0650917544639356755153343158343e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.062 y[1] (analytic) = 0.93948384600862195300811924066365 y[1] (numeric) = 0.93948384600862195300811924066365 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.063 y[1] (analytic) = 0.94008140698546984168185655250978 y[1] (numeric) = 0.94008140698546984168185655250978 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.064 y[1] (analytic) = 0.94067892990459222900778213458075 y[1] (numeric) = 0.94067892990459222900778213458076 absolute error = 1e-32 relative error = 1.0630619738675600753099585898513e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.065 y[1] (analytic) = 0.94127641479566954153969505832168 y[1] (numeric) = 0.94127641479566954153969505832168 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.066 y[1] (analytic) = 0.94187386168834749864598277459558 y[1] (numeric) = 0.94187386168834749864598277459559 absolute error = 1e-32 relative error = 1.0617132937604394458939274000195e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.067 y[1] (analytic) = 0.94247127061223716660225716869068 y[1] (numeric) = 0.94247127061223716660225716869068 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.068 y[1] (analytic) = 0.94306864159691501257864954393135 y[1] (numeric) = 0.94306864159691501257864954393136 absolute error = 1e-32 relative error = 1.0603682021561888635335702166271e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=118.2MB, alloc=4.4MB, time=13.74 x[1] = 1.069 y[1] (analytic) = 0.94366597467192295852201061000168 y[1] (numeric) = 0.94366597467192295852201061000168 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.07 y[1] (analytic) = 0.94426326986676843493326088171268 y[1] (numeric) = 0.94426326986676843493326088171268 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.627 Order of pole = 3.263e-27 TOP MAIN SOLVE Loop x[1] = 1.071 y[1] (analytic) = 0.9448605272109244345401362256551 y[1] (numeric) = 0.94486052721092443454013622565509 absolute error = 1e-32 relative error = 1.0583572614170245605933403121372e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.564 Order of pole = 3.152e-27 TOP MAIN SOLVE Loop x[1] = 1.072 y[1] (analytic) = 0.94545774673382956586557262596738 y[1] (numeric) = 0.94545774673382956586557262596737 absolute error = 1e-32 relative error = 1.0576887263916252700426055847056e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.073 y[1] (analytic) = 0.9460549284648881066919735763097 y[1] (numeric) = 0.94605492846488810669197357630971 absolute error = 1e-32 relative error = 1.0570210776478334379320405830618e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.074 y[1] (analytic) = 0.9466520724334700574216028430597 y[1] (numeric) = 0.9466520724334700574216028430597 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.075 y[1] (analytic) = 0.94724917866891119433334468472772 y[1] (numeric) = 0.94724917866891119433334468472774 absolute error = 2e-32 relative error = 2.1113768636996129231952739759847e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.076 y[1] (analytic) = 0.9478462472005131227360729546228 y[1] (numeric) = 0.94784624720051312273607295462281 absolute error = 1e-32 relative error = 1.0550234312300378367635596060451e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.077 y[1] (analytic) = 0.9484432780575433300188698578748 y[1] (numeric) = 0.94844327805754333001886985787483 absolute error = 3e-32 relative error = 3.1630779292823307487660884108054e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.651 Order of pole = 1.977e-26 TOP MAIN SOLVE Loop x[1] = 1.078 y[1] (analytic) = 0.94904027126923523859833448003112 y[1] (numeric) = 0.94904027126923523859833448003113 absolute error = 1e-32 relative error = 1.0536960656712826555585288718493e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.079 y[1] (analytic) = 0.94963722686478825876322055258475 y[1] (numeric) = 0.94963722686478825876322055258476 absolute error = 1e-32 relative error = 1.0530336971955950077542821048874e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.08 y[1] (analytic) = 0.950234144873367841416642270954 y[1] (numeric) = 0.95023414487336784141664227095402 absolute error = 2e-32 relative error = 2.1047444051450375184000163668647e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.081 y[1] (analytic) = 0.9508310253241055307160863326092 y[1] (numeric) = 0.95083102532410553071608633260923 absolute error = 3e-32 relative error = 3.1551347401368222924438062729802e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.082 y[1] (analytic) = 0.95142786824609901661146771722645 y[1] (numeric) = 0.95142786824609901661146771722646 absolute error = 1e-32 relative error = 1.0510518278631472446581665805866e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.083 y[1] (analytic) = 0.95202467366841218728146608693268 y[1] (numeric) = 0.9520246736684121872814660869327 absolute error = 2e-32 relative error = 2.1007858885562823109943255476778e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.084 y[1] (analytic) = 0.95262144162007518146837904288515 y[1] (numeric) = 0.95262144162007518146837904288517 absolute error = 2e-32 relative error = 2.0994698550965858940955676515581e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.86 Order of pole = 7.441e-26 TOP MAIN SOLVE Loop x[1] = 1.085 y[1] (analytic) = 0.95321817213008444071172783459215 y[1] (numeric) = 0.95321817213008444071172783459217 absolute error = 2e-32 relative error = 2.0981555518719827851839635933088e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.086 y[1] (analytic) = 0.9538148652274027614808504805277 y[1] (numeric) = 0.95381486522740276148085048052774 absolute error = 4e-32 relative error = 4.1936859508331779186489080207977e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.087 y[1] (analytic) = 0.95441152094095934720671662270972 y[1] (numeric) = 0.95441152094095934720671662270977 absolute error = 5e-32 relative error = 5.2388303056845684924635913191977e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.088 y[1] (analytic) = 0.95500813929964986021319780399475 y[1] (numeric) = 0.95500813929964986021319780399478 absolute error = 3e-32 relative error = 3.1413344834945951818091747483214e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6385 Order of pole = 1.594e-27 TOP MAIN SOLVE Loop x[1] = 1.089 y[1] (analytic) = 0.9556047203323364735480262248853 y[1] (numeric) = 0.95560472033233647354802622488533 absolute error = 3e-32 relative error = 3.1393733582193605416460827310099e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.09 y[1] (analytic) = 0.95620126406784792271367440664102 y[1] (numeric) = 0.95620126406784792271367440664105 absolute error = 3e-32 relative error = 3.1374148024417722616221019537706e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.091 y[1] (analytic) = 0.95679777053497955729838755942498 y[1] (numeric) = 0.95679777053497955729838755942501 absolute error = 3e-32 relative error = 3.1354588110323392929172384150728e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.807 Order of pole = 1.072e-26 TOP MAIN SOLVE Loop x[1] = 1.092 y[1] (analytic) = 0.95739423976249339250759982809652 y[1] (numeric) = 0.95739423976249339250759982809655 absolute error = 3e-32 relative error = 3.1335053788752982596760349769676e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.093 y[1] (analytic) = 0.95799067177911816059596496407345 y[1] (numeric) = 0.95799067177911816059596496407348 absolute error = 3e-32 relative error = 3.1315545008685674533852183601049e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.563 Order of pole = 6.811e-26 TOP MAIN SOLVE Loop x[1] = 1.094 y[1] (analytic) = 0.95858706661354936220023134942322 y[1] (numeric) = 0.95858706661354936220023134942326 absolute error = 4e-32 relative error = 4.1728082292316013497839894899837e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.095 y[1] (analytic) = 0.9591834242944493175731906789987 y[1] (numeric) = 0.95918342429444931757319067899873 absolute error = 3e-32 relative error = 3.1276603869658432853164130173993e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.096 y[1] (analytic) = 0.95977974485044721771892898800158 y[1] (numeric) = 0.9597797448504472177189289880016 absolute error = 2e-32 relative error = 2.0838114272891222524186295865926e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.097 y[1] (analytic) = 0.96037602831013917542960809583012 y[1] (numeric) = 0.96037602831013917542960809583016 absolute error = 4e-32 relative error = 4.1650352383725465141825439479001e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.098 y[1] (analytic) = 0.96097227470208827622400492243958 y[1] (numeric) = 0.96097227470208827622400492243962 absolute error = 4e-32 relative error = 4.1624509939582210639148748688549e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.099 y[1] (analytic) = 0.96156848405482462918803552070782 y[1] (numeric) = 0.96156848405482462918803552070786 absolute error = 4e-32 relative error = 4.1598701146406714630784783246312e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.1 y[1] (analytic) = 0.96216465639684541771749005744932 y[1] (numeric) = 0.96216465639684541771749005744936 absolute error = 4e-32 relative error = 4.1572925937431207035131246513119e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=122.0MB, alloc=4.4MB, time=14.19 TOP MAIN SOLVE Loop x[1] = 1.101 y[1] (analytic) = 0.9627607917566149501632043667491 y[1] (numeric) = 0.96276079175661495016320436674913 absolute error = 3e-32 relative error = 3.1160388184549140459004473415195e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.511 Order of pole = 1.740e-26 TOP MAIN SOLVE Loop x[1] = 1.102 y[1] (analytic) = 0.96335689016256471037889309219042 y[1] (numeric) = 0.96335689016256471037889309219046 absolute error = 4e-32 relative error = 4.1521476005896499353004343858982e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.103 y[1] (analytic) = 0.9639529516430934081718688293182 y[1] (numeric) = 0.96395295164309340817186882931823 absolute error = 3e-32 relative error = 3.1121850863015556928241312333466e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.104 y[1] (analytic) = 0.96454897622656702965687107630738 y[1] (numeric) = 0.9645489762265670296568710763074 absolute error = 2e-32 relative error = 2.0735079807188675672169387819914e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.105 y[1] (analytic) = 0.96514496394131888751322819928728 y[1] (numeric) = 0.9651449639413188875132281992873 absolute error = 2e-32 relative error = 2.0722275665540338652496420831519e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.106 y[1] (analytic) = 0.96574091481564967114557501910048 y[1] (numeric) = 0.9657409148156496711455750191005 absolute error = 2e-32 relative error = 2.0709488117543203546342339774648e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.107 y[1] (analytic) = 0.96633682887782749674834802844355 y[1] (numeric) = 0.96633682887782749674834802844356 absolute error = 1e-32 relative error = 1.0348358565214412282798256378546e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.108 y[1] (analytic) = 0.96693270615608795727427965233962 y[1] (numeric) = 0.96693270615608795727427965233966 absolute error = 4e-32 relative error = 4.1367925343031022715795263724974e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.109 y[1] (analytic) = 0.96752854667863417230711237072388 y[1] (numeric) = 0.96752854667863417230711237072391 absolute error = 3e-32 relative error = 3.1006837062312062050886877011718e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.882 Order of pole = 2.250e-26 TOP MAIN SOLVE Loop x[1] = 1.11 y[1] (analytic) = 0.9681243504736368378387529295741 y[1] (numeric) = 0.96812435047363683783875292957413 absolute error = 3e-32 relative error = 3.0987754811996060009360973465050e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.111 y[1] (analytic) = 0.96872011756923427595108627648748 y[1] (numeric) = 0.96872011756923427595108627648751 absolute error = 3e-32 relative error = 3.0968697207690542951563218588223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.112 y[1] (analytic) = 0.96931584799353248440266826787992 y[1] (numeric) = 0.96931584799353248440266826787994 absolute error = 2e-32 relative error = 2.0633109467259473670857544538939e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.113 y[1] (analytic) = 0.96991154177460518612051560806418 y[1] (numeric) = 0.96991154177460518612051560806419 absolute error = 1e-32 relative error = 1.0310218581071251751468853484060e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.114 y[1] (analytic) = 0.97050719894049387859721089533878 y[1] (numeric) = 0.97050719894049387859721089533881 absolute error = 3e-32 relative error = 3.0911671786413439777158715239820e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.115 y[1] (analytic) = 0.9711028195192078831935400668861 y[1] (numeric) = 0.97110281951920788319354006688612 absolute error = 2e-32 relative error = 2.0595141521576450254863184958897e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.116 y[1] (analytic) = 0.97169840353872439434687895272782 y[1] (numeric) = 0.97169840353872439434687895272786 absolute error = 4e-32 relative error = 4.1165036244094136667149658250166e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.117 y[1] (analytic) = 0.97229395102698852868554506921595 y[1] (numeric) = 0.97229395102698852868554506921596 absolute error = 1e-32 relative error = 1.0284955480220224247792859625794e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.118 y[1] (analytic) = 0.97288946201191337404933020453618 y[1] (numeric) = 0.9728894620119133740493302045362 absolute error = 2e-32 relative error = 2.0557320004926821745479578572469e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.61 Order of pole = 6.704e-27 TOP MAIN SOLVE Loop x[1] = 1.119 y[1] (analytic) = 0.97348493652138003841642877246915 y[1] (numeric) = 0.97348493652138003841642877246918 absolute error = 3e-32 relative error = 3.0817117835640108887078194831767e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.12 y[1] (analytic) = 0.9740803745832376987369763361793 y[1] (numeric) = 0.97408037458323769873697633617931 absolute error = 1e-32 relative error = 1.0266093292638731855798870520207e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.121 y[1] (analytic) = 0.97467577622530364967341213108245 y[1] (numeric) = 0.97467577622530364967341213108247 absolute error = 2e-32 relative error = 2.0519644057899361709135089141764e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.122 y[1] (analytic) = 0.97527114147536335224787884487095 y[1] (numeric) = 0.97527114147536335224787884487098 absolute error = 3e-32 relative error = 3.0760676415193445923836045180350e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.123 y[1] (analytic) = 0.97586647036117048239687234354412 y[1] (numeric) = 0.97586647036117048239687234354416 absolute error = 4e-32 relative error = 4.0989214421104052949437859707140e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.124 y[1] (analytic) = 0.9764617629104469794333534647979 y[1] (numeric) = 0.97646176291044697943335346479791 absolute error = 1e-32 relative error = 1.0241056413918296497248313263793e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.125 y[1] (analytic) = 0.97705701915088309441653343436235 y[1] (numeric) = 0.97705701915088309441653343436236 absolute error = 1e-32 relative error = 1.0234817215366362469944975977110e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.126 y[1] (analytic) = 0.9776522391101374384295438968354 y[1] (numeric) = 0.97765223911013743842954389683541 absolute error = 1e-32 relative error = 1.0228585994036116292125171704456e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.127 y[1] (analytic) = 0.9782474228158370307652019902374 y[1] (numeric) = 0.97824742281583703076520199023741 absolute error = 1e-32 relative error = 1.0222362734384203610377764060506e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.128 y[1] (analytic) = 0.97884257029557734702008033290125 y[1] (numeric) = 0.97884257029557734702008033290128 absolute error = 3e-32 relative error = 3.0648442262723631590405841315997e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.129 y[1] (analytic) = 0.97943768157692236709709123240802 y[1] (numeric) = 0.97943768157692236709709123240805 absolute error = 3e-32 relative error = 3.0629820114434592266643963414658e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.13 y[1] (analytic) = 0.98003275668740462311679386907362 y[1] (numeric) = 0.98003275668740462311679386907365 absolute error = 3e-32 relative error = 3.0611221712019699753693212986263e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.131 y[1] (analytic) = 0.9806277956545252472376326509832 y[1] (numeric) = 0.98062779565452524723763265098323 absolute error = 3e-32 relative error = 3.0592647009333791270481148409444e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.637 Order of pole = 2.806e-27 TOP MAIN SOLVE Loop memory used=125.8MB, alloc=4.4MB, time=14.63 x[1] = 1.132 y[1] (analytic) = 0.98122279850575401938531438374875 y[1] (numeric) = 0.98122279850575401938531438374877 absolute error = 2e-32 relative error = 2.0382730640234626970676169522567e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.305 Order of pole = 5.652e-27 TOP MAIN SOLVE Loop x[1] = 1.133 y[1] (analytic) = 0.98181776526852941489153134602795 y[1] (numeric) = 0.98181776526852941489153134602799 absolute error = 4e-32 relative error = 4.0740758025558753344781093975245e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.134 y[1] (analytic) = 0.98241269597025865204223681138212 y[1] (numeric) = 0.98241269597025865204223681138217 absolute error = 5e-32 relative error = 5.0895107733332559770221951401014e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.135 y[1] (analytic) = 0.9830075906383177395356790082617 y[1] (numeric) = 0.98300759063831773953567900826172 absolute error = 2e-32 relative error = 2.0345722851451191928479683112035e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.038 Order of pole = 3.767e-27 TOP MAIN SOLVE Loop x[1] = 1.136 y[1] (analytic) = 0.98360244930005152385039896278532 y[1] (numeric) = 0.98360244930005152385039896278535 absolute error = 3e-32 relative error = 3.0500127385152932148152447745560e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.137 y[1] (analytic) = 0.98419727198277373652339712351565 y[1] (numeric) = 0.98419727198277373652339712351569 absolute error = 4e-32 relative error = 4.0642258557997826125049743728431e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.861 Order of pole = 3.569e-27 TOP MAIN SOLVE Loop x[1] = 1.138 y[1] (analytic) = 0.98479205871376704133867312362612 y[1] (numeric) = 0.98479205871376704133867312362615 absolute error = 3e-32 relative error = 3.0463283831901406367600393749317e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.139 y[1] (analytic) = 0.98538680952028308142634249369388 y[1] (numeric) = 0.98538680952028308142634249369391 absolute error = 3e-32 relative error = 3.0444897080167870537652390045389e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.14 y[1] (analytic) = 0.9859815244295425262725335978379 y[1] (numeric) = 0.98598152442954252627253359783794 absolute error = 4e-32 relative error = 4.0568711490960973806798290716580e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.141 y[1] (analytic) = 0.98657620346873511864026752704212 y[1] (numeric) = 0.98657620346873511864026752704215 absolute error = 3e-32 relative error = 3.0408193401099713995938867622988e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.798 Order of pole = 3.962e-27 TOP MAIN SOLVE Loop x[1] = 1.142 y[1] (analytic) = 0.98717084666501972140152314625698 y[1] (numeric) = 0.98717084666501972140152314625701 absolute error = 3e-32 relative error = 3.0389876383960930784732244974127e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.143 y[1] (analytic) = 0.98776545404552436428068895625298 y[1] (numeric) = 0.98776545404552436428068895625302 absolute error = 4e-32 relative error = 4.0495443362768658524724343934215e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.144 y[1] (analytic) = 0.98836002563734629050960289720002 y[1] (numeric) = 0.98836002563734629050960289720007 absolute error = 5e-32 relative error = 5.0588852951390240849022251403394e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.145 y[1] (analytic) = 0.98895456146755200339438068856292 y[1] (numeric) = 0.98895456146755200339438068856295 absolute error = 3e-32 relative error = 3.0335064085736877463692485815991e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.146 y[1] (analytic) = 0.9895490615631773127942327691293 y[1] (numeric) = 0.98954906156317731279423276912933 absolute error = 3e-32 relative error = 3.0316839422402568316597151182441e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.147 y[1] (analytic) = 0.9901435259512273815124693718173 y[1] (numeric) = 0.99014352595122738151246937181733 absolute error = 3e-32 relative error = 3.0298637736563601890396357625118e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.751 Order of pole = 3.82e-28 TOP MAIN SOLVE Loop x[1] = 1.148 y[1] (analytic) = 0.99073795465867677159989274033905 y[1] (numeric) = 0.9907379546586767715998927403391 absolute error = 5e-32 relative error = 5.0467431640110837074435440361906e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.149 y[1] (analytic) = 0.99133234771246949057077496882022 y[1] (numeric) = 0.99133234771246949057077496882027 absolute error = 5e-32 relative error = 5.0437171868119273478413429361504e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.725 Order of pole = 1.067e-26 TOP MAIN SOLVE Loop x[1] = 1.15 y[1] (analytic) = 0.99192670513951903753161942108618 y[1] (numeric) = 0.99192670513951903753161942108621 absolute error = 3e-32 relative error = 3.0244170103052485613117491624933e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.151 y[1] (analytic) = 0.99252102696670844922290316352025 y[1] (numeric) = 0.99252102696670844922290316352029 absolute error = 4e-32 relative error = 4.0301413182394670358304108732670e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.152 y[1] (analytic) = 0.9931153132208903459739973241706 y[1] (numeric) = 0.99311531322089034597399732417063 absolute error = 3e-32 relative error = 3.0207972428401524928573339847514e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.309 Order of pole = 8.18e-28 TOP MAIN SOLVE Loop x[1] = 1.153 y[1] (analytic) = 0.99370956392888697757146177112548 y[1] (numeric) = 0.9937095639288869775714617711255 absolute error = 2e-32 relative error = 2.0126605122853847989644425025859e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.154 y[1] (analytic) = 0.99430377911749026904090998508755 y[1] (numeric) = 0.99430377911749026904090998508758 absolute error = 3e-32 relative error = 3.0171865610957412837010281186941e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.155 y[1] (analytic) = 0.994897958813461866342639484549 y[1] (numeric) = 0.99489795881346186634263948454903 absolute error = 3e-32 relative error = 3.0153846165066705284318209041674e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.156 y[1] (analytic) = 0.99549210304353318198122264699682 y[1] (numeric) = 0.99549210304353318198122264699686 absolute error = 4e-32 relative error = 4.0181132404473516401992444638728e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.157 y[1] (analytic) = 0.99608621183440544052925225615678 y[1] (numeric) = 0.99608621183440544052925225615679 absolute error = 1e-32 relative error = 1.0039291660893356568200330461045e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.158 y[1] (analytic) = 0.99668028521274972406543559340778 y[1] (numeric) = 0.99668028521274972406543559340779 absolute error = 1e-32 relative error = 1.0033307720003126730961403600303e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.159 y[1] (analytic) = 0.99727432320520701752723038116388 y[1] (numeric) = 0.99727432320520701752723038116389 absolute error = 1e-32 relative error = 1.0027331264140369587684854093235e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.16 y[1] (analytic) = 0.99786832583838825397821537721968 y[1] (numeric) = 0.99786832583838825397821537721968 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.161 y[1] (analytic) = 0.99846229313887435979038791178508 y[1] (numeric) = 0.9984622931388743597903879117851 absolute error = 2e-32 relative error = 2.0030801500901782442648461309135e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.162 y[1] (analytic) = 0.99905622513321629974158015318965 y[1] (numeric) = 0.99905622513321629974158015318968 absolute error = 3e-32 relative error = 3.0028339992576229289604682946586e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.163 y[1] (analytic) = 0.99965012184793512202818538401018 y[1] (numeric) = 0.99965012184793512202818538401019 absolute error = 1e-32 relative error = 1.0003500006096313973858628460775e-30 % Correct digits = 31 h = 0.001 memory used=129.7MB, alloc=4.4MB, time=15.08 Complex estimate of poles used for equation 1 Radius of convergence = 1.934 Order of pole = 4.878e-27 TOP MAIN SOLVE Loop x[1] = 1.164 y[1] (analytic) = 1.000243983309522003193385066664 y[1] (numeric) = 1.000243983309522003193385066664 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.692 Order of pole = 3.333e-27 TOP MAIN SOLVE Loop x[1] = 1.165 y[1] (analytic) = 1.0008378095444382929710669763085 y[1] (numeric) = 1.0008378095444382929710669763085 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.166 y[1] (analytic) = 1.0014316005791155590456241791879 y[1] (numeric) = 1.0014316005791155590456241791879 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.167 y[1] (analytic) = 1.0020253564399556317278241363718 y[1] (numeric) = 1.0020253564399556317278241363718 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.168 y[1] (analytic) = 1.0026190771533306485469367161234 y[1] (numeric) = 1.0026190771533306485469367161234 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.169 y[1] (analytic) = 1.0032127627455830987593094029204 y[1] (numeric) = 1.0032127627455830987593094029204 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.7928 Order of pole = 3.168e-27 TOP MAIN SOLVE Loop x[1] = 1.17 y[1] (analytic) = 1.0038064132430258677735774974204 y[1] (numeric) = 1.0038064132430258677735774974204 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.171 y[1] (analytic) = 1.0044000286719422814926966094097 y[1] (numeric) = 1.0044000286719422814926966094096 absolute error = 1e-31 relative error = 9.9561924676788373389884861607713e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.734 Order of pole = 3.002e-27 TOP MAIN SOLVE Loop x[1] = 1.172 y[1] (analytic) = 1.0049936090585861505729842549956 y[1] (numeric) = 1.0049936090585861505729842549956 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.173 y[1] (analytic) = 1.0055871544291818146003568799957 y[1] (numeric) = 1.0055871544291818146003568799957 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.174 y[1] (analytic) = 1.0061806648099241861839481436272 y[1] (numeric) = 1.0061806648099241861839481436272 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.175 y[1] (analytic) = 1.0067741402269787949672938102202 y[1] (numeric) = 1.0067741402269787949672938102202 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.007 Order of pole = 1.028e-27 TOP MAIN SOLVE Loop x[1] = 1.176 y[1] (analytic) = 1.0073675807064818315572681117418 y[1] (numeric) = 1.0073675807064818315572681117418 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.177 y[1] (analytic) = 1.0079609862745401913709559604391 y[1] (numeric) = 1.0079609862745401913709559604391 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.178 y[1] (analytic) = 1.0085543569572315184006449088705 y[1] (numeric) = 1.0085543569572315184006449088705 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.179 y[1] (analytic) = 1.0091476927806042488971202739969 y[1] (numeric) = 1.0091476927806042488971202739969 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.18 y[1] (analytic) = 1.0097409937706776549714463628424 y[1] (numeric) = 1.0097409937706776549714463628424 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.181 y[1] (analytic) = 1.0103342599534418881154162595002 y[1] (numeric) = 1.0103342599534418881154162595002 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.182 y[1] (analytic) = 1.0109274913548580226408521569531 y[1] (numeric) = 1.0109274913548580226408521569531 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.429 Order of pole = 6.603e-27 TOP MAIN SOLVE Loop x[1] = 1.183 y[1] (analytic) = 1.0115206880008580990379377422899 y[1] (numeric) = 1.0115206880008580990379377422899 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.184 y[1] (analytic) = 1.012113849917345167252763670428 y[1] (numeric) = 1.0121138499173451672527636704281 absolute error = 1e-31 relative error = 9.8803113906767064648774415622960e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.185 y[1] (analytic) = 1.0127069771301933298842666893938 y[1] (numeric) = 1.0127069771301933298842666893939 absolute error = 1e-31 relative error = 9.8745246412125812340841513118450e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.186 y[1] (analytic) = 1.0133000696652477853007425095544 y[1] (numeric) = 1.0133000696652477853007425095545 absolute error = 1e-31 relative error = 9.8687450039390446764410346796734e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.187 y[1] (analytic) = 1.0138931275483248706761120399476 y[1] (numeric) = 1.0138931275483248706761120399476 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.188 y[1] (analytic) = 1.0144861508052121049461201469945 y[1] (numeric) = 1.0144861508052121049461201469945 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.189 y[1] (analytic) = 1.0150791394616682316846456244228 y[1] (numeric) = 1.0150791394616682316846456244228 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.19 y[1] (analytic) = 1.0156720935434232619003005981462 y[1] (numeric) = 1.0156720935434232619003005981461 absolute error = 1e-31 relative error = 9.8456973107457615769221698246558e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.348 Order of pole = 3.1e-29 TOP MAIN SOLVE Loop x[1] = 1.191 y[1] (analytic) = 1.0162650130761785167534971261564 y[1] (numeric) = 1.0162650130761785167534971261563 absolute error = 1e-31 relative error = 9.8399530352132736196571009363336e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.192 y[1] (analytic) = 1.0168578980856066701941582911694 y[1] (numeric) = 1.0168578980856066701941582911693 absolute error = 1e-31 relative error = 9.8342157924195279565406477625857e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.193 y[1] (analytic) = 1.0174507485973517915202506228228 y[1] (numeric) = 1.0174507485973517915202506228227 absolute error = 1e-31 relative error = 9.8284855692385185973487934090011e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.194 y[1] (analytic) = 1.018043564637029387857314226653 y[1] (numeric) = 1.0180435646370293878573142266528 absolute error = 2e-31 relative error = 1.9645524705154192618558591580987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.195 y[1] (analytic) = 1.0186363462302264465591665388707 y[1] (numeric) = 1.0186363462302264465591665388705 absolute error = 2e-31 relative error = 1.9634092258749731189989572169144e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=133.5MB, alloc=4.4MB, time=15.53 TOP MAIN SOLVE Loop x[1] = 1.196 y[1] (analytic) = 1.019229093402501477529955169107 y[1] (numeric) = 1.0192290934025014775299551691068 absolute error = 2e-31 relative error = 1.9622673773208164117029784899032e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.197 y[1] (analytic) = 1.019821806179384555467734837808 y[1] (numeric) = 1.0198218061793845554677348378078 absolute error = 2e-31 relative error = 1.9611269222539100314508036407851e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.198 y[1] (analytic) = 1.020414484586377362029742960816 y[1] (numeric) = 1.0204144845863773620297429608159 absolute error = 1e-31 relative error = 9.7999392904085213385099501830376e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.256 Order of pole = 3.797e-27 TOP MAIN SOLVE Loop x[1] = 1.199 y[1] (analytic) = 1.0210071286489532279195479808804 y[1] (numeric) = 1.0210071286489532279195479808803 absolute error = 1e-31 relative error = 9.7942509110905925587169712885188e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.2 y[1] (analytic) = 1.0215997383925571748962440943854 y[1] (numeric) = 1.0215997383925571748962440943852 absolute error = 2e-31 relative error = 1.9577138920835210367571203268701e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.201 y[1] (analytic) = 1.0221923138426059577058655714688 y[1] (numeric) = 1.0221923138426059577058655714686 absolute error = 2e-31 relative error = 1.9565789851047088537718990923544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.202 y[1] (analytic) = 1.0227848550244881059351934189224 y[1] (numeric) = 1.0227848550244881059351934189222 absolute error = 2e-31 relative error = 1.9554454587148876431656752898234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.203 y[1] (analytic) = 1.0233773619635639657881266878074 y[1] (numeric) = 1.0233773619635639657881266878073 absolute error = 1e-31 relative error = 9.7715665517682588069442024736171e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.204 y[1] (analytic) = 1.0239698346851657417847902815921 y[1] (numeric) = 1.023969834685165741784790281592 absolute error = 1e-31 relative error = 9.7659126873348216128960125856598e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.205 y[1] (analytic) = 1.024562273214597538383550675804 y[1] (numeric) = 1.0245622732145975383835506758039 absolute error = 1e-31 relative error = 9.7602656875356867737071242235194e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.206 y[1] (analytic) = 1.0251546775771354015261105166971 y[1] (numeric) = 1.025154677577135401526110516697 absolute error = 1e-31 relative error = 9.7546255396640601508265178179597e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.207 y[1] (analytic) = 1.025747047798027360105852624247 y[1] (numeric) = 1.0257470477980273601058526242469 absolute error = 1e-31 relative error = 9.7489922310446948487943691992821e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.208 y[1] (analytic) = 1.0263393839024934673596034839105 y[1] (numeric) = 1.0263393839024934673596034839104 absolute error = 1e-31 relative error = 9.7433657490337931048697679101520e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.214 Order of pole = 4.814e-27 TOP MAIN SOLVE Loop x[1] = 1.209 y[1] (analytic) = 1.0269316859157258421829858720098 y[1] (numeric) = 1.0269316859157258421829858720097 absolute error = 1e-31 relative error = 9.7377460810189085450166919298515e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.21 y[1] (analytic) = 1.0275239538628887103695298213238 y[1] (numeric) = 1.0275239538628887103695298213237 absolute error = 1e-31 relative error = 9.7321332144188488046522967114178e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.211 y[1] (analytic) = 1.0281161877691184457737106964843 y[1] (numeric) = 1.0281161877691184457737106964842 absolute error = 1e-31 relative error = 9.7265271366835785125695191024944e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.212 y[1] (analytic) = 1.0287083876595236113980827130796 y[1] (numeric) = 1.0287083876595236113980827130794 absolute error = 2e-31 relative error = 1.9441855670588245272907789883518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.213 y[1] (analytic) = 1.0293005535591850004046757999584 y[1] (numeric) = 1.0293005535591850004046757999583 absolute error = 1e-31 relative error = 9.7153352977624701884223431717140e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.214 y[1] (analytic) = 1.0298926854931556770508232710983 y[1] (numeric) = 1.0298926854931556770508232710982 absolute error = 1e-31 relative error = 9.7097495116314782890194794597862e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.335 Order of pole = 4.922e-27 TOP MAIN SOLVE Loop x[1] = 1.215 y[1] (analytic) = 1.0304847834864610175495873415467 y[1] (numeric) = 1.0304847834864610175495873415466 absolute error = 1e-31 relative error = 9.7041704644747765881147888455634e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.248 Order of pole = 4.013e-27 TOP MAIN SOLVE Loop x[1] = 1.216 y[1] (analytic) = 1.0310768475640987508549490913672 y[1] (numeric) = 1.031076847564098750854949091367 absolute error = 2e-31 relative error = 1.9397196287793344082303420206208e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.217 y[1] (analytic) = 1.0316688777510389993719290522058 y[1] (numeric) = 1.0316688777510389993719290522057 absolute error = 1e-31 relative error = 9.6930325375320540392073645925208e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.641 Order of pole = 3.10e-28 TOP MAIN SOLVE Loop x[1] = 1.218 y[1] (analytic) = 1.0322608740722243195918041630482 y[1] (numeric) = 1.0322608740722243195918041630481 absolute error = 1e-31 relative error = 9.6874736330462998913292996411898e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.219 y[1] (analytic) = 1.0328528365525697426525864149442 y[1] (numeric) = 1.0328528365525697426525864149441 absolute error = 1e-31 relative error = 9.6819214181351806576232112072755e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.22 y[1] (analytic) = 1.0334447652169628148249280789488 y[1] (numeric) = 1.0334447652169628148249280789487 absolute error = 1e-31 relative error = 9.6763758805247673315731629999004e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.794 Order of pole = 1.367e-27 TOP MAIN SOLVE Loop x[1] = 1.221 y[1] (analytic) = 1.0340366600902636379236179872408 y[1] (numeric) = 1.0340366600902636379236179872407 absolute error = 1e-31 relative error = 9.6708370079713373700833296229419e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.222 y[1] (analytic) = 1.0346285211973049096448329143486 y[1] (numeric) = 1.0346285211973049096448329143485 absolute error = 1e-31 relative error = 9.6653047882612815697377599326566e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.223 y[1] (analytic) = 1.0352203485628919638293076836201 y[1] (numeric) = 1.03522034856289196382930768362 absolute error = 1e-31 relative error = 9.6597792092110112877820839112146e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.224 y[1] (analytic) = 1.0358121422118028106515872035194 y[1] (numeric) = 1.0358121422118028106515872035193 absolute error = 1e-31 relative error = 9.6542602586668660063384722149461e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.24 Order of pole = 2.043e-26 TOP MAIN SOLVE Loop x[1] = 1.225 y[1] (analytic) = 1.0364039021687881767355232190167 y[1] (numeric) = 1.0364039021687881767355232190166 absolute error = 1e-31 relative error = 9.6487479245050212383725024121158e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.226 y[1] (analytic) = 1.0369956284585715451961781452493 y[1] (numeric) = 1.0369956284585715451961781452493 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.227 y[1] (analytic) = 1.0375873211058491956082979337714 y[1] (numeric) = 1.0375873211058491956082979337714 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 memory used=137.3MB, alloc=4.4MB, time=15.98 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.228 y[1] (analytic) = 1.0381789801352902439015155060718 y[1] (numeric) = 1.0381789801352902439015155060718 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.229 y[1] (analytic) = 1.0387706055715366821824458746213 y[1] (numeric) = 1.0387706055715366821824458746213 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.23 y[1] (analytic) = 1.0393621974392034184838336585051 y[1] (numeric) = 1.0393621974392034184838336585051 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.231 y[1] (analytic) = 1.0399537557628783164409132887015 y[1] (numeric) = 1.0399537557628783164409132887015 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.232 y[1] (analytic) = 1.0405452805671222348951417872829 y[1] (numeric) = 1.0405452805671222348951417872829 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.233 y[1] (analytic) = 1.0411367718764690674254635952282 y[1] (numeric) = 1.0411367718764690674254635952282 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.234 y[1] (analytic) = 1.041728229715425781807266515151 y[1] (numeric) = 1.0417282297154257818072665151511 absolute error = 1e-31 relative error = 9.5994326684722281613931780407967e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.235 y[1] (analytic) = 1.0423196541084724593991874280572 y[1] (numeric) = 1.0423196541084724593991874280573 absolute error = 1e-31 relative error = 9.5939858378217981493904515970268e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.236 y[1] (analytic) = 1.0429110450800623344579260372427 y[1] (numeric) = 1.0429110450800623344579260372427 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.237 y[1] (analytic) = 1.0435024026546218333812244876329 y[1] (numeric) = 1.0435024026546218333812244876329 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.238 y[1] (analytic) = 1.0440937268565506138791703052316 y[1] (numeric) = 1.0440937268565506138791703052315 absolute error = 1e-31 relative error = 9.5776842085882131922636709498966e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.239 y[1] (analytic) = 1.044685017710221604073979698896 y[1] (numeric) = 1.044685017710221604073979698896 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.24 y[1] (analytic) = 1.0452762752399810415284178653819 y[1] (numeric) = 1.0452762752399810415284178653818 absolute error = 1e-31 relative error = 9.5668487239932214849813665290801e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.241 y[1] (analytic) = 1.0458674994701485122030125384926 y[1] (numeric) = 1.0458674994701485122030125384925 absolute error = 1e-31 relative error = 9.5614406271025187624176392912683e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.242 y[1] (analytic) = 1.0464586904250169893422166242348 y[1] (numeric) = 1.0464586904250169893422166242348 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.243 y[1] (analytic) = 1.0470498481288528722896753661062 y[1] (numeric) = 1.0470498481288528722896753661062 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.244 y[1] (analytic) = 1.0476409726058960252327530880273 y[1] (numeric) = 1.0476409726058960252327530880273 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.245 y[1] (analytic) = 1.0482320638803598158764741669755 y[1] (numeric) = 1.0482320638803598158764741669755 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9651 Order of pole = 2.124e-27 TOP MAIN SOLVE Loop x[1] = 1.246 y[1] (analytic) = 1.0488231219764311540470324930697 y[1] (numeric) = 1.0488231219764311540470324930698 absolute error = 1e-31 relative error = 9.5344961323466294353705545066289e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.247 y[1] (analytic) = 1.0494141469182705302250232817016 y[1] (numeric) = 1.0494141469182705302250232817016 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.248 y[1] (analytic) = 1.0500051387300120540085507102942 y[1] (numeric) = 1.0500051387300120540085507102942 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.249 y[1] (analytic) = 1.0505960974357634925063644614016 y[1] (numeric) = 1.0505960974357634925063644614017 absolute error = 1e-31 relative error = 9.5184058120979543675454156254084e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.25 y[1] (analytic) = 1.0511870230596063086611778641268 y[1] (numeric) = 1.0511870230596063086611778641268 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.251 y[1] (analytic) = 1.0517779156255956995033199372351 y[1] (numeric) = 1.0517779156255956995033199372351 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.252 y[1] (analytic) = 1.052368775157760634334873249875 y[1] (numeric) = 1.052368775157760634334873249875 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.253 y[1] (analytic) = 1.052959601680103892844449129467 y[1] (numeric) = 1.0529596016801038928444491294671 absolute error = 1e-31 relative error = 9.4970405170758548160436509313183e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.254 y[1] (analytic) = 1.0535503952166021031527513611066 y[1] (numeric) = 1.0535503952166021031527513611067 absolute error = 1e-31 relative error = 9.4917149150174962317591572464853e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.255 y[1] (analytic) = 1.0541411557912057797890791387202 y[1] (numeric) = 1.0541411557912057797890791387203 absolute error = 1e-31 relative error = 9.4863955790572553715392426027402e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.256 y[1] (analytic) = 1.054731883427839361598919645229 y[1] (numeric) = 1.054731883427839361598919645229 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.257 y[1] (analytic) = 1.0553225781504012495827802570958 y[1] (numeric) = 1.0553225781504012495827802570958 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.258 y[1] (analytic) = 1.0559132399827638446664099878673 y[1] (numeric) = 1.0559132399827638446664099878673 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.259 y[1] (analytic) = 1.0565038689487735854025594056543 y[1] (numeric) = 1.0565038689487735854025594056543 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=141.1MB, alloc=4.4MB, time=16.43 x[1] = 1.26 y[1] (analytic) = 1.0570944650722509856044278809346 y[1] (numeric) = 1.0570944650722509856044278809346 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.79 Order of pole = 3.92e-28 TOP MAIN SOLVE Loop x[1] = 1.261 y[1] (analytic) = 1.0576850283769906719109466435946 y[1] (numeric) = 1.0576850283769906719109466435946 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.262 y[1] (analytic) = 1.0582755588867614212840457517536 y[1] (numeric) = 1.0582755588867614212840457517536 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.263 y[1] (analytic) = 1.0588660566253061984380526996332 y[1] (numeric) = 1.0588660566253061984380526996331 absolute error = 1e-31 relative error = 9.4440651274353132511427305168087e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.264 y[1] (analytic) = 1.0594565216163421932013700175361 y[1] (numeric) = 1.059456521616342193201370017536 absolute error = 1e-31 relative error = 9.4388016836629280316623838153761e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.265 y[1] (analytic) = 1.060046953883560857810578843889 y[1] (numeric) = 1.0600469538835608578105788438889 absolute error = 1e-31 relative error = 9.4335443947687941916700234860862e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.266 y[1] (analytic) = 1.0606373534506279441371150772651 y[1] (numeric) = 1.060637353450627944137115077265 absolute error = 1e-31 relative error = 9.4282932497770966172366242655458e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.267 y[1] (analytic) = 1.0612277203411835408466643453494 y[1] (numeric) = 1.0612277203411835408466643453493 absolute error = 1e-31 relative error = 9.4230482377382782996655361102087e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.268 y[1] (analytic) = 1.0618180545788421104914216579197 y[1] (numeric) = 1.0618180545788421104914216579196 absolute error = 1e-31 relative error = 9.4178093477289616333409307960545e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.269 y[1] (analytic) = 1.0624083561871925265353612421015 y[1] (numeric) = 1.0624083561871925265353612421014 absolute error = 1e-31 relative error = 9.4125765688518699968405339351376e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.27 y[1] (analytic) = 1.0629986251897981103126616904035 y[1] (numeric) = 1.0629986251897981103126616904034 absolute error = 1e-31 relative error = 9.4073498902357496161231905163831e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.271 y[1] (analytic) = 1.0635888616101966679194311853498 y[1] (numeric) = 1.0635888616101966679194311853496 absolute error = 2e-31 relative error = 1.8804258602070583417215036933284e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.272 y[1] (analytic) = 1.0641790654719005270388771988937 y[1] (numeric) = 1.0641790654719005270388771988936 absolute error = 1e-31 relative error = 9.3969147904310549069635803321720e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.273 y[1] (analytic) = 1.0647692367983965737000647002242 y[1] (numeric) = 1.0647692367983965737000647002241 absolute error = 1e-31 relative error = 9.3917063476293879614451481848109e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.274 y[1] (analytic) = 1.0653593756131462889704065420474 y[1] (numeric) = 1.0653593756131462889704065420473 absolute error = 1e-31 relative error = 9.3865039618623527195957514444251e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.275 y[1] (analytic) = 1.0659494819395857855820293329528 y[1] (numeric) = 1.0659494819395857855820293329527 absolute error = 1e-31 relative error = 9.3813076223876473821672816616718e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.276 y[1] (analytic) = 1.0665395558011258444921577420414 y[1] (numeric) = 1.0665395558011258444921577420412 absolute error = 2e-31 relative error = 1.8752234636977060068190965207162e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.321 Order of pole = 6.106e-26 TOP MAIN SOLVE Loop x[1] = 1.277 y[1] (analytic) = 1.0671295972211519513776598216003 y[1] (numeric) = 1.0671295972211519513776598216001 absolute error = 2e-31 relative error = 1.8741866078947484898764356817163e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.073 Order of pole = 5.232e-27 TOP MAIN SOLVE Loop x[1] = 1.278 y[1] (analytic) = 1.0677196062230243330638955742611 y[1] (numeric) = 1.0677196062230243330638955742609 absolute error = 2e-31 relative error = 1.8731509549354868337479174611408e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.279 y[1] (analytic) = 1.0683095828300779938880106327563 y[1] (numeric) = 1.0683095828300779938880106327561 absolute error = 2e-31 relative error = 1.8721165026918173697715067204449e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.123 Order of pole = 1.307e-27 TOP MAIN SOLVE Loop x[1] = 1.28 y[1] (analytic) = 1.0688995270656227519968165631058 y[1] (numeric) = 1.0688995270656227519968165631056 absolute error = 2e-31 relative error = 1.8710832490406877764319613021822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.281 y[1] (analytic) = 1.0694894389529432755793989458065 y[1] (numeric) = 1.0694894389529432755793989458063 absolute error = 2e-31 relative error = 1.8700511918640820571842642174722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.282 y[1] (analytic) = 1.070079318515299119034594034363 y[1] (numeric) = 1.0700793185152991190345940343627 absolute error = 3e-31 relative error = 2.8035304935735083578869342760340e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.283 y[1] (analytic) = 1.0706691657759247590734744362864 y[1] (numeric) = 1.0706691657759247590734744362861 absolute error = 3e-31 relative error = 2.8019859877312051828282673301827e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.937 Order of pole = 2.699e-27 TOP MAIN SOLVE Loop x[1] = 1.284 y[1] (analytic) = 1.0712589807580296307569839084951 y[1] (numeric) = 1.0712589807580296307569839084948 absolute error = 3e-31 relative error = 2.8004432671147186315984470704517e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 34.13 Order of pole = 1.381e-25 TOP MAIN SOLVE Loop x[1] = 1.285 y[1] (analytic) = 1.071848763484798163468861006869 y[1] (numeric) = 1.0718487634847981634688610068687 absolute error = 3e-31 relative error = 2.7989023285770189309600786042515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.286 y[1] (analytic) = 1.0724385139793898168239909785438 y[1] (numeric) = 1.0724385139793898168239909785434 absolute error = 4e-31 relative error = 3.7298175586380257722603801234157e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.287 y[1] (analytic) = 1.0730282322649391165123249353699 y[1] (numeric) = 1.0730282322649391165123249353695 absolute error = 4e-31 relative error = 3.7277677135827387208952948196910e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.288 y[1] (analytic) = 1.073617918364555690078504997808 y[1] (numeric) = 1.0736179183645556900785049978076 absolute error = 4e-31 relative error = 3.7257202321038083585206597991756e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.289 y[1] (analytic) = 1.0742075723013243026373337503771 y[1] (numeric) = 1.0742075723013243026373337503767 absolute error = 4e-31 relative error = 3.7236751100447150769272172078725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.29 y[1] (analytic) = 1.0747971940983048925252260026192 y[1] (numeric) = 1.0747971940983048925252260026188 absolute error = 4e-31 relative error = 3.7216323432587462937473429416765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.291 y[1] (analytic) = 1.0753867837785326068877805033841 y[1] (numeric) = 1.0753867837785326068877805033837 absolute error = 4e-31 relative error = 3.7195919276089674611891208445279e-29 % Correct digits = 30 h = 0.001 memory used=144.9MB, alloc=4.4MB, time=16.88 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.292 y[1] (analytic) = 1.0759763413650178372036089110696 y[1] (numeric) = 1.0759763413650178372036089110691 absolute error = 5e-31 relative error = 4.6469423237102414721118621480620e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.293 y[1] (analytic) = 1.0765658668807462547445589782754 y[1] (numeric) = 1.076565866880746254744558978275 absolute error = 4e-31 relative error = 3.7155181332189584020601922377599e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.294 y[1] (analytic) = 1.0771553603486788459724685661362 y[1] (numeric) = 1.0771553603486788459724685661357 absolute error = 5e-31 relative error = 4.6418559328168622121278400398564e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.295 y[1] (analytic) = 1.0777448217917519478725867613856 y[1] (numeric) = 1.0777448217917519478725867613851 absolute error = 5e-31 relative error = 4.6393171174670962630835895491589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.296 y[1] (analytic) = 1.0783342512328772832237980279782 y[1] (numeric) = 1.0783342512328772832237980279777 absolute error = 5e-31 relative error = 4.6367812153638055846775997535622e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.297 y[1] (analytic) = 1.0789236486949419958057849848343 y[1] (numeric) = 1.0789236486949419958057849848338 absolute error = 5e-31 relative error = 4.6342482214084033979344521699358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.298 y[1] (analytic) = 1.0795130142008086855432650619964 y[1] (numeric) = 1.0795130142008086855432650619959 absolute error = 5e-31 relative error = 4.6317181305142753660258507570866e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.888 Order of pole = 3.255e-26 TOP MAIN SOLVE Loop x[1] = 1.299 y[1] (analytic) = 1.0801023477733154435874359491707 y[1] (numeric) = 1.0801023477733154435874359491702 absolute error = 5e-31 relative error = 4.6291909376067443695997282614087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.3 y[1] (analytic) = 1.0806916494352758873347644132833 y[1] (numeric) = 1.0806916494352758873347644132828 absolute error = 5e-31 relative error = 4.6266666376230354065653396655178e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.94 Order of pole = 1.988e-26 TOP MAIN SOLVE Loop x[1] = 1.301 y[1] (analytic) = 1.0812809192094791953832527252992 y[1] (numeric) = 1.0812809192094791953832527252987 absolute error = 5e-31 relative error = 4.6241452255122406158213045404666e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.3 Order of pole = 4.064e-26 TOP MAIN SOLVE Loop x[1] = 1.302 y[1] (analytic) = 1.08187015711869014242631660113 y[1] (numeric) = 1.0818701571186901424263166011295 absolute error = 5e-31 relative error = 4.6216266962352844244159764187164e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.869 Order of pole = 1.164e-26 TOP MAIN SOLVE Loop x[1] = 1.303 y[1] (analytic) = 1.0824593631856491340844082269947 y[1] (numeric) = 1.0824593631856491340844082269942 absolute error = 5e-31 relative error = 4.6191110447648888176319208241909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.304 y[1] (analytic) = 1.0830485374330722416745176060874 y[1] (numeric) = 1.0830485374330722416745176060868 absolute error = 6e-31 relative error = 5.5399179193026464777864092713193e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.305 y[1] (analytic) = 1.083637679883651236917685130848 y[1] (numeric) = 1.0836376798836512369176851308475 absolute error = 5e-31 relative error = 4.6140883551934475671603356662145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.306 y[1] (analytic) = 1.0842267905600536265846579535248 y[1] (numeric) = 1.0842267905600536265846579535243 absolute error = 5e-31 relative error = 4.6115813070965228268069037192253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.307 y[1] (analytic) = 1.0848158694849226870798223970494 y[1] (numeric) = 1.0848158694849226870798223970489 absolute error = 5e-31 relative error = 4.6090771168143318703206338565137e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.308 y[1] (analytic) = 1.0854049166808774989635443185281 y[1] (numeric) = 1.0854049166808774989635443185276 absolute error = 5e-31 relative error = 4.6065757793780677924910202684999e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.309 y[1] (analytic) = 1.0859939321705129814130490088658 y[1] (numeric) = 1.0859939321705129814130490088653 absolute error = 5e-31 relative error = 4.6040772898305154200943438325282e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.31 y[1] (analytic) = 1.0865829159763999266219718841956 y[1] (numeric) = 1.0865829159763999266219718841952 absolute error = 4e-31 relative error = 3.6812653145808139427328314115469e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.311 y[1] (analytic) = 1.0871718681210850341387108978732 y[1] (numeric) = 1.0871718681210850341387108978728 absolute error = 4e-31 relative error = 3.6792710677043524613731517075518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.312 y[1] (analytic) = 1.0877607886270909451437112758102 y[1] (numeric) = 1.0877607886270909451437112758097 absolute error = 5e-31 relative error = 4.5965988591211420621527479333382e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.313 y[1] (analytic) = 1.0883496775169162766658128528678 y[1] (numeric) = 1.0883496775169162766658128528673 absolute error = 5e-31 relative error = 4.5941117117869359916723649806496e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.992 Order of pole = 6.23e-28 TOP MAIN SOLVE Loop x[1] = 1.314 y[1] (analytic) = 1.0889385348130356557377899638982 y[1] (numeric) = 1.0889385348130356557377899638977 absolute error = 5e-31 relative error = 4.5916273877280599713949705765961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.315 y[1] (analytic) = 1.0895273605378997534912135198122 y[1] (numeric) = 1.0895273605378997534912135198118 absolute error = 4e-31 relative error = 3.6713167056449134504024083874287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.316 y[1] (analytic) = 1.0901161547139353191907645767589 y[1] (numeric) = 1.0901161547139353191907645767585 absolute error = 4e-31 relative error = 3.6693337519153330853299885257570e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.68 Order of pole = 2.45e-28 TOP MAIN SOLVE Loop x[1] = 1.317 y[1] (analytic) = 1.0907049173635452142081283851268 y[1] (numeric) = 1.0907049173635452142081283851264 absolute error = 4e-31 relative error = 3.6673530451011539279985377352361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.318 y[1] (analytic) = 1.091293648509108445935597584614 y[1] (numeric) = 1.0912936485091084459355975846136 absolute error = 4e-31 relative error = 3.6653745813188558421196965017539e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.319 y[1] (analytic) = 1.0918823481729802016395128920564 y[1] (numeric) = 1.091882348172980201639512892056 absolute error = 4e-31 relative error = 3.6633983566939252447491940201604e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.32 y[1] (analytic) = 1.0924710163774918822536693100606 y[1] (numeric) = 1.0924710163774918822536693100601 absolute error = 5e-31 relative error = 4.5767804592010361671639880828864e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.321 y[1] (analytic) = 1.093059653144951136112815566739 y[1] (numeric) = 1.0930596531449511361128155667385 absolute error = 5e-31 relative error = 4.5743157618287350081013057006678e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.322 y[1] (analytic) = 1.093648258497641892626374180007 y[1] (numeric) = 1.0936482584976418926263741800065 absolute error = 5e-31 relative error = 4.5718538489409398371682472861683e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.955 Order of pole = 7.560e-27 memory used=148.7MB, alloc=4.4MB, time=17.33 TOP MAIN SOLVE Loop x[1] = 1.323 y[1] (analytic) = 1.0942368324578243958925092239524 y[1] (numeric) = 1.0942368324578243958925092239519 absolute error = 5e-31 relative error = 4.5693947157392154248672464615584e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.324 y[1] (analytic) = 1.0948253750477352382526685597419 y[1] (numeric) = 1.0948253750477352382526685597414 absolute error = 5e-31 relative error = 4.5669383574362222920002480960646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.325 y[1] (analytic) = 1.0954138862895873937867269793684 y[1] (numeric) = 1.0954138862895873937867269793679 absolute error = 5e-31 relative error = 4.5644847692556845602120077952785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.326 y[1] (analytic) = 1.096002366205570251748856397278 y[1] (numeric) = 1.0960023662055702517488563972775 absolute error = 5e-31 relative error = 4.5620339464323579144035089825974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.327 y[1] (analytic) = 1.0965908148178496499442489125329 y[1] (numeric) = 1.0965908148178496499442489125324 absolute error = 5e-31 relative error = 4.5595858842119976765613130932793e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.328 y[1] (analytic) = 1.0971792321485679080468182526694 y[1] (numeric) = 1.0971792321485679080468182526689 absolute error = 5e-31 relative error = 4.5571405778513269905507652326453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.329 y[1] (analytic) = 1.0977676182198438608580047997938 y[1] (numeric) = 1.0977676182198438608580047997933 absolute error = 5e-31 relative error = 4.5546980226180051174230734910131e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.33 y[1] (analytic) = 1.0983559730537728915068090897212 y[1] (numeric) = 1.0983559730537728915068090897206 absolute error = 6e-31 relative error = 5.4627098565487150089460380271683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.331 y[1] (analytic) = 1.0989442966724269645911783660993 y[1] (numeric) = 1.0989442966724269645911783660987 absolute error = 6e-31 relative error = 5.4597853759902431781706752570926e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.332 y[1] (analytic) = 1.09953258909785465926087046347 y[1] (numeric) = 1.0995325890978546592608704634694 absolute error = 6e-31 relative error = 5.4568641798265248280423874240554e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.333 y[1] (analytic) = 1.1001208503520812022419189860999 y[1] (numeric) = 1.1001208503520812022419189860993 absolute error = 6e-31 relative error = 5.4539462624308666115731920647127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.334 y[1] (analytic) = 1.1007090804571085008028234431594 y[1] (numeric) = 1.1007090804571085008028234431588 absolute error = 6e-31 relative error = 5.4510316181895102647655130406054e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.335 y[1] (analytic) = 1.1012972794349151756625876954412 y[1] (numeric) = 1.1012972794349151756625876954405 absolute error = 7e-31 relative error = 6.3561402817518612363935928898370e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.336 y[1] (analytic) = 1.1018854473074565938407297642802 y[1] (numeric) = 1.1018854473074565938407297642795 absolute error = 7e-31 relative error = 6.3527474812423091180792810113827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.337 y[1] (analytic) = 1.1024735840966649014493857496725 y[1] (numeric) = 1.1024735840966649014493857496719 absolute error = 6e-31 relative error = 5.4423072684469144652433715433881e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.338 y[1] (analytic) = 1.1030616898244490564276303017742 y[1] (numeric) = 1.1030616898244490564276303017736 absolute error = 6e-31 relative error = 5.4394056609425831806844454210956e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.339 y[1] (analytic) = 1.1036497645126948612181357880058 y[1] (numeric) = 1.1036497645126948612181357880052 absolute error = 6e-31 relative error = 5.4365072987164890518412391592315e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.114 Order of pole = 1.878e-27 TOP MAIN SOLVE Loop x[1] = 1.34 y[1] (analytic) = 1.1042378081832649953862919968797 y[1] (numeric) = 1.1042378081832649953862919968792 absolute error = 5e-31 relative error = 4.5280101468597552687008373140746e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.103 Order of pole = 7.4e-29 TOP MAIN SOLVE Loop x[1] = 1.341 y[1] (analytic) = 1.1048258208579990481819079194074 y[1] (numeric) = 1.1048258208579990481819079194068 absolute error = 6e-31 relative error = 5.4307202879639861801788113267070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.342 y[1] (analytic) = 1.1054138025587135510436168495279 y[1] (numeric) = 1.1054138025587135510436168495273 absolute error = 6e-31 relative error = 5.4278316284017203870852495766321e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.343 y[1] (analytic) = 1.106001753307202010046105746431 y[1] (numeric) = 1.1060017533072020100461057464304 absolute error = 6e-31 relative error = 5.4249461920459050352079602602426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.344 y[1] (analytic) = 1.106589673125234938290289503912 y[1] (numeric) = 1.1065896731252349382902895039113 absolute error = 7e-31 relative error = 6.3257413023117884982870679710601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.345 y[1] (analytic) = 1.1071775620345598882365504750038 y[1] (numeric) = 1.1071775620345598882365504750032 absolute error = 6e-31 relative error = 5.4191849670204150806359820205764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.346 y[1] (analytic) = 1.1077654200569014839811633040728 y[1] (numeric) = 1.1077654200569014839811633040721 absolute error = 7e-31 relative error = 6.3190273619846681671878661756862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.347 y[1] (analytic) = 1.1083532472139614534760248233329 y[1] (numeric) = 1.1083532472139614534760248233322 absolute error = 7e-31 relative error = 6.3156759973372359181856416946834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.348 y[1] (analytic) = 1.1089410435274186606918084763414 y[1] (numeric) = 1.1089410435274186606918084763408 absolute error = 6e-31 relative error = 5.4105671667762105828342204002395e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.349 y[1] (analytic) = 1.1095288090189291377246624374612 y[1] (numeric) = 1.1095288090189291377246624374606 absolute error = 6e-31 relative error = 5.4077009548813228551790247980010e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.66 Order of pole = 3.689e-27 TOP MAIN SOLVE Loop x[1] = 1.35 y[1] (analytic) = 1.1101165437101261168465703035315 y[1] (numeric) = 1.1101165437101261168465703035309 absolute error = 6e-31 relative error = 5.4048379280497610150189073170030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.351 y[1] (analytic) = 1.1107042476226200624994929420636 y[1] (numeric) = 1.1107042476226200624994929420629 absolute error = 7e-31 relative error = 6.3023077610290768501374396405076e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.352 y[1] (analytic) = 1.1112919207779987032334097891685 y[1] (numeric) = 1.1112919207779987032334097891678 absolute error = 7e-31 relative error = 6.2989749759895722421705488805706e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.353 y[1] (analytic) = 1.1118795631978270635883776001372 y[1] (numeric) = 1.1118795631978270635883776001365 absolute error = 7e-31 relative error = 6.2956458880021260545323067926376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.354 memory used=152.5MB, alloc=4.4MB, time=17.77 y[1] (analytic) = 1.112467174903647495920724366114 y[1] (numeric) = 1.1124671749036474959207243661134 absolute error = 6e-31 relative error = 5.3934175635516340406118910153615e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.355 y[1] (analytic) = 1.1130547559169797121734958216427 y[1] (numeric) = 1.1130547559169797121734958216421 absolute error = 6e-31 relative error = 5.3905703812899629751941162365288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.356 y[1] (analytic) = 1.1136423062593208155912716800046 y[1] (numeric) = 1.113642306259320815591271680004 absolute error = 6e-31 relative error = 5.3877263518784193964056368111181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.357 y[1] (analytic) = 1.1142298259521453323794684462216 y[1] (numeric) = 1.114229825952145332379468446221 absolute error = 6e-31 relative error = 5.3848854699907233539995328637046e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.358 y[1] (analytic) = 1.114817315016905243308245371348 y[1] (numeric) = 1.1148173150169052433082453713474 absolute error = 6e-31 relative error = 5.3820477303126702634883945464858e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.653 Order of pole = 3.788e-27 TOP MAIN SOLVE Loop x[1] = 1.359 y[1] (analytic) = 1.1154047734750300152611298262305 y[1] (numeric) = 1.1154047734750300152611298262298 absolute error = 7e-31 relative error = 6.2757486487991126998574737209528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.36 y[1] (analytic) = 1.1159922013479266327284780882695 y[1] (numeric) = 1.1159922013479266327284780882688 absolute error = 7e-31 relative error = 6.2724452657869866598656005894511e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.361 y[1] (analytic) = 1.1165795986569796292458872508642 y[1] (numeric) = 1.1165795986569796292458872508635 absolute error = 7e-31 relative error = 6.2691455301705226875371035915386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.362 y[1] (analytic) = 1.117166965423551118777673682165 y[1] (numeric) = 1.1171669654235511187776736821643 absolute error = 7e-31 relative error = 6.2658494358057682643453491467616e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.363 y[1] (analytic) = 1.1177543016689808270455331774942 y[1] (numeric) = 1.1177543016689808270455331774935 absolute error = 7e-31 relative error = 6.2625569765626600388266705059402e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.364 y[1] (analytic) = 1.1183416074145861228024976683148 y[1] (numeric) = 1.1183416074145861228024976683141 absolute error = 7e-31 relative error = 6.2592681463249844800184994279087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.365 y[1] (analytic) = 1.118928882681662049052303069939 y[1] (numeric) = 1.1189288826816620490523030699383 absolute error = 7e-31 relative error = 6.2559829389903386647692204636240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.366 y[1] (analytic) = 1.1195161274914813542142825702582 y[1] (numeric) = 1.1195161274914813542142825702575 absolute error = 7e-31 relative error = 6.2527013484700911983882915813553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.367 y[1] (analytic) = 1.1201033418652945232338993826507 y[1] (numeric) = 1.12010334186529452323389938265 absolute error = 7e-31 relative error = 6.2494233686893432681075855426631e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.677 Order of pole = 2.206e-27 TOP MAIN SOLVE Loop x[1] = 1.368 y[1] (analytic) = 1.1206905258243298086390327078765 y[1] (numeric) = 1.1206905258243298086390327078757 absolute error = 8e-31 relative error = 7.1384559926707312329454912206676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.369 y[1] (analytic) = 1.1212776793897932615421303721944 y[1] (numeric) = 1.1212776793897932615421303721936 absolute error = 8e-31 relative error = 7.1347179624173496235682388383519e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.37 y[1] (analytic) = 1.1218648025828687625883413321425 y[1] (numeric) = 1.1218648025828687625883413321418 absolute error = 7e-31 relative error = 6.2396110332402831174862675328267e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.371 y[1] (analytic) = 1.1224518954247180528497409603943 y[1] (numeric) = 1.1224518954247180528497409603936 absolute error = 7e-31 relative error = 6.2363474359418411067962129461755e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.372 y[1] (analytic) = 1.1230389579364807646657617518461 y[1] (numeric) = 1.1230389579364807646657617518454 absolute error = 7e-31 relative error = 6.2330874192130393989768187402772e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.43 Order of pole = 9.910e-27 TOP MAIN SOLVE Loop x[1] = 1.373 y[1] (analytic) = 1.1236259901392744524299418146022 y[1] (numeric) = 1.1236259901392744524299418146015 absolute error = 7e-31 relative error = 6.2298309770605641668530651555223e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.374 y[1] (analytic) = 1.1242129920541946233231032367964 y[1] (numeric) = 1.1242129920541946233231032367956 absolute error = 8e-31 relative error = 7.1160892611480745304876356383856e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.375 y[1] (analytic) = 1.1247999637023147679930721472234 y[1] (numeric) = 1.1247999637023147679930721472227 absolute error = 7e-31 relative error = 6.2233287925786180728168658662059e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.376 y[1] (analytic) = 1.125386905104686391181052015552 y[1] (numeric) = 1.1253869051046863911810520155513 absolute error = 7e-31 relative error = 6.2200830383296862281072942728320e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.92 Order of pole = 5.94e-28 TOP MAIN SOLVE Loop x[1] = 1.377 y[1] (analytic) = 1.1259738162823390422947614664377 y[1] (numeric) = 1.1259738162823390422947614664369 absolute error = 8e-31 relative error = 7.1049609540778096821072049788136e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.378 y[1] (analytic) = 1.1265606972562803459284476111659 y[1] (numeric) = 1.1265606972562803459284476111651 absolute error = 8e-31 relative error = 7.1012596298484987227765029246295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.379 y[1] (analytic) = 1.127147548047496032329885630511 y[1] (numeric) = 1.1271475480474960323298856305102 absolute error = 8e-31 relative error = 7.0975623500738822076180498929298e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.071 Order of pole = 2.950e-27 TOP MAIN SOLVE Loop x[1] = 1.38 y[1] (analytic) = 1.1277343686769499678144750733064 y[1] (numeric) = 1.1277343686769499678144750733056 absolute error = 8e-31 relative error = 7.0938691080112631059335388127823e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.381 y[1] (analytic) = 1.1283211591655841851265430667787 y[1] (numeric) = 1.1283211591655841851265430667779 absolute error = 8e-31 relative error = 7.0901798969330312269414305262858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.382 y[1] (analytic) = 1.1289079195343189137479643669995 y[1] (numeric) = 1.1289079195343189137479643669987 absolute error = 8e-31 relative error = 7.0864947101266209154871277769544e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.383 y[1] (analytic) = 1.1294946498040526101542079108531 y[1] (numeric) = 1.1294946498040526101542079108523 absolute error = 8e-31 relative error = 7.0828135408944688902268847093457e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.384 y[1] (analytic) = 1.1300813499956619880179192647045 y[1] (numeric) = 1.1300813499956619880179192647037 absolute error = 8e-31 relative error = 7.0791363825539722237255776351286e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.385 y[1] (analytic) = 1.1306680201300020483601480994755 y[1] (numeric) = 1.1306680201300020483601480994747 absolute error = 8e-31 relative error = 7.0754632284374464639109767031093e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=156.4MB, alloc=4.4MB, time=18.22 TOP MAIN SOLVE Loop x[1] = 1.386 y[1] (analytic) = 1.1312546602279061096493295570956 y[1] (numeric) = 1.1312546602279061096493295570948 absolute error = 8e-31 relative error = 7.0717940718920838963296592994481e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.387 y[1] (analytic) = 1.13184127031018583784812810929 y[1] (numeric) = 1.1318412703101858378481281092892 absolute error = 8e-31 relative error = 7.0681289062799119466521945705693e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.388 y[1] (analytic) = 1.1324278503976312764082522463888 y[1] (numeric) = 1.132427850397631276408252246388 absolute error = 8e-31 relative error = 7.0644677249777517228777044758813e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.389 y[1] (analytic) = 1.133014400511010876213348071299 y[1] (numeric) = 1.1330144005110108762133480712982 absolute error = 8e-31 relative error = 7.0608105213771766966903703106280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.39 y[1] (analytic) = 1.1336009206710715254700796119589 y[1] (numeric) = 1.1336009206710715254700796119581 absolute error = 8e-31 relative error = 7.0571572888844715234229047609328e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.18 Order of pole = 6.85e-28 TOP MAIN SOLVE Loop x[1] = 1.391 y[1] (analytic) = 1.1341874108985385795475034045028 y[1] (numeric) = 1.134187410898538579547503404502 absolute error = 8e-31 relative error = 7.0535080209205910000844483327514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.392 y[1] (analytic) = 1.1347738712141158907648446389887 y[1] (numeric) = 1.1347738712141158907648446389879 absolute error = 8e-31 relative error = 7.0498627109211191609127755031035e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.967 Order of pole = 9.23e-28 TOP MAIN SOLVE Loop x[1] = 1.393 y[1] (analytic) = 1.1353603016384858381277818998938 y[1] (numeric) = 1.135360301638485838127781899893 absolute error = 8e-31 relative error = 7.0462213523362285099131102441240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.394 y[1] (analytic) = 1.1359467021923093570133472746448 y[1] (numeric) = 1.135946702192309357013347274644 absolute error = 8e-31 relative error = 7.0425839386306393898482527364224e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.146 Order of pole = 2.132e-27 TOP MAIN SOLVE Loop x[1] = 1.395 y[1] (analytic) = 1.1365330728962259688035483452342 y[1] (numeric) = 1.1365330728962259688035483452334 absolute error = 8e-31 relative error = 7.0389504632835794871471091856354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.396 y[1] (analytic) = 1.1371194137708538104678183204677 y[1] (numeric) = 1.1371194137708538104678183204669 absolute error = 8e-31 relative error = 7.0353209197887434722010947523014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.397 y[1] (analytic) = 1.137705724836789664094400309595 y[1] (numeric) = 1.1377057248367896640944003095942 absolute error = 8e-31 relative error = 7.0316953016542527745202457671596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.398 y[1] (analytic) = 1.1382920061146089863707714819904 y[1] (numeric) = 1.1382920061146089863707714819896 absolute error = 8e-31 relative error = 7.0280736024026154922232316982361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.399 y[1] (analytic) = 1.1388782576248659380132126021734 y[1] (numeric) = 1.1388782576248659380132126021726 absolute error = 8e-31 relative error = 7.0244558155706864353377998286809e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.728 Order of pole = 2.836e-27 TOP MAIN SOLVE Loop x[1] = 1.4 y[1] (analytic) = 1.1394644793880934131456281747839 y[1] (numeric) = 1.1394644793880934131456281747831 absolute error = 8e-31 relative error = 7.0208419347096273023905163610276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.401 y[1] (analytic) = 1.1400506714248030686277221801593 y[1] (numeric) = 1.1400506714248030686277221801584 absolute error = 9e-31 relative error = 7.8943859475579753634878600932834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.402 y[1] (analytic) = 1.1406368337554853533326341278856 y[1] (numeric) = 1.1406368337554853533326341278847 absolute error = 9e-31 relative error = 7.8903290983230697874918012359172e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.239 Order of pole = 4.276e-27 TOP MAIN SOLVE Loop x[1] = 1.403 y[1] (analytic) = 1.141222966400609537374139903127 y[1] (numeric) = 1.1412229664006095373741399031261 absolute error = 9e-31 relative error = 7.8862766216366893294729147032037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.404 y[1] (analytic) = 1.1418090693806237412835216286581 y[1] (numeric) = 1.1418090693806237412835216286572 absolute error = 9e-31 relative error = 7.8822285103078268637880258532321e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.405 y[1] (analytic) = 1.1423951427159549651362105143414 y[1] (numeric) = 1.1423951427159549651362105143406 absolute error = 8e-31 relative error = 7.0028308952545322103035199419574e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.406 y[1] (analytic) = 1.1429811864270091176283064153028 y[1] (numeric) = 1.1429811864270091176283064153019 absolute error = 9e-31 relative error = 7.8741453550379508520345995122847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.407 y[1] (analytic) = 1.1435672005341710451030775702528 y[1] (numeric) = 1.1435672005341710451030775702519 absolute error = 9e-31 relative error = 7.8701102967941149043842772376297e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.408 y[1] (analytic) = 1.1441531850578045605275437422912 y[1] (numeric) = 1.1441531850578045605275437422903 absolute error = 9e-31 relative error = 7.8660795753020647554942358731466e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.154 Order of pole = 7.31e-28 TOP MAIN SOLVE Loop x[1] = 1.409 y[1] (analytic) = 1.144739140018252472419245736099 y[1] (numeric) = 1.1447391400182524724192457360981 absolute error = 9e-31 relative error = 7.8620531834497229570663940032430e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.41 y[1] (analytic) = 1.145325065435836613723304017679 y[1] (numeric) = 1.1453250654358366137233040176781 absolute error = 9e-31 relative error = 7.8580311141406674171411499070347e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.411 y[1] (analytic) = 1.1459109613308578706398689157389 y[1] (numeric) = 1.145910961330857870639868915738 absolute error = 9e-31 relative error = 7.8540133602940882102584376868628e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.412 y[1] (analytic) = 1.1464968277235962114020646374261 y[1] (numeric) = 1.1464968277235962114020646374252 absolute error = 9e-31 relative error = 7.8499999148447445307337190168614e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.413 y[1] (analytic) = 1.1470826646343107150045290854127 y[1] (numeric) = 1.1470826646343107150045290854118 absolute error = 9e-31 relative error = 7.8459907707429217884955508636319e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.414 y[1] (analytic) = 1.1476684720832395998826512182944 y[1] (numeric) = 1.1476684720832395998826512182936 absolute error = 8e-31 relative error = 6.9706541519594567528300571596609e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.415 y[1] (analytic) = 1.1482542500906002525426074519064 y[1] (numeric) = 1.1482542500906002525426074519055 absolute error = 9e-31 relative error = 7.8379853584603554022101221964703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.416 y[1] (analytic) = 1.1488399986765892561422983554642 y[1] (numeric) = 1.1488399986765892561422983554633 absolute error = 9e-31 relative error = 7.8339890762574295034843439925993e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.76 Order of pole = 4.27e-28 TOP MAIN SOLVE Loop memory used=160.2MB, alloc=4.4MB, time=18.66 x[1] = 1.417 y[1] (analytic) = 1.1494257178613824190232866534187 y[1] (numeric) = 1.1494257178613824190232866534178 absolute error = 9e-31 relative error = 7.8299970673575752135135945428235e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.418 y[1] (analytic) = 1.1500114076651348031938373015534 y[1] (numeric) = 1.1500114076651348031938373015525 absolute error = 9e-31 relative error = 7.8260093247880704090824302947598e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.964 Order of pole = 1.512e-26 TOP MAIN SOLVE Loop x[1] = 1.419 y[1] (analytic) = 1.1505970681079807527631601641616 y[1] (numeric) = 1.1505970681079807527631601641607 absolute error = 9e-31 relative error = 7.8220258415914647207253810222028e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.877 Order of pole = 5.38e-28 TOP MAIN SOLVE Loop x[1] = 1.42 y[1] (analytic) = 1.1511826992100339223269555781111 y[1] (numeric) = 1.1511826992100339223269555781102 absolute error = 9e-31 relative error = 7.8180466108255376112053180955754e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.421 y[1] (analytic) = 1.1517683009913873053043628492329 y[1] (numeric) = 1.151768300991387305304362849232 absolute error = 9e-31 relative error = 7.8140716255632565922135214486764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.422 y[1] (analytic) = 1.1523538734721132622264114867591 y[1] (numeric) = 1.1523538734721132622264114867582 absolute error = 9e-31 relative error = 7.8101008788927355787596568489857e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.423 y[1] (analytic) = 1.1529394166722635489760747424795 y[1] (numeric) = 1.1529394166722635489760747424786 absolute error = 9e-31 relative error = 7.8061343639171933807222129099737e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.424 y[1] (analytic) = 1.1535249306118693449800247828851 y[1] (numeric) = 1.1535249306118693449800247828842 absolute error = 9e-31 relative error = 7.8021720737549123310322735570352e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.425 y[1] (analytic) = 1.154110415310941281352188584817 y[1] (numeric) = 1.1541104153109412813521885848161 absolute error = 9e-31 relative error = 7.7982140015391970499658164373034e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.426 y[1] (analytic) = 1.1546958707894694689892034080398 y[1] (numeric) = 1.154695870789469468989203408039 absolute error = 8e-31 relative error = 6.9282312359274074177973609873439e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.427 y[1] (analytic) = 1.1552812970674235266178704617095 y[1] (numeric) = 1.1552812970674235266178704617086 absolute error = 9e-31 relative error = 7.7903104835555472458674428384598e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.428 y[1] (analytic) = 1.1558666941647526087947051458965 y[1] (numeric) = 1.1558666941647526087947051458956 absolute error = 9e-31 relative error = 7.7863650241289641738279084556090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.429 y[1] (analytic) = 1.15645206210138543385768201417 y[1] (numeric) = 1.1564520621013854338576820141691 absolute error = 9e-31 relative error = 7.7824237553315682454128202447466e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.43 y[1] (analytic) = 1.1570374008972303118302723687255 y[1] (numeric) = 1.1570374008972303118302723687246 absolute error = 9e-31 relative error = 7.7784866703711617093581119686991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.431 y[1] (analytic) = 1.1576227105721751722778721656622 y[1] (numeric) = 1.1576227105721751722778721656613 absolute error = 9e-31 relative error = 7.7745537624703245166769083458459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.432 y[1] (analytic) = 1.1582079911460875921167176747766 y[1] (numeric) = 1.1582079911460875921167176747757 absolute error = 9e-31 relative error = 7.7706250248663740232088953120639e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.433 y[1] (analytic) = 1.1587932426388148233753861056334 y[1] (numeric) = 1.1587932426388148233753861056325 absolute error = 9e-31 relative error = 7.7667004508113248241617134752037e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.895 Order of pole = 1.647e-27 TOP MAIN SOLVE Loop x[1] = 1.434 y[1] (analytic) = 1.1593784650701838209089781797073 y[1] (numeric) = 1.1593784650701838209089781797063 absolute error = 1.0e-30 relative error = 8.6253111484131652445998792100637e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.132 Order of pole = 1.345e-27 TOP MAIN SOLVE Loop x[1] = 1.435 y[1] (analytic) = 1.1599636584600012700660793970502 y[1] (numeric) = 1.1599636584600012700660793970493 absolute error = 9e-31 relative error = 7.7588637664292348141590377143336e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.436 y[1] (analytic) = 1.1605488228280536143085965152345 y[1] (numeric) = 1.1605488228280536143085965152336 absolute error = 9e-31 relative error = 7.7549516426793497391452065534800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.437 y[1] (analytic) = 1.1611339581941070827845655282406 y[1] (numeric) = 1.1611339581941070827845655282397 absolute error = 9e-31 relative error = 7.7510436556325980154215263033847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.438 y[1] (analytic) = 1.1617190645779077178540272035112 y[1] (numeric) = 1.1617190645779077178540272035102 absolute error = 1.0e-30 relative error = 8.6079331095709805974292892484632e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.439 y[1] (analytic) = 1.1623041419991814025680660065618 y[1] (numeric) = 1.1623041419991814025680660065608 absolute error = 1.0e-30 relative error = 8.6036000721806279899882471404398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.44 y[1] (analytic) = 1.1628891904776338881011080143391 y[1] (numeric) = 1.1628891904776338881011080143381 absolute error = 1.0e-30 relative error = 8.5992716089249195502382474619026e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.441 y[1] (analytic) = 1.1634742100329508211365731909298 y[1] (numeric) = 1.1634742100329508211365731909288 absolute error = 1.0e-30 relative error = 8.5949477124351466417543974386306e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.442 y[1] (analytic) = 1.1640592006847977712059771722623 y[1] (numeric) = 1.1640592006847977712059771722613 absolute error = 1.0e-30 relative error = 8.5906283753585357474049859780676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.443 y[1] (analytic) = 1.1646441624528202579815774800955 y[1] (numeric) = 1.1646441624528202579815774800945 absolute error = 1.0e-30 relative error = 8.5863135903582052772126227401123e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.444 y[1] (analytic) = 1.1652290953566437785226588598556 y[1] (numeric) = 1.1652290953566437785226588598547 absolute error = 9e-31 relative error = 7.7238030151018102651559565243891e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.445 y[1] (analytic) = 1.1658139994158738344755522117654 y[1] (numeric) = 1.1658139994158738344755522117644 absolute error = 1.0e-30 relative error = 8.5776976473180607161656798602968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.446 y[1] (analytic) = 1.1663988746500959592274813602002 y[1] (numeric) = 1.1663988746500959592274813601992 absolute error = 1.0e-30 relative error = 8.5733964746835563174189812726966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.447 y[1] (analytic) = 1.1669837210788757450143316823114 y[1] (numeric) = 1.1669837210788757450143316823103 absolute error = 1.1e-30 relative error = 9.4260098074294529545769086056009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.448 y[1] (analytic) = 1.1675685387217588699824343936626 y[1] (numeric) = 1.1675685387217588699824343936615 absolute error = 1.1e-30 relative error = 9.4212884598986183776433889566392e-29 % Correct digits = 30 h = 0.001 memory used=164.0MB, alloc=4.4MB, time=19.11 Complex estimate of poles used for equation 1 Radius of convergence = 2.713 Order of pole = 6.187e-27 TOP MAIN SOLVE Loop x[1] = 1.449 y[1] (analytic) = 1.1681533275982711252044600659458 y[1] (numeric) = 1.1681533275982711252044600659448 absolute error = 1.0e-30 relative error = 8.5605200650843055197039684670140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.45 y[1] (analytic) = 1.1687380877279184416495147297588 y[1] (numeric) = 1.1687380877279184416495147297578 absolute error = 1.0e-30 relative error = 8.5562369405111697535352911329841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.451 y[1] (analytic) = 1.169322819130186917107531693951 y[1] (numeric) = 1.1693228191301869171075316939499 absolute error = 1.1e-30 relative error = 9.4071541408748575902409986129639e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.452 y[1] (analytic) = 1.1699075218245428430680519921655 y[1] (numeric) = 1.1699075218245428430680519921644 absolute error = 1.1e-30 relative error = 9.4024525826150963053070247662890e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.863 Order of pole = 1.432e-26 TOP MAIN SOLVE Loop x[1] = 1.453 y[1] (analytic) = 1.170492195830432731553486146927 y[1] (numeric) = 1.1704921958304327315534861469259 absolute error = 1.1e-30 relative error = 9.3977559518846649416601922440912e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.454 y[1] (analytic) = 1.1710768411672833419069497219402 y[1] (numeric) = 1.1710768411672833419069497219391 absolute error = 1.1e-30 relative error = 9.3930642408021941431697592952724e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.455 y[1] (analytic) = 1.1716614578545017075347649141792 y[1] (numeric) = 1.1716614578545017075347649141781 absolute error = 1.1e-30 relative error = 9.3883774415032374366605251465226e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.456 y[1] (analytic) = 1.1722460459114751626037202188505 y[1] (numeric) = 1.1722460459114751626037202188494 absolute error = 1.1e-30 relative error = 9.3836955461402256863728916134279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.457 y[1] (analytic) = 1.1728306053575713686931799824108 y[1] (numeric) = 1.1728306053575713686931799824097 absolute error = 1.1e-30 relative error = 9.3790185468824216956655325581050e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.458 y[1] (analytic) = 1.1734151362121383414021354415052 y[1] (numeric) = 1.1734151362121383414021354415041 absolute error = 1.1e-30 relative error = 9.3743464359158749554051998597768e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.459 y[1] (analytic) = 1.1739996384945044769112886289664 y[1] (numeric) = 1.1739996384945044769112886289653 absolute error = 1.1e-30 relative error = 9.3696792054433765384905890577281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.46 y[1] (analytic) = 1.1745841122239785785002603118738 y[1] (numeric) = 1.1745841122239785785002603118728 absolute error = 1.0e-30 relative error = 8.5136516797131037635996097370882e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 17.4 Order of pole = 6.752e-26 TOP MAIN SOLVE Loop x[1] = 1.461 y[1] (analytic) = 1.1751685574198498830200129111164 y[1] (numeric) = 1.1751685574198498830200129111153 absolute error = 1.1e-30 relative error = 9.3603593548751272621314648564047e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.915 Order of pole = 3.424e-26 TOP MAIN SOLVE Loop x[1] = 1.462 y[1] (analytic) = 1.1757529741013880873205791369256 y[1] (numeric) = 1.1757529741013880873205791369245 absolute error = 1.1e-30 relative error = 9.3557067192682625442383958073100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.463 y[1] (analytic) = 1.1763373622878433746341868604564 y[1] (numeric) = 1.1763373622878433746341868604554 absolute error = 1.0e-30 relative error = 8.5009626664846629418201026885846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.464 y[1] (analytic) = 1.1769217219984464409138705276743 y[1] (numeric) = 1.1769217219984464409138705276733 absolute error = 1.0e-30 relative error = 8.4967418079595952860136366735359e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.939 Order of pole = 2.412e-27 TOP MAIN SOLVE Loop x[1] = 1.465 y[1] (analytic) = 1.1775060532524085211276592085704 y[1] (numeric) = 1.1775060532524085211276592085694 absolute error = 1.0e-30 relative error = 8.4925253440344006768966576920345e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.466 y[1] (analytic) = 1.1780903560689214155084311620653 y[1] (numeric) = 1.1780903560689214155084311620643 absolute error = 1.0e-30 relative error = 8.4883132677261076181064331298486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.467 y[1] (analytic) = 1.1786746304671575157595245848709 y[1] (numeric) = 1.1786746304671575157595245848699 absolute error = 1.0e-30 relative error = 8.4841055720666409164264508284700e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.468 y[1] (analytic) = 1.179258876466269831216194001063 y[1] (numeric) = 1.1792588764662698312161940010619 absolute error = 1.1e-30 relative error = 9.3278924751130600351964002480961e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.469 y[1] (analytic) = 1.1798430940853920149630015381701 y[1] (numeric) = 1.179843094085392014963001538169 absolute error = 1.1e-30 relative error = 9.3232736243857413121089940417211e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.47 y[1] (analytic) = 1.1804272833436383899072321252056 y[1] (numeric) = 1.1804272833436383899072321252045 absolute error = 1.1e-30 relative error = 9.3186595694753616004416477377786e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.471 y[1] (analytic) = 1.1810114442601039748084214382553 y[1] (numeric) = 1.1810114442601039748084214382543 absolute error = 1.0e-30 relative error = 8.4673184570746774350022015698214e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.319 Order of pole = 7.766e-27 TOP MAIN SOLVE Loop x[1] = 1.472 y[1] (analytic) = 1.181595576853864510264085209989 y[1] (numeric) = 1.181595576853864510264085209988 absolute error = 1.0e-30 relative error = 8.4631325606568041693435931502943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.473 y[1] (analytic) = 1.1821796811439764846517383107746 y[1] (numeric) = 1.1821796811439764846517383107736 absolute error = 1.0e-30 relative error = 8.4589510033899068264315961425904e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.474 y[1] (analytic) = 1.1827637571494771600272918009568 y[1] (numeric) = 1.1827637571494771600272918009558 absolute error = 1.0e-30 relative error = 8.4547737784090761811618446228068e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.475 y[1] (analytic) = 1.1833478048893845979799159462934 y[1] (numeric) = 1.1833478048893845979799159462924 absolute error = 1.0e-30 relative error = 8.4506008788639842142833190442169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.476 y[1] (analytic) = 1.1839318243826976854434569815402 y[1] (numeric) = 1.1839318243826976854434569815392 absolute error = 1.0e-30 relative error = 8.4464322979188452909866186835835e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.477 y[1] (analytic) = 1.1845158156483961604644952007258 y[1] (numeric) = 1.1845158156483961604644952007247 absolute error = 1.1e-30 relative error = 9.2864948316276152100166560182328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.478 y[1] (analytic) = 1.1850997787054406379271317467635 y[1] (numeric) = 1.1850997787054406379271317467624 absolute error = 1.1e-30 relative error = 9.2819188710135402881193735632647e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.964 Order of pole = 3.160e-27 TOP MAIN SOLVE Loop x[1] = 1.479 y[1] (analytic) = 1.1856837135727726352345912677067 y[1] (numeric) = 1.1856837135727726352345912677056 absolute error = 1.1e-30 relative error = 9.2773476383968758666486038597078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=167.8MB, alloc=4.4MB, time=19.55 TOP MAIN SOLVE Loop x[1] = 1.48 y[1] (analytic) = 1.1862676202693145979477274021629 y[1] (numeric) = 1.1862676202693145979477274021618 absolute error = 1.1e-30 relative error = 9.2727811263218199271993651873644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.481 y[1] (analytic) = 1.186851498813969925380517852144 y[1] (numeric) = 1.1868514988139699253805178521429 absolute error = 1.1e-30 relative error = 9.2682193273483555949541259591179e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.482 y[1] (analytic) = 1.1874353492256229961526355979355 y[1] (numeric) = 1.1874353492256229961526355979344 absolute error = 1.1e-30 relative error = 9.2636622340522092469786518921551e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.483 y[1] (analytic) = 1.1880191715231391936991826064241 y[1] (numeric) = 1.188019171523139193699182606423 absolute error = 1.1e-30 relative error = 9.2591098390248087540671455132617e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.484 y[1] (analytic) = 1.1886029657253649317376721817203 y[1] (numeric) = 1.1886029657253649317376721817192 absolute error = 1.1e-30 relative error = 9.2545621348732418556398479005472e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.485 y[1] (analytic) = 1.1891867318511276796923459048556 y[1] (numeric) = 1.1891867318511276796923459048545 absolute error = 1.1e-30 relative error = 9.2500191142202146671983846259880e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.486 y[1] (analytic) = 1.1897704699192359880759109078169 y[1] (numeric) = 1.1897704699192359880759109078158 absolute error = 1.1e-30 relative error = 9.2454807697040103198462398276604e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.93 Order of pole = 4.862e-27 TOP MAIN SOLVE Loop x[1] = 1.487 y[1] (analytic) = 1.1903541799484795138287830262051 y[1] (numeric) = 1.190354179948479513828783026204 absolute error = 1.1e-30 relative error = 9.2409470939784477313838342610569e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.488 y[1] (analytic) = 1.1909378619576290456159211743645 y[1] (numeric) = 1.1909378619576290456159211743634 absolute error = 1.1e-30 relative error = 9.2364180797128405084897651087771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.489 y[1] (analytic) = 1.1915215159654365290813380869293 y[1] (numeric) = 1.1915215159654365290813380869282 absolute error = 1.1e-30 relative error = 9.2318937195919559795018373201114e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.184 Order of pole = 8.606e-27 TOP MAIN SOLVE Loop x[1] = 1.49 y[1] (analytic) = 1.1921051419906350920603723713662 y[1] (numeric) = 1.1921051419906350920603723713652 absolute error = 1.0e-30 relative error = 8.3885218239236130521032530539099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.491 y[1] (analytic) = 1.1926887400519390697498066172578 y[1] (numeric) = 1.1926887400519390697498066172567 absolute error = 1.1e-30 relative error = 9.2228589326004480319039805159400e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.492 y[1] (analytic) = 1.193272310168044029835916109769 y[1] (numeric) = 1.1932723101680440298359161097679 absolute error = 1.1e-30 relative error = 9.2183484911762609920202574251525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.493 y[1] (analytic) = 1.1938558523576267975805324969702 y[1] (numeric) = 1.1938558523576267975805324969691 absolute error = 1.1e-30 relative error = 9.2138426747895883755354342105471e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.494 y[1] (analytic) = 1.1944393666393454808652065634426 y[1] (numeric) = 1.1944393666393454808652065634414 absolute error = 1.2e-30 relative error = 1.0046554337674752161459578637591e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.495 Order of pole = 2.049e-27 TOP MAIN SOLVE Loop x[1] = 1.495 y[1] (analytic) = 1.1950228530318394951935540658782 y[1] (numeric) = 1.195022853031839495193554065877 absolute error = 1.2e-30 relative error = 1.0041648968934219173395390947591e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.496 y[1] (analytic) = 1.195606311553729588651868390197 y[1] (numeric) = 1.1956063115537295886518683901958 absolute error = 1.2e-30 relative error = 1.0036748622049014354952323765677e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.497 y[1] (analytic) = 1.1961897422236178668280835940316 y[1] (numeric) = 1.1961897422236178668280835940305 absolute error = 1.1e-30 relative error = 9.1958655150744806921117272301585e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.498 y[1] (analytic) = 1.1967731450600878176891712032912 y[1] (numeric) = 1.19677314506008781768917120329 absolute error = 1.2e-30 relative error = 1.0026962962473144129194879049485e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.499 y[1] (analytic) = 1.1973565200817043364170539368861 y[1] (numeric) = 1.1973565200817043364170539368849 absolute error = 1.2e-30 relative error = 1.0022077634137869644191328657209e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.5 y[1] (analytic) = 1.1979398673070137502031193395952 y[1] (numeric) = 1.197939867307013750203119339594 absolute error = 1.2e-30 relative error = 1.0017197296368618719254396836305e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.501 y[1] (analytic) = 1.1985231867545438430014161094644 y[1] (numeric) = 1.1985231867545438430014161094632 absolute error = 1.2e-30 relative error = 1.0012321941384006003685866805903e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.502 y[1] (analytic) = 1.1991064784428038802406157130581 y[1] (numeric) = 1.199106478442803880240615713057 absolute error = 1.1e-30 relative error = 9.1734972646340251160275854276880e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9623 Order of pole = 2.993e-27 TOP MAIN SOLVE Loop x[1] = 1.503 y[1] (analytic) = 1.1996897423902846334948216893253 y[1] (numeric) = 1.1996897423902846334948216893242 absolute error = 1.1e-30 relative error = 9.1690373029975158666475170980647e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.065 Order of pole = 1.130e-26 TOP MAIN SOLVE Loop x[1] = 1.504 y[1] (analytic) = 1.2002729786154584051133088507971 y[1] (numeric) = 1.200272978615458405113308850796 absolute error = 1.1e-30 relative error = 9.1645818876042221854675361197261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.505 y[1] (analytic) = 1.2008561871367790528092743993026 y[1] (numeric) = 1.2008561871367790528092743993015 absolute error = 1.1e-30 relative error = 9.1601310113807041214457152623288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.506 y[1] (analytic) = 1.2014393679726820142076827823633 y[1] (numeric) = 1.2014393679726820142076827823622 absolute error = 1.1e-30 relative error = 9.1556846672682985227926807631879e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.507 y[1] (analytic) = 1.2020225211415843313522859259128 y[1] (numeric) = 1.2020225211415843313522859259118 absolute error = 1.0e-30 relative error = 8.3193116802028003088032192998604e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.508 y[1] (analytic) = 1.2026056466618846751719002889816 y[1] (numeric) = 1.2026056466618846751719002889805 absolute error = 1.1e-30 relative error = 9.1468055472158240487094126180727e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.509 y[1] (analytic) = 1.2031887445519633699060219964801 y[1] (numeric) = 1.203188744551963369906021996479 absolute error = 1.1e-30 relative error = 9.1423727572319651986216009318032e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.983 Order of pole = 2.032e-27 TOP MAIN SOLVE Loop x[1] = 1.51 y[1] (analytic) = 1.2037718148301824174898611172196 y[1] (numeric) = 1.2037718148301824174898611172185 absolute error = 1.1e-30 relative error = 9.1379444712715620769233793040335e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.511 memory used=171.6MB, alloc=4.4MB, time=20.01 y[1] (analytic) = 1.2043548575148855218988759658076 y[1] (numeric) = 1.2043548575148855218988759658065 absolute error = 1.1e-30 relative error = 9.1335206823492574968661622835906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.512 y[1] (analytic) = 1.204937872624398113452888119063 y[1] (numeric) = 1.2049378726243981134528881190619 absolute error = 1.1e-30 relative error = 9.1291013834942407044087375182886e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.513 y[1] (analytic) = 1.2055208601770273730798586500962 y[1] (numeric) = 1.205520860177027373079858650095 absolute error = 1.2e-30 relative error = 9.9542035284547738960364330579153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.514 y[1] (analytic) = 1.2061038201910622565394058962021 y[1] (numeric) = 1.2061038201910622565394058962009 absolute error = 1.2e-30 relative error = 9.9493922489185438992523451253804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.515 y[1] (analytic) = 1.20668675268477351860614489021 y[1] (numeric) = 1.2066867526847735186061448902088 absolute error = 1.2e-30 relative error = 9.9445858449187738823323958140186e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.516 y[1] (analytic) = 1.2072696576764137372129283989267 y[1] (numeric) = 1.2072696576764137372129283989255 absolute error = 1.2e-30 relative error = 9.9397843089140054056018181142648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.517 y[1] (analytic) = 1.2078525351842173375540693267933 y[1] (numeric) = 1.2078525351842173375540693267921 absolute error = 1.2e-30 relative error = 9.9349876333784430311655710536442e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.37 Order of pole = 4.162e-27 TOP MAIN SOLVE Loop x[1] = 1.518 y[1] (analytic) = 1.2084353852264006161486240578554 y[1] (numeric) = 1.2084353852264006161486240578541 absolute error = 1.3e-30 relative error = 1.0757712128368739670584696949831e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.519 y[1] (analytic) = 1.2090182078211617648638161246107 y[1] (numeric) = 1.2090182078211617648638161246094 absolute error = 1.3e-30 relative error = 1.0752526236497310729823758226046e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.52 y[1] (analytic) = 1.209601002986680894898679408258 y[1] (numeric) = 1.2096010029866808948986794082567 absolute error = 1.3e-30 relative error = 1.0747345585776721636380103164016e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.521 y[1] (analytic) = 1.2101837707411200607279998913111 y[1] (numeric) = 1.2101837707411200607279998913098 absolute error = 1.3e-30 relative error = 1.0742170168121459927240070998968e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.522 y[1] (analytic) = 1.2107665111026232840066348004745 y[1] (numeric) = 1.2107665111026232840066348004732 absolute error = 1.3e-30 relative error = 1.0736999975462761871961665203719e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.523 y[1] (analytic) = 1.21134922408931657743428779509 y[1] (numeric) = 1.2113492240893165774342877950887 absolute error = 1.3e-30 relative error = 1.0731834999748568979339154634078e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.524 y[1] (analytic) = 1.2119319097193079685808186743621 y[1] (numeric) = 1.2119319097193079685808186743608 absolute error = 1.3e-30 relative error = 1.0726675232943484639750699158983e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.525 y[1] (analytic) = 1.2125145680106875236721658949469 y[1] (numeric) = 1.2125145680106875236721658949456 absolute error = 1.3e-30 relative error = 1.0721520667028730902695030186616e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.526 y[1] (analytic) = 1.2130971989815273713369600093516 y[1] (numeric) = 1.2130971989815273713369600093502 absolute error = 1.4e-30 relative error = 1.1540707547386882726642600121101e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.527 y[1] (analytic) = 1.213679802649881726313905954927 y[1] (numeric) = 1.2136798026498817263139059549256 absolute error = 1.4e-30 relative error = 1.1535167652483933594112341692733e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.528 y[1] (analytic) = 1.2142623790337869131200119430536 y[1] (numeric) = 1.2142623790337869131200119430522 absolute error = 1.4e-30 relative error = 1.1529633332739899767808851184015e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.529 y[1] (analytic) = 1.2148449281512613896797425184098 y[1] (numeric) = 1.2148449281512613896797425184084 absolute error = 1.4e-30 relative error = 1.1524104579590299714760373387236e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.53 y[1] (analytic) = 1.2154274500203057709151731789812 y[1] (numeric) = 1.2154274500203057709151731789798 absolute error = 1.4e-30 relative error = 1.1518581384488318348527344760012e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.531 y[1] (analytic) = 1.2160099446589028522972237687052 y[1] (numeric) = 1.2160099446589028522972237687038 absolute error = 1.4e-30 relative error = 1.1513063738904761344415381853131e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.532 y[1] (analytic) = 1.2165924120850176333580476763583 y[1] (numeric) = 1.2165924120850176333580476763569 absolute error = 1.4e-30 relative error = 1.1507551634328009596614103290372e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.533 y[1] (analytic) = 1.2171748523165973411646536964746 y[1] (numeric) = 1.2171748523165973411646536964732 absolute error = 1.4e-30 relative error = 1.1502045062263973816747236093081e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.534 y[1] (analytic) = 1.217757265371571453753837230733 y[1] (numeric) = 1.2177572653715714537538372307316 absolute error = 1.4e-30 relative error = 1.1496544014236049273321588916031e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.903 Order of pole = 8.934e-27 TOP MAIN SOLVE Loop x[1] = 1.535 y[1] (analytic) = 1.2183396512678517235284973313695 y[1] (numeric) = 1.2183396512678517235284973313681 absolute error = 1.4e-30 relative error = 1.1491048481785070671564596601710e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.265 Order of pole = 1.500e-27 TOP MAIN SOLVE Loop x[1] = 1.536 y[1] (analytic) = 1.2189220100233322006154159117548 y[1] (numeric) = 1.2189220100233322006154159117534 absolute error = 1.4e-30 relative error = 1.1485558456469267173142252419383e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.537 y[1] (analytic) = 1.2195043416558892561845752733261 y[1] (numeric) = 1.2195043416558892561845752733247 absolute error = 1.4e-30 relative error = 1.1480073929864217555251346483936e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.538 y[1] (analytic) = 1.220086646183381605730089922573 y[1] (numeric) = 1.2200866461833816057300899225716 absolute error = 1.4e-30 relative error = 1.1474594893562805508582021198629e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.539 y[1] (analytic) = 1.220668923623650332312828476754 y[1] (numeric) = 1.2206689236236503323128284767526 absolute error = 1.4e-30 relative error = 1.1469121339175175073648737185816e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.54 y[1] (analytic) = 1.2212511739945189097648012824525 y[1] (numeric) = 1.2212511739945189097648012824511 absolute error = 1.4e-30 relative error = 1.1463653258328686214989816110911e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.541 y[1] (analytic) = 1.2218333973137932258553891969767 y[1] (numeric) = 1.2218333973137932258553891969753 absolute error = 1.4e-30 relative error = 1.1458190642667870532737790117070e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.542 y[1] (analytic) = 1.2224155935992616054194888089597 y[1] (numeric) = 1.2224155935992616054194888089583 absolute error = 1.4e-30 relative error = 1.1452733483854387111064841321160e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.212 Order of pole = 3.6e-29 memory used=175.4MB, alloc=4.4MB, time=20.46 TOP MAIN SOLVE Loop x[1] = 1.543 y[1] (analytic) = 1.2229977628686948334476492013249 y[1] (numeric) = 1.2229977628686948334476492013235 absolute error = 1.4e-30 relative error = 1.1447281773566978503009659024818e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.544 y[1] (analytic) = 1.2235799051398461781382751870446 y[1] (numeric) = 1.2235799051398461781382751870431 absolute error = 1.5e-30 relative error = 1.2259109468037243054850796803850e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.545 y[1] (analytic) = 1.2241620204304514139119717758397 y[1] (numeric) = 1.2241620204304514139119717758383 absolute error = 1.4e-30 relative error = 1.1436394665370510143939878634552e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.546 y[1] (analytic) = 1.2247441087582288443881044581373 y[1] (numeric) = 1.2247441087582288443881044581359 absolute error = 1.4e-30 relative error = 1.1430959250903958606298173156724e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.547 y[1] (analytic) = 1.2253261701408793253236497212237 y[1] (numeric) = 1.2253261701408793253236497212223 absolute error = 1.4e-30 relative error = 1.1425529251848411225505753677843e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.548 y[1] (analytic) = 1.2259082045960862875144100416046 y[1] (numeric) = 1.2259082045960862875144100416032 absolute error = 1.4e-30 relative error = 1.1420104659967372410384843892834e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.549 y[1] (analytic) = 1.226490212141515759658667427102 y[1] (numeric) = 1.2264902121415157596586674271006 absolute error = 1.4e-30 relative error = 1.1414685467041168784204629272249e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.55 y[1] (analytic) = 1.2270721927948163911833494121853 y[1] (numeric) = 1.2270721927948163911833494121839 absolute error = 1.4e-30 relative error = 1.1409271664866906110524946959829e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.551 y[1] (analytic) = 1.2276541465736194750327812404472 y[1] (numeric) = 1.2276541465736194750327812404458 absolute error = 1.4e-30 relative error = 1.1403863245258426351544478434752e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.552 y[1] (analytic) = 1.2282360734955389704200977989934 y[1] (numeric) = 1.2282360734955389704200977989921 absolute error = 1.3e-30 relative error = 1.0584284471471531654300767479022e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.553 y[1] (analytic) = 1.228817973578171525541388700816 y[1] (numeric) = 1.2288179735781715255413887008146 absolute error = 1.4e-30 relative error = 1.1393062521077607693487194461716e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.74 Order of pole = 6.795e-26 TOP MAIN SOLVE Loop x[1] = 1.554 y[1] (analytic) = 1.2293998468390965002526497429614 y[1] (numeric) = 1.22939984683909650025264974296 absolute error = 1.4e-30 relative error = 1.1387670200216249082698481322704e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.555 y[1] (analytic) = 1.2299816932958759887096138004922 y[1] (numeric) = 1.2299816932958759887096138004908 absolute error = 1.4e-30 relative error = 1.1382283229342548999829233607613e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.556 y[1] (analytic) = 1.23056351296605484197053404886 y[1] (numeric) = 1.2305635129660548419705340488586 absolute error = 1.4e-30 relative error = 1.1376901600353390879963202627426e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.3937 Order of pole = 1.841e-27 TOP MAIN SOLVE Loop x[1] = 1.557 y[1] (analytic) = 1.2311453058671606905619922403716 y[1] (numeric) = 1.2311453058671606905619922403701 absolute error = 1.5e-30 relative error = 1.2183777112673720853218426791885e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.558 y[1] (analytic) = 1.231727072016703967007804593926 y[1] (numeric) = 1.2317270720167039670078045939245 absolute error = 1.5e-30 relative error = 1.2178022502534212963939276451842e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.559 y[1] (analytic) = 1.2323088114321779283210976911366 y[1] (numeric) = 1.2323088114321779283210976911351 absolute error = 1.5e-30 relative error = 1.2172273589902468056733176021699e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.56 y[1] (analytic) = 1.2328905241310586784596266063164 y[1] (numeric) = 1.232890524131058678459626606315 absolute error = 1.4e-30 relative error = 1.1355428341755810727754846670565e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.561 y[1] (analytic) = 1.2334722101308051907444073326092 y[1] (numeric) = 1.2334722101308051907444073326077 absolute error = 1.5e-30 relative error = 1.2160792822733562173418659130508e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.562 y[1] (analytic) = 1.2340538694488593302417354017777 y[1] (numeric) = 1.2340538694488593302417354017762 absolute error = 1.5e-30 relative error = 1.2155060951025702332995263997996e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.563 y[1] (analytic) = 1.2346355021026458761086624308277 y[1] (numeric) = 1.2346355021026458761086624308262 absolute error = 1.5e-30 relative error = 1.2149334742484118921132649360017e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.564 y[1] (analytic) = 1.235217108109572543902002164733 y[1] (numeric) = 1.2352171081095725439020021647315 absolute error = 1.5e-30 relative error = 1.2143614188566916530429300971374e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.565 y[1] (analytic) = 1.2357986874870300078509374210518 y[1] (numeric) = 1.2357986874870300078509374210503 absolute error = 1.5e-30 relative error = 1.2137899280749501895208505279616e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.566 y[1] (analytic) = 1.2363802402523919230932991791669 y[1] (numeric) = 1.2363802402523919230932991791653 absolute error = 1.6e-30 relative error = 1.2941002677892842615610785672914e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.567 y[1] (analytic) = 1.236961766423014947875588894257 y[1] (numeric) = 1.2369617664230149478755888942554 absolute error = 1.6e-30 relative error = 1.2934918794028704037218376401336e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.568 y[1] (analytic) = 1.2375432660162387657168149539016 y[1] (numeric) = 1.2375432660162387657168149539 absolute error = 1.6e-30 relative error = 1.2928840905502573015936535355217e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.569 y[1] (analytic) = 1.2381247390493861075362140334394 y[1] (numeric) = 1.2381247390493861075362140334378 absolute error = 1.6e-30 relative error = 1.2922769003294905280410219123167e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.57 y[1] (analytic) = 1.238706185539762773744927944843 y[1] (numeric) = 1.2387061855397627737449279448414 absolute error = 1.6e-30 relative error = 1.2916703078404379258638159425732e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.308 Order of pole = 4.468e-27 TOP MAIN SOLVE Loop x[1] = 1.571 y[1] (analytic) = 1.239287605504657656301706412932 y[1] (numeric) = 1.2392876055046576563017064129304 absolute error = 1.6e-30 relative error = 1.2910643121847849919212673676497e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.572 y[1] (analytic) = 1.2398689989613427607327060522274 y[1] (numeric) = 1.2398689989613427607327060522258 absolute error = 1.6e-30 relative error = 1.2904589124660302753031502071494e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.117 Order of pole = 5.4e-29 TOP MAIN SOLVE Loop x[1] = 1.573 y[1] (analytic) = 1.2404503659270732281154556576478 y[1] (numeric) = 1.2404503659270732281154556576462 absolute error = 1.6e-30 relative error = 1.2898541077894807894982764149143e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.067 Order of pole = 2.627e-27 TOP MAIN SOLVE Loop memory used=179.2MB, alloc=4.4MB, time=20.90 x[1] = 1.574 y[1] (analytic) = 1.2410317064190873570270577625636 y[1] (numeric) = 1.241031706419087357027057762562 absolute error = 1.6e-30 relative error = 1.2892498972622474385106152698965e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.575 y[1] (analytic) = 1.2416130204546066254566962584544 y[1] (numeric) = 1.2416130204546066254566962584528 absolute error = 1.6e-30 relative error = 1.2886462799932404568735498589916e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.576 y[1] (analytic) = 1.2421943080508357126825197115606 y[1] (numeric) = 1.2421943080508357126825197115591 absolute error = 1.5e-30 relative error = 1.2075405516498420595434231173484e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.577 y[1] (analytic) = 1.2427755692249625211129698534778 y[1] (numeric) = 1.2427755692249625211129698534763 absolute error = 1.5e-30 relative error = 1.2069757703198586838220793332954e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.578 y[1] (analytic) = 1.2433568039941581980926245646103 y[1] (numeric) = 1.2433568039941581980926245646088 absolute error = 1.5e-30 relative error = 1.2064115426733512428272109449574e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.579 y[1] (analytic) = 1.2439380123755771576726245117838 y[1] (numeric) = 1.2439380123755771576726245117823 absolute error = 1.5e-30 relative error = 1.2058478678816280800296210256429e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.58 y[1] (analytic) = 1.2445191943863571023457524441035 y[1] (numeric) = 1.244519194386357102345752444102 absolute error = 1.5e-30 relative error = 1.2052847451176632301701574551323e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.581 y[1] (analytic) = 1.2451003500436190447462339943436 y[1] (numeric) = 1.2451003500436190447462339943421 absolute error = 1.5e-30 relative error = 1.2047221735560922214863055313380e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.582 y[1] (analytic) = 1.2456814793644673293143286767593 y[1] (numeric) = 1.2456814793644673293143286767578 absolute error = 1.5e-30 relative error = 1.2041601523732078906487473284748e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.583 y[1] (analytic) = 1.246262582365989653925779616223 y[1] (numeric) = 1.2462625823659896539257796162215 absolute error = 1.5e-30 relative error = 1.2035986807469562103629751687551e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.584 y[1] (analytic) = 1.2468436590652570914861903880013 y[1] (numeric) = 1.2468436590652570914861903879998 absolute error = 1.5e-30 relative error = 1.2030377578569321295912279414061e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.585 y[1] (analytic) = 1.2474247094793241114903971923104 y[1] (numeric) = 1.2474247094793241114903971923089 absolute error = 1.5e-30 relative error = 1.2024773828843754263501995458639e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.961 Order of pole = 3.217e-27 TOP MAIN SOLVE Loop x[1] = 1.586 y[1] (analytic) = 1.2480057336252286015469044330067 y[1] (numeric) = 1.2480057336252286015469044330052 absolute error = 1.5e-30 relative error = 1.2019175550121665730401484594898e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.587 y[1] (analytic) = 1.2485867315199918888674516153949 y[1] (numeric) = 1.2485867315199918888674516153934 absolute error = 1.5e-30 relative error = 1.2013582734248226142612163381983e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.588 y[1] (analytic) = 1.2491677031806187617217793241552 y[1] (numeric) = 1.2491677031806187617217793241537 absolute error = 1.5e-30 relative error = 1.2007995373084930570729416551126e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.589 y[1] (analytic) = 1.2497486486240974908576618888161 y[1] (numeric) = 1.2497486486240974908576618888146 absolute error = 1.5e-30 relative error = 1.2002413458509557736531316718371e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.59 y[1] (analytic) = 1.2503295678673998508862741910164 y[1] (numeric) = 1.2503295678673998508862741910148 absolute error = 1.6e-30 relative error = 1.2796626114577204440665946914547e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.591 y[1] (analytic) = 1.2509104609274811416329599150158 y[1] (numeric) = 1.2509104609274811416329599150143 absolute error = 1.5e-30 relative error = 1.1991265936714868448211128837913e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.453 Order of pole = 2.298e-26 TOP MAIN SOLVE Loop x[1] = 1.592 y[1] (analytic) = 1.2514913278212802094534683905271 y[1] (numeric) = 1.2514913278212802094534683905255 absolute error = 1.6e-30 relative error = 1.2784747000887638037384016806177e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.593 y[1] (analytic) = 1.252072168565719468515727024943 y[1] (numeric) = 1.2520721685657194685157270249414 absolute error = 1.6e-30 relative error = 1.2778816111157879312700731509200e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.594 y[1] (analytic) = 1.2526529831777049220472161704362 y[1] (numeric) = 1.2526529831777049220472161704347 absolute error = 1.5e-30 relative error = 1.1974585301308508720873122208764e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.595 y[1] (analytic) = 1.2532337716741261835480131201952 y[1] (numeric) = 1.2532337716741261835480131201937 absolute error = 1.5e-30 relative error = 1.1969035896600778331782878456235e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.596 y[1] (analytic) = 1.2538145340718564979695717772426 y[1] (numeric) = 1.2538145340718564979695717772411 absolute error = 1.5e-30 relative error = 1.1963491882077948037142850257444e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.597 y[1] (analytic) = 1.2543952703877527628593043888534 y[1] (numeric) = 1.2543952703877527628593043888519 absolute error = 1.5e-30 relative error = 1.1957953249746605461345813447645e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.598 y[1] (analytic) = 1.2549759806386555494710315895493 y[1] (numeric) = 1.2549759806386555494710315895478 absolute error = 1.5e-30 relative error = 1.1952419991629258627513709895200e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.599 y[1] (analytic) = 1.2555566648413891238413668459917 y[1] (numeric) = 1.2555566648413891238413668459902 absolute error = 1.5e-30 relative error = 1.1946892099764296200296358259732e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.534 Order of pole = 8.892e-27 TOP MAIN SOLVE Loop x[1] = 1.6 y[1] (analytic) = 1.256137323012761467832101247829 y[1] (numeric) = 1.2561373230127614678321012478276 absolute error = 1.4e-30 relative error = 1.1145278261792217991426022853878e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.601 y[1] (analytic) = 1.2567179551695643001386544396734 y[1] (numeric) = 1.2567179551695643001386544396719 absolute error = 1.5e-30 relative error = 1.1935852383024244723323144640094e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.602 y[1] (analytic) = 1.2572985613285730972646573408808 y[1] (numeric) = 1.2572985613285730972646573408793 absolute error = 1.5e-30 relative error = 1.1930340542304980063198164257171e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.603 y[1] (analytic) = 1.2578791415065471144627321516976 y[1] (numeric) = 1.2578791415065471144627321516961 absolute error = 1.5e-30 relative error = 1.1924834036149669905800122434004e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.604 y[1] (analytic) = 1.2584596957202294066415349966 y[1] (numeric) = 1.2584596957202294066415349965985 absolute error = 1.5e-30 relative error = 1.1919332856675513925834265440476e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.605 y[1] (analytic) = 1.2590402239863468492391264083022 y[1] (numeric) = 1.2590402239863468492391264083008 absolute error = 1.4e-30 relative error = 1.1119581196280999294324848837002e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=183.1MB, alloc=4.4MB, time=21.35 TOP MAIN SOLVE Loop x[1] = 1.606 y[1] (analytic) = 1.2596207263216101590627347089359 y[1] (numeric) = 1.2596207263216101590627347089345 absolute error = 1.4e-30 relative error = 1.1114456683229804062632252906320e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.607 y[1] (analytic) = 1.2602012027427139150949771983081 y[1] (numeric) = 1.2602012027427139150949771983066 absolute error = 1.5e-30 relative error = 1.1902861199746403160075903096313e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.577 Order of pole = 3.643e-26 TOP MAIN SOLVE Loop x[1] = 1.608 y[1] (analytic) = 1.2607816532663365792666039129296 y[1] (numeric) = 1.2607816532663365792666039129282 absolute error = 1.4e-30 relative error = 1.1104222498582424536845870116075e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.609 y[1] (analytic) = 1.261362077909140517195828573664 y[1] (numeric) = 1.2613620779091405171958285736626 absolute error = 1.4e-30 relative error = 1.1099112812402514331590714755165e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.254 Order of pole = 5.363e-27 TOP MAIN SOLVE Loop x[1] = 1.61 y[1] (analytic) = 1.2619424766877720188943111943805 y[1] (numeric) = 1.2619424766877720188943111943791 absolute error = 1.4e-30 relative error = 1.1094008053953365528131050340862e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.611 y[1] (analytic) = 1.2625228496188613194398566789066 y[1] (numeric) = 1.2625228496188613194398566789052 absolute error = 1.4e-30 relative error = 1.1088908215979149879379074975116e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.612 y[1] (analytic) = 1.263103196719022619615893588853 y[1] (numeric) = 1.2631031967190226196158935888516 absolute error = 1.4e-30 relative error = 1.1083813291238388673984729966730e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.613 y[1] (analytic) = 1.2636835180048541065177971205414 y[1] (numeric) = 1.26368351800485410651779712054 absolute error = 1.4e-30 relative error = 1.1078723272503917153372311445266e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.614 y[1] (analytic) = 1.2642638134929379741261201852873 y[1] (numeric) = 1.264263813492937974126120185286 absolute error = 1.3e-30 relative error = 1.0282663998808359818021475877096e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.615 y[1] (analytic) = 1.2648440831998404438467963436861 y[1] (numeric) = 1.2648440831998404438467963436847 absolute error = 1.4e-30 relative error = 1.1068557924216541140020174020568e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.616 y[1] (analytic) = 1.2654243271421117850183782013117 y[1] (numeric) = 1.2654243271421117850183782013103 absolute error = 1.4e-30 relative error = 1.1063482580280558129333795535112e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.8729 Order of pole = 1.16e-28 TOP MAIN SOLVE Loop x[1] = 1.617 y[1] (analytic) = 1.2660045453362863353863747303714 y[1] (numeric) = 1.2660045453362863353863747303701 absolute error = 1.3e-30 relative error = 1.0268525534042877530376720881305e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.618 y[1] (analytic) = 1.2665847377988825215447508393541 y[1] (numeric) = 1.2665847377988825215447508393528 absolute error = 1.3e-30 relative error = 1.0263821765760321322333680939000e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.619 y[1] (analytic) = 1.2671649045464028793446523705736 y[1] (numeric) = 1.2671649045464028793446523705723 absolute error = 1.3e-30 relative error = 1.0259122513066686006725780303652e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.62 y[1] (analytic) = 1.267745045595334074270419563738 y[1] (numeric) = 1.2677450455953340742704195637367 absolute error = 1.3e-30 relative error = 1.0254427769343156641377532159000e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.074 Order of pole = 1.462e-26 TOP MAIN SOLVE Loop x[1] = 1.621 y[1] (analytic) = 1.2683251609621469217829518822634 y[1] (numeric) = 1.2683251609621469217829518822621 absolute error = 1.3e-30 relative error = 1.0249737527983948996460056698232e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.622 y[1] (analytic) = 1.2689052506632964076304869580074 y[1] (numeric) = 1.2689052506632964076304869580061 absolute error = 1.3e-30 relative error = 1.0245051782396277386942982406412e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.623 y[1] (analytic) = 1.269485314715221708126856269409 y[1] (numeric) = 1.2694853147152217081268562694077 absolute error = 1.3e-30 relative error = 1.0240370526000322600456751450735e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.624 y[1] (analytic) = 1.2700653531343462103972800276999 y[1] (numeric) = 1.2700653531343462103972800276986 absolute error = 1.3e-30 relative error = 1.0235693752229199920235042615142e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.625 y[1] (analytic) = 1.270645365937077532591763605884 y[1] (numeric) = 1.2706453659370775325917636058827 absolute error = 1.3e-30 relative error = 1.0231021454528927242808331881723e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.626 y[1] (analytic) = 1.2712253531398075440661577055759 y[1] (numeric) = 1.2712253531398075440661577055746 absolute error = 1.3e-30 relative error = 1.0226353626358393290120911613060e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.627 y[1] (analytic) = 1.2718053147589123855309443175384 y[1] (numeric) = 1.2718053147589123855309443175372 absolute error = 1.2e-30 relative error = 9.4354063949439931529953701748534e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.628 y[1] (analytic) = 1.2723852508107524891678103928657 y[1] (numeric) = 1.2723852508107524891678103928645 absolute error = 1.2e-30 relative error = 9.4311058638519327737231414747006e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.502 Order of pole = 1.149e-26 TOP MAIN SOLVE Loop x[1] = 1.629 y[1] (analytic) = 1.2729651613116725987140710032187 y[1] (numeric) = 1.2729651613116725987140710032175 absolute error = 1.2e-30 relative error = 9.4268094404367770471266905070398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.63 y[1] (analytic) = 1.2735450462780017895150036303367 y[1] (numeric) = 1.2735450462780017895150036303354 absolute error = 1.3e-30 relative error = 1.0207726878600125826149036588330e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.631 y[1] (analytic) = 1.2741249057260534885441550872151 y[1] (numeric) = 1.2741249057260534885441550872138 absolute error = 1.3e-30 relative error = 1.0203081300409881892966977854542e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.632 y[1] (analytic) = 1.2747047396721254943916824358627 y[1] (numeric) = 1.2747047396721254943916824358614 absolute error = 1.3e-30 relative error = 1.0198440152771228043810271737783e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.633 y[1] (analytic) = 1.2752845481324999972207891294203 y[1] (numeric) = 1.275284548132499997220789129419 absolute error = 1.3e-30 relative error = 1.0193803429232266581150055603961e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.634 y[1] (analytic) = 1.2758643311234435986923174696472 y[1] (numeric) = 1.2758643311234435986923174696459 absolute error = 1.3e-30 relative error = 1.0189171123353719690155186135415e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.635 y[1] (analytic) = 1.2764440886612073318575583343517 y[1] (numeric) = 1.2764440886612073318575583343504 absolute error = 1.3e-30 relative error = 1.0184543228708898486086628127123e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.636 y[1] (analytic) = 1.2770238207620266810193389932601 y[1] (numeric) = 1.2770238207620266810193389932588 absolute error = 1.3e-30 relative error = 1.0179919738883672152908799512454e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=186.9MB, alloc=4.4MB, time=21.80 x[1] = 1.637 y[1] (analytic) = 1.2776035274421216015614496950864 y[1] (numeric) = 1.277603527442121601561449695085 absolute error = 1.4e-30 relative error = 1.0958016081897701570712137111534e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.638 y[1] (analytic) = 1.2781832087176965397464695731747 y[1] (numeric) = 1.2781832087176965397464695731734 absolute error = 1.3e-30 relative error = 1.0170685948098086646278302525528e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.639 y[1] (analytic) = 1.2787628646049404524820522820474 y[1] (numeric) = 1.278762864604940452482052282046 absolute error = 1.4e-30 relative error = 1.0948081452400593525817638084971e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.64 y[1] (analytic) = 1.2793424951200268270557316424878 y[1] (numeric) = 1.2793424951200268270557316424864 absolute error = 1.4e-30 relative error = 1.0943121215313442615255006872239e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.641 y[1] (analytic) = 1.2799221002791137008383074384372 y[1] (numeric) = 1.2799221002791137008383074384358 absolute error = 1.4e-30 relative error = 1.0938165687542240339914042998173e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.642 y[1] (analytic) = 1.2805016800983436809558713749671 y[1] (numeric) = 1.2805016800983436809558713749657 absolute error = 1.4e-30 relative error = 1.0933214862259913166036548971628e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.643 y[1] (analytic) = 1.2810812345938439639305330729186 y[1] (numeric) = 1.2810812345938439639305330729172 absolute error = 1.4e-30 relative error = 1.0928268732652681708788053721502e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.644 y[1] (analytic) = 1.2816607637817263552899058424679 y[1] (numeric) = 1.2816607637817263552899058424665 absolute error = 1.4e-30 relative error = 1.0923327291920028270732509697113e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.274 Order of pole = 7.73e-28 TOP MAIN SOLVE Loop x[1] = 1.645 y[1] (analytic) = 1.282240267678087289145411844884 y[1] (numeric) = 1.2822402676780872891454118448825 absolute error = 1.5e-30 relative error = 1.1698275571365711938086117312329e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.646 y[1] (analytic) = 1.2828197462990078477394661190897 y[1] (numeric) = 1.2828197462990078477394661190882 absolute error = 1.5e-30 relative error = 1.1692991196366963210697092970935e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.647 y[1] (analytic) = 1.2833991996605537809615988173218 y[1] (numeric) = 1.2833991996605537809615988173203 absolute error = 1.5e-30 relative error = 1.1687711823388505764737617108317e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.648 y[1] (analytic) = 1.2839786277787755258335748622015 y[1] (numeric) = 1.2839786277787755258335748622 absolute error = 1.5e-30 relative error = 1.1682437445200560675373366979092e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.649 y[1] (analytic) = 1.2845580306697082259635701058852 y[1] (numeric) = 1.2845580306697082259635701058838 absolute error = 1.4e-30 relative error = 1.0898690184281559885121127283153e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.65 y[1] (analytic) = 1.285137408349371750969462940651 y[1] (numeric) = 1.2851374083493717509694629406495 absolute error = 1.5e-30 relative error = 1.1671903644347240561086794640607e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.651 y[1] (analytic) = 1.2857167608337707158713001792988 y[1] (numeric) = 1.2857167608337707158713001792973 absolute error = 1.5e-30 relative error = 1.1666644207292353960968896939868e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.652 y[1] (analytic) = 1.2862960881388945004529958931002 y[1] (numeric) = 1.2862960881388945004529958930987 absolute error = 1.5e-30 relative error = 1.1661389736248888520289130425356e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.305 Order of pole = 3.346e-27 TOP MAIN SOLVE Loop x[1] = 1.653 y[1] (analytic) = 1.2868753902807172685933217647146 y[1] (numeric) = 1.2868753902807172685933217647131 absolute error = 1.5e-30 relative error = 1.1656140224056907447707112789881e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.654 y[1] (analytic) = 1.2874546672751979875662473835106 y[1] (numeric) = 1.2874546672751979875662473835091 absolute error = 1.5e-30 relative error = 1.1650895663570340655762385638685e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.655 y[1] (analytic) = 1.2880339191382804473106887810742 y[1] (numeric) = 1.2880339191382804473106887810727 absolute error = 1.5e-30 relative error = 1.1645656047656951084145765278695e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.656 y[1] (analytic) = 1.2886131458858932796697233753622 y[1] (numeric) = 1.2886131458858932796697233753607 absolute error = 1.5e-30 relative error = 1.1640421369198301121244099313028e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.657 y[1] (analytic) = 1.2891923475339499775993293629627 y[1] (numeric) = 1.2891923475339499775993293629611 absolute error = 1.6e-30 relative error = 1.2410871062495700398531962245590e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.658 y[1] (analytic) = 1.2897715240983489143467074702519 y[1] (numeric) = 1.2897715240983489143467074702503 absolute error = 1.6e-30 relative error = 1.2405297915989617101993754720677e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.67 Order of pole = 4.308e-27 TOP MAIN SOLVE Loop x[1] = 1.659 y[1] (analytic) = 1.2903506755949733625982428458958 y[1] (numeric) = 1.2903506755949733625982428458942 absolute error = 1.6e-30 relative error = 1.2399730013410882230608026411353e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.347 Order of pole = 2.055e-27 TOP MAIN SOLVE Loop x[1] = 1.66 y[1] (analytic) = 1.2909298020396915135971647491218 y[1] (numeric) = 1.2909298020396915135971647491202 absolute error = 1.6e-30 relative error = 1.2394167347225017226933678675994e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.661 y[1] (analytic) = 1.291508903448356496230961560494 y[1] (numeric) = 1.2915089034483564962309615604924 absolute error = 1.6e-30 relative error = 1.2388609909912085420304415072046e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.662 y[1] (analytic) = 1.2920879798368063960886085145503 y[1] (numeric) = 1.2920879798368063960886085145487 absolute error = 1.6e-30 relative error = 1.2383057693966656831310437108377e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.663 y[1] (analytic) = 1.2926670312208642744876654266117 y[1] (numeric) = 1.2926670312208642744876654266101 absolute error = 1.6e-30 relative error = 1.2377510691897773078634877502972e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.664 y[1] (analytic) = 1.2932460576163381874713015593452 y[1] (numeric) = 1.2932460576163381874713015593436 absolute error = 1.6e-30 relative error = 1.2371968896228912387897543590886e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.665 y[1] (analytic) = 1.293825059039021204775304648252 y[1] (numeric) = 1.2938250590390212047753046482505 absolute error = 1.5e-30 relative error = 1.1593530280779332533274898078703e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.666 y[1] (analytic) = 1.2944040355046914287651309791661 y[1] (numeric) = 1.2944040355046914287651309791646 absolute error = 1.5e-30 relative error = 1.1588344588366075212887336118542e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.667 y[1] (analytic) = 1.2949829870291120133430532850752 y[1] (numeric) = 1.2949829870291120133430532850737 absolute error = 1.5e-30 relative error = 1.1583163756006001322224615514094e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.668 y[1] (analytic) = 1.2955619136280311828254631041265 y[1] (numeric) = 1.2955619136280311828254631041251 absolute error = 1.4e-30 relative error = 1.0806121924960770644166595657683e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=190.7MB, alloc=4.4MB, time=22.24 TOP MAIN SOLVE Loop x[1] = 1.669 y[1] (analytic) = 1.296140815317182250790384115542 y[1] (numeric) = 1.2961408153171822507903841155406 absolute error = 1.4e-30 relative error = 1.0801295534061259208980565702551e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.67 y[1] (analytic) = 1.296719692112283638895252845347 y[1] (numeric) = 1.2967196921122836388952528453456 absolute error = 1.4e-30 relative error = 1.0796473659773597893540643792844e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.8465 Order of pole = 1.478e-27 TOP MAIN SOLVE Loop x[1] = 1.671 y[1] (analytic) = 1.2972985440290388956650230093138 y[1] (numeric) = 1.2972985440290388956650230093124 absolute error = 1.4e-30 relative error = 1.0791656295643404513662988026661e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.672 y[1] (analytic) = 1.2978773710831367152506496363281 y[1] (numeric) = 1.2978773710831367152506496363267 absolute error = 1.4e-30 relative error = 1.0786843435228687155276747091062e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.673 y[1] (analytic) = 1.2984561732902509561580089915094 y[1] (numeric) = 1.298456173290250956158008991508 absolute error = 1.4e-30 relative error = 1.0782035072099814346982846890593e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.674 y[1] (analytic) = 1.2990349506660406599473101948516 y[1] (numeric) = 1.2990349506660406599473101948501 absolute error = 1.5e-30 relative error = 1.1547033428399448555957004452835e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.675 y[1] (analytic) = 1.2996137032261500699030543078934 y[1] (numeric) = 1.299613703226150069903054307892 absolute error = 1.4e-30 relative error = 1.0772431812042700347459061326258e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.676 y[1] (analytic) = 1.3001924309862086496745965379891 y[1] (numeric) = 1.3001924309862086496745965379877 absolute error = 1.4e-30 relative error = 1.0767636902316731185998261034587e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.893 Order of pole = 6.813e-27 TOP MAIN SOLVE Loop x[1] = 1.677 y[1] (analytic) = 1.3007711339618311018873670871095 y[1] (numeric) = 1.3007711339618311018873670871081 absolute error = 1.4e-30 relative error = 1.0762846464281091580632397686752e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.678 y[1] (analytic) = 1.301349812168617386724806049785 y[1] (numeric) = 1.3013498121686173867248060497836 absolute error = 1.4e-30 relative error = 1.0758060491567507871345897925221e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.679 y[1] (analytic) = 1.3019284656221527404810676427791 y[1] (numeric) = 1.3019284656221527404810676427777 absolute error = 1.4e-30 relative error = 1.0753278977819889677880191244150e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.6 Order of pole = 5.134e-27 TOP MAIN SOLVE Loop x[1] = 1.68 y[1] (analytic) = 1.3025070943380076940845489273748 y[1] (numeric) = 1.3025070943380076940845489273734 absolute error = 1.4e-30 relative error = 1.0748501916694300670177236685045e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.681 y[1] (analytic) = 1.3030856983317380915922980637485 y[1] (numeric) = 1.3030856983317380915922980637471 absolute error = 1.4e-30 relative error = 1.0743729301858929423087771422192e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.682 y[1] (analytic) = 1.3036642776188851086553570158102 y[1] (numeric) = 1.3036642776188851086553570158088 absolute error = 1.4e-30 relative error = 1.0738961126994060355060742164304e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.683 y[1] (analytic) = 1.3042428322149752709550935040918 y[1] (numeric) = 1.3042428322149752709550935040905 absolute error = 1.3e-30 relative error = 9.9674690010926129826363656287837e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.684 y[1] (analytic) = 1.3048213621355204726105768837766 y[1] (numeric) = 1.3048213621355204726105768837752 absolute error = 1.4e-30 relative error = 1.0729438071957271865727190393956e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.685 y[1] (analytic) = 1.3053998673960179945570525047707 y[1] (numeric) = 1.3053998673960179945570525047694 absolute error = 1.3e-30 relative error = 9.9586343806914158234946954737969e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.421 Order of pole = 1.015e-26 TOP MAIN SOLVE Loop x[1] = 1.686 y[1] (analytic) = 1.3059783480119505228955689908376 y[1] (numeric) = 1.3059783480119505228955689908363 absolute error = 1.3e-30 relative error = 9.9542232226050977588417516672950e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.687 y[1] (analytic) = 1.3065568039987861672138127552232 y[1] (numeric) = 1.3065568039987861672138127552219 absolute error = 1.3e-30 relative error = 9.9498161581745338437419578599474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.688 y[1] (analytic) = 1.3071352353719784788782039509204 y[1] (numeric) = 1.307135235371978478878203950919 absolute error = 1.4e-30 relative error = 1.0710444964798110559605319010899e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.689 y[1] (analytic) = 1.3077136421469664692973079347318 y[1] (numeric) = 1.3077136421469664692973079347304 absolute error = 1.4e-30 relative error = 1.0705707693784706987797437478688e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.465 Order of pole = 3.225e-27 TOP MAIN SOLVE Loop x[1] = 1.69 y[1] (analytic) = 1.3082920243391746281566162056041 y[1] (numeric) = 1.3082920243391746281566162056028 absolute error = 1.3e-30 relative error = 9.9366194688577806284297648769449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.691 y[1] (analytic) = 1.308870381964012941624750659316 y[1] (numeric) = 1.3088703819640129416247506593146 absolute error = 1.4e-30 relative error = 1.0696246315080056904012693641940e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.692 y[1] (analytic) = 1.3094487150368769105311448835083 y[1] (numeric) = 1.3094487150368769105311448835069 absolute error = 1.4e-30 relative error = 1.0691522194976326119480065516567e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.693 y[1] (analytic) = 1.3100270235731475685152560992502 y[1] (numeric) = 1.3100270235731475685152560992488 absolute error = 1.4e-30 relative error = 1.0686802446116323481981743829537e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.694 y[1] (analytic) = 1.3106053075881915001473612378292 y[1] (numeric) = 1.3106053075881915001473612378278 absolute error = 1.4e-30 relative error = 1.0682087062323246937765810776396e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.695 y[1] (analytic) = 1.3111835670973608590209905242474 y[1] (numeric) = 1.311183567097360859020990524246 absolute error = 1.4e-30 relative error = 1.0677376037432019994882591949523e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.696 y[1] (analytic) = 1.3117618021159933858170518219917 y[1] (numeric) = 1.3117618021159933858170518219903 absolute error = 1.4e-30 relative error = 1.0672669365289263808441170660248e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.14 Order of pole = 4.512e-27 TOP MAIN SOLVE Loop x[1] = 1.697 y[1] (analytic) = 1.3123400126594124263396988770227 y[1] (numeric) = 1.3123400126594124263396988770213 absolute error = 1.4e-30 relative error = 1.0667967039753269345722243966594e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.698 y[1] (analytic) = 1.3129181987429269495239964825971 y[1] (numeric) = 1.3129181987429269495239964825957 absolute error = 1.4e-30 relative error = 1.0663269054693969630880673904548e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.699 y[1] (analytic) = 1.3134963603818315654154354705004 y[1] (numeric) = 1.313496360381831565415435470499 absolute error = 1.4e-30 relative error = 1.0658575403992912068972104991578e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=194.5MB, alloc=4.4MB, time=22.68 x[1] = 1.7 y[1] (analytic) = 1.3140744975914065431213503185162 y[1] (numeric) = 1.3140744975914065431213503185147 absolute error = 1.5e-30 relative error = 1.1414877944510604481113248865216e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.701 y[1] (analytic) = 1.3146526103869178287342920484992 y[1] (numeric) = 1.3146526103869178287342920484977 absolute error = 1.5e-30 relative error = 1.1409858301338877956420763979595e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.702 y[1] (analytic) = 1.3152306987836170632274089742488 y[1] (numeric) = 1.3152306987836170632274089742473 absolute error = 1.5e-30 relative error = 1.1404843282530324729673199898615e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.703 y[1] (analytic) = 1.3158087627967416003218877434942 y[1] (numeric) = 1.3158087627967416003218877434928 absolute error = 1.4e-30 relative error = 1.0639844022807011560311733001355e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.704 y[1] (analytic) = 1.3163868024415145243265070037091 y[1] (numeric) = 1.3163868024415145243265070037076 absolute error = 1.5e-30 relative error = 1.1394827091991019776797177156281e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.705 y[1] (analytic) = 1.3169648177331446679493559071582 y[1] (numeric) = 1.3169648177331446679493559071567 absolute error = 1.5e-30 relative error = 1.1389825907285122156154364248432e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.2055 Order of pole = 1.511e-27 TOP MAIN SOLVE Loop x[1] = 1.706 y[1] (analytic) = 1.3175428086868266300817695565598 y[1] (numeric) = 1.3175428086868266300817695565582 absolute error = 1.6e-30 relative error = 1.2143817942391517685170124020454e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.707 y[1] (analytic) = 1.3181207753177407935545333789997 y[1] (numeric) = 1.3181207753177407935545333789981 absolute error = 1.6e-30 relative error = 1.2138493148431793402589391428327e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.708 y[1] (analytic) = 1.3186987176410533428664083022822 y[1] (numeric) = 1.3186987176410533428664083022807 absolute error = 1.5e-30 relative error = 1.1374849917828588010654971970074e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.709 y[1] (analytic) = 1.3192766356719162818850284947242 y[1] (numeric) = 1.3192766356719162818850284947226 absolute error = 1.6e-30 relative error = 1.2127858227286117738826746472984e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.71 y[1] (analytic) = 1.3198545294254674515202233165088 y[1] (numeric) = 1.3198545294254674515202233165073 absolute error = 1.5e-30 relative error = 1.1364888830990714213981176450769e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.711 y[1] (analytic) = 1.3204323989168305473698150181059 y[1] (numeric) = 1.3204323989168305473698150181044 absolute error = 1.5e-30 relative error = 1.1359915140150084975407842656300e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.712 y[1] (analytic) = 1.3210102441611151373379436089313 y[1] (numeric) = 1.3210102441611151373379436089298 absolute error = 1.5e-30 relative error = 1.1354946009162474227012014962164e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.713 y[1] (analytic) = 1.3215880651734166792259702073722 y[1] (numeric) = 1.3215880651734166792259702073708 absolute error = 1.4e-30 relative error = 1.0593316002867309729216889420962e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.714 y[1] (analytic) = 1.3221658619688165382960100715308 y[1] (numeric) = 1.3221658619688165382960100715293 absolute error = 1.5e-30 relative error = 1.1345021401220974075033197614187e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.715 y[1] (analytic) = 1.3227436345623820048071463985448 y[1] (numeric) = 1.3227436345623820048071463985433 absolute error = 1.5e-30 relative error = 1.1340065911534412266939775840645e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.716 y[1] (analytic) = 1.323321382969166311524375869131 y[1] (numeric) = 1.3233213829691663115243758691295 absolute error = 1.5e-30 relative error = 1.1335114956235467558673879798252e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.717 y[1] (analytic) = 1.3238991072042086512003368030534 y[1] (numeric) = 1.3238991072042086512003368030518 absolute error = 1.6e-30 relative error = 1.2085513097586849321198148589390e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.718 y[1] (analytic) = 1.3244768072825341940298706805586 y[1] (numeric) = 1.324476807282534194029870680557 absolute error = 1.6e-30 relative error = 1.2080241731697547678272651000905e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.719 y[1] (analytic) = 1.3250544832191541050774676744302 y[1] (numeric) = 1.3250544832191541050774676744287 absolute error = 1.5e-30 relative error = 1.1320289233359102671588103467908e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.72 y[1] (analytic) = 1.3256321350290655616776467272002 y[1] (numeric) = 1.3256321350290655616776467271987 absolute error = 1.5e-30 relative error = 1.1315356352364762802039187359654e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.721 y[1] (analytic) = 1.3262097627272517708083205982144 y[1] (numeric) = 1.3262097627272517708083205982129 absolute error = 1.5e-30 relative error = 1.1310427974194380290775729264552e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.722 y[1] (analytic) = 1.3267873663286819864371961956824 y[1] (numeric) = 1.3267873663286819864371961956809 absolute error = 1.5e-30 relative error = 1.1305504092570688871919824081778e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.723 y[1] (analytic) = 1.3273649458483115268412603995457 y[1] (numeric) = 1.3273649458483115268412603995441 absolute error = 1.6e-30 relative error = 1.2053957014643391324779142532814e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.724 y[1] (analytic) = 1.3279425013010817918994014719718 y[1] (numeric) = 1.3279425013010817918994014719702 absolute error = 1.6e-30 relative error = 1.2048714446840610205201213963577e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.725 y[1] (analytic) = 1.3285200327019202803582160435314 y[1] (numeric) = 1.3285200327019202803582160435298 absolute error = 1.6e-30 relative error = 1.2043476655342175141243628888849e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.726 y[1] (analytic) = 1.3290975400657406070710515546272 y[1] (numeric) = 1.3290975400657406070710515546256 absolute error = 1.6e-30 relative error = 1.2038243633502322602646857544444e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.727 y[1] (analytic) = 1.3296750234074425202103339235307 y[1] (numeric) = 1.3296750234074425202103339235291 absolute error = 1.6e-30 relative error = 1.2033015374687712615631754123118e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.728 y[1] (analytic) = 1.3302524827419119184532301044348 y[1] (numeric) = 1.3302524827419119184532301044332 absolute error = 1.6e-30 relative error = 1.2027791872277399635238948602973e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.729 y[1] (analytic) = 1.3308299180840208681406950912505 y[1] (numeric) = 1.3308299180840208681406950912489 absolute error = 1.6e-30 relative error = 1.2022573119662803499733875354989e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.73 y[1] (analytic) = 1.3314073294486276204099528154626 y[1] (numeric) = 1.331407329448627620409952815461 absolute error = 1.6e-30 relative error = 1.2017359110247680466807551500255e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.731 y[1] (analytic) = 1.3319847168505766283004602792137 y[1] (numeric) = 1.3319847168505766283004602792121 absolute error = 1.6e-30 relative error = 1.2012149837448094331304232401220e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=198.3MB, alloc=4.4MB, time=23.13 TOP MAIN SOLVE Loop x[1] = 1.732 y[1] (analytic) = 1.3325620803046985638334041579022 y[1] (numeric) = 1.3325620803046985638334041579006 absolute error = 1.6e-30 relative error = 1.2006945294692387624208081796507e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.286 Order of pole = 3.809e-27 TOP MAIN SOLVE Loop x[1] = 1.733 y[1] (analytic) = 1.333139419825810335064778999965 y[1] (numeric) = 1.3331394198258103350647789999633 absolute error = 1.7e-30 relative error = 1.2751854567634974948410874942065e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.734 y[1] (analytic) = 1.3337167354287151031120960451593 y[1] (numeric) = 1.3337167354287151031120960451577 absolute error = 1.6e-30 relative error = 1.1996550373087204060472754756920e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.735 y[1] (analytic) = 1.3342940271282022991547715765722 y[1] (numeric) = 1.3342940271282022991547715765706 absolute error = 1.6e-30 relative error = 1.1991359981155547869677558256037e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.736 y[1] (analytic) = 1.334871294939047641408243615752 y[1] (numeric) = 1.3348712949390476414082436157504 absolute error = 1.6e-30 relative error = 1.1986174293103355401508223914641e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.737 y[1] (analytic) = 1.3354485388760131520718656647961 y[1] (numeric) = 1.3354485388760131520718656647945 absolute error = 1.6e-30 relative error = 1.1980993302419933677890029351775e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.738 y[1] (analytic) = 1.3360257589538471742506260939188 y[1] (numeric) = 1.3360257589538471742506260939173 absolute error = 1.5e-30 relative error = 1.1227328439943778758475056616611e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.739 y[1] (analytic) = 1.336602955187284388850741667981 y[1] (numeric) = 1.3366029551872843888507416679794 absolute error = 1.6e-30 relative error = 1.1970645387177140420517459790636e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.74 y[1] (analytic) = 1.337180127591045831449173600674 y[1] (numeric) = 1.3371801275910458314491736006724 absolute error = 1.6e-30 relative error = 1.1965478449656808159425647160837e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.741 y[1] (analytic) = 1.3377572761798389091371144205268 y[1] (numeric) = 1.3377572761798389091371144205252 absolute error = 1.6e-30 relative error = 1.1960316183583268946174215672318e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.742 y[1] (analytic) = 1.338334400968357417337493828632 y[1] (numeric) = 1.3383344009683574173374938286304 absolute error = 1.6e-30 relative error = 1.1955158582506086304875846154084e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.284 Order of pole = 1.832e-27 TOP MAIN SOLVE Loop x[1] = 1.743 y[1] (analytic) = 1.3389115019712815565965516239775 y[1] (numeric) = 1.3389115019712815565965516239759 absolute error = 1.6e-30 relative error = 1.1950005639986790972121210103846e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.744 y[1] (analytic) = 1.3394885792032779493495256685126 y[1] (numeric) = 1.339488579203277949349525668511 absolute error = 1.6e-30 relative error = 1.1944857349598853050542460003108e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.745 y[1] (analytic) = 1.340065632678999656660502760579 y[1] (numeric) = 1.3400656326789996566605027605774 absolute error = 1.6e-30 relative error = 1.1939713704927654240243528164268e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.746 y[1] (analytic) = 1.3406426624130861949364801820926 y[1] (numeric) = 1.340642662413086194936480182091 absolute error = 1.6e-30 relative error = 1.1934574699570460147843074156063e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.747 y[1] (analytic) = 1.3412196684201635526156855818702 y[1] (numeric) = 1.3412196684201635526156855818685 absolute error = 1.7e-30 relative error = 1.2675030347582417214931673321879e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.748 y[1] (analytic) = 1.3417966507148442068302027547607 y[1] (numeric) = 1.3417966507148442068302027547591 absolute error = 1.6e-30 relative error = 1.1924310581246402471307348577647e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.749 y[1] (analytic) = 1.3423736093117271400429507737564 y[1] (numeric) = 1.3423736093117271400429507737548 absolute error = 1.6e-30 relative error = 1.1919185455533241495889008658018e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.75 y[1] (analytic) = 1.3429505442253978566590638300268 y[1] (numeric) = 1.3429505442253978566590638300251 absolute error = 1.7e-30 relative error = 1.2658694002619025338960453893889e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.751 y[1] (analytic) = 1.3435274554704283996117190338406 y[1] (numeric) = 1.343527455470428399611719033839 absolute error = 1.6e-30 relative error = 1.1908949039227257296665219507878e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.752 y[1] (analytic) = 1.3441043430613773669224593276124 y[1] (numeric) = 1.3441043430613773669224593276108 absolute error = 1.6e-30 relative error = 1.1903837735958698396598102096683e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.724 Order of pole = 9.115e-27 TOP MAIN SOLVE Loop x[1] = 1.753 y[1] (analytic) = 1.3446812070127899282360585608292 y[1] (numeric) = 1.3446812070127899282360585608275 absolute error = 1.7e-30 relative error = 1.2642401716735158171442737934569e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.754 y[1] (analytic) = 1.3452580473391978413299756753869 y[1] (numeric) = 1.3452580473391978413299756753852 absolute error = 1.7e-30 relative error = 1.2636980714313142793470647732519e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.755 y[1] (analytic) = 1.3458348640551194685984448488848 y[1] (numeric) = 1.3458348640551194685984448488831 absolute error = 1.7e-30 relative error = 1.2631564580499494975749067759410e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.756 y[1] (analytic) = 1.346411657175059793511248342694 y[1] (numeric) = 1.3464116571750597935112483426923 absolute error = 1.7e-30 relative error = 1.2626153308615975692605223949817e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.757 y[1] (analytic) = 1.3469884267135104370472187011316 y[1] (numeric) = 1.3469884267135104370472187011299 absolute error = 1.7e-30 relative error = 1.2620746891996654297331831798696e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.758 y[1] (analytic) = 1.3475651726849496741025168478353 y[1] (numeric) = 1.3475651726849496741025168478336 absolute error = 1.7e-30 relative error = 1.2615345323987880069405497910524e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.759 y[1] (analytic) = 1.3481418951038424498737325254406 y[1] (numeric) = 1.3481418951038424498737325254389 absolute error = 1.7e-30 relative error = 1.2609948597948253840748131866150e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.76 y[1] (analytic) = 1.3487185939846403962158534249171 y[1] (numeric) = 1.3487185939846403962158534249154 absolute error = 1.7e-30 relative error = 1.2604556707248599700775049658830e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.761 y[1] (analytic) = 1.3492952693417818479751492514184 y[1] (numeric) = 1.3492952693417818479751492514167 absolute error = 1.7e-30 relative error = 1.2599169645271936779974399941361e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.762 y[1] (analytic) = 1.3498719211896918592970168742438 y[1] (numeric) = 1.3498719211896918592970168742421 absolute error = 1.7e-30 relative error = 1.2593787405413451111763490356325e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=202.1MB, alloc=4.4MB, time=23.57 x[1] = 1.763 y[1] (analytic) = 1.3504485495427822199088326094947 y[1] (numeric) = 1.3504485495427822199088326094929 absolute error = 1.8e-30 relative error = 1.3328904685849906841331388210016e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.764 y[1] (analytic) = 1.3510251544154514713778575852374 y[1] (numeric) = 1.3510251544154514713778575852357 absolute error = 1.7e-30 relative error = 1.2583037365692421898475268710484e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.026 Order of pole = 3.594e-27 TOP MAIN SOLVE Loop x[1] = 1.765 y[1] (analytic) = 1.3516017358220849233442420404574 y[1] (numeric) = 1.3516017358220849233442420404556 absolute error = 1.8e-30 relative error = 1.3317532467544411181363494020969e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.292 Order of pole = 2.188e-26 TOP MAIN SOLVE Loop x[1] = 1.766 y[1] (analytic) = 1.3521782937770546697291743107966 y[1] (numeric) = 1.3521782937770546697291743107948 absolute error = 1.8e-30 relative error = 1.3311853978753348988317786446568e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.767 y[1] (analytic) = 1.3527548282947196049182201560257 y[1] (numeric) = 1.3527548282947196049182201560239 absolute error = 1.8e-30 relative error = 1.3306180560960014346445462119756e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.687 Order of pole = 3.338e-27 TOP MAIN SOLVE Loop x[1] = 1.768 y[1] (analytic) = 1.3533313393894254399198979863888 y[1] (numeric) = 1.353331339389425439919897986387 absolute error = 1.8e-30 relative error = 1.3300512207247749386916822012537e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.769 y[1] (analytic) = 1.3539078270755047184995354473956 y[1] (numeric) = 1.3539078270755047184995354473938 absolute error = 1.8e-30 relative error = 1.3294848910712572588963097654761e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.77 y[1] (analytic) = 1.3544842913672768332884527253053 y[1] (numeric) = 1.3544842913672768332884527253035 absolute error = 1.8e-30 relative error = 1.3289190664463149640020081628796e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.771 y[1] (analytic) = 1.3550607322790480418685178384539 y[1] (numeric) = 1.3550607322790480418685178384521 absolute error = 1.8e-30 relative error = 1.3283537461620764376373075928424e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.772 y[1] (analytic) = 1.355637149825111482832119082727 y[1] (numeric) = 1.3556371498251114828321190827252 absolute error = 1.8e-30 relative error = 1.3277889295319289804043559790074e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.773 y[1] (analytic) = 1.3562135440197471918175997028595 y[1] (numeric) = 1.3562135440197471918175997028577 absolute error = 1.8e-30 relative error = 1.3272246158705159199658935416858e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.228 Order of pole = 3.94e-28 TOP MAIN SOLVE Loop x[1] = 1.774 y[1] (analytic) = 1.3567899148772221175201997648656 y[1] (numeric) = 1.3567899148772221175201997648638 absolute error = 1.8e-30 relative error = 1.3266608044937337291047662861432e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.775 y[1] (analytic) = 1.3573662624117901376785501087568 y[1] (numeric) = 1.3573662624117901376785501087549 absolute error = 1.9e-30 relative error = 1.3997695777586585490486546688078e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.776 y[1] (analytic) = 1.3579425866376920750367631647938 y[1] (numeric) = 1.3579425866376920750367631647919 absolute error = 1.9e-30 relative error = 1.3991755017452239110729854695507e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.777 y[1] (analytic) = 1.3585188875691557132821653208458 y[1] (numeric) = 1.3585188875691557132821653208439 absolute error = 1.9e-30 relative error = 1.3985819537627003124047298910872e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.778 y[1] (analytic) = 1.3590951652203958129587154329831 y[1] (numeric) = 1.3590951652203958129587154329813 absolute error = 1.8e-30 relative error = 1.3244105681945424742436263365609e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.779 y[1] (analytic) = 1.359671419605614127356153976224 y[1] (numeric) = 1.3596714196056141273561539762221 absolute error = 1.9e-30 relative error = 1.3973964390243000136268228179484e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.78 y[1] (analytic) = 1.3602476507389994183749272373754 y[1] (numeric) = 1.3602476507389994183749272373735 absolute error = 1.9e-30 relative error = 1.3968044708386464100612431049977e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.781 y[1] (analytic) = 1.3608238586347274723669308571653 y[1] (numeric) = 1.3608238586347274723669308571635 absolute error = 1.8e-30 relative error = 1.3227281316230627964095117497599e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.782 y[1] (analytic) = 1.3614000433069611159521169343458 y[1] (numeric) = 1.361400043306961115952116934344 absolute error = 1.8e-30 relative error = 1.3221683140450332267575869311506e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.783 y[1] (analytic) = 1.3619762047698502318110088101638 y[1] (numeric) = 1.3619762047698502318110088101619 absolute error = 1.9e-30 relative error = 1.3950317144645461891166492539614e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.324 Order of pole = 1.712e-26 TOP MAIN SOLVE Loop x[1] = 1.784 y[1] (analytic) = 1.3625523430375317744531675575408 y[1] (numeric) = 1.3625523430375317744531675575389 absolute error = 1.9e-30 relative error = 1.3944418426996636291951514928364e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.785 y[1] (analytic) = 1.3631284581241297859616541054787 y[1] (numeric) = 1.3631284581241297859616541054768 absolute error = 1.9e-30 relative error = 1.3938524932673523483497001666279e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.786 y[1] (analytic) = 1.3637045500437554117135308356087 y[1] (numeric) = 1.3637045500437554117135308356068 absolute error = 1.9e-30 relative error = 1.3932636654611419861378658892261e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.787 y[1] (analytic) = 1.3642806188105069160764463944335 y[1] (numeric) = 1.3642806188105069160764463944316 absolute error = 1.9e-30 relative error = 1.3926753585758461533938113693431e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.788 y[1] (analytic) = 1.3648566644384696980813473716705 y[1] (numeric) = 1.3648566644384696980813473716686 absolute error = 1.9e-30 relative error = 1.3920875719075595051957019530147e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.789 y[1] (analytic) = 1.3654326869417163070713604021864 y[1] (numeric) = 1.3654326869417163070713604021845 absolute error = 1.9e-30 relative error = 1.3915003047536548218523572205029e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.79 y[1] (analytic) = 1.3660086863343064583268881563262 y[1] (numeric) = 1.3660086863343064583268881563243 absolute error = 1.9e-30 relative error = 1.3909135564127800978834970098271e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.028 Order of pole = 6.829e-27 TOP MAIN SOLVE Loop x[1] = 1.791 y[1] (analytic) = 1.3665846626302870486669625909736 y[1] (numeric) = 1.3665846626302870486669625909717 absolute error = 1.9e-30 relative error = 1.3903273261848556389680289864361e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.792 y[1] (analytic) = 1.3671606158436921720268987414417 y[1] (numeric) = 1.3671606158436921720268987414398 absolute error = 1.9e-30 relative error = 1.3897416133710711668349182403544e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.793 y[1] (analytic) = 1.3677365459885431350122922422766 y[1] (numeric) = 1.3677365459885431350122922422747 absolute error = 1.9e-30 relative error = 1.3891564172738829320712723702693e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.794 y[1] (analytic) = 1.3683124530788484724294036732641 y[1] (numeric) = 1.3683124530788484724294036732622 absolute error = 1.9e-30 relative error = 1.3885717371970108348223681102197e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=206.0MB, alloc=4.4MB, time=24.01 TOP MAIN SOLVE Loop x[1] = 1.795 y[1] (analytic) = 1.3688883371286039627919727353628 y[1] (numeric) = 1.3688883371286039627919727353609 absolute error = 1.9e-30 relative error = 1.3879875724454355533584377705333e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.796 y[1] (analytic) = 1.3694641981517926438045051699374 y[1] (numeric) = 1.3694641981517926438045051699355 absolute error = 1.9e-30 relative error = 1.3874039223253956804831256021901e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.797 y[1] (analytic) = 1.3700400361623848278220752435436 y[1] (numeric) = 1.3700400361623848278220752435417 absolute error = 1.9e-30 relative error = 1.3868207861443848677586156545768e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.798 y[1] (analytic) = 1.3706158511743381172866865296101 y[1] (numeric) = 1.3706158511743381172866865296082 absolute error = 1.9e-30 relative error = 1.3862381632111489775225237823608e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.799 y[1] (analytic) = 1.3711916432015974201402336276806 y[1] (numeric) = 1.3711916432015974201402336276788 absolute error = 1.8e-30 relative error = 1.3127267868969630720048036344169e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.8 y[1] (analytic) = 1.3717674122580949652141073704154 y[1] (numeric) = 1.3717674122580949652141073704135 absolute error = 1.9e-30 relative error = 1.3850744543292294341884750805410e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.801 y[1] (analytic) = 1.3723431583577503175954859783063 y[1] (numeric) = 1.3723431583577503175954859783045 absolute error = 1.8e-30 relative error = 1.3116252950566797186795169096306e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.802 y[1] (analytic) = 1.3729188815144703939703545320362 y[1] (numeric) = 1.3729188815144703939703545320344 absolute error = 1.8e-30 relative error = 1.3110752749021961966857648971950e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.803 y[1] (analytic) = 1.3734945817421494779432950426022 y[1] (numeric) = 1.3734945817421494779432950426003 absolute error = 1.9e-30 relative error = 1.3833327231549960819893784260901e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.804 y[1] (analytic) = 1.3740702590546692353340893097356 y[1] (numeric) = 1.3740702590546692353340893097338 absolute error = 1.8e-30 relative error = 1.3099766828796376535513701171304e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.805 y[1] (analytic) = 1.3746459134658987294511766697775 y[1] (numeric) = 1.3746459134658987294511766697757 absolute error = 1.8e-30 relative error = 1.3094281097171087340039566082917e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.806 y[1] (analytic) = 1.3752215449896944363420086450089 y[1] (numeric) = 1.3752215449896944363420086450071 absolute error = 1.8e-30 relative error = 1.3088800175927208487283949796937e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.807 y[1] (analytic) = 1.3757971536399002600203424174986 y[1] (numeric) = 1.3757971536399002600203424174968 absolute error = 1.8e-30 relative error = 1.3083324058621581936765098129828e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.808 y[1] (analytic) = 1.3763727394303475476705149618012 y[1] (numeric) = 1.3763727394303475476705149617994 absolute error = 1.8e-30 relative error = 1.3077852738822646897143715013781e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.809 y[1] (analytic) = 1.3769483023748551048287395823279 y[1] (numeric) = 1.3769483023748551048287395823261 absolute error = 1.8e-30 relative error = 1.3072386210110413641983844906150e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.81 y[1] (analytic) = 1.3775238424872292105414665129165 y[1] (numeric) = 1.3775238424872292105414665129147 absolute error = 1.8e-30 relative error = 1.3066924466076437396564932618036e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.811 y[1] (analytic) = 1.3780993597812636325008491480398 y[1] (numeric) = 1.378099359781263632500849148038 absolute error = 1.8e-30 relative error = 1.3061467500323792295519998123373e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.812 y[1] (analytic) = 1.3786748542707396421573573872232 y[1] (numeric) = 1.3786748542707396421573573872214 absolute error = 1.8e-30 relative error = 1.3056015306467045411075678750601e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.813 y[1] (analytic) = 1.3792503259694260298095794865816 y[1] (numeric) = 1.3792503259694260298095794865798 absolute error = 1.8e-30 relative error = 1.3050567878132230851670702681311e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.814 y[1] (analytic) = 1.3798257748910791196712537239374 y[1] (numeric) = 1.3798257748910791196712537239356 absolute error = 1.8e-30 relative error = 1.3045125208956823930730165899209e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.815 y[1] (analytic) = 1.380401201049442784915571096748 y[1] (numeric) = 1.3804012010494427849155710967462 absolute error = 1.8e-30 relative error = 1.3039687292589715405373789663099e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.816 y[1] (analytic) = 1.380976604458248462696790185041 y[1] (numeric) = 1.3809766044582484626967901850391 absolute error = 1.9e-30 relative error = 1.3758379351729584995105867080814e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.817 y[1] (analytic) = 1.3815519851312151691492052247427 y[1] (numeric) = 1.3815519851312151691492052247408 absolute error = 1.9e-30 relative error = 1.3752649342540261914406987376328e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.818 y[1] (analytic) = 1.3821273430820495143635083501776 y[1] (numeric) = 1.3821273430820495143635083501757 absolute error = 1.9e-30 relative error = 1.3746924330164323747640466087714e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.8871 Order of pole = 5.274e-27 TOP MAIN SOLVE Loop x[1] = 1.819 y[1] (analytic) = 1.382702678324445717340586878118 y[1] (numeric) = 1.3827026783244457173405868781162 absolute error = 1.8e-30 relative error = 1.3017983028580184147126325637518e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 26.36 Order of pole = 7.013e-26 TOP MAIN SOLVE Loop x[1] = 1.82 y[1] (analytic) = 1.3832779908720856209227964195743 y[1] (numeric) = 1.3832779908720856209227964195724 absolute error = 1.9e-30 relative error = 1.3735489269240434680780287896857e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.821 y[1] (analytic) = 1.3838532807386387067027505195332 y[1] (numeric) = 1.3838532807386387067027505195313 absolute error = 1.9e-30 relative error = 1.3729779207416160218169813740568e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.822 y[1] (analytic) = 1.3844285479377621099096674390782 y[1] (numeric) = 1.3844285479377621099096674390764 absolute error = 1.8e-30 relative error = 1.3001754425544540102129225993621e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.823 y[1] (analytic) = 1.3850037924831006342733146087563 y[1] (numeric) = 1.3850037924831006342733146087545 absolute error = 1.8e-30 relative error = 1.2996354304365293024642061398951e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.023 Order of pole = 2.699e-27 TOP MAIN SOLVE Loop x[1] = 1.824 y[1] (analytic) = 1.3855790143882867668655911966922 y[1] (numeric) = 1.3855790143882867668655911966904 absolute error = 1.8e-30 relative error = 1.2990958879343839844167657538104e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.825 y[1] (analytic) = 1.3861542136669406929197891497971 y[1] (numeric) = 1.3861542136669406929197891497954 absolute error = 1.7e-30 relative error = 1.2264147691783944994849561541702e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=209.8MB, alloc=4.4MB, time=24.46 x[1] = 1.826 y[1] (analytic) = 1.3867293903326703106275729814642 y[1] (numeric) = 1.3867293903326703106275729814624 absolute error = 1.8e-30 relative error = 1.2980182092832026002690481346047e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.827 y[1] (analytic) = 1.3873045443990712459137184943948 y[1] (numeric) = 1.387304544399071245913718494393 absolute error = 1.8e-30 relative error = 1.2974800718898337373013772885168e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.828 y[1] (analytic) = 1.387879675879726867188650542659 y[1] (numeric) = 1.3878796758797268671886505426572 absolute error = 1.8e-30 relative error = 1.2969424016235736891928826014395e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.829 y[1] (analytic) = 1.3884547847882083000788198527478 y[1] (numeric) = 1.3884547847882083000788198527461 absolute error = 1.7e-30 relative error = 1.2243826868725250499293674158290e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.83 y[1] (analytic) = 1.3890298711380744421349588392415 y[1] (numeric) = 1.3890298711380744421349588392398 absolute error = 1.7e-30 relative error = 1.2238757677739055880405350554020e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.831 y[1] (analytic) = 1.3896049349428719775182562667774 y[1] (numeric) = 1.3896049349428719775182562667757 absolute error = 1.7e-30 relative error = 1.2233692880990586494959431391674e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.127 Order of pole = 2.693e-27 TOP MAIN SOLVE Loop x[1] = 1.832 y[1] (analytic) = 1.3901799762161353916644905262702 y[1] (numeric) = 1.3901799762161353916644905262685 absolute error = 1.7e-30 relative error = 1.2228632472661194287695786473318e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.833 y[1] (analytic) = 1.3907549949713869859261612098014 y[1] (numeric) = 1.3907549949713869859261612097997 absolute error = 1.7e-30 relative error = 1.2223576446942585573750905388595e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.834 y[1] (analytic) = 1.3913299912221368921926585852621 y[1] (numeric) = 1.3913299912221368921926585852603 absolute error = 1.8e-30 relative error = 1.2937261550862491920227594388074e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.835 y[1] (analytic) = 1.3919049649818830874885104887008 y[1] (numeric) = 1.3919049649818830874885104886991 absolute error = 1.7e-30 relative error = 1.2213477520156177116369229514978e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.836 y[1] (analytic) = 1.3924799162641114085497460693944 y[1] (numeric) = 1.3924799162641114085497460693927 absolute error = 1.7e-30 relative error = 1.2208434607523354139076531288729e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.837 y[1] (analytic) = 1.3930548450822955663784157399226 y[1] (numeric) = 1.3930548450822955663784157399209 absolute error = 1.7e-30 relative error = 1.2203396054371222268686339009002e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.838 y[1] (analytic) = 1.3936297514498971607753066009941 y[1] (numeric) = 1.3936297514498971607753066009924 absolute error = 1.7e-30 relative error = 1.2198361854942914199706533440657e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.839 y[1] (analytic) = 1.3942046353803656948508925284306 y[1] (numeric) = 1.3942046353803656948508925284289 absolute error = 1.7e-30 relative error = 1.2193332003491779239382763827831e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.84 y[1] (analytic) = 1.3947794968871385895145580275731 y[1] (numeric) = 1.3947794968871385895145580275714 absolute error = 1.7e-30 relative error = 1.2188306494281360562882913409339e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.841 y[1] (analytic) = 1.3953543359836411979421348784329 y[1] (numeric) = 1.3953543359836411979421348784312 absolute error = 1.7e-30 relative error = 1.2183285321585372529340324292742e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.842 y[1] (analytic) = 1.3959291526832868200217905131576 y[1] (numeric) = 1.3959291526832868200217905131559 absolute error = 1.7e-30 relative error = 1.2178268479687678058565683673490e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.843 y[1] (analytic) = 1.3965039469994767167783069858318 y[1] (numeric) = 1.3965039469994767167783069858301 absolute error = 1.7e-30 relative error = 1.2173255962882266068238152088436e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.844 y[1] (analytic) = 1.3970787189456001247757893132727 y[1] (numeric) = 1.397078718945600124775789313271 absolute error = 1.7e-30 relative error = 1.2168247765473228971386990370193e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.845 y[1] (analytic) = 1.3976534685350342704988418843192 y[1] (numeric) = 1.3976534685350342704988418843175 absolute error = 1.7e-30 relative error = 1.2163243881774740233975615232442e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.846 y[1] (analytic) = 1.3982281957811443847122515541421 y[1] (numeric) = 1.3982281957811443847122515541404 absolute error = 1.7e-30 relative error = 1.2158244306111031992400683978501e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.847 y[1] (analytic) = 1.3988029006972837167992159593279 y[1] (numeric) = 1.3988029006972837167992159593262 absolute error = 1.7e-30 relative error = 1.2153249032816372730719476698232e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.848 y[1] (analytic) = 1.3993775832967935490781555089078 y[1] (numeric) = 1.3993775832967935490781555089061 absolute error = 1.7e-30 relative error = 1.2148258056235045017419509513736e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.849 y[1] (analytic) = 1.3999522435930032110981474261102 y[1] (numeric) = 1.3999522435930032110981474261085 absolute error = 1.7e-30 relative error = 1.2143271370721323301544974964136e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.85 y[1] (analytic) = 1.4005268815992300939130201354198 y[1] (numeric) = 1.4005268815992300939130201354181 absolute error = 1.7e-30 relative error = 1.2138288970639451767995265495984e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.851 y[1] (analytic) = 1.4011014973287796643341462095182 y[1] (numeric) = 1.4011014973287796643341462095165 absolute error = 1.7e-30 relative error = 1.2133310850363622251811493260200e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.852 y[1] (analytic) = 1.4016760907949454791619720108663 y[1] (numeric) = 1.4016760907949454791619720108645 absolute error = 1.8e-30 relative error = 1.2841768592764890576636254845528e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.853 y[1] (analytic) = 1.402250662011009199396322083062 y[1] (numeric) = 1.4022506620110091993963220830602 absolute error = 1.8e-30 relative error = 1.2836506687175078216029159376199e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.854 y[1] (analytic) = 1.4028252109902406044255162676742 y[1] (numeric) = 1.4028252109902406044255162676725 absolute error = 1.7e-30 relative error = 1.2118402112263056755075835595357e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.855 y[1] (analytic) = 1.4033997377458976061943374430055 y[1] (numeric) = 1.4033997377458976061943374430038 absolute error = 1.7e-30 relative error = 1.2113441055151496949572457627831e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.856 y[1] (analytic) = 1.4039742422912262633508877021803 y[1] (numeric) = 1.4039742422912262633508877021786 absolute error = 1.7e-30 relative error = 1.2108484249865384194896524100575e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.857 y[1] (analytic) = 1.404548724639460795372370709088 y[1] (numeric) = 1.4045487246394607953723707090863 absolute error = 1.7e-30 relative error = 1.2103531690838135707253649426359e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 memory used=213.6MB, alloc=4.4MB, time=24.92 TOP MAIN SOLVE Loop x[1] = 1.858 y[1] (analytic) = 1.405123184803823596669837892028 y[1] (numeric) = 1.4051231848038235966698378920263 absolute error = 1.7e-30 relative error = 1.2098583372512963389334221268532e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.859 y[1] (analytic) = 1.405697622797525250671936056412 y[1] (numeric) = 1.4056976227975252506719360564104 absolute error = 1.6e-30 relative error = 1.1382248742910919727016255622270e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.86 y[1] (analytic) = 1.406272038633764543887693919572 y[1] (numeric) = 1.4062720386337645438876939195703 absolute error = 1.7e-30 relative error = 1.2088699435790538641059708285077e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.615 Order of pole = 1.61e-28 TOP MAIN SOLVE Loop x[1] = 1.861 y[1] (analytic) = 1.4068464323257284799483849926026 y[1] (numeric) = 1.4068464323257284799483849926009 absolute error = 1.7e-30 relative error = 1.2083763806328489151905750013023e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.862 y[1] (analytic) = 1.4074208038865922936285041562345 y[1] (numeric) = 1.4074208038865922936285041562328 absolute error = 1.7e-30 relative error = 1.2078832395438878760252036274332e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.863 y[1] (analytic) = 1.4079951533295194648458951999838 y[1] (numeric) = 1.4079951533295194648458951999821 absolute error = 1.7e-30 relative error = 1.2073905197613569640379510597118e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.864 y[1] (analytic) = 1.4085694806676617326410665162613 y[1] (numeric) = 1.4085694806676617326410665162596 absolute error = 1.7e-30 relative error = 1.2068982207354089787763799125145e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.865 y[1] (analytic) = 1.4091437859141591091357320637469 y[1] (numeric) = 1.4091437859141591091357320637452 absolute error = 1.7e-30 relative error = 1.2064063419171611740226428113156e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.866 y[1] (analytic) = 1.4097180690821398934706146371366 y[1] (numeric) = 1.4097180690821398934706146371349 absolute error = 1.7e-30 relative error = 1.2059148827586931355389842889642e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.867 y[1] (analytic) = 1.4102923301847206857225484033612 y[1] (numeric) = 1.4102923301847206857225484033595 absolute error = 1.7e-30 relative error = 1.2054238427130446644262307363082e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.868 y[1] (analytic) = 1.4108665692350064008009175875442 y[1] (numeric) = 1.4108665692350064008009175875424 absolute error = 1.8e-30 relative error = 1.2758116460126968229060517059230e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.869 y[1] (analytic) = 1.4114407862460902823234681153218 y[1] (numeric) = 1.4114407862460902823234681153201 absolute error = 1.7e-30 relative error = 1.2044430177771540447129251619956e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.87 y[1] (analytic) = 1.4120149812310539164715289416845 y[1] (numeric) = 1.4120149812310539164715289416827 absolute error = 1.8e-30 relative error = 1.2747740101388191095554030111483e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.871 y[1] (analytic) = 1.4125891542029672458246797202128 y[1] (numeric) = 1.412589154202967245824679720211 absolute error = 1.8e-30 relative error = 1.2742558546795750059254053578552e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.872 y[1] (analytic) = 1.4131633051748885831749013904843 y[1] (numeric) = 1.4131633051748885831749013904825 absolute error = 1.8e-30 relative error = 1.2737381401063465494817437329628e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.531 Order of pole = 7.150e-27 TOP MAIN SOLVE Loop x[1] = 1.873 y[1] (analytic) = 1.4137374341598646253202461855016 y[1] (numeric) = 1.4137374341598646253202461854999 absolute error = 1.7e-30 relative error = 1.2024863732990499326905746314754e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.874 y[1] (analytic) = 1.4143115411709304668380634852543 y[1] (numeric) = 1.4143115411709304668380634852526 absolute error = 1.7e-30 relative error = 1.2019982518084690349563103797992e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.875 y[1] (analytic) = 1.4148856262211096138378178669628 y[1] (numeric) = 1.4148856262211096138378178669611 absolute error = 1.7e-30 relative error = 1.2015105450893417072237820604384e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.876 y[1] (analytic) = 1.415459689323413997693535627173 y[1] (numeric) = 1.4154596893234139976935356271713 absolute error = 1.7e-30 relative error = 1.2010232526032553573856585575378e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.877 y[1] (analytic) = 1.4160337304908439887559159756632 y[1] (numeric) = 1.4160337304908439887559159756615 absolute error = 1.7e-30 relative error = 1.2005363738127367471897670866113e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.878 y[1] (analytic) = 1.4166077497363884100441430261009 y[1] (numeric) = 1.4166077497363884100441430260992 absolute error = 1.7e-30 relative error = 1.2000499081812499362099631810235e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.879 y[1] (analytic) = 1.4171817470730245509174346335392 y[1] (numeric) = 1.4171817470730245509174346335375 absolute error = 1.7e-30 relative error = 1.1995638551731942312260044182776e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.88 y[1] (analytic) = 1.4177557225137181807263640541696 y[1] (numeric) = 1.4177557225137181807263640541679 absolute error = 1.7e-30 relative error = 1.1990782142539021409958153716819e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.881 y[1] (analytic) = 1.418329676071423562443990328256 y[1] (numeric) = 1.4183296760714235624439903282544 absolute error = 1.6e-30 relative error = 1.1280875151902469048504372633780e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.85 Order of pole = 5.687e-26 TOP MAIN SOLVE Loop x[1] = 1.882 y[1] (analytic) = 1.4189036077590834662768332128552 y[1] (numeric) = 1.4189036077590834662768332128536 absolute error = 1.6e-30 relative error = 1.1276312155742048150279835439811e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.883 y[1] (analytic) = 1.4194775175896291832557284167867 y[1] (numeric) = 1.419477517589629183255728416785 absolute error = 1.7e-30 relative error = 1.1976237586958878766887070449394e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.884 y[1] (analytic) = 1.4200514055759805388065988163492 y[1] (numeric) = 1.4200514055759805388065988163475 absolute error = 1.7e-30 relative error = 1.1971397608035680902309012010734e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.885 y[1] (analytic) = 1.420625271731045906301177256488 y[1] (numeric) = 1.4206252717310459063011772564862 absolute error = 1.8e-30 relative error = 1.2670477118900484187814413640693e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.886 y[1] (analytic) = 1.4211991160677222205877164684984 y[1] (numeric) = 1.4211991160677222205877164684967 absolute error = 1.7e-30 relative error = 1.1961729927778765299499578829441e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.887 y[1] (analytic) = 1.4217729385988949915017215619104 y[1] (numeric) = 1.4217729385988949915017215619087 absolute error = 1.7e-30 relative error = 1.1956902215872019325942755616917e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.888 y[1] (analytic) = 1.4223467393374383173567404749237 y[1] (numeric) = 1.422346739337438317356740474922 absolute error = 1.7e-30 relative error = 1.1952078582413026303732406852572e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=217.4MB, alloc=4.4MB, time=25.37 x[1] = 1.889 y[1] (analytic) = 1.422920518296214898415247694671 y[1] (numeric) = 1.4229205182962148984152476946693 absolute error = 1.7e-30 relative error = 1.1947259022138187961962247243639e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.89 y[1] (analytic) = 1.423494275488076050339656485657 y[1] (numeric) = 1.4234942754880760503396564856553 absolute error = 1.7e-30 relative error = 1.1942443529793036456415835637526e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.891 y[1] (analytic) = 1.4240680109258617176234947919722 y[1] (numeric) = 1.4240680109258617176234947919705 absolute error = 1.7e-30 relative error = 1.1937632100132214499653159481777e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.892 y[1] (analytic) = 1.4246417246224004870027799062958 y[1] (numeric) = 1.4246417246224004870027799062941 absolute error = 1.7e-30 relative error = 1.1932824727919455543072467417520e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.043 Order of pole = 2.621e-27 TOP MAIN SOLVE Loop x[1] = 1.893 y[1] (analytic) = 1.4252154165905096008476269262944 y[1] (numeric) = 1.4252154165905096008476269262926 absolute error = 1.8e-30 relative error = 1.2629669726040950129070313694716e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.894 y[1] (analytic) = 1.4257890868429949705341259467828 y[1] (numeric) = 1.425789086842994970534125946781 absolute error = 1.8e-30 relative error = 1.2624588142875948266650439336213e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.895 y[1] (analytic) = 1.4263627353926511897965228639446 y[1] (numeric) = 1.4263627353926511897965228639428 absolute error = 1.8e-30 relative error = 1.2619510839257122105279604218894e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.896 y[1] (analytic) = 1.4269363622522615480597385960098 y[1] (numeric) = 1.426936362252261548059738596008 absolute error = 1.8e-30 relative error = 1.2614437809678482627543559497492e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.897 y[1] (analytic) = 1.4275099674345980437522614530581 y[1] (numeric) = 1.4275099674345980437522614530563 absolute error = 1.8e-30 relative error = 1.2609369048643562205341291167553e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.898 y[1] (analytic) = 1.4280835509524213975994473170553 y[1] (numeric) = 1.4280835509524213975994473170535 absolute error = 1.8e-30 relative error = 1.2604304550665393942872734354464e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.899 y[1] (analytic) = 1.4286571128184810658972622218366 y[1] (numeric) = 1.4286571128184810658972622218347 absolute error = 1.9e-30 relative error = 1.3299202327503518355355773902612e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.9 y[1] (analytic) = 1.4292306530455152537665018515263 y[1] (numeric) = 1.4292306530455152537665018515244 absolute error = 1.9e-30 relative error = 1.3293865450977650099742872416723e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.901 y[1] (analytic) = 1.4298041716462509283875224048286 y[1] (numeric) = 1.4298041716462509283875224048267 absolute error = 1.9e-30 relative error = 1.3288533057029579175137511364634e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.902 y[1] (analytic) = 1.4303776686334038322155172017298 y[1] (numeric) = 1.4303776686334038322155172017279 absolute error = 1.9e-30 relative error = 1.3283205139907404482966099183785e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.903 y[1] (analytic) = 1.4309511440196784961763733384335 y[1] (numeric) = 1.4309511440196784961763733384316 absolute error = 1.9e-30 relative error = 1.3277881693869145301760811533327e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.904 y[1] (analytic) = 1.4315245978177682528431426257908 y[1] (numeric) = 1.4315245978177682528431426257889 absolute error = 1.9e-30 relative error = 1.3272562713182719821117769084559e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.568 Order of pole = 6.373e-27 TOP MAIN SOLVE Loop x[1] = 1.905 y[1] (analytic) = 1.4320980300403552495931609760968 y[1] (numeric) = 1.432098030040355249593160976095 absolute error = 1.8e-30 relative error = 1.2568971971487717219303184564839e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.906 y[1] (analytic) = 1.4326714407001104617458503328995 y[1] (numeric) = 1.4326714407001104617458503328977 absolute error = 1.8e-30 relative error = 1.2563941381566071560695019421698e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.907 y[1] (analytic) = 1.433244829809693705681237168405 y[1] (numeric) = 1.4332448298096937056812371684032 absolute error = 1.8e-30 relative error = 1.2558915005742627081660000396950e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.908 y[1] (analytic) = 1.4338181973817536519392215031684 y[1] (numeric) = 1.4338181973817536519392215031665 absolute error = 1.9e-30 relative error = 1.3251331329658983168732976583895e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.909 y[1] (analytic) = 1.4343915434289278382996303330247 y[1] (numeric) = 1.4343915434289278382996303330229 absolute error = 1.8e-30 relative error = 1.2548874874827282934453127453834e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.91 y[1] (analytic) = 1.4349648679638426828430892786492 y[1] (numeric) = 1.4349648679638426828430892786474 absolute error = 1.8e-30 relative error = 1.2543861108977026442775266736316e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.911 y[1] (analytic) = 1.435538170999113496992746203726 y[1] (numeric) = 1.4355381709991134969927462037241 absolute error = 1.9e-30 relative error = 1.3235454398803118464849869499382e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.912 y[1] (analytic) = 1.4361114525473444985368804784651 y[1] (numeric) = 1.4361114525473444985368804784633 absolute error = 1.8e-30 relative error = 1.2533846149664760325630584535884e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.913 y[1] (analytic) = 1.4366847126211288246324314961271 y[1] (numeric) = 1.4366847126211288246324314961253 absolute error = 1.8e-30 relative error = 1.2528844945499756431597468019642e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.51 Order of pole = 3.943e-27 TOP MAIN SOLVE Loop x[1] = 1.914 y[1] (analytic) = 1.4372579512330485447894799812925 y[1] (numeric) = 1.4372579512330485447894799812907 absolute error = 1.8e-30 relative error = 1.2523847917875484737933698506021e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.915 y[1] (analytic) = 1.4378311683956746738367155598603 y[1] (numeric) = 1.4378311683956746738367155598586 absolute error = 1.7e-30 relative error = 1.1823363113604305075386683265217e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.596 Order of pole = 9.58e-28 TOP MAIN SOLVE Loop x[1] = 1.916 y[1] (analytic) = 1.4384043641215671848679239921621 y[1] (numeric) = 1.4384043641215671848679239921604 absolute error = 1.7e-30 relative error = 1.1818651572558243294782739849807e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.917 y[1] (analytic) = 1.4389775384232750221695274021411 y[1] (numeric) = 1.4389775384232750221695274021394 absolute error = 1.7e-30 relative error = 1.1813943960951149056795664876681e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.918 y[1] (analytic) = 1.439550691313336114129210767274 y[1] (numeric) = 1.4395506913133361141292107672723 absolute error = 1.7e-30 relative error = 1.1809240273776325492241210051536e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.919 y[1] (analytic) = 1.4401238228042773861256678657939 y[1] (numeric) = 1.4401238228042773861256678657922 absolute error = 1.7e-30 relative error = 1.1804540506035650466027134719741e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.92 y[1] (analytic) = 1.4406969329086147733994998098201 y[1] (numeric) = 1.4406969329086147733994998098185 absolute error = 1.6e-30 relative error = 1.1105736143754878260757986013478e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.974 Order of pole = 2.985e-27 memory used=221.2MB, alloc=4.4MB, time=25.82 TOP MAIN SOLVE Loop x[1] = 1.921 y[1] (analytic) = 1.4412700216388532339052992252007 y[1] (numeric) = 1.4412700216388532339052992251991 absolute error = 1.6e-30 relative error = 1.1101320196618372381848175945620e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.922 y[1] (analytic) = 1.4418430890074867611449530712362 y[1] (numeric) = 1.4418430890074867611449530712346 absolute error = 1.6e-30 relative error = 1.1096907924296969114177480108840e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.923 y[1] (analytic) = 1.4424161350269983969821970259729 y[1] (numeric) = 1.4424161350269983969821970259713 absolute error = 1.6e-30 relative error = 1.1092499322118661893487962794051e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.924 y[1] (analytic) = 1.4429891597098602444384542954298 y[1] (numeric) = 1.4429891597098602444384542954282 absolute error = 1.6e-30 relative error = 1.1088094385419428233701312249613e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.925 y[1] (analytic) = 1.4435621630685334804699916379593 y[1] (numeric) = 1.4435621630685334804699916379577 absolute error = 1.6e-30 relative error = 1.1083693109543212608255193891767e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.926 y[1] (analytic) = 1.4441351451154683687264253279314 y[1] (numeric) = 1.4441351451154683687264253279297 absolute error = 1.7e-30 relative error = 1.1771751457957028711531553279508e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.927 y[1] (analytic) = 1.4447081058631042722906097160798 y[1] (numeric) = 1.4447081058631042722906097160782 absolute error = 1.6e-30 relative error = 1.1074901521675345748437006588692e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.928 y[1] (analytic) = 1.4452810453238696663999409771536 y[1] (numeric) = 1.4452810453238696663999409771519 absolute error = 1.7e-30 relative error = 1.1762418150436968857888375705618e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.929 y[1] (analytic) = 1.4458539635101821511491085689722 y[1] (numeric) = 1.4458539635101821511491085689706 absolute error = 1.6e-30 relative error = 1.1066124521425308557787821689355e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.93 y[1] (analytic) = 1.4464268604344484641743268606048 y[1] (numeric) = 1.4464268604344484641743268606031 absolute error = 1.7e-30 relative error = 1.1753100322607313594519716712175e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.931 y[1] (analytic) = 1.446999736109064493319079321154 y[1] (numeric) = 1.4469997361090644933190793211523 absolute error = 1.7e-30 relative error = 1.1748447201319089638522351464854e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.932 y[1] (analytic) = 1.4475725905464152892814075945582 y[1] (numeric) = 1.4475725905464152892814075945565 absolute error = 1.7e-30 relative error = 1.1743797935261408378796216583663e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.933 y[1] (analytic) = 1.4481454237588750782427777198958 y[1] (numeric) = 1.4481454237588750782427777198942 absolute error = 1.6e-30 relative error = 1.1048614136051087793984603706748e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.934 y[1] (analytic) = 1.4487182357588072744785556909124 y[1] (numeric) = 1.4487182357588072744785556909107 absolute error = 1.7e-30 relative error = 1.1734510949326021101130926812770e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.935 y[1] (analytic) = 1.4492910265585644929501244828716 y[1] (numeric) = 1.44929102655856449295012448287 absolute error = 1.6e-30 relative error = 1.1039880677377156854906898160410e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.198 Order of pole = 3.282e-27 TOP MAIN SOLVE Loop x[1] = 1.936 y[1] (analytic) = 1.4498637961704885618786746093733 y[1] (numeric) = 1.4498637961704885618786746093717 absolute error = 1.6e-30 relative error = 1.1035519365516021322729069534278e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.937 y[1] (analytic) = 1.4504365446069105353007002064658 y[1] (numeric) = 1.4504365446069105353007002064643 absolute error = 1.5e-30 relative error = 1.0341714055519208420218942003714e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.349 Order of pole = 2.008e-27 TOP MAIN SOLVE Loop x[1] = 1.938 y[1] (analytic) = 1.4510092718801507056052325762277 y[1] (numeric) = 1.4510092718801507056052325762261 absolute error = 1.6e-30 relative error = 1.1026807553936536874704536881649e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.939 y[1] (analytic) = 1.4515819780025186160528430569815 y[1] (numeric) = 1.4515819780025186160528430569799 absolute error = 1.6e-30 relative error = 1.1022457045117873916415069376920e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.94 y[1] (analytic) = 1.4521546629863130732764470224524 y[1] (numeric) = 1.4521546629863130732764470224509 absolute error = 1.5e-30 relative error = 1.0329478245211804145020845178731e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.941 y[1] (analytic) = 1.4527273268438221597639407474754 y[1] (numeric) = 1.4527273268438221597639407474738 absolute error = 1.6e-30 relative error = 1.1013766798729811676137925564867e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.942 y[1] (analytic) = 1.4532999695873232463227028133021 y[1] (numeric) = 1.4532999695873232463227028133006 absolute error = 1.5e-30 relative error = 1.0321337861349695205889510554078e-28 % Correct digits = 29 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.447 Order of pole = 9.729e-27 TOP MAIN SOLVE Loop x[1] = 1.943 y[1] (analytic) = 1.4538725912290830045259916611568 y[1] (numeric) = 1.4538725912290830045259916611554 absolute error = 1.4e-30 relative error = 9.6294545233599878944566285031219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.944 y[1] (analytic) = 1.4544451917813574191412708384312 y[1] (numeric) = 1.4544451917813574191412708384297 absolute error = 1.5e-30 relative error = 1.0313210896333938341565791890391e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.945 y[1] (analytic) = 1.4550177712563918005404934178064 y[1] (numeric) = 1.455017771256391800540493417805 absolute error = 1.4e-30 relative error = 9.6218756063103987949308868352558e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.946 y[1] (analytic) = 1.4555903296664207970923770056348 y[1] (numeric) = 1.4555903296664207970923770056334 absolute error = 1.4e-30 relative error = 9.6180908286251084617372271467226e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.947 y[1] (analytic) = 1.4561628670236684075367006921006 y[1] (numeric) = 1.4561628670236684075367006920993 absolute error = 1.3e-30 relative error = 8.9275727972458307225336097657445e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.948 y[1] (analytic) = 1.4567353833403479933406552320262 y[1] (numeric) = 1.4567353833403479933406552320248 absolute error = 1.4e-30 relative error = 9.6105306153115354033655584784146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.949 y[1] (analytic) = 1.457307878628662291037277681671 y[1] (numeric) = 1.4573078786286622910372776816696 absolute error = 1.4e-30 relative error = 9.6067551718543549136209534444638e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.95 y[1] (analytic) = 1.4578803529008034245460016535121 y[1] (numeric) = 1.4578803529008034245460016535107 absolute error = 1.4e-30 relative error = 9.6029828319886707541608628185484e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.832 Order of pole = 8.481e-27 TOP MAIN SOLVE Loop x[1] = 1.951 y[1] (analytic) = 1.4584528061689529174753542877708 y[1] (numeric) = 1.4584528061689529174753542877694 absolute error = 1.4e-30 relative error = 9.5992135918165492275747449444925e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=225.0MB, alloc=4.4MB, time=26.27 x[1] = 1.952 y[1] (analytic) = 1.4590252384452817054078309763838 y[1] (numeric) = 1.4590252384452817054078309763823 absolute error = 1.5e-30 relative error = 1.0280836550835683054596156523812e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.953 y[1] (analytic) = 1.4595976497419501481669788121874 y[1] (numeric) = 1.4595976497419501481669788121859 absolute error = 1.5e-30 relative error = 1.0276804708922303302183512561321e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.954 y[1] (analytic) = 1.460170040071108042066719673308 y[1] (numeric) = 1.4601700400711080420667196733065 absolute error = 1.5e-30 relative error = 1.0272776175622342586594812489654e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.955 y[1] (analytic) = 1.4607424094448946321429437901136 y[1] (numeric) = 1.4607424094448946321429437901121 absolute error = 1.5e-30 relative error = 1.0268750946787557685649040234854e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.956 y[1] (analytic) = 1.461314757875438624367404579595 y[1] (numeric) = 1.4613147578754386243674045795935 absolute error = 1.5e-30 relative error = 1.0264729018276696803887589324552e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.957 y[1] (analytic) = 1.4618870853748581978439454696996 y[1] (numeric) = 1.4618870853748581978439454696981 absolute error = 1.5e-30 relative error = 1.0260710385955484787747524839839e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.958 y[1] (analytic) = 1.4624593919552610169870893739399 y[1] (numeric) = 1.4624593919552610169870893739384 absolute error = 1.5e-30 relative error = 1.0256695045696608378318667968692e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.959 y[1] (analytic) = 1.4630316776287442436830214145435 y[1] (numeric) = 1.463031677628744243683021414542 absolute error = 1.5e-30 relative error = 1.0252682993379701501572958441708e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.96 y[1] (analytic) = 1.4636039424073945494329954304972 y[1] (numeric) = 1.4636039424073945494329954304957 absolute error = 1.5e-30 relative error = 1.0248674224891330595954928556635e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.961 y[1] (analytic) = 1.4641761863032881274791947450689 y[1] (numeric) = 1.4641761863032881274791947450675 absolute error = 1.4e-30 relative error = 9.5616908203833146454076661809888e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.962 y[1] (analytic) = 1.4647484093284907049130776057641 y[1] (numeric) = 1.4647484093284907049130776057627 absolute error = 1.4e-30 relative error = 9.5579554214489680910658403176157e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.963 y[1] (analytic) = 1.4653206114950575547662376481872 y[1] (numeric) = 1.4653206114950575547662376481858 absolute error = 1.4e-30 relative error = 9.5542230759423267856653590989814e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.964 y[1] (analytic) = 1.465892792815033508083809673938 y[1] (numeric) = 1.4658927928150335080838096739367 absolute error = 1.3e-30 relative error = 8.8683156529035075456046673953168e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.965 y[1] (analytic) = 1.4664649533004529659804509714712 y[1] (numeric) = 1.4664649533004529659804509714698 absolute error = 1.4e-30 relative error = 9.5467675299647242098776804293470e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.966 y[1] (analytic) = 1.4670370929633399116789283477854 y[1] (numeric) = 1.4670370929633399116789283477841 absolute error = 1.3e-30 relative error = 8.8613982988941777522496867445210e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.967 y[1] (analytic) = 1.4676092118157079225313409778944 y[1] (numeric) = 1.4676092118157079225313409778931 absolute error = 1.3e-30 relative error = 8.8579438554467514988731379684132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.968 y[1] (analytic) = 1.4681813098695601820230091182476 y[1] (numeric) = 1.4681813098695601820230091182462 absolute error = 1.4e-30 relative error = 9.5356070165774163434504388707569e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.434 Order of pole = 2.765e-27 TOP MAIN SOLVE Loop x[1] = 1.969 y[1] (analytic) = 1.4687533871368894917590586696362 y[1] (numeric) = 1.4687533871368894917590586696349 absolute error = 1.3e-30 relative error = 8.8510434180795425562901050727156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.97 y[1] (analytic) = 1.4693254436296782834337315146188 y[1] (numeric) = 1.4693254436296782834337315146175 absolute error = 1.3e-30 relative error = 8.8475974171427044742604822995613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.971 y[1] (analytic) = 1.4698974793598986307824514941407 y[1] (numeric) = 1.4698974793598986307824514941394 absolute error = 1.3e-30 relative error = 8.8441542233687993178609522972528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.972 y[1] (analytic) = 1.4704694943395122615166758278058 y[1] (numeric) = 1.4704694943395122615166758278045 absolute error = 1.3e-30 relative error = 8.8407138332639692646672407927712e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.973 y[1] (analytic) = 1.471041488580470569241561722175 y[1] (numeric) = 1.4710414885804705692415617221736 absolute error = 1.4e-30 relative error = 9.5170667235971408995662825707123e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.974 y[1] (analytic) = 1.4716134620947146253564778515228 y[1] (numeric) = 1.4716134620947146253564778515215 absolute error = 1.3e-30 relative error = 8.8338414501153197636308402165204e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.975 y[1] (analytic) = 1.4721854148941751909383903356832 y[1] (numeric) = 1.4721854148941751909383903356819 absolute error = 1.3e-30 relative error = 8.8304094501129644692166971749139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.976 y[1] (analytic) = 1.472757346990772728608152779942 y[1] (numeric) = 1.4727573469907727286081527799406 absolute error = 1.4e-30 relative error = 9.5059787198520179886043365874190e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 18.2 Order of pole = 9.462e-26 TOP MAIN SOLVE Loop x[1] = 1.977 y[1] (analytic) = 1.4733292583964174143797298824103 y[1] (numeric) = 1.4733292583964174143797298824089 absolute error = 1.4e-30 relative error = 9.5022887248147808607621256932219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.978 y[1] (analytic) = 1.4739011491230091494923840549167 y[1] (numeric) = 1.4739011491230091494923840549154 absolute error = 1.3e-30 relative error = 8.8201301747645515193163743044877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.979 y[1] (analytic) = 1.4744730191824375722258544442011 y[1] (numeric) = 1.4744730191824375722258544441998 absolute error = 1.3e-30 relative error = 8.8167093130047305110534111166925e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.98 y[1] (analytic) = 1.4750448685865820696985576810726 y[1] (numeric) = 1.4750448685865820696985576810712 absolute error = 1.4e-30 relative error = 9.4912367061858153110001553203176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.981 y[1] (analytic) = 1.4756166973473117896488396262111 y[1] (numeric) = 1.4756166973473117896488396262098 absolute error = 1.3e-30 relative error = 8.8098759138263032474921772920029e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.982 y[1] (analytic) = 1.4761885054764856521993073224436 y[1] (numeric) = 1.4761885054764856521993073224422 absolute error = 1.4e-30 relative error = 9.4838836287246834534758728688035e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.983 y[1] (analytic) = 1.4767602929859523616042703046102 y[1] (numeric) = 1.4767602929859523616042703046089 absolute error = 1.3e-30 relative error = 8.8030535908535984137694723198537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=228.8MB, alloc=4.4MB, time=26.72 TOP MAIN SOLVE Loop x[1] = 1.984 y[1] (analytic) = 1.4773320598875504179803203595626 y[1] (numeric) = 1.4773320598875504179803203595613 absolute error = 1.3e-30 relative error = 8.7996465743723970758538076023867e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.985 y[1] (analytic) = 1.4779038061931081290200787703854 y[1] (numeric) = 1.4779038061931081290200787703841 absolute error = 1.3e-30 relative error = 8.7962423166676479239143844960444e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.986 y[1] (analytic) = 1.4784755319144436216891400206301 y[1] (numeric) = 1.4784755319144436216891400206287 absolute error = 1.4e-30 relative error = 9.4692131846590150979467612265226e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.449 Order of pole = 2.177e-27 TOP MAIN SOLVE Loop x[1] = 1.987 y[1] (analytic) = 1.4790472370633648539062408761672 y[1] (numeric) = 1.4790472370633648539062408761658 absolute error = 1.4e-30 relative error = 9.4655529919361301761616325504683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.988 y[1] (analytic) = 1.4796189216516696262066837042263 y[1] (numeric) = 1.4796189216516696262066837042249 absolute error = 1.4e-30 relative error = 9.4618957591945865143468641007312e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.989 y[1] (analytic) = 1.480190585691145593389042831279 y[1] (numeric) = 1.4801905856911455933890428312776 absolute error = 1.4e-30 relative error = 9.4582414827770155543647234133220e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.99 y[1] (analytic) = 1.480762229193570276145182683647 y[1] (numeric) = 1.4807622291935702761451826836457 absolute error = 1.3e-30 relative error = 8.7792622905298294004979997885485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.991 y[1] (analytic) = 1.4813338521707110726736163970716 y[1] (numeric) = 1.4813338521707110726736163970702 absolute error = 1.4e-30 relative error = 9.4509417843146810029314976236485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.992 y[1] (analytic) = 1.4819054546343252702762335239676 y[1] (numeric) = 1.4819054546343252702762335239663 absolute error = 1.3e-30 relative error = 8.7724894724865411315029558859021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.993 y[1] (analytic) = 1.4824770365961600569384254097082 y[1] (numeric) = 1.4824770365961600569384254097069 absolute error = 1.3e-30 relative error = 8.7691071625963510537962931849007e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.994 y[1] (analytic) = 1.4830485980679525328926367520325 y[1] (numeric) = 1.4830485980679525328926367520312 absolute error = 1.3e-30 relative error = 8.7657275809678804660630459761783e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.995 y[1] (analytic) = 1.4836201390614297221653718005557 y[1] (numeric) = 1.4836201390614297221653718005544 absolute error = 1.3e-30 relative error = 8.7623507242386733532298552317605e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.996 y[1] (analytic) = 1.4841916595883085841076835963694 y[1] (numeric) = 1.4841916595883085841076835963681 absolute error = 1.3e-30 relative error = 8.7589765890518448767690865579348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.997 y[1] (analytic) = 1.4847631596602960249091745948664 y[1] (numeric) = 1.4847631596602960249091745948651 absolute error = 1.3e-30 relative error = 8.7556051720560697918132863817137e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.998 y[1] (analytic) = 1.485334639289088909095536958195 y[1] (numeric) = 1.4853346392890889090955369581937 absolute error = 1.3e-30 relative error = 8.7522364699055708932193192646058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 1.999 y[1] (analytic) = 1.4859060984863740710096607471528 y[1] (numeric) = 1.4859060984863740710096607471515 absolute error = 1.3e-30 relative error = 8.7488704792601074904977069596603e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2 y[1] (analytic) = 1.4864775372638283262763381858608 y[1] (numeric) = 1.4864775372638283262763381858595 absolute error = 1.3e-30 relative error = 8.7455071967849639115229716357701e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.001 y[1] (analytic) = 1.4870489556331184832505921162206 y[1] (numeric) = 1.4870489556331184832505921162193 absolute error = 1.3e-30 relative error = 8.7421466191509380349410664436984e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.002 y[1] (analytic) = 1.4876203536059013544496567029474 y[1] (numeric) = 1.4876203536059013544496567029462 absolute error = 1.2e-30 relative error = 8.0665742243393814010986981190859e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.003 y[1] (analytic) = 1.4881917311938237679686383938909 y[1] (numeric) = 1.4881917311938237679686383938896 absolute error = 1.3e-30 relative error = 8.7354335651169300520520903790590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.004 y[1] (analytic) = 1.4887630884085225788798850843997 y[1] (numeric) = 1.4887630884085225788798850843984 absolute error = 1.3e-30 relative error = 8.7320810820860086486493855288459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.005 y[1] (analytic) = 1.4893344252616246806160913786648 y[1] (numeric) = 1.4893344252616246806160913786635 absolute error = 1.3e-30 relative error = 8.7287312906343036178084161481237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.006 y[1] (analytic) = 1.4899057417647470163371677852721 y[1] (numeric) = 1.4899057417647470163371677852708 absolute error = 1.3e-30 relative error = 8.7253841874600095767027818941407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.007 y[1] (analytic) = 1.4904770379294965902809016286289 y[1] (numeric) = 1.4904770379294965902809016286276 absolute error = 1.3e-30 relative error = 8.7220397692667664856966988449253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.008 y[1] (analytic) = 1.4910483137674704790974374024816 y[1] (numeric) = 1.4910483137674704790974374024804 absolute error = 1.2e-30 relative error = 8.0480289533202908116668307675705e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.009 y[1] (analytic) = 1.4916195692902558431676042364243 y[1] (numeric) = 1.4916195692902558431676042364231 absolute error = 1.2e-30 relative error = 8.0449467458447558078707108323315e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.01 y[1] (analytic) = 1.4921908045094299379051180911056 y[1] (numeric) = 1.4921908045094299379051180911044 absolute error = 1.2e-30 relative error = 8.0418670077149411179581024394062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.011 y[1] (analytic) = 1.4927620194365601250426862427768 y[1] (numeric) = 1.4927620194365601250426862427756 absolute error = 1.2e-30 relative error = 8.0387897359080549782531121592586e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.012 y[1] (analytic) = 1.4933332140832038839020415628806 y[1] (numeric) = 1.4933332140832038839020415628794 absolute error = 1.2e-30 relative error = 8.0357149274062803428077944731974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.013 y[1] (analytic) = 1.4939043884609088226479340435669 y[1] (numeric) = 1.4939043884609088226479340435657 absolute error = 1.2e-30 relative error = 8.0326425791967646098585225727259e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.176 Order of pole = 4.753e-27 TOP MAIN SOLVE Loop x[1] = 2.014 y[1] (analytic) = 1.4944755425812126895261069653287 y[1] (numeric) = 1.4944755425812126895261069653275 absolute error = 1.2e-30 relative error = 8.0295726882716093737881225449926e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.015 memory used=232.7MB, alloc=4.4MB, time=27.16 y[1] (analytic) = 1.4950466764556433840852850483876 y[1] (numeric) = 1.4950466764556433840852850483865 absolute error = 1.1e-30 relative error = 7.3576298139922051856431840693159e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.016 y[1] (analytic) = 1.4956177900957189683832018750141 y[1] (numeric) = 1.495617790095718968383201875013 absolute error = 1.1e-30 relative error = 7.3548202440785384035803113074353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.017 y[1] (analytic) = 1.4961888835129476781766938156496 y[1] (numeric) = 1.4961888835129476781766938156485 absolute error = 1.1e-30 relative error = 7.3520129184309692826168229776438e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.018 y[1] (analytic) = 1.4967599567188279340958876375048 y[1] (numeric) = 1.4967599567188279340958876375036 absolute error = 1.2e-30 relative error = 8.0173176374294503945802151422133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.019 y[1] (analytic) = 1.4973310097248483528025089202334 y[1] (numeric) = 1.4973310097248483528025089202322 absolute error = 1.2e-30 relative error = 8.0142599879803042593512611343554e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.587 Order of pole = 1.048e-26 TOP MAIN SOLVE Loop x[1] = 2.02 y[1] (analytic) = 1.4979020425424877581323383493364 y[1] (numeric) = 1.4979020425424877581323383493352 absolute error = 1.2e-30 relative error = 8.0112047778715956113993737838765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.021 y[1] (analytic) = 1.498473055183215192221842904121 y[1] (numeric) = 1.4984730551832151922218429041198 absolute error = 1.2e-30 relative error = 8.0081520041298206000918838200865e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.022 y[1] (analytic) = 1.4990440476584899266190089033389 y[1] (numeric) = 1.4990440476584899266190089033377 absolute error = 1.2e-30 relative error = 8.0051016637863484960262954148035e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.023 y[1] (analytic) = 1.4996150199797614733784038180441 y[1] (numeric) = 1.4996150199797614733784038180429 absolute error = 1.2e-30 relative error = 8.0020537538774116692464787783313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.024 y[1] (analytic) = 1.5001859721584695961404937077514 y[1] (numeric) = 1.5001859721584695961404937077503 absolute error = 1.1e-30 relative error = 7.3324242488237542928831870936066e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.025 y[1] (analytic) = 1.500756904206044321195243082638 y[1] (numeric) = 1.5007569042060443211952430826369 absolute error = 1.1e-30 relative error = 7.3296347790713014619836179616221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.026 y[1] (analytic) = 1.5013278161339059485300239413116 y[1] (numeric) = 1.5013278161339059485300239413105 absolute error = 1.1e-30 relative error = 7.3268475290934671737820363495673e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.027 y[1] (analytic) = 1.5018987079534650628618606805737 y[1] (numeric) = 1.5018987079534650628618606805726 absolute error = 1.1e-30 relative error = 7.3240624961912043857061906765436e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.028 y[1] (analytic) = 1.5024695796761225446540375206278 y[1] (numeric) = 1.5024695796761225446540375206267 absolute error = 1.1e-30 relative error = 7.3212796776698783025476153628700e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.029 y[1] (analytic) = 1.503040431313269581117095036327 y[1] (numeric) = 1.503040431313269581117095036326 absolute error = 1.0e-30 relative error = 6.6531809734902339319297311974780e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.03 y[1] (analytic) = 1.5036112628762876771942423323194 y[1] (numeric) = 1.5036112628762876771942423323183 absolute error = 1.1e-30 relative error = 7.3157206730135040212561917652489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.031 y[1] (analytic) = 1.504182074376548666531211347329 y[1] (numeric) = 1.5041820743765486665312113473279 absolute error = 1.1e-30 relative error = 7.3129444815111661190227624284345e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.032 y[1] (analytic) = 1.5047528658254147224305797203187 y[1] (numeric) = 1.5047528658254147224305797203176 absolute error = 1.1e-30 relative error = 7.3101704936551675221827246490566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.033 y[1] (analytic) = 1.505323637234238368790588598894 y[1] (numeric) = 1.505323637234238368790588598893 absolute error = 1.0e-30 relative error = 6.6430897334298175888617189638722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.034 y[1] (analytic) = 1.505894388614362491028481718054 y[1] (numeric) = 1.5058943886143624910284817180529 absolute error = 1.1e-30 relative error = 7.3046291181957109856140198234995e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.035 y[1] (analytic) = 1.5064651199771203469883920252468 y[1] (numeric) = 1.5064651199771203469883920252458 absolute error = 1.0e-30 relative error = 6.6380561138726374365421675468484e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.036 y[1] (analytic) = 1.507035831333835577833802075669 y[1] (numeric) = 1.507035831333835577833802075668 absolute error = 1.0e-30 relative error = 6.6355422957324628490956693701664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.037 y[1] (analytic) = 1.5076065226958222189246043698356 y[1] (numeric) = 1.5076065226958222189246043698345 absolute error = 1.1e-30 relative error = 7.2963335156778056330981497695001e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.038 y[1] (analytic) = 1.5081771940743847106787877536627 y[1] (numeric) = 1.5081771940743847106787877536616 absolute error = 1.1e-30 relative error = 7.2935726937251841943464273927070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.039 y[1] (analytic) = 1.508747845480817909418775949632 y[1] (numeric) = 1.5087478454808179094187759496309 absolute error = 1.1e-30 relative error = 7.2908140568011522344529646526934e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.04 y[1] (analytic) = 1.5093184769264070982024442360474 y[1] (numeric) = 1.5093184769264070982024442360464 absolute error = 1.0e-30 relative error = 6.6255069111484747824174266217889e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.041 y[1] (analytic) = 1.5098890884224279976388402399616 y[1] (numeric) = 1.5098890884224279976388402399605 absolute error = 1.1e-30 relative error = 7.2853033274736030830787392599037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.042 y[1] (analytic) = 1.5104596799801467766886347580204 y[1] (numeric) = 1.5104596799801467766886347580194 absolute error = 1.0e-30 relative error = 6.6205011179983554987239146946188e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.043 y[1] (analytic) = 1.5110302516108200634493284682743 y[1] (numeric) = 1.5110302516108200634493284682733 absolute error = 1.0e-30 relative error = 6.6180011878250557238810490849647e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.044 y[1] (analytic) = 1.5116008033256949559252403449062 y[1] (numeric) = 1.5116008033256949559252403449052 absolute error = 1.0e-30 relative error = 6.6155032320695082128822052984614e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.36 Order of pole = 2.754e-27 TOP MAIN SOLVE Loop x[1] = 2.045 y[1] (analytic) = 1.5121713351360090327823035368576 y[1] (numeric) = 1.5121713351360090327823035368566 absolute error = 1.0e-30 relative error = 6.6130072483489916705567567745643e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.046 y[1] (analytic) = 1.5127418470529903640876944204678 y[1] (numeric) = 1.5127418470529903640876944204668 absolute error = 1.0e-30 relative error = 6.6105132342846508806262526451728e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=236.5MB, alloc=4.4MB, time=27.61 TOP MAIN SOLVE Loop x[1] = 2.047 y[1] (analytic) = 1.5133123390878575220343204854985 y[1] (numeric) = 1.5133123390878575220343204854975 absolute error = 1.0e-30 relative error = 6.6080211875014888337045610545442e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.048 y[1] (analytic) = 1.5138828112518195916501926632836 y[1] (numeric) = 1.5138828112518195916501926632826 absolute error = 1.0e-30 relative error = 6.6055311056283588745681458221100e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.049 y[1] (analytic) = 1.5144532635560761814927076552254 y[1] (numeric) = 1.5144532635560761814927076552244 absolute error = 1.0e-30 relative error = 6.6030429862979568686413976112591e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.05 y[1] (analytic) = 1.5150236960118174343278657694572 y[1] (numeric) = 1.5150236960118174343278657694562 absolute error = 1.0e-30 relative error = 6.6005568271468133876421207351880e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.051 y[1] (analytic) = 1.5155941086302240377944497231995 y[1] (numeric) = 1.5155941086302240377944497231985 absolute error = 1.0e-30 relative error = 6.5980726258152859143324560374518e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.286 Order of pole = 1.282e-27 TOP MAIN SOLVE Loop x[1] = 2.052 y[1] (analytic) = 1.5161645014224672350531898181625 y[1] (numeric) = 1.5161645014224672350531898181615 absolute error = 1.0e-30 relative error = 6.5955903799475510663206989325273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.053 y[1] (analytic) = 1.5167348743997088354209408462828 y[1] (numeric) = 1.5167348743997088354209408462818 absolute error = 1.0e-30 relative error = 6.5931100871915968388596496832522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.054 y[1] (analytic) = 1.5173052275731012249898960331311 y[1] (numeric) = 1.5173052275731012249898960331301 absolute error = 1.0e-30 relative error = 6.5906317451992148665873103300917e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.055 y[1] (analytic) = 1.5178755609537873772318632764894 y[1] (numeric) = 1.5178755609537873772318632764885 absolute error = 9e-31 relative error = 5.9293398164633934337403274370196e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.056 y[1] (analytic) = 1.5184458745529008635876288878702 y[1] (numeric) = 1.5184458745529008635876288878693 absolute error = 9e-31 relative error = 5.9271128137181755131259422217646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.057 y[1] (analytic) = 1.5190161683815658640414339951338 y[1] (numeric) = 1.5190161683815658640414339951328 absolute error = 1.0e-30 relative error = 6.5832084003783114430582038693234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.058 y[1] (analytic) = 1.519586442450897177680588714859 y[1] (numeric) = 1.519586442450897177680588714858 absolute error = 1.0e-30 relative error = 6.5807378380339378427901492743648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.059 y[1] (analytic) = 1.5201566967720002332402491537298 y[1] (numeric) = 1.5201566967720002332402491537289 absolute error = 9e-31 relative error = 5.9204422932919917675994282945353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.06 y[1] (analytic) = 1.5207269313559710996333822489189 y[1] (numeric) = 1.520726931355971099633382248918 absolute error = 9e-31 relative error = 5.9182222754318302453603050931717e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.7387 Order of pole = 3.101e-27 TOP MAIN SOLVE Loop x[1] = 2.061 y[1] (analytic) = 1.52129714621389649646594340828 y[1] (numeric) = 1.5212971462138964964659434082791 absolute error = 9e-31 relative error = 5.9160039985604413088338295570164e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.062 y[1] (analytic) = 1.5218673413568538045372918621021 y[1] (numeric) = 1.5218673413568538045372918621012 absolute error = 9e-31 relative error = 5.9137874605915749429719620446682e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.063 y[1] (analytic) = 1.522437516795911076325868589227 y[1] (numeric) = 1.5224375167959110763258685892261 absolute error = 9e-31 relative error = 5.9115726594423424874697240370633e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.064 y[1] (analytic) = 1.5230076725421270464601616314942 y[1] (numeric) = 1.5230076725421270464601616314933 absolute error = 9e-31 relative error = 5.9093595930332098401654559873004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.065 y[1] (analytic) = 1.523577808606551142174983561746 y[1] (numeric) = 1.5235778086065511421749835617451 absolute error = 9e-31 relative error = 5.9071482592879906769631179255341e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.066 y[1] (analytic) = 1.524147925000223493753085822006 y[1] (numeric) = 1.5241479250002234937530858220051 absolute error = 9e-31 relative error = 5.9049386561338396882297360330146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.067 y[1] (analytic) = 1.5247180217341749449521345999317 y[1] (numeric) = 1.5247180217341749449521345999309 absolute error = 8e-31 relative error = 5.2468718057788851836633338422471e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.068 y[1] (analytic) = 1.5252880988194270634170728632402 y[1] (numeric) = 1.5252880988194270634170728632394 absolute error = 8e-31 relative error = 5.2449107851769116455912641601361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.069 y[1] (analytic) = 1.5258581562669921510778931235106 y[1] (numeric) = 1.5258581562669921510778931235097 absolute error = 9e-31 relative error = 5.8983202095393163134286045876872e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.07 y[1] (analytic) = 1.5264281940878732545328454525821 y[1] (numeric) = 1.5264281940878732545328454525812 absolute error = 9e-31 relative error = 5.8961175080875694081003423585120e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.071 y[1] (analytic) = 1.526998212293064175417105226688 y[1] (numeric) = 1.5269982122930641754171052266872 absolute error = 8e-31 relative error = 5.2390369128111500153919130527397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.072 y[1] (analytic) = 1.5275682108935494807569250254954 y[1] (numeric) = 1.5275682108935494807569250254945 absolute error = 9e-31 relative error = 5.8917172639612990493044957083349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.073 y[1] (analytic) = 1.5281381899003045133092950653568 y[1] (numeric) = 1.5281381899003045133092950653559 absolute error = 9e-31 relative error = 5.8895197171841890389371007140985e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.074 y[1] (analytic) = 1.5287081493242954018871364983272 y[1] (numeric) = 1.5287081493242954018871364983263 absolute error = 9e-31 relative error = 5.8873238845348550142549358512192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.075 y[1] (analytic) = 1.529278089176479071670051860847 y[1] (numeric) = 1.5292780891764790716700518608461 absolute error = 9e-31 relative error = 5.8851297639702191290577918603548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.076 y[1] (analytic) = 1.5298480094678032545006569084516 y[1] (numeric) = 1.5298480094678032545006569084507 absolute error = 9e-31 relative error = 5.8829373534504778115068195143361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.077 y[1] (analytic) = 1.5304179102092064991665180254325 y[1] (numeric) = 1.5304179102092064991665180254316 absolute error = 9e-31 relative error = 5.8807466509390951786965212103758e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.078 y[1] (analytic) = 1.530987791411618181667719351044 y[1] (numeric) = 1.5309877914116181816677193510431 memory used=240.3MB, alloc=4.4MB, time=28.05 absolute error = 9e-31 relative error = 5.8785576544027964671508393333788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.079 y[1] (analytic) = 1.5315576530859585154700837166254 y[1] (numeric) = 1.5315576530859585154700837166246 absolute error = 8e-31 relative error = 5.2234403216102768703985601458309e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.08 y[1] (analytic) = 1.5321274952431385617440714408922 y[1] (numeric) = 1.5321274952431385617440714408914 absolute error = 8e-31 relative error = 5.2214975743454382623839619823618e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.081 y[1] (analytic) = 1.532697317894060239589380983633 y[1] (numeric) = 1.5326973178940602395893809836321 absolute error = 9e-31 relative error = 5.8720008803604355014577825966547e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.082 y[1] (analytic) = 1.5332671210496163362452754111442 y[1] (numeric) = 1.5332671210496163362452754111433 absolute error = 9e-31 relative error = 5.8698186874567181841397786636622e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.123 Order of pole = 3.133e-27 TOP MAIN SOLVE Loop x[1] = 2.083 y[1] (analytic) = 1.5338369047206905172866585799298 y[1] (numeric) = 1.5338369047206905172866585799289 absolute error = 9e-31 relative error = 5.8676381904103989385446265906242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.084 y[1] (analytic) = 1.534406668918157336805924898493 y[1] (numeric) = 1.534406668918157336805924898492 absolute error = 1.0e-30 relative error = 6.5171770968973696047703449943550e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.085 y[1] (analytic) = 1.5349764136528822475806064804539 y[1] (numeric) = 1.534976413652882247580606480453 absolute error = 9e-31 relative error = 5.8632822758377897560250590837521e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.086 y[1] (analytic) = 1.5355461389357216112268414557373 y[1] (numeric) = 1.5355461389357216112268414557364 absolute error = 9e-31 relative error = 5.8611068542934498596797283726378e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.087 y[1] (analytic) = 1.5361158447775227083386871601831 y[1] (numeric) = 1.5361158447775227083386871601822 absolute error = 9e-31 relative error = 5.8589331205703952443048106238458e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.088 y[1] (analytic) = 1.5366855311891237486133018776549 y[1] (numeric) = 1.5366855311891237486133018776539 absolute error = 1.0e-30 relative error = 6.5075123029640049881593284509675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.089 y[1] (analytic) = 1.5372551981813538809620187625351 y[1] (numeric) = 1.5372551981813538809620187625342 absolute error = 9e-31 relative error = 5.8545907085872460673595507325421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.09 y[1] (analytic) = 1.5378248457650332036073355244235 y[1] (numeric) = 1.5378248457650332036073355244226 absolute error = 9e-31 relative error = 5.8524220263346719621577265896784e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.091 y[1] (analytic) = 1.5383944739509727741658434108759 y[1] (numeric) = 1.538394473950972774165843410875 absolute error = 9e-31 relative error = 5.8502550239184113022529338003953e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.25 Order of pole = 4.932e-26 TOP MAIN SOLVE Loop x[1] = 2.092 y[1] (analytic) = 1.5389640827499746197171189781514 y[1] (numeric) = 1.5389640827499746197171189781505 absolute error = 9e-31 relative error = 5.8480896993501640096485761192317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.093 y[1] (analytic) = 1.5395336721728317468586020941641 y[1] (numeric) = 1.5395336721728317468586020941631 absolute error = 1.0e-30 relative error = 6.4954733896053271820877367580670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.094 y[1] (analytic) = 1.5401032422303281517464835721668 y[1] (numeric) = 1.5401032422303281517464835721658 absolute error = 1.0e-30 relative error = 6.4930711953559168680818483080775e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.089 Order of pole = 6.827e-27 TOP MAIN SOLVE Loop x[1] = 2.095 y[1] (analytic) = 1.5406727929332388301226257881295 y[1] (numeric) = 1.5406727929332388301226257881285 absolute error = 1.0e-30 relative error = 6.4906708587754783437788870410680e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.096 y[1] (analytic) = 1.5412423242923297873275395893064 y[1] (numeric) = 1.5412423242923297873275395893054 absolute error = 1.0e-30 relative error = 6.4882723776688114851645656676821e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.22 Order of pole = 7.086e-27 TOP MAIN SOLVE Loop x[1] = 2.097 y[1] (analytic) = 1.5418118363183580482994407561255 y[1] (numeric) = 1.5418118363183580482994407561245 absolute error = 1.0e-30 relative error = 6.4858757498442042409946367119822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.098 y[1] (analytic) = 1.5423813290220716675594092342669 y[1] (numeric) = 1.5423813290220716675594092342659 absolute error = 1.0e-30 relative error = 6.4834809731134256769349711109451e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.099 y[1] (analytic) = 1.5429508024142097391826743086376 y[1] (numeric) = 1.5429508024142097391826743086366 absolute error = 1.0e-30 relative error = 6.4810880452917190363790799605722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.1 y[1] (analytic) = 1.5435202565055024067560488458838 y[1] (numeric) = 1.5435202565055024067560488458828 absolute error = 1.0e-30 relative error = 6.4786969641977948178963888485869e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.101 y[1] (analytic) = 1.5440896913066708733215356871238 y[1] (numeric) = 1.5440896913066708733215356871227 absolute error = 1.1e-30 relative error = 7.1239385004192062561911960143297e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.102 y[1] (analytic) = 1.5446591068284274113061292277184 y[1] (numeric) = 1.5446591068284274113061292277173 absolute error = 1.1e-30 relative error = 7.1213123668339735478446771100809e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.103 y[1] (analytic) = 1.5452285030814753724378351761363 y[1] (numeric) = 1.5452285030814753724378351761353 absolute error = 1.0e-30 relative error = 6.4715347795216855986211814743630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.104 y[1] (analytic) = 1.5457978800765091976479314393059 y[1] (numeric) = 1.5457978800765091976479314393049 absolute error = 1.0e-30 relative error = 6.4691510635950997957514837721020e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.105 y[1] (analytic) = 1.546367237824214426959493037282 y[1] (numeric) = 1.546367237824214426959493037281 absolute error = 1.0e-30 relative error = 6.4667691835416166044314205927195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.106 y[1] (analytic) = 1.5469365763352677093622039055912 y[1] (numeric) = 1.5469365763352677093622039055903 absolute error = 9e-31 relative error = 5.8179502234805450455587103288095e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.464 Order of pole = 4.210e-27 TOP MAIN SOLVE Loop x[1] = 2.107 y[1] (analytic) = 1.5475058956203368126734783992518 y[1] (numeric) = 1.5475058956203368126734783992509 absolute error = 9e-31 relative error = 5.8158098301733700774271802719657e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.108 y[1] (analytic) = 1.5480751956900806333859152681956 y[1] (numeric) = 1.5480751956900806333859152681946 absolute error = 1.0e-30 relative error = 6.4596345370305680191745544286528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.109 y[1] (analytic) = 1.5486444765551492065011068296499 y[1] (numeric) = 1.5486444765551492065011068296489 absolute error = 1.0e-30 relative error = 6.4572599788973497404214952043327e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=244.1MB, alloc=4.4MB, time=28.50 TOP MAIN SOLVE Loop x[1] = 2.11 y[1] (analytic) = 1.5492137382261837153498260189663 y[1] (numeric) = 1.5492137382261837153498260189653 absolute error = 1.0e-30 relative error = 6.4548872458682067409896174641568e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.111 y[1] (analytic) = 1.5497829807138165013986139564047 y[1] (numeric) = 1.5497829807138165013986139564037 absolute error = 1.0e-30 relative error = 6.4525163357995371480735775599778e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.112 y[1] (analytic) = 1.5503522040286710740427906235082 y[1] (numeric) = 1.5503522040286710740427906235073 absolute error = 9e-31 relative error = 5.8051325218960120984460557948553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.113 y[1] (analytic) = 1.550921408181362120385911198922 y[1] (numeric) = 1.5509214081813621203859111989211 absolute error = 9e-31 relative error = 5.8030019783875181743548426610758e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.114 y[1] (analytic) = 1.551490593182495515005690559826 y[1] (numeric) = 1.5514905931824955150056905598251 absolute error = 9e-31 relative error = 5.8008730697739826268150347023546e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.115 y[1] (analytic) = 1.5520597590426683297064184115662 y[1] (numeric) = 1.5520597590426683297064184115652 absolute error = 1.0e-30 relative error = 6.4430508823759058497924465404298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.116 y[1] (analytic) = 1.552628905772468843257887464578 y[1] (numeric) = 1.552628905772468843257887464577 absolute error = 1.0e-30 relative error = 6.4406890550738319378662996054628e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.117 y[1] (analytic) = 1.5531980333824765511208570343028 y[1] (numeric) = 1.5531980333824765511208570343018 absolute error = 1.0e-30 relative error = 6.4383290379414806499351760303114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.118 y[1] (analytic) = 1.5537671418832621751590743964986 y[1] (numeric) = 1.5537671418832621751590743964976 absolute error = 1.0e-30 relative error = 6.4359708288588080049002775881209e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.119 y[1] (analytic) = 1.5543362312853876733378761871464 y[1] (numeric) = 1.5543362312853876733378761871454 absolute error = 1.0e-30 relative error = 6.4336144257091088471795913116504e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.12 y[1] (analytic) = 1.5549053015994062494093920930452 y[1] (numeric) = 1.5549053015994062494093920930442 absolute error = 1.0e-30 relative error = 6.4312598263790102471924489851353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.121 y[1] (analytic) = 1.5554743528358623625843730361784 y[1] (numeric) = 1.5554743528358623625843730361775 absolute error = 9e-31 relative error = 5.7860163258826184257752395908055e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.122 y[1] (analytic) = 1.5560433850052917371906660120176 y[1] (numeric) = 1.5560433850052917371906660120167 absolute error = 9e-31 relative error = 5.7839004276666701802789433337619e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.123 y[1] (analytic) = 1.5566123981182213723183576991068 y[1] (numeric) = 1.5566123981182213723183576991059 absolute error = 9e-31 relative error = 5.7817861472001903631418483678671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.124 y[1] (analytic) = 1.5571813921851695514516089145466 y[1] (numeric) = 1.5571813921851695514516089145458 absolute error = 8e-31 relative error = 5.1374875400827379888281183187197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.125 y[1] (analytic) = 1.5577503672166458520872019473614 y[1] (numeric) = 1.5577503672166458520872019473605 absolute error = 9e-31 relative error = 5.7775624319582105827495572946548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.126 y[1] (analytic) = 1.5583193232231511553398227591953 y[1] (numeric) = 1.5583193232231511553398227591944 absolute error = 9e-31 relative error = 5.7754529934114158397748397767542e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.127 y[1] (analytic) = 1.5588882602151776555340999993394 y[1] (numeric) = 1.5588882602151776555340999993386 absolute error = 8e-31 relative error = 5.1318623689524340166145986331921e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.128 y[1] (analytic) = 1.5594571782032088697834227387393 y[1] (numeric) = 1.5594571782032088697834227387384 absolute error = 9e-31 relative error = 5.7712389450601721214586948189962e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.129 y[1] (analytic) = 1.5600260771977196475555587853738 y[1] (numeric) = 1.560026077197719647555558785373 absolute error = 8e-31 relative error = 5.1281194057796958470114195334920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.13 y[1] (analytic) = 1.5605949572091761802250954012356 y[1] (numeric) = 1.5605949572091761802250954012347 absolute error = 9e-31 relative error = 5.7670313225250761954856966628896e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.131 y[1] (analytic) = 1.561163818248036010612724199065 y[1] (numeric) = 1.5611638182480360106127241990642 absolute error = 8e-31 relative error = 5.1243821477862156649136764622802e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.132 y[1] (analytic) = 1.5617326603247480425113919550178 y[1] (numeric) = 1.561732660324748042511391955017 absolute error = 8e-31 relative error = 5.1225156540790234025097961016030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.133 y[1] (analytic) = 1.562301483449752550199339031553 y[1] (numeric) = 1.5623014834497525501993390315521 absolute error = 9e-31 relative error = 5.7607319043997195866334149653797e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.134 y[1] (analytic) = 1.5628702876334811879400470630387 y[1] (numeric) = 1.5628702876334811879400470630379 absolute error = 8e-31 relative error = 5.1187869289611395468482100741987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.135 y[1] (analytic) = 1.5634390728863569994691175148686 y[1] (numeric) = 1.5634390728863569994691175148678 absolute error = 8e-31 relative error = 5.1169246942451864101164058710435e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6897 Order of pole = 8.23e-28 TOP MAIN SOLVE Loop x[1] = 2.136 y[1] (analytic) = 1.5640078392187944274681026852699 y[1] (numeric) = 1.564007839218794427468102685269 absolute error = 9e-31 relative error = 5.7544468603785297867601407492800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.137 y[1] (analytic) = 1.5645765866411993230253106774675 y[1] (numeric) = 1.5645765866411993230253106774666 absolute error = 9e-31 relative error = 5.7523550312874194118467185420550e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.576 Order of pole = 1.138e-27 TOP MAIN SOLVE Loop x[1] = 2.138 y[1] (analytic) = 1.5651453151639689550836058284399 y[1] (numeric) = 1.565145315163968955083605828439 absolute error = 9e-31 relative error = 5.7502647919034502496770040486561e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.139 y[1] (analytic) = 1.5657140247974920198752260391641 y[1] (numeric) = 1.5657140247974920198752260391632 absolute error = 9e-31 relative error = 5.7481761403804577528708447480547e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.14 y[1] (analytic) = 1.5662827155521486503436384100036 y[1] (numeric) = 1.5662827155521486503436384100027 absolute error = 9e-31 relative error = 5.7460890748751604990758991415370e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.141 y[1] (analytic) = 1.5668513874383104255524545437367 y[1] (numeric) = 1.5668513874383104255524545437358 absolute error = 9e-31 relative error = 5.7440035935471545397671582439866e-29 % memory used=247.9MB, alloc=4.4MB, time=28.95 Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.142 y[1] (analytic) = 1.5674200404663403800814268376581 y[1] (numeric) = 1.5674200404663403800814268376572 absolute error = 9e-31 relative error = 5.7419196945589077623649424942271e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.143 y[1] (analytic) = 1.5679886746465930134095470452114 y[1] (numeric) = 1.5679886746465930134095470452105 absolute error = 9e-31 relative error = 5.7398373760757542656347213486122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.144 y[1] (analytic) = 1.5685572899894142992852683467266 y[1] (numeric) = 1.5685572899894142992852683467257 absolute error = 9e-31 relative error = 5.7377566362658887483322181399201e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.145 y[1] (analytic) = 1.5691258865051416950838721280416 y[1] (numeric) = 1.5691258865051416950838721280407 absolute error = 9e-31 relative error = 5.7356774733003609110573776932967e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.146 y[1] (analytic) = 1.5696944642041041511520006250797 y[1] (numeric) = 1.5696944642041041511520006250788 absolute error = 9e-31 relative error = 5.7335998853530698712808886941121e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.105 Order of pole = 3.056e-27 TOP MAIN SOLVE Loop x[1] = 2.147 y[1] (analytic) = 1.5702630230966221201393765518415 y[1] (numeric) = 1.5702630230966221201393765518406 absolute error = 9e-31 relative error = 5.7315238706007585915070669007270e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.08 Order of pole = 1.184e-26 TOP MAIN SOLVE Loop x[1] = 2.148 y[1] (analytic) = 1.5708315631930075663177307887411 y[1] (numeric) = 1.5708315631930075663177307887402 absolute error = 9e-31 relative error = 5.7294494272230083205370189899167e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.149 y[1] (analytic) = 1.5714000845035639748869591677781 y[1] (numeric) = 1.5714000845035639748869591677772 absolute error = 9e-31 relative error = 5.7273765534022330477961201156587e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.15 y[1] (analytic) = 1.5719685870385863612685293506886 y[1] (numeric) = 1.5719685870385863612685293506877 absolute error = 9e-31 relative error = 5.7253052473236739706899511547064e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.151 y[1] (analytic) = 1.5725370708083612803861587559566 y[1] (numeric) = 1.5725370708083612803861587559557 absolute error = 9e-31 relative error = 5.7232355071753939749529541064525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.152 y[1] (analytic) = 1.5731055358231668359337844503945 y[1] (numeric) = 1.5731055358231668359337844503936 absolute error = 9e-31 relative error = 5.7211673311482721279541762115674e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.153 y[1] (analytic) = 1.5736739820932726896308458809159 y[1] (numeric) = 1.573673982093272689630845880915 absolute error = 9e-31 relative error = 5.7191007174359981849245850553532e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.154 y[1] (analytic) = 1.5742424096289400704649012821284 y[1] (numeric) = 1.5742424096289400704649012821275 absolute error = 9e-31 relative error = 5.7170356642350671080705482292205e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.155 y[1] (analytic) = 1.5748108184404217839215985554626 y[1] (numeric) = 1.5748108184404217839215985554617 absolute error = 9e-31 relative error = 5.7149721697447735985381820387360e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.156 y[1] (analytic) = 1.5753792085379622212020213757333 y[1] (numeric) = 1.5753792085379622212020213757324 absolute error = 9e-31 relative error = 5.7129102321672066411933842708139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.157 y[1] (analytic) = 1.5759475799317973684274312412917 y[1] (numeric) = 1.5759475799317973684274312412908 absolute error = 9e-31 relative error = 5.7108498497072440621824761673966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.158 y[1] (analytic) = 1.5765159326321548158314261442813 y[1] (numeric) = 1.5765159326321548158314261442804 absolute error = 9e-31 relative error = 5.7087910205725470992384884998801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.159 y[1] (analytic) = 1.5770842666492537669395364979471 y[1] (numeric) = 1.5770842666492537669395364979462 absolute error = 9e-31 relative error = 5.7067337429735549846982359991325e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.16 y[1] (analytic) = 1.577652581993305047736278918474 y[1] (numeric) = 1.577652581993305047736278918473 absolute error = 1.0e-30 relative error = 6.3385311279149772679949259685808e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.161 y[1] (analytic) = 1.5782208786745111158196884194404 y[1] (numeric) = 1.5782208786745111158196884194394 absolute error = 1.0e-30 relative error = 6.3362487058203330999946830282624e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.162 y[1] (analytic) = 1.578789156703066069543349537672 y[1] (numeric) = 1.578789156703066069543349537671 absolute error = 1.0e-30 relative error = 6.3339680017075073021505849308805e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.163 y[1] (analytic) = 1.5793574160891556571459468700617 y[1] (numeric) = 1.5793574160891556571459468700607 absolute error = 1.0e-30 relative error = 6.3316890136003857566010792573362e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.164 y[1] (analytic) = 1.5799256568429572858683554617926 y[1] (numeric) = 1.5799256568429572858683554617916 absolute error = 1.0e-30 relative error = 6.3294117395259111223053216367534e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 15.63 Order of pole = 1.098e-25 TOP MAIN SOLVE Loop x[1] = 2.165 y[1] (analytic) = 1.5804938789746400310582914473541 y[1] (numeric) = 1.5804938789746400310582914473531 absolute error = 1.0e-30 relative error = 6.3271361775140769001052977579146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.166 y[1] (analytic) = 1.5810620824943646452625433067808 y[1] (numeric) = 1.5810620824943646452625433067798 absolute error = 1.0e-30 relative error = 6.3248623255979215116433099363032e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.669 Order of pole = 5.797e-27 TOP MAIN SOLVE Loop x[1] = 2.167 y[1] (analytic) = 1.581630267412283567306804060669 y[1] (numeric) = 1.581630267412283567306804060668 absolute error = 1.0e-30 relative error = 6.3225901818135223920970564719381e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.277 Order of pole = 1.693e-27 TOP MAIN SOLVE Loop x[1] = 2.168 y[1] (analytic) = 1.5821984337385409313631246887335 y[1] (numeric) = 1.5821984337385409313631246887325 absolute error = 1.0e-30 relative error = 6.3203197441999900966946497563543e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.169 y[1] (analytic) = 1.5827665814832725760050090179635 y[1] (numeric) = 1.5827665814832725760050090179625 absolute error = 1.0e-30 relative error = 6.3180510107994624209720363974467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.17 y[1] (analytic) = 1.583334710656606053250170287812 y[1] (numeric) = 1.5833347106566060532501702878109 absolute error = 1.1e-30 relative error = 6.9473623776228083882089394831107e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.06 Order of pole = 2.758e-26 TOP MAIN SOLVE Loop x[1] = 2.171 y[1] (analytic) = 1.5839028212686606375909695613178 y[1] (numeric) = 1.5839028212686606375909695613167 absolute error = 1.1e-30 relative error = 6.9448705137031804426603639671508e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.172 y[1] (analytic) = 1.5844709133295473350125561126051 y[1] (numeric) = 1.584470913329547335012556112604 absolute error = 1.1e-30 relative error = 6.9423805179768276387776438458074e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=251.7MB, alloc=4.4MB, time=29.41 TOP MAIN SOLVE Loop x[1] = 2.173 y[1] (analytic) = 1.5850389868493688919987298828342 y[1] (numeric) = 1.5850389868493688919987298828331 absolute error = 1.1e-30 relative error = 6.9398923883033570327312809413003e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.174 y[1] (analytic) = 1.5856070418382198045255460583933 y[1] (numeric) = 1.5856070418382198045255460583922 absolute error = 1.1e-30 relative error = 6.9374061225456735317596505980595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.175 y[1] (analytic) = 1.5861750783061863270426817869166 y[1] (numeric) = 1.5861750783061863270426817869155 absolute error = 1.1e-30 relative error = 6.9349217185699735162920881962590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.176 y[1] (analytic) = 1.5867430962633464814425850085942 y[1] (numeric) = 1.5867430962633464814425850085932 absolute error = 1.0e-30 relative error = 6.3022174311324895244574185833070e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.671 Order of pole = 4.229e-27 TOP MAIN SOLVE Loop x[1] = 2.177 y[1] (analytic) = 1.5873110957197700660174253422042 y[1] (numeric) = 1.5873110957197700660174253422032 absolute error = 1.0e-30 relative error = 6.2999622613142987873253156570585e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.178 y[1] (analytic) = 1.5878790766855186644038669273404 y[1] (numeric) = 1.5878790766855186644038669273394 absolute error = 1.0e-30 relative error = 6.2977087782236152405522589640200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.179 y[1] (analytic) = 1.5884470391706456545156830864414 y[1] (numeric) = 1.5884470391706456545156830864403 absolute error = 1.1e-30 relative error = 6.9250026779257815629964461705629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.18 y[1] (analytic) = 1.5890149831851962174642326324331 y[1] (numeric) = 1.589014983185196217464232632432 absolute error = 1.1e-30 relative error = 6.9225275509677016571396569240762e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.181 y[1] (analytic) = 1.5895829087392073464668176100946 y[1] (numeric) = 1.5895829087392073464668176100935 absolute error = 1.1e-30 relative error = 6.9200542730575491589311720150229e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.182 y[1] (analytic) = 1.5901508158427078557429422216279 y[1] (numeric) = 1.5901508158427078557429422216267 absolute error = 1.2e-30 relative error = 7.5464540095466000960118086681494e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.183 y[1] (analytic) = 1.5907187045057183893984926493708 y[1] (numeric) = 1.5907187045057183893984926493696 absolute error = 1.2e-30 relative error = 7.5437599155714597579084557503756e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.184 y[1] (analytic) = 1.5912865747382514302978574511316 y[1] (numeric) = 1.5912865747382514302978574511304 absolute error = 1.2e-30 relative error = 7.5410678318415799611778731798678e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.185 y[1] (analytic) = 1.59185442655031130892400816624 y[1] (numeric) = 1.5918544265503113089240081662388 absolute error = 1.2e-30 relative error = 7.5383777560647027845097726739112e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.186 y[1] (analytic) = 1.5924222599518942122265597331138 y[1] (numeric) = 1.5924222599518942122265597331125 absolute error = 1.3e-30 relative error = 8.1636638264480926557060457322098e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.187 y[1] (analytic) = 1.5929900749529881924578302819186 y[1] (numeric) = 1.5929900749529881924578302819173 absolute error = 1.3e-30 relative error = 8.1607539208200351108431095686185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.188 y[1] (analytic) = 1.5935578715635731759969198287635 y[1] (numeric) = 1.5935578715635731759969198287623 absolute error = 1.2e-30 relative error = 7.5303195535821955052901712759456e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.189 y[1] (analytic) = 1.5941256497936209721618273608159 y[1] (numeric) = 1.5941256497936209721618273608147 absolute error = 1.2e-30 relative error = 7.5276374867649526286944420474722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.19 y[1] (analytic) = 1.594693409653095282009625764743 y[1] (numeric) = 1.5946934096530952820096257647417 absolute error = 1.3e-30 relative error = 8.1520372011996839983989248735146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.191 y[1] (analytic) = 1.5952611511519517071247140139915 y[1] (numeric) = 1.5952611511519517071247140139902 absolute error = 1.3e-30 relative error = 8.1491359521997943272623827543847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.192 y[1] (analytic) = 1.5958288743001377583951659936 y[1] (numeric) = 1.5958288743001377583951659935986 absolute error = 1.4e-30 relative error = 8.7728704659137094443056829610515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.193 y[1] (analytic) = 1.5963965791075928647771953045 y[1] (numeric) = 1.5963965791075928647771953044986 absolute error = 1.4e-30 relative error = 8.7697506892843557014150385512337e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.194 y[1] (analytic) = 1.5969642655842483820477553526078 y[1] (numeric) = 1.5969642655842483820477553526064 absolute error = 1.4e-30 relative error = 8.7666332313817358452658522993964e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.195 y[1] (analytic) = 1.597531933740027601545293991428 y[1] (numeric) = 1.5975319337400276015452939914266 absolute error = 1.4e-30 relative error = 8.7635180895722068342999957435736e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.196 y[1] (analytic) = 1.5980995835848457588986819503922 y[1] (numeric) = 1.5980995835848457588986819503908 absolute error = 1.4e-30 relative error = 8.7604052612261485939816974658126e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.238 Order of pole = 1.232e-27 TOP MAIN SOLVE Loop x[1] = 2.197 y[1] (analytic) = 1.5986672151286100427443342447378 y[1] (numeric) = 1.5986672151286100427443342447365 absolute error = 1.3e-30 relative error = 8.1317736905952451386608894017687e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.198 y[1] (analytic) = 1.5992348283812196034315437263888 y[1] (numeric) = 1.5992348283812196034315437263874 absolute error = 1.4e-30 relative error = 8.7541865344260326982951047282482e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.57 Order of pole = 1.593e-27 TOP MAIN SOLVE Loop x[1] = 2.199 y[1] (analytic) = 1.5998024233525655617160458990381 y[1] (numeric) = 1.5998024233525655617160458990368 absolute error = 1.3e-30 relative error = 8.1260034428232960812777077238069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.2 y[1] (analytic) = 1.6003700000525310174418340844513 y[1] (numeric) = 1.60037000005253101744183408445 absolute error = 1.3e-30 relative error = 8.1231215278799803553783180232287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.201 y[1] (analytic) = 1.6009375584909910582112439908982 y[1] (numeric) = 1.6009375584909910582112439908968 absolute error = 1.4e-30 relative error = 8.7448757296918536104159362427750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.202 y[1] (analytic) = 1.601505098677812768043326698599 y[1] (numeric) = 1.6015050986778127680433266985976 absolute error = 1.4e-30 relative error = 8.7417767271289149021291577380138e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.203 y[1] (analytic) = 1.6020726206228552360205290411172 y[1] (numeric) = 1.6020726206228552360205290411158 absolute error = 1.4e-30 relative error = 8.7386800197341038097265736885941e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.783 Order of pole = 1.962e-26 TOP MAIN SOLVE Loop memory used=255.5MB, alloc=4.4MB, time=29.86 x[1] = 2.204 y[1] (analytic) = 1.6026401243359695649237003257596 y[1] (numeric) = 1.6026401243359695649237003257582 absolute error = 1.4e-30 relative error = 8.7355856049097077922434106889468e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.444 Order of pole = 1.86e-28 TOP MAIN SOLVE Loop x[1] = 2.205 y[1] (analytic) = 1.6032076098269988798554443002518 y[1] (numeric) = 1.6032076098269988798554443002504 absolute error = 1.4e-30 relative error = 8.7324934800619684893497666990360e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9605 Order of pole = 2.736e-27 TOP MAIN SOLVE Loop x[1] = 2.206 y[1] (analytic) = 1.6037750771057783368518352372364 y[1] (numeric) = 1.6037750771057783368518352372351 absolute error = 1.3e-30 relative error = 8.1058748109867117256397178211822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.207 y[1] (analytic) = 1.6043425261821351314825169725046 y[1] (numeric) = 1.6043425261821351314825169725034 absolute error = 1.2e-30 relative error = 7.4796995056638447213274196030382e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.208 y[1] (analytic) = 1.604909957065888507439203697305 y[1] (numeric) = 1.6049099570658885074392036973037 absolute error = 1.3e-30 relative error = 8.1001429038216713325699260831459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.209 y[1] (analytic) = 1.6054773697668497651126012695886 y[1] (numeric) = 1.6054773697668497651126012695874 absolute error = 1.2e-30 relative error = 7.4744124246003299395250014505274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.21 y[1] (analytic) = 1.6060447642948222701577677736404 y[1] (numeric) = 1.6060447642948222701577677736392 absolute error = 1.2e-30 relative error = 7.4717718128292190441342329328885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.211 y[1] (analytic) = 1.6066121406596014620479320222088 y[1] (numeric) = 1.6066121406596014620479320222076 absolute error = 1.2e-30 relative error = 7.4691331506267274026797368360858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.212 y[1] (analytic) = 1.6071794988709748626167886599936 y[1] (numeric) = 1.6071794988709748626167886599923 absolute error = 1.3e-30 relative error = 8.0887044721092763302887895642322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.213 y[1] (analytic) = 1.6077468389387220845892884921647 y[1] (numeric) = 1.6077468389387220845892884921634 absolute error = 1.3e-30 relative error = 8.0858501383099183569901860171980e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.214 y[1] (analytic) = 1.6083141608726148401009426264839 y[1] (numeric) = 1.6083141608726148401009426264826 absolute error = 1.3e-30 relative error = 8.0829979094051227353169577828636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.215 y[1] (analytic) = 1.6088814646824169492056589825664 y[1] (numeric) = 1.6088814646824169492056589825652 absolute error = 1.2e-30 relative error = 7.4585979535594465268700436370394e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.216 y[1] (analytic) = 1.6094487503778843483721296868683 y[1] (numeric) = 1.6094487503778843483721296868671 absolute error = 1.2e-30 relative error = 7.4559690062715609991199010526441e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.86 Order of pole = 1.021e-26 TOP MAIN SOLVE Loop x[1] = 2.217 y[1] (analytic) = 1.6100160179687650989687878371032 y[1] (numeric) = 1.610016017968765098968787837102 absolute error = 1.2e-30 relative error = 7.4533419954041751649071026762596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.218 y[1] (analytic) = 1.6105832674647993957373520849898 y[1] (numeric) = 1.6105832674647993957373520849885 absolute error = 1.3e-30 relative error = 8.0716099953423398825968984473464e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.219 y[1] (analytic) = 1.6111504988757195752549774514988 y[1] (numeric) = 1.6111504988757195752549774514976 absolute error = 1.2e-30 relative error = 7.4480937742152244821420783801263e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.22 y[1] (analytic) = 1.6117177122112501243850307541177 y[1] (numeric) = 1.6117177122112501243850307541164 absolute error = 1.3e-30 relative error = 8.0659286061727362704972443236039e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.315 Order of pole = 3.480e-27 TOP MAIN SOLVE Loop x[1] = 2.221 y[1] (analytic) = 1.6122849074811076887165089910641 y[1] (numeric) = 1.6122849074811076887165089910628 absolute error = 1.3e-30 relative error = 8.0630910453103837827342142241878e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.94 Order of pole = 1.974e-27 TOP MAIN SOLVE Loop x[1] = 2.222 y[1] (analytic) = 1.6128520846950010809921189928814 y[1] (numeric) = 1.6128520846950010809921189928801 absolute error = 1.3e-30 relative error = 8.0602555704656383514048474912391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.223 y[1] (analytic) = 1.6134192438626312895250366174098 y[1] (numeric) = 1.6134192438626312895250366174085 absolute error = 1.3e-30 relative error = 8.0574221792949171582597734112698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.224 y[1] (analytic) = 1.6139863849936914866043637297739 y[1] (numeric) = 1.6139863849936914866043637297726 absolute error = 1.3e-30 relative error = 8.0545908694581785424394063349431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.225 y[1] (analytic) = 1.6145535080978670368893011747404 y[1] (numeric) = 1.6145535080978670368893011747391 absolute error = 1.3e-30 relative error = 8.0517616386189152838466487935569e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.226 y[1] (analytic) = 1.6151206131848355057920559145909 y[1] (numeric) = 1.6151206131848355057920559145896 absolute error = 1.3e-30 relative error = 8.0489344844441479018388610669724e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.227 y[1] (analytic) = 1.6156877002642666678495004715164 y[1] (numeric) = 1.6156877002642666678495004715151 absolute error = 1.3e-30 relative error = 8.0461094046044179691982938761749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.228 y[1] (analytic) = 1.6162547693458225150836027794767 y[1] (numeric) = 1.6162547693458225150836027794754 absolute error = 1.3e-30 relative error = 8.0432863967737814413403051292082e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.229 y[1] (analytic) = 1.6168218204391572653506445164772 y[1] (numeric) = 1.6168218204391572653506445164759 absolute error = 1.3e-30 relative error = 8.0404654586298020007188054790601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.23 y[1] (analytic) = 1.6173888535539173706792459542978 y[1] (numeric) = 1.6173888535539173706792459542965 absolute error = 1.3e-30 relative error = 8.0376465878535444163885008578211e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.231 y[1] (analytic) = 1.6179558686997415255972153288628 y[1] (numeric) = 1.6179558686997415255972153288615 absolute error = 1.3e-30 relative error = 8.0348297821295679186836231347060e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.232 y[1] (analytic) = 1.6185228658862606754472407006692 y[1] (numeric) = 1.6185228658862606754472407006679 absolute error = 1.3e-30 relative error = 8.0320150391459195889729626079073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.233 y[1] (analytic) = 1.61908984512309802469144224099 y[1] (numeric) = 1.6190898451230980246914422409887 absolute error = 1.3e-30 relative error = 8.0292023565941277644511381833705e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.234 y[1] (analytic) = 1.6196568064198690452048028459406 y[1] (numeric) = 1.6196568064198690452048028459393 absolute error = 1.3e-30 relative error = 8.0263917321691954579261628190138e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.235 y[1] (analytic) = 1.6202237497861814845574949469419 y[1] (numeric) = 1.6202237497861814845574949469407 absolute error = 1.2e-30 relative error = 7.4063844586796250392893690359214e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=259.4MB, alloc=4.4MB, time=30.31 TOP MAIN SOLVE Loop x[1] = 2.236 y[1] (analytic) = 1.6207906752316353742861213526285 y[1] (numeric) = 1.6207906752316353742861213526272 absolute error = 1.3e-30 relative error = 8.0207766484972554515467928834847e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.296 Order of pole = 5.111e-27 TOP MAIN SOLVE Loop x[1] = 2.237 y[1] (analytic) = 1.6213575827658230381538879238374 y[1] (numeric) = 1.6213575827658230381538879238361 absolute error = 1.3e-30 relative error = 8.0179721846575681426160408102047e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.238 y[1] (analytic) = 1.6219244723983291003997258499747 y[1] (numeric) = 1.6219244723983291003997258499734 absolute error = 1.3e-30 relative error = 8.0151697697593680774431727966644e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.264 Order of pole = 5.802e-27 TOP MAIN SOLVE Loop x[1] = 2.239 y[1] (analytic) = 1.6224913441387304939763812617842 y[1] (numeric) = 1.6224913441387304939763812617829 absolute error = 1.3e-30 relative error = 8.0123694015149334658062687250270e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.24 y[1] (analytic) = 1.6230581979965964687774898823465 y[1] (numeric) = 1.6230581979965964687774898823452 absolute error = 1.3e-30 relative error = 8.0095710776399780245228530461392e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.241 y[1] (analytic) = 1.6236250339814885998536543850088 y[1] (numeric) = 1.6236250339814885998536543850076 absolute error = 1.2e-30 relative error = 7.3908690423264410779414866774522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.242 y[1] (analytic) = 1.6241918521029607956175420938895 y[1] (numeric) = 1.6241918521029607956175420938882 absolute error = 1.3e-30 relative error = 8.0039805538784982120851906477762e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.243 y[1] (analytic) = 1.624758652370559306038020629614 y[1] (numeric) = 1.6247586523705593060380206296127 absolute error = 1.3e-30 relative error = 8.0011883494405205960102343747715e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.244 y[1] (analytic) = 1.6253254347938227308233490700266 y[1] (numeric) = 1.6253254347938227308233490700253 absolute error = 1.3e-30 relative error = 7.9983981802691027810042102573198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.245 y[1] (analytic) = 1.6258921993822820275934421627744 y[1] (numeric) = 1.6258921993822820275934421627731 absolute error = 1.3e-30 relative error = 7.9956100440970391669220945473649e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.246 y[1] (analytic) = 1.6264589461454605200412250938862 y[1] (numeric) = 1.6264589461454605200412250938848 absolute error = 1.4e-30 relative error = 8.6076565493267149467901041902855e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.247 y[1] (analytic) = 1.6270256750928739060830962837641 y[1] (numeric) = 1.6270256750928739060830962837627 absolute error = 1.4e-30 relative error = 8.6046583125990631782737791533966e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.012 Order of pole = 2.510e-27 TOP MAIN SOLVE Loop x[1] = 2.248 y[1] (analytic) = 1.6275923862340302659985156493717 y[1] (numeric) = 1.6275923862340302659985156493703 absolute error = 1.4e-30 relative error = 8.6016622579524347158883790519711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.249 y[1] (analytic) = 1.628159079578430070558735738834 y[1] (numeric) = 1.6281590795784300705587357388326 absolute error = 1.4e-30 relative error = 8.5986683829598149730511585262667e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.25 y[1] (analytic) = 1.6287257551355661891446931121726 y[1] (numeric) = 1.6287257551355661891446931121712 absolute error = 1.4e-30 relative error = 8.5956766851978201011918323886044e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.251 y[1] (analytic) = 1.6292924129149238978540773094694 y[1] (numeric) = 1.629292412914923897854077309468 absolute error = 1.4e-30 relative error = 8.5926871622466901714611114388049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.252 y[1] (analytic) = 1.6298590529259808875975947153966 y[1] (numeric) = 1.6298590529259808875975947153952 absolute error = 1.4e-30 relative error = 8.5896998116902823718367397487920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.253 y[1] (analytic) = 1.630425675178207272184444596762 y[1] (numeric) = 1.6304256751782072721844445967606 absolute error = 1.4e-30 relative error = 8.5867146311160642195864259573833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.254 y[1] (analytic) = 1.6309922796810655963970245574984 y[1] (numeric) = 1.6309922796810655963970245574969 absolute error = 1.5e-30 relative error = 9.1968553051233287025505538127689e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.255 y[1] (analytic) = 1.6315588664440108440548826233746 y[1] (numeric) = 1.6315588664440108440548826233731 absolute error = 1.5e-30 relative error = 9.1936615395879406657293398502956e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.256 y[1] (analytic) = 1.6321254354764904460679331366253 y[1] (numeric) = 1.6321254354764904460679331366238 absolute error = 1.5e-30 relative error = 9.1904700913020381957478002534995e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.257 y[1] (analytic) = 1.6326919867879442884789536086792 y[1] (numeric) = 1.6326919867879442884789536086777 absolute error = 1.5e-30 relative error = 9.1872809576961655048705894623631e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.258 y[1] (analytic) = 1.6332585203878047204953796472214 y[1] (numeric) = 1.6332585203878047204953796472199 absolute error = 1.5e-30 relative error = 9.1840941362046988988037739228349e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.259 y[1] (analytic) = 1.633825036285496562510415041948 y[1] (numeric) = 1.6338250362854965625104150419466 absolute error = 1.4e-30 relative error = 8.5688489826481169620068764441731e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.26 y[1] (analytic) = 1.634391534490437114113474061559 y[1] (numeric) = 1.6343915344904371141134740615576 absolute error = 1.4e-30 relative error = 8.5658789247001661600167234595774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.261 y[1] (analytic) = 1.6349580150120361620899729827939 y[1] (numeric) = 1.6349580150120361620899729827925 absolute error = 1.4e-30 relative error = 8.5629110175633075293560933059629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.262 y[1] (analytic) = 1.6355244778596959884104878406403 y[1] (numeric) = 1.6355244778596959884104878406389 absolute error = 1.4e-30 relative error = 8.5599452588571986256779765890829e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.263 y[1] (analytic) = 1.6360909230428113782092953572368 y[1] (numeric) = 1.6360909230428113782092953572354 absolute error = 1.4e-30 relative error = 8.5569816462050402943371853325432e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.951 Order of pole = 7.706e-27 TOP MAIN SOLVE Loop x[1] = 2.264 y[1] (analytic) = 1.6366573505707696277523139754508 y[1] (numeric) = 1.6366573505707696277523139754494 absolute error = 1.4e-30 relative error = 8.5540201772335700491337495936804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.265 y[1] (analytic) = 1.6372237604529505523944618916405 y[1] (numeric) = 1.6372237604529505523944618916391 absolute error = 1.4e-30 relative error = 8.5510608495730554659353513927274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.266 y[1] (analytic) = 1.6377901526987264945264489507004 y[1] (numeric) = 1.637790152698726494526448950699 absolute error = 1.4e-30 relative error = 8.5481036608572875911397482895334e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.267 memory used=263.2MB, alloc=4.4MB, time=30.77 y[1] (analytic) = 1.6383565273174623315110192351535 y[1] (numeric) = 1.6383565273174623315110192351521 absolute error = 1.4e-30 relative error = 8.5451486087235743649382561047117e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.865 Order of pole = 7.388e-27 TOP MAIN SOLVE Loop x[1] = 2.268 y[1] (analytic) = 1.6389228843185154836086611487764 y[1] (numeric) = 1.638922884318515483608661148775 absolute error = 1.4e-30 relative error = 8.5421956908127340593414770492004e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.269 y[1] (analytic) = 1.63948922371123592189280176404 y[1] (numeric) = 1.6394892237112359218928017640386 absolute error = 1.4e-30 relative error = 8.5392449047690887309285758992634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.27 y[1] (analytic) = 1.6400555455049661761545021715042 y[1] (numeric) = 1.6400555455049661761545021715028 absolute error = 1.4e-30 relative error = 8.5362962482404576882815228344613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.271 y[1] (analytic) = 1.6406218497090413427966705382339 y[1] (numeric) = 1.6406218497090413427966705382325 absolute error = 1.4e-30 relative error = 8.5333497188781509740658371455060e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.272 y[1] (analytic) = 1.6411881363327890927178095512922 y[1] (numeric) = 1.6411881363327890927178095512909 absolute error = 1.3e-30 relative error = 7.9210906490271798001680897030676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.273 y[1] (analytic) = 1.641754405385529679185314891425 y[1] (numeric) = 1.6417544053855296791853148914236 absolute error = 1.4e-30 relative error = 8.5274630322751653667116690151612e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.5 Order of pole = 3.696e-26 TOP MAIN SOLVE Loop x[1] = 2.274 y[1] (analytic) = 1.6423206568765759456983413511726 y[1] (numeric) = 1.6423206568765759456983413511713 absolute error = 1.3e-30 relative error = 7.9156283796148945028810771390927e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.275 y[1] (analytic) = 1.6428868908152333338402531808355 y[1] (numeric) = 1.6428868908152333338402531808342 absolute error = 1.3e-30 relative error = 7.9129001957944530149834575200323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.276 y[1] (analytic) = 1.6434531072107998911206752149684 y[1] (numeric) = 1.6434531072107998911206752149672 absolute error = 1.2e-30 relative error = 7.3016990550864574404871277369900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.277 y[1] (analytic) = 1.6440193060725662788071613014026 y[1] (numeric) = 1.6440193060725662788071613014013 absolute error = 1.3e-30 relative error = 7.9074497191009177838876993601401e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.278 y[1] (analytic) = 1.6445854874098157797464965241732 y[1] (numeric) = 1.6445854874098157797464965241719 absolute error = 1.3e-30 relative error = 7.9047274219078147367278425292886e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.279 y[1] (analytic) = 1.6451516512318243061756496811828 y[1] (numeric) = 1.6451516512318243061756496811815 absolute error = 1.3e-30 relative error = 7.9020070826091415998457798433049e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.106 Order of pole = 6.262e-27 TOP MAIN SOLVE Loop x[1] = 2.28 y[1] (analytic) = 1.6457177975478604075223924469396 y[1] (numeric) = 1.6457177975478604075223924469383 absolute error = 1.3e-30 relative error = 7.8992886990528744182984994201230e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.281 y[1] (analytic) = 1.6462839263671852781956016202904 y[1] (numeric) = 1.6462839263671852781956016202891 absolute error = 1.3e-30 relative error = 7.8965722690901708497774960835539e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.275 Order of pole = 2.013e-26 TOP MAIN SOLVE Loop x[1] = 2.282 y[1] (analytic) = 1.6468500376990527653652608267078 y[1] (numeric) = 1.6468500376990527653652608267065 absolute error = 1.3e-30 relative error = 7.8938577905753642595316550070265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.283 y[1] (analytic) = 1.6474161315527093767321780143992 y[1] (numeric) = 1.6474161315527093767321780143979 absolute error = 1.3e-30 relative error = 7.8911452613659578284700803820048e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.284 y[1] (analytic) = 1.6479822079373942882874350532726 y[1] (numeric) = 1.6479822079373942882874350532713 absolute error = 1.3e-30 relative error = 7.8884346793226186744105137678328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.285 y[1] (analytic) = 1.648548266862339352061585715631 y[1] (numeric) = 1.6485482668623393520615857156297 absolute error = 1.3e-30 relative error = 7.8857260423091719864390891688772e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.822 Order of pole = 1.520e-27 TOP MAIN SOLVE Loop x[1] = 2.286 y[1] (analytic) = 1.6491143083367691038636182873628 y[1] (numeric) = 1.6491143083367691038636182873615 absolute error = 1.3e-30 relative error = 7.8830193481925951723472739306514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.287 y[1] (analytic) = 1.6496803323699007710096990283582 y[1] (numeric) = 1.6496803323699007710096990283569 absolute error = 1.3e-30 relative error = 7.8803145948430120191119462503486e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.04 Order of pole = 4.810e-27 TOP MAIN SOLVE Loop x[1] = 2.288 y[1] (analytic) = 1.6502463389709442800417126709058 y[1] (numeric) = 1.6502463389709442800417126709045 absolute error = 1.3e-30 relative error = 7.8776117801336868663846614601997e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.289 y[1] (analytic) = 1.6508123281491022644356161149118 y[1] (numeric) = 1.6508123281491022644356161149105 absolute error = 1.3e-30 relative error = 7.8749109019410187929562602655361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.29 y[1] (analytic) = 1.6513782999135700722996214489358 y[1] (numeric) = 1.6513782999135700722996214489345 absolute error = 1.3e-30 relative error = 7.8722119581445358161630728046720e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.291 y[1] (analytic) = 1.6519442542735357740622243962504 y[1] (numeric) = 1.6519442542735357740622243962491 absolute error = 1.3e-30 relative error = 7.8695149466268891042010727459650e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.292 y[1] (analytic) = 1.6525101912381801701500942554104 y[1] (numeric) = 1.6525101912381801701500942554092 absolute error = 1.2e-30 relative error = 7.2616798756373974165979405999286e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.866 Order of pole = 2.769e-27 TOP MAIN SOLVE Loop x[1] = 2.293 y[1] (analytic) = 1.6530761108166767986558413751564 y[1] (numeric) = 1.6530761108166767986558413751551 absolute error = 1.3e-30 relative error = 7.8641267119742902658250555022527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.294 y[1] (analytic) = 1.6536420130181919429956781738781 y[1] (numeric) = 1.6536420130181919429956781738768 absolute error = 1.3e-30 relative error = 7.8614354846202043209696726685533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.295 y[1] (analytic) = 1.6542078978518846395569896843323 y[1] (numeric) = 1.654207897851884639556989684331 absolute error = 1.3e-30 relative error = 7.8587461811066755185113655340992e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.296 y[1] (analytic) = 1.6547737653269066853358295748313 y[1] (numeric) = 1.65477376532690668533582957483 absolute error = 1.3e-30 relative error = 7.8560587993318844150922567742242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.297 y[1] (analytic) = 1.6553396154524026455643575687116 y[1] (numeric) = 1.6553396154524026455643575687103 absolute error = 1.3e-30 relative error = 7.8533733371971002612943835532476e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.298 y[1] (analytic) = 1.6559054482375098613282341545406 y[1] (numeric) = 1.6559054482375098613282341545393 absolute error = 1.3e-30 relative error = 7.8506897926066753033757789740579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=267.0MB, alloc=4.4MB, time=31.23 TOP MAIN SOLVE Loop x[1] = 2.299 y[1] (analytic) = 1.6564712636913584571739884502341 y[1] (numeric) = 1.6564712636913584571739884502328 absolute error = 1.3e-30 relative error = 7.8480081634680390976489097975057e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.868 Order of pole = 6.793e-27 TOP MAIN SOLVE Loop x[1] = 2.3 y[1] (analytic) = 1.65703706182307134870637505503 y[1] (numeric) = 1.6570370618230713487063750550286 absolute error = 1.4e-30 relative error = 8.4488152513602845941970753466887e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.301 y[1] (analytic) = 1.657602842641764250175735694101 y[1] (numeric) = 1.6576028426417642501757356940996 absolute error = 1.4e-30 relative error = 8.4459314618982193614743054641564e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.302 y[1] (analytic) = 1.6581686061565456820553814314863 y[1] (numeric) = 1.658168606156545682055381431485 absolute error = 1.3e-30 relative error = 7.8399747478831991623146539697782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.303 y[1] (analytic) = 1.6587343523765169786090111979802 y[1] (numeric) = 1.6587343523765169786090111979789 absolute error = 1.3e-30 relative error = 7.8373007596873614380371900092946e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.304 y[1] (analytic) = 1.6593000813107722954481823516356 y[1] (numeric) = 1.6593000813107722954481823516343 absolute error = 1.3e-30 relative error = 7.8346286765264217824212406400176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.305 y[1] (analytic) = 1.659865792968398617079848959622 y[1] (numeric) = 1.6598657929683986170798489596207 absolute error = 1.3e-30 relative error = 7.8319584963261549179097596938934e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.306 y[1] (analytic) = 1.6604314873584757644439834613174 y[1] (numeric) = 1.660431487358475764443983461316 absolute error = 1.4e-30 relative error = 8.4315433106319406157338547156028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.307 y[1] (analytic) = 1.6609971644900764024412973437168 y[1] (numeric) = 1.6609971644900764024412973437155 absolute error = 1.3e-30 relative error = 7.8266238365259221760682497895529e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.308 y[1] (analytic) = 1.6615628243722660474510764315031 y[1] (numeric) = 1.6615628243722660474510764315017 absolute error = 1.4e-30 relative error = 8.4258023799305706248874123034239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.309 y[1] (analytic) = 1.6621284670141030748391463654457 y[1] (numeric) = 1.6621284670141030748391463654444 absolute error = 1.3e-30 relative error = 7.8212967637535177757121049709287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.31 y[1] (analytic) = 1.6626940924246387264559838141821 y[1] (numeric) = 1.6626940924246387264559838141807 absolute error = 1.4e-30 relative error = 8.4200696109916245277172642452506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.311 y[1] (analytic) = 1.6632597006129171181249889358725 y[1] (numeric) = 1.6632597006129171181249889358711 absolute error = 1.4e-30 relative error = 8.4172062816413757774524411267628e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.312 y[1] (analytic) = 1.663825291587975247120934577729 y[1] (numeric) = 1.6638252915879752471209345777276 absolute error = 1.4e-30 relative error = 8.4143449860881898491612721566076e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.313 y[1] (analytic) = 1.6643908653588429996386076729768 y[1] (numeric) = 1.6643908653588429996386076729755 absolute error = 1.3e-30 relative error = 7.8106653134011267418040737623252e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.314 y[1] (analytic) = 1.6649564219345431582516582664338 y[1] (numeric) = 1.6649564219345431582516582664325 absolute error = 1.3e-30 relative error = 7.8080121670061871545998041739487e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.315 y[1] (analytic) = 1.6655219613240914093616715715709 y[1] (numeric) = 1.6655219613240914093616715715696 absolute error = 1.3e-30 relative error = 7.8053609029958324184304113213182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.316 y[1] (analytic) = 1.6660874835364963506374784336634 y[1] (numeric) = 1.6660874835364963506374784336621 absolute error = 1.3e-30 relative error = 7.8027115193289485536594745150935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.317 y[1] (analytic) = 1.666652988580759498444719545439 y[1] (numeric) = 1.6666529885807594984447195454377 absolute error = 1.3e-30 relative error = 7.8000640139673986744813537842202e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.801 Order of pole = 7.715e-27 TOP MAIN SOLVE Loop x[1] = 2.318 y[1] (analytic) = 1.6672184764658752952656787334912 y[1] (numeric) = 1.6672184764658752952656787334899 absolute error = 1.3e-30 relative error = 7.7974183848760175373895349935821e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.319 y[1] (analytic) = 1.6677839472008311171094006056448 y[1] (numeric) = 1.6677839472008311171094006056435 absolute error = 1.3e-30 relative error = 7.7947746300226061016502548312185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.32 y[1] (analytic) = 1.6683494007946072809121078214375 y[1] (numeric) = 1.6683494007946072809121078214362 absolute error = 1.3e-30 relative error = 7.7921327473779261017505288662461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.321 y[1] (analytic) = 1.6689148372561770519279332199185 y[1] (numeric) = 1.6689148372561770519279332199172 absolute error = 1.3e-30 relative error = 7.7894927349156946317897966776656e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 19.96 Order of pole = 1.059e-25 TOP MAIN SOLVE Loop x[1] = 2.322 y[1] (analytic) = 1.6694802565945066511099820110594 y[1] (numeric) = 1.6694802565945066511099820110581 absolute error = 1.3e-30 relative error = 7.7868545906125787417844885528525e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.599 Order of pole = 1.965e-27 TOP MAIN SOLVE Loop x[1] = 2.323 y[1] (analytic) = 1.6700456588185552624817392092265 y[1] (numeric) = 1.6700456588185552624817392092252 absolute error = 1.3e-30 relative error = 7.7842183124481900458549084538288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.324 y[1] (analytic) = 1.6706110439372750404988374593749 y[1] (numeric) = 1.6706110439372750404988374593736 absolute error = 1.3e-30 relative error = 7.7815838984050793422639178504960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.325 y[1] (analytic) = 1.6711764119596111174012003788939 y[1] (numeric) = 1.6711764119596111174012003788926 absolute error = 1.3e-30 relative error = 7.7789513464687312452769946239664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.326 y[1] (analytic) = 1.6717417628945016105555765103621 y[1] (numeric) = 1.6717417628945016105555765103608 absolute error = 1.3e-30 relative error = 7.7763206546275588288133305510508e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.327 y[1] (analytic) = 1.6723070967508776297884789528552 y[1] (numeric) = 1.6723070967508776297884789528539 absolute error = 1.3e-30 relative error = 7.7736918208728982818577198939420e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.3414 Order of pole = 1.368e-27 TOP MAIN SOLVE Loop x[1] = 2.328 y[1] (analytic) = 1.6728724135376632847095457118928 y[1] (numeric) = 1.6728724135376632847095457118915 absolute error = 1.3e-30 relative error = 7.7710648431990035756030803382498e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.284 Order of pole = 4.973e-27 TOP MAIN SOLVE Loop x[1] = 2.329 y[1] (analytic) = 1.6734377132637756920253357806115 y[1] (numeric) = 1.6734377132637756920253357806102 absolute error = 1.3e-30 relative error = 7.7684397196030411422935359488683e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.65 Order of pole = 1.681e-26 TOP MAIN SOLVE Loop memory used=270.8MB, alloc=4.4MB, time=31.67 x[1] = 2.33 y[1] (analytic) = 1.6740029959381249828435759373105 y[1] (numeric) = 1.6740029959381249828435759373092 absolute error = 1.3e-30 relative error = 7.7658164480850845657380799477744e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.331 y[1] (analytic) = 1.6745682615696143099678732171296 y[1] (numeric) = 1.6745682615696143099678732171283 absolute error = 1.3e-30 relative error = 7.7631950266481092834649229618333e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.332 y[1] (analytic) = 1.6751335101671398551829079882948 y[1] (numeric) = 1.6751335101671398551829079882935 absolute error = 1.3e-30 relative error = 7.7605754532979873004867199430761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.333 y[1] (analytic) = 1.6756987417395908365301225360944 y[1] (numeric) = 1.6756987417395908365301225360931 absolute error = 1.3e-30 relative error = 7.7579577260434819146469562297965e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.334 y[1] (analytic) = 1.676263956295849515573920030536 y[1] (numeric) = 1.6762639562958495155739200305347 absolute error = 1.3e-30 relative error = 7.7553418428962424535178601952306e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.335 y[1] (analytic) = 1.6768291538447912046583887264791 y[1] (numeric) = 1.6768291538447912046583887264778 absolute error = 1.3e-30 relative error = 7.7527278018707990228202966225843e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.336 y[1] (analytic) = 1.6773943343952842741545662179361 y[1] (numeric) = 1.6773943343952842741545662179348 absolute error = 1.3e-30 relative error = 7.7501156009845572663361813518282e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.731 Order of pole = 3.325e-27 TOP MAIN SOLVE Loop x[1] = 2.337 y[1] (analytic) = 1.6779594979561901596982585411935 y[1] (numeric) = 1.6779594979561901596982585411922 absolute error = 1.3e-30 relative error = 7.7475052382577931372840438659983e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.338 y[1] (analytic) = 1.678524644536363369418428894416 y[1] (numeric) = 1.6785246445363633694184288944147 absolute error = 1.3e-30 relative error = 7.7448967117136476811284503237966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.339 y[1] (analytic) = 1.6790897741446514911561707144672 y[1] (numeric) = 1.6790897741446514911561707144659 absolute error = 1.3e-30 relative error = 7.7422900193781218297940851020882e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.34 y[1] (analytic) = 1.6796548867898951996742798248048 y[1] (numeric) = 1.6796548867898951996742798248035 absolute error = 1.3e-30 relative error = 7.7396851592800712072553741874848e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.341 y[1] (analytic) = 1.68021998248092826385744034149 y[1] (numeric) = 1.6802199824809282638574403414887 absolute error = 1.3e-30 relative error = 7.7370821294512009464726187516178e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.342 y[1] (analytic) = 1.6807850612265775539030389975881 y[1] (numeric) = 1.6807850612265775539030389975868 absolute error = 1.3e-30 relative error = 7.7344809279260605176456919609445e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.343 y[1] (analytic) = 1.6813501230356630485026225195297 y[1] (numeric) = 1.6813501230356630485026225195284 absolute error = 1.3e-30 relative error = 7.7318815527420385677564365100390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.344 y[1] (analytic) = 1.6819151679169978420140126623516 y[1] (numeric) = 1.6819151679169978420140126623502 absolute error = 1.4e-30 relative error = 8.3238443097808468307072141073859e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.345 y[1] (analytic) = 1.6824801958793881516240934841381 y[1] (numeric) = 1.6824801958793881516240934841367 absolute error = 1.4e-30 relative error = 8.3210489099888442844174058097491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.346 y[1] (analytic) = 1.6830452069316333245022854134468 y[1] (numeric) = 1.6830452069316333245022854134455 absolute error = 1.3e-30 relative error = 7.7240943656530496587013706058308e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.347 y[1] (analytic) = 1.6836102010825258449447206370122 y[1] (numeric) = 1.6836102010825258449447206370108 absolute error = 1.4e-30 relative error = 8.3154639898227602317387472659705e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.348 y[1] (analytic) = 1.6841751783408513415091343085941 y[1] (numeric) = 1.6841751783408513415091343085927 absolute error = 1.4e-30 relative error = 8.3126744652488957161148638125581e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.349 y[1] (analytic) = 1.6847401387153885941404860534617 y[1] (numeric) = 1.6847401387153885941404860534603 absolute error = 1.4e-30 relative error = 8.3098868948863386650082964771486e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.35 y[1] (analytic) = 1.685305082214909541287326216681 y[1] (numeric) = 1.6853050822149095412873262166796 absolute error = 1.4e-30 relative error = 8.3071012766427560533573133165182e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.351 y[1] (analytic) = 1.6858700088481792870089212771107 y[1] (numeric) = 1.6858700088481792870089212771093 absolute error = 1.4e-30 relative error = 8.3043176084288284057232044986877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.352 y[1] (analytic) = 1.6864349186239561080731528227974 y[1] (numeric) = 1.6864349186239561080731528227961 absolute error = 1.3e-30 relative error = 7.7085690390040840364109490904198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.353 y[1] (analytic) = 1.6869998115509914610452044573063 y[1] (numeric) = 1.6869998115509914610452044573049 absolute error = 1.4e-30 relative error = 8.2987561137476951643999529111656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.354 y[1] (analytic) = 1.6875646876380299893670509804182 y[1] (numeric) = 1.6875646876380299893670509804168 absolute error = 1.4e-30 relative error = 8.2959782831168693826986070251281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.355 y[1] (analytic) = 1.6881295468938095304277641605788 y[1] (numeric) = 1.6881295468938095304277641605774 absolute error = 1.4e-30 relative error = 8.2932023941884473493528999477538e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.356 y[1] (analytic) = 1.6886943893270611226246493904872 y[1] (numeric) = 1.6886943893270611226246493904858 absolute error = 1.4e-30 relative error = 8.2904284448880958328189086779145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.357 y[1] (analytic) = 1.6892592149465090124152274912745 y[1] (numeric) = 1.6892592149465090124152274912732 absolute error = 1.3e-30 relative error = 7.6956809736341438725950854155608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.358 y[1] (analytic) = 1.6898240237608706613600759048334 y[1] (numeric) = 1.6898240237608706613600759048321 absolute error = 1.3e-30 relative error = 7.6931087599685161120991837792512e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.359 y[1] (analytic) = 1.6903888157788567531565434880279 y[1] (numeric) = 1.6903888157788567531565434880266 absolute error = 1.3e-30 relative error = 7.6905383416241856032493201027089e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.36 y[1] (analytic) = 1.6909535910091712006633530967327 y[1] (numeric) = 1.6909535910091712006633530967313 absolute error = 1.4e-30 relative error = 8.2793520025849534988342321008245e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.361 y[1] (analytic) = 1.6915183494605111529161061219258 y[1] (numeric) = 1.6915183494605111529161061219244 absolute error = 1.4e-30 relative error = 8.2765877204141041491361405869716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=274.6MB, alloc=4.4MB, time=32.13 TOP MAIN SOLVE Loop x[1] = 2.362 y[1] (analytic) = 1.6920830911415670021337031143848 y[1] (numeric) = 1.6920830911415670021337031143834 absolute error = 1.4e-30 relative error = 8.2738253654877397192961549433398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.363 y[1] (analytic) = 1.692647816061022390715694608917 y[1] (numeric) = 1.6926478160610223907156946089156 absolute error = 1.4e-30 relative error = 8.2710649357522816452537476594205e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 20.38 Order of pole = 3.799e-26 TOP MAIN SOLVE Loop x[1] = 2.364 y[1] (analytic) = 1.6932125242275542182305762334889 y[1] (numeric) = 1.6932125242275542182305762334875 absolute error = 1.4e-30 relative error = 8.2683064291570949863954053162035e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.365 y[1] (analytic) = 1.6937772156498326483950421631045 y[1] (numeric) = 1.6937772156498326483950421631031 absolute error = 1.4e-30 relative error = 8.2655498436544831279105266169455e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.366 y[1] (analytic) = 1.6943418903365211160442109528231 y[1] (numeric) = 1.6943418903365211160442109528217 absolute error = 1.4e-30 relative error = 8.2627951771996824946139052516141e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.367 y[1] (analytic) = 1.6949065482962763340928377588972 y[1] (numeric) = 1.6949065482962763340928377588958 absolute error = 1.4e-30 relative error = 8.2600424277508572762058102058028e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.815 Order of pole = 2.498e-27 TOP MAIN SOLVE Loop x[1] = 2.368 y[1] (analytic) = 1.6954711895377483004875269316577 y[1] (numeric) = 1.6954711895377483004875269316563 absolute error = 1.4e-30 relative error = 8.2572915932690941639407599137513e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.369 y[1] (analytic) = 1.6960358140695803051499589384682 y[1] (numeric) = 1.6960358140695803051499589384667 absolute error = 1.5e-30 relative error = 8.8441528625554254628673251837179e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.37 y[1] (analytic) = 1.6966004219004089369111455498201 y[1] (numeric) = 1.6966004219004089369111455498186 absolute error = 1.5e-30 relative error = 8.8412096368560878895772917544120e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.371 y[1] (analytic) = 1.6971650130388640904367271964432 y[1] (numeric) = 1.6971650130388640904367271964417 absolute error = 1.5e-30 relative error = 8.8382684563722553803361225600706e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.593 Order of pole = 4.864e-27 TOP MAIN SOLVE Loop x[1] = 2.372 y[1] (analytic) = 1.6977295874935689731433263801566 y[1] (numeric) = 1.697729587493568973143326380155 absolute error = 1.6e-30 relative error = 9.4243512735273032732880850020697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.373 y[1] (analytic) = 1.6982941452731401121059709960925 y[1] (numeric) = 1.698294145273140112105970996091 absolute error = 1.5e-30 relative error = 8.8323922223658843257797818343145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.374 y[1] (analytic) = 1.6988586863861873609566013988832 y[1] (numeric) = 1.6988586863861873609566013988816 absolute error = 1.6e-30 relative error = 9.4180876421423868731498783743344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.375 y[1] (analytic) = 1.6994232108413139067736750204065 y[1] (numeric) = 1.6994232108413139067736750204049 absolute error = 1.6e-30 relative error = 9.4149590860766600858526206810429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.376 y[1] (analytic) = 1.6999877186471162769628823217512 y[1] (numeric) = 1.6999877186471162769628823217496 absolute error = 1.6e-30 relative error = 9.4118327000227479665613483558476e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.377 y[1] (analytic) = 1.7005522098121843461289878371705 y[1] (numeric) = 1.7005522098121843461289878371688 absolute error = 1.7e-30 relative error = 9.9967527617852713011037440711763e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.378 y[1] (analytic) = 1.7011166843451013429388100429578 y[1] (numeric) = 1.7011166843451013429388100429561 absolute error = 1.7e-30 relative error = 9.9934355805490718240348693975891e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.379 y[1] (analytic) = 1.7016811422544438569753537593938 y[1] (numeric) = 1.7016811422544438569753537593921 absolute error = 1.7e-30 relative error = 9.9901206976283663593929200569972e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.38 y[1] (analytic) = 1.7022455835487818455831087691774 y[1] (numeric) = 1.7022455835487818455831087691757 absolute error = 1.7e-30 relative error = 9.9868081105894231088666463959060e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.381 y[1] (analytic) = 1.7028100082366786407045283110715 y[1] (numeric) = 1.7028100082366786407045283110697 absolute error = 1.8e-30 relative error = 1.0570762394472681725785147485152e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.382 y[1] (analytic) = 1.7033744163266909557077010828608 y[1] (numeric) = 1.7033744163266909557077010828591 absolute error = 1.7e-30 relative error = 9.9801898144392244126417511300345e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.383 y[1] (analytic) = 1.7039388078273688922052303631396 y[1] (numeric) = 1.7039388078273688922052303631378 absolute error = 1.8e-30 relative error = 1.0563759635800039556588251066421e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.384 y[1] (analytic) = 1.7045031827472559468643338369112 y[1] (numeric) = 1.7045031827472559468643338369094 absolute error = 1.8e-30 relative error = 1.0560261888738897938411168303090e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.385 y[1] (analytic) = 1.7050675410948890182081776855071 y[1] (numeric) = 1.7050675410948890182081776855054 absolute error = 1.7e-30 relative error = 9.9702795286828640439541335924720e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.386 y[1] (analytic) = 1.7056318828787984134084584768972 y[1] (numeric) = 1.7056318828787984134084584768955 absolute error = 1.7e-30 relative error = 9.9669806660198400326507169562197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.387 y[1] (analytic) = 1.7061962081075078550692463680865 y[1] (numeric) = 1.7061962081075078550692463680848 absolute error = 1.7e-30 relative error = 9.9636840822991828473952524740128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.388 y[1] (analytic) = 1.7067605167895344880021031069626 y[1] (numeric) = 1.7067605167895344880021031069609 absolute error = 1.7e-30 relative error = 9.9603897751147231007325542034716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.389 y[1] (analytic) = 1.7073248089333888859924882966794 y[1] (numeric) = 1.7073248089333888859924882966776 absolute error = 1.8e-30 relative error = 1.0542809373949809615381529815720e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.39 y[1] (analytic) = 1.7078890845475750585574673614304 y[1] (numeric) = 1.7078890845475750585574673614287 absolute error = 1.7e-30 relative error = 9.9538079807468006582052635656152e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.391 y[1] (analytic) = 1.7084533436405904576947346282893 y[1] (numeric) = 1.7084533436405904576947346282876 absolute error = 1.7e-30 relative error = 9.9505204887680632000725535029207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.392 y[1] (analytic) = 1.70901758622092598462296491566 y[1] (numeric) = 1.7090175862209259846229649156583 absolute error = 1.7e-30 relative error = 9.9472352637349615050029540990237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.393 memory used=278.4MB, alloc=4.4MB, time=32.58 y[1] (analytic) = 1.7095818122970659965135069948027 y[1] (numeric) = 1.709581812297065996513506994801 absolute error = 1.7e-30 relative error = 9.9439523032583537451378630107190e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.394 y[1] (analytic) = 1.7101460218774883132134322668676 y[1] (numeric) = 1.7101460218774883132134322668659 absolute error = 1.7e-30 relative error = 9.9406716049524854235599692370900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.395 y[1] (analytic) = 1.7107102149706642239599519738891 y[1] (numeric) = 1.7107102149706642239599519738874 absolute error = 1.7e-30 relative error = 9.9373931664349833442436306320613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.396 y[1] (analytic) = 1.7112743915850584940862162382576 y[1] (numeric) = 1.7112743915850584940862162382558 absolute error = 1.8e-30 relative error = 1.0518476807993134865205112422464e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.397 y[1] (analytic) = 1.7118385517291293717185082013057 y[1] (numeric) = 1.7118385517291293717185082013039 absolute error = 1.8e-30 relative error = 1.0515010298032011751195966375941e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.398 y[1] (analytic) = 1.7124026954113285944648465078101 y[1] (numeric) = 1.7124026954113285944648465078083 absolute error = 1.8e-30 relative error = 1.0511546173241861481015766075254e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.399 y[1] (analytic) = 1.7129668226401013960950093594232 y[1] (numeric) = 1.7129668226401013960950093594215 absolute error = 1.7e-30 relative error = 9.9243019627191824608468743468943e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.4 y[1] (analytic) = 1.7135309334238865132119933363154 y[1] (numeric) = 1.7135309334238865132119933363137 absolute error = 1.7e-30 relative error = 9.9210347875258387042265218739160e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.401 y[1] (analytic) = 1.7140950277711161919149201626172 y[1] (numeric) = 1.7140950277711161919149201626154 absolute error = 1.8e-30 relative error = 1.0501168084832428170719803799926e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.402 y[1] (analytic) = 1.7146591056902161944534045676144 y[1] (numeric) = 1.7146591056902161944534045676127 absolute error = 1.7e-30 relative error = 9.9145071714746743144747492476537e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.38 Order of pole = 5.652e-27 TOP MAIN SOLVE Loop x[1] = 2.403 y[1] (analytic) = 1.7152231671896058058733963710565 y[1] (numeric) = 1.7152231671896058058733963710548 absolute error = 1.7e-30 relative error = 9.9112467259024435024583631484967e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.404 y[1] (analytic) = 1.715787212277697840654509897395 y[1] (numeric) = 1.7157872122776978406545098973932 absolute error = 1.8e-30 relative error = 1.0490811372877118946051597922742e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.405 y[1] (analytic) = 1.7163512409628986493388538002774 y[1] (numeric) = 1.7163512409628986493388538002756 absolute error = 1.8e-30 relative error = 1.0487363874250897205841574764018e-28 % Correct digits = 29 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.406 y[1] (analytic) = 1.7169152532536081251513743551734 y[1] (numeric) = 1.7169152532536081251513743551717 absolute error = 1.7e-30 relative error = 9.9014788107825753718616251975401e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.407 y[1] (analytic) = 1.7174792491582197106117252546124 y[1] (numeric) = 1.7174792491582197106117252546107 absolute error = 1.7e-30 relative error = 9.8982273051229775529092086042458e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.408 y[1] (analytic) = 1.7180432286851204041376769171607 y[1] (numeric) = 1.718043228685120404137676917159 absolute error = 1.7e-30 relative error = 9.8949780285858724936121417651171e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.409 y[1] (analytic) = 1.7186071918426907666400782979666 y[1] (numeric) = 1.7186071918426907666400782979649 absolute error = 1.7e-30 relative error = 9.8917309788355992268436963444461e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.41 y[1] (analytic) = 1.7191711386393049281093841654432 y[1] (numeric) = 1.7191711386393049281093841654415 absolute error = 1.7e-30 relative error = 9.8884861535397891669936843344437e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.411 y[1] (analytic) = 1.719735069083330594193760785454 y[1] (numeric) = 1.7197350690833305941937607854524 absolute error = 1.6e-30 relative error = 9.3037586356417508542745427663294e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.412 y[1] (analytic) = 1.7202989831831290527687829312057 y[1] (numeric) = 1.7202989831831290527687829312041 absolute error = 1.6e-30 relative error = 9.3007088630574223828568468062808e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.413 y[1] (analytic) = 1.7208628809470551804987351139398 y[1] (numeric) = 1.7208628809470551804987351139382 absolute error = 1.6e-30 relative error = 9.2976611775103207614757086936779e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.414 y[1] (analytic) = 1.7214267623834574493895299064512 y[1] (numeric) = 1.7214267623834574493895299064495 absolute error = 1.7e-30 relative error = 9.8755290503687166558488797878920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.415 y[1] (analytic) = 1.7219906275006779333332562084402 y[1] (numeric) = 1.7219906275006779333332562084386 absolute error = 1.6e-30 relative error = 9.2915720587995482185532323816978e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.416 y[1] (analytic) = 1.7225544763070523146443702797391 y[1] (numeric) = 1.7225544763070523146443702797375 absolute error = 1.6e-30 relative error = 9.2885306212794254601507544409708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.417 y[1] (analytic) = 1.7231183088109098905875423445233 y[1] (numeric) = 1.7231183088109098905875423445217 absolute error = 1.6e-30 relative error = 9.2854912620836150367292106176080e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.418 y[1] (analytic) = 1.723682125020573579897171546746 y[1] (numeric) = 1.7236821250205735798971715467444 absolute error = 1.6e-30 relative error = 9.2824539790415397452824260991820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.419 y[1] (analytic) = 1.7242459249443599292885820142014 y[1] (numeric) = 1.7242459249443599292885820141998 absolute error = 1.6e-30 relative error = 9.2794187699856721520295094264241e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.42 y[1] (analytic) = 1.7248097085905791199609127658376 y[1] (numeric) = 1.724809708590579119960912765836 absolute error = 1.6e-30 relative error = 9.2763856327515292119352721991805e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.421 y[1] (analytic) = 1.7253734759675349740917141742049 y[1] (numeric) = 1.7253734759675349740917141742033 absolute error = 1.6e-30 relative error = 9.2733545651776668996476526305786e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6072 Order of pole = 1.662e-27 TOP MAIN SOLVE Loop x[1] = 2.422 y[1] (analytic) = 1.725937227083524961323263672231 y[1] (numeric) = 1.7259372270835249613232636722294 absolute error = 1.6e-30 relative error = 9.2703255651056748518238468137345e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.423 y[1] (analytic) = 1.7265009619468402052406133708728 y[1] (numeric) = 1.7265009619468402052406133708712 absolute error = 1.6e-30 relative error = 9.2672986303801710208169317551709e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.502 Order of pole = 1.646e-27 TOP MAIN SOLVE Loop x[1] = 2.424 y[1] (analytic) = 1.7270646805657654898413822315939 y[1] (numeric) = 1.7270646805657654898413822315924 absolute error = 1.5e-30 relative error = 8.6852566489207465684639164030691e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=282.2MB, alloc=4.4MB, time=33.02 TOP MAIN SOLVE Loop x[1] = 2.425 y[1] (analytic) = 1.7276283829485792659973054150652 y[1] (numeric) = 1.7276283829485792659973054150637 absolute error = 1.5e-30 relative error = 8.6824227640895713111534299932502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.426 y[1] (analytic) = 1.7281920691035536579075534049783 y[1] (numeric) = 1.7281920691035536579075534049767 absolute error = 1.6e-30 relative error = 9.2582301967740811321671885052460e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.427 y[1] (analytic) = 1.7287557390389544695438334834022 y[1] (numeric) = 1.7287557390389544695438334834007 absolute error = 1.5e-30 relative error = 8.6767607830697714238140729162488e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.428 y[1] (analytic) = 1.7293193927630411910872861116987 y[1] (numeric) = 1.7293193927630411910872861116971 absolute error = 1.6e-30 relative error = 9.2521948617229142900510995102344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.429 y[1] (analytic) = 1.7298830302840670053571887486387 y[1] (numeric) = 1.7298830302840670053571887486371 absolute error = 1.6e-30 relative error = 9.2491802739822316527153196613528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.43 y[1] (analytic) = 1.7304466516102787942314796150454 y[1] (numeric) = 1.7304466516102787942314796150438 absolute error = 1.6e-30 relative error = 9.2461677365847090205701318392021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.431 y[1] (analytic) = 1.731010256749917145059113892003 y[1] (numeric) = 1.7310102567499171450591138920014 absolute error = 1.6e-30 relative error = 9.2431572473989997582649125714578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.432 y[1] (analytic) = 1.7315738457112163570642648174443 y[1] (numeric) = 1.7315738457112163570642648174427 absolute error = 1.6e-30 relative error = 9.2401488042967379359303914769847e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.942 Order of pole = 2.198e-26 TOP MAIN SOLVE Loop x[1] = 2.433 y[1] (analytic) = 1.732137418502404447742382123737 y[1] (numeric) = 1.7321374185024044477423821237355 absolute error = 1.5e-30 relative error = 8.6598210048304997765022891055081e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.434 y[1] (analytic) = 1.7327009751317031592481202367499 y[1] (numeric) = 1.7327009751317031592481202367484 absolute error = 1.5e-30 relative error = 8.6570044198537172106573813980019e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.435 y[1] (analytic) = 1.7332645156073279647751486347789 y[1] (numeric) = 1.7332645156073279647751486347774 absolute error = 1.5e-30 relative error = 8.6541897471108548911296474843485e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 14.46 Order of pole = 1.026e-26 TOP MAIN SOLVE Loop x[1] = 2.436 y[1] (analytic) = 1.733828039937488074927856743664 y[1] (numeric) = 1.7338280399374880749278567436625 absolute error = 1.5e-30 relative error = 8.6513769846176984367107629807446e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.437 y[1] (analytic) = 1.7343915481303864440849657224159 y[1] (numeric) = 1.7343915481303864440849657224145 absolute error = 1.4e-30 relative error = 8.0719950550332832157590651546832e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.438 y[1] (analytic) = 1.7349550401942197767550594717124 y[1] (numeric) = 1.734955040194219776755059471711 absolute error = 1.4e-30 relative error = 8.0693733702936579298725481143393e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.788 Order of pole = 3.726e-26 TOP MAIN SOLVE Loop x[1] = 2.439 y[1] (analytic) = 1.7355185161371785339240471757015 y[1] (numeric) = 1.7355185161371785339240471757 absolute error = 1.5e-30 relative error = 8.6429501388358410180026332463566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.44 y[1] (analytic) = 1.7360819759674469393945696656776 y[1] (numeric) = 1.7360819759674469393945696656761 absolute error = 1.5e-30 relative error = 8.6401449975546910255723451993839e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.441 y[1] (analytic) = 1.7366454196932029861173618723665 y[1] (numeric) = 1.736645419693202986117361872365 absolute error = 1.5e-30 relative error = 8.6373417566436277238574613849372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.442 y[1] (analytic) = 1.7372088473226184425145836117674 y[1] (numeric) = 1.7372088473226184425145836117658 absolute error = 1.6e-30 relative error = 9.2101764417439829104669800315281e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.032 Order of pole = 6.007e-27 TOP MAIN SOLVE Loop x[1] = 2.443 y[1] (analytic) = 1.7377722588638588587951309277622 y[1] (numeric) = 1.7377722588638588587951309277606 absolute error = 1.6e-30 relative error = 9.2071903659347558981310874681847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.444 y[1] (analytic) = 1.7383356543250835732619401930037 y[1] (numeric) = 1.7383356543250835732619401930021 absolute error = 1.6e-30 relative error = 9.2042063108991859424939300091580e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.445 y[1] (analytic) = 1.7388990337144457186112971479397 y[1] (numeric) = 1.7388990337144457186112971479382 absolute error = 1.5e-30 relative error = 8.6261477573879849679723824155960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.446 y[1] (analytic) = 1.7394623970400922282241630362248 y[1] (numeric) = 1.7394623970400922282241630362233 absolute error = 1.5e-30 relative error = 8.6233539888670962306640732191905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.447 y[1] (analytic) = 1.7400257443101638424495299732015 y[1] (numeric) = 1.7400257443101638424495299732 absolute error = 1.5e-30 relative error = 8.6205621089513106262483193762498e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.448 y[1] (analytic) = 1.7405890755327951148798176626148 y[1] (numeric) = 1.7405890755327951148798176626133 absolute error = 1.5e-30 relative error = 8.6177721156893352990930448595184e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.449 y[1] (analytic) = 1.7411523907161144186183235552437 y[1] (numeric) = 1.7411523907161144186183235552422 absolute error = 1.5e-30 relative error = 8.6149840071325897765479850294303e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.45 y[1] (analytic) = 1.7417156898682439525387385216992 y[1] (numeric) = 1.7417156898682439525387385216977 absolute error = 1.5e-30 relative error = 8.6121977813352012346075676545458e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.451 y[1] (analytic) = 1.7422789729972997475367400902482 y[1] (numeric) = 1.7422789729972997475367400902467 absolute error = 1.5e-30 relative error = 8.6094134363539997735131581893560e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.452 y[1] (analytic) = 1.7428422401113916727736752791728 y[1] (numeric) = 1.7428422401113916727736752791712 absolute error = 1.6e-30 relative error = 9.1804063682650812834883158424764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.453 y[1] (analytic) = 1.7434054912186234419123450318721 y[1] (numeric) = 1.7434054912186234419123450318706 absolute error = 1.5e-30 relative error = 8.6038503810809648390566173897265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.454 y[1] (analytic) = 1.7439687263270926193449022416514 y[1] (numeric) = 1.7439687263270926193449022416499 absolute error = 1.5e-30 relative error = 8.6010716669162638064962265380179e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.455 y[1] (analytic) = 1.7445319454448906264128753319226 y[1] (numeric) = 1.7445319454448906264128753319211 absolute error = 1.5e-30 relative error = 8.5982948258220053567763491095423e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.456 y[1] (analytic) = 1.7450951485801027476193293363694 y[1] (numeric) = 1.7450951485801027476193293363679 absolute error = 1.5e-30 relative error = 8.5955198558684636915821638246618e-29 % memory used=286.1MB, alloc=4.4MB, time=33.48 Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.457 y[1] (analytic) = 1.7456583357408081368331764024922 y[1] (numeric) = 1.7456583357408081368331764024907 absolute error = 1.5e-30 relative error = 8.5927467551285877978257804980009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.458 y[1] (analytic) = 1.7462215069350798234856476208625 y[1] (numeric) = 1.746221506935079823485647620861 absolute error = 1.5e-30 relative error = 8.5899755216779967921453974586636e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9538 Order of pole = 9.20e-28 TOP MAIN SOLVE Loop x[1] = 2.459 y[1] (analytic) = 1.746784662170984718758938061365 y[1] (numeric) = 1.7467846621709847187589380613635 absolute error = 1.5e-30 relative error = 8.5872061535949752751507391445199e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.46 y[1] (analytic) = 1.747347801456583621767036876704 y[1] (numeric) = 1.7473478014565836217670368767025 absolute error = 1.5e-30 relative error = 8.5844386489604686953909414097494e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.292 Order of pole = 3.399e-27 TOP MAIN SOLVE Loop x[1] = 2.461 y[1] (analytic) = 1.7479109247999312257287543124868 y[1] (numeric) = 1.7479109247999312257287543124853 absolute error = 1.5e-30 relative error = 8.5816730058580787230211187235401e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.462 y[1] (analytic) = 1.7484740322090761241329574422754 y[1] (numeric) = 1.7484740322090761241329574422739 absolute error = 1.5e-30 relative error = 8.5789092223740586331439138668968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.463 y[1] (analytic) = 1.7490371236920608168960264251231 y[1] (numeric) = 1.7490371236920608168960264251216 absolute error = 1.5e-30 relative error = 8.5761472965973086988023969546149e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.317 Order of pole = 4.714e-27 TOP MAIN SOLVE Loop x[1] = 2.464 y[1] (analytic) = 1.749600199256921716511543062273 y[1] (numeric) = 1.7496001992569217165115430622716 absolute error = 1.4e-30 relative error = 8.0018280781780801540273635133191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.465 y[1] (analytic) = 1.7501632589116891541922234089056 y[1] (numeric) = 1.7501632589116891541922234089041 absolute error = 1.5e-30 relative error = 8.5706290105344278039292120156550e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.466 y[1] (analytic) = 1.7507263026643873860041061760661 y[1] (numeric) = 1.7507263026643873860041061760647 absolute error = 1.4e-30 relative error = 7.9966811366766716473852585190222e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.467 y[1] (analytic) = 1.7512893305230345989930086371986 y[1] (numeric) = 1.7512893305230345989930086371972 absolute error = 1.4e-30 relative error = 7.9941102569378434729894790121635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.468 y[1] (analytic) = 1.7518523424956429173032617330387 y[1] (numeric) = 1.7518523424956429173032617330372 absolute error = 1.5e-30 relative error = 8.5623654666188323085898172330777e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.469 y[1] (analytic) = 1.7524153385902184082887360479954 y[1] (numeric) = 1.7524153385902184082887360479939 absolute error = 1.5e-30 relative error = 8.5596146471002628644097908085185e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.47 y[1] (analytic) = 1.7529783188147610886161703105666 y[1] (numeric) = 1.7529783188147610886161703105651 absolute error = 1.5e-30 relative error = 8.5568656719849964567280897701647e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.148 Order of pole = 9.56e-28 TOP MAIN SOLVE Loop x[1] = 2.471 y[1] (analytic) = 1.7535412831772649303608140497865 y[1] (numeric) = 1.753541283177264930360814049785 absolute error = 1.5e-30 relative error = 8.5541185393829446402706299573330e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.472 y[1] (analytic) = 1.7541042316857178670943960192052 y[1] (numeric) = 1.7541042316857178670943960192037 absolute error = 1.5e-30 relative error = 8.5513732474066249350836040908862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.473 y[1] (analytic) = 1.7546671643481017999654299794367 y[1] (numeric) = 1.7546671643481017999654299794353 absolute error = 1.4e-30 relative error = 7.9787211412264125604375053627493e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.951 Order of pole = 9.13e-28 TOP MAIN SOLVE Loop x[1] = 2.474 y[1] (analytic) = 1.7552300811723926037718694098945 y[1] (numeric) = 1.7552300811723926037718694098931 absolute error = 1.4e-30 relative error = 7.9761622992746377237600592966109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.475 y[1] (analytic) = 1.7557929821665601330261226999522 y[1] (numeric) = 1.7557929821665601330261226999509 absolute error = 1.3e-30 relative error = 7.4040619435433980210257834632166e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.476 y[1] (analytic) = 1.756355867338568228012440349434 y[1] (numeric) = 1.7563558673385682280124403494326 absolute error = 1.4e-30 relative error = 7.9710497515599757496157446607399e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.987 Order of pole = 5.334e-27 TOP MAIN SOLVE Loop x[1] = 2.477 y[1] (analytic) = 1.7569187366963747208366856880366 y[1] (numeric) = 1.7569187366963747208366856880353 absolute error = 1.3e-30 relative error = 7.3993177535601750023016436566604e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.478 y[1] (analytic) = 1.7574815902479314414685006030367 y[1] (numeric) = 1.7574815902479314414685006030354 absolute error = 1.3e-30 relative error = 7.3969480375416416228773719778852e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.479 y[1] (analytic) = 1.7580444280011842237758777444141 y[1] (numeric) = 1.7580444280011842237758777444128 absolute error = 1.3e-30 relative error = 7.3945799053442596859466076740773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.48 y[1] (analytic) = 1.758607249964072911552150656354 y[1] (numeric) = 1.7586072499640729115521506563528 absolute error = 1.2e-30 relative error = 6.8235815587847436761070859804119e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.481 y[1] (analytic) = 1.7591700561445313645354132639536 y[1] (numeric) = 1.7591700561445313645354132639524 absolute error = 1.2e-30 relative error = 6.8213985101017965288144674557933e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.482 y[1] (analytic) = 1.7597328465504874644203801238654 y[1] (numeric) = 1.7597328465504874644203801238641 absolute error = 1.3e-30 relative error = 7.3874849955112346163352895755847e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.819 Order of pole = 2.960e-26 TOP MAIN SOLVE Loop x[1] = 2.483 y[1] (analytic) = 1.7602956211898631208626988275581 y[1] (numeric) = 1.7602956211898631208626988275569 absolute error = 1.2e-30 relative error = 6.8170367837924060376864158071889e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.484 y[1] (analytic) = 1.7608583800705742774757259258629 y[1] (numeric) = 1.7608583800705742774757259258617 absolute error = 1.2e-30 relative error = 6.8148581031934245122356336192857e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.485 y[1] (analytic) = 1.7614211232005309178197777234978 y[1] (numeric) = 1.7614211232005309178197777234966 absolute error = 1.2e-30 relative error = 6.8126808756532930774851382010718e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.3155 Order of pole = 1.90e-28 TOP MAIN SOLVE Loop x[1] = 2.486 y[1] (analytic) = 1.761983850587637071383867272334 y[1] (numeric) = 1.7619838505876370713838672723328 absolute error = 1.2e-30 relative error = 6.8105050996908369668500557161330e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.245 Order of pole = 7.94e-28 TOP MAIN SOLVE Loop x[1] = 2.487 y[1] (analytic) = 1.7625465622397908195599388722738 y[1] (numeric) = 1.7625465622397908195599388722726 absolute error = 1.2e-30 relative error = 6.8083307738269128256419314690048e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.95 Order of pole = 4.706e-27 memory used=289.9MB, alloc=4.4MB, time=33.93 TOP MAIN SOLVE Loop x[1] = 2.488 y[1] (analytic) = 1.7631092581648843016096113687562 y[1] (numeric) = 1.763109258164884301609611368755 absolute error = 1.2e-30 relative error = 6.8061578965844052124970118146411e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.489 y[1] (analytic) = 1.7636719383708037206234415160958 y[1] (numeric) = 1.7636719383708037206234415160946 absolute error = 1.2e-30 relative error = 6.8039864664882231080520961927227e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.49 y[1] (analytic) = 1.7642346028654293494727186560858 y[1] (numeric) = 1.7642346028654293494727186560846 absolute error = 1.2e-30 relative error = 6.8018164820652964308504220052776e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.491 y[1] (analytic) = 1.7647972516566355367538019415632 y[1] (numeric) = 1.7647972516566355367538019415621 absolute error = 1.1e-30 relative error = 6.2330106133575248470884191162341e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.492 y[1] (analytic) = 1.765359884752290712725011314941 y[1] (numeric) = 1.7653598847522907127250113149399 absolute error = 1.1e-30 relative error = 6.2310241073272617954719802760577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.493 y[1] (analytic) = 1.7659225021602573952360834320558 y[1] (numeric) = 1.7659225021602573952360834320546 absolute error = 1.2e-30 relative error = 6.7953151881355892525691335395178e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.494 y[1] (analytic) = 1.7664851038883921956502037020674 y[1] (numeric) = 1.7664851038883921956502037020663 absolute error = 1.1e-30 relative error = 6.2270550574056739640202151483114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.495 y[1] (analytic) = 1.7670476899445458247586255945692 y[1] (numeric) = 1.767047689944545824758625594568 absolute error = 1.2e-30 relative error = 6.7909881936330697726397145933763e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.496 y[1] (analytic) = 1.7676102603365630986878883455301 y[1] (numeric) = 1.767610260336563098687888345529 absolute error = 1.1e-30 relative error = 6.2230912813922776816859126539217e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.098 Order of pole = 4.041e-27 TOP MAIN SOLVE Loop x[1] = 2.497 y[1] (analytic) = 1.768172815072282944799644174197 y[1] (numeric) = 1.7681728150722829447996441741959 absolute error = 1.1e-30 relative error = 6.2211113677541297061578165788199e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.498 y[1] (analytic) = 1.7687353541595384075831061036203 y[1] (numeric) = 1.7687353541595384075831061036192 absolute error = 1.1e-30 relative error = 6.2191327685802618165751839783469e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.499 y[1] (analytic) = 1.769297877606156654540127458054 y[1] (numeric) = 1.7692978776061566545401274580528 absolute error = 1.2e-30 relative error = 6.7823514354947889557350368378206e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.5 y[1] (analytic) = 1.7698603854199589820629240910936 y[1] (numeric) = 1.7698603854199589820629240910925 absolute error = 1.1e-30 relative error = 6.2151795082920506977499952962322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.501 y[1] (analytic) = 1.7704228776087608213044503790803 y[1] (numeric) = 1.7704228776087608213044503790791 absolute error = 1.2e-30 relative error = 6.7780416485624715519225291839333e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.502 y[1] (analytic) = 1.7709853541803717440414399949895 y[1] (numeric) = 1.7709853541803717440414399949883 absolute error = 1.2e-30 relative error = 6.7758888980500406227682914940785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.503 y[1] (analytic) = 1.7715478151425954685301224587645 y[1] (numeric) = 1.7715478151425954685301224587633 absolute error = 1.2e-30 relative error = 6.7737375742432871996179698361846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.504 y[1] (analytic) = 1.7721102605032298653546264408238 y[1] (numeric) = 1.7721102605032298653546264408226 absolute error = 1.2e-30 relative error = 6.7715876756970725093154837803846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.505 y[1] (analytic) = 1.7726726902700669632680807762866 y[1] (numeric) = 1.7726726902700669632680807762854 absolute error = 1.2e-30 relative error = 6.7694392009682273110252562612657e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.506 y[1] (analytic) = 1.7732351044508929550264241283103 y[1] (numeric) = 1.7732351044508929550264241283092 absolute error = 1.1e-30 relative error = 6.2033511362309194816833013735324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.507 y[1] (analytic) = 1.7737975030534882032149342198233 y[1] (numeric) = 1.7737975030534882032149342198222 absolute error = 1.1e-30 relative error = 6.2013843074331462151968717527111e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.63 Order of pole = 8.973e-27 TOP MAIN SOLVE Loop x[1] = 2.508 y[1] (analytic) = 1.7743598860856272460674875338617 y[1] (numeric) = 1.7743598860856272460674875338606 absolute error = 1.1e-30 relative error = 6.1994187798433811316803785528875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.509 y[1] (analytic) = 1.7749222535550788032785603636868 y[1] (numeric) = 1.7749222535550788032785603636857 absolute error = 1.1e-30 relative error = 6.1974545521459098771136890298978e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.51 y[1] (analytic) = 1.7754846054696057818079820748597 y[1] (numeric) = 1.7754846054696057818079820748586 absolute error = 1.1e-30 relative error = 6.1954916230268081162459260041199e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.511 y[1] (analytic) = 1.7760469418369652816784514224933 y[1] (numeric) = 1.7760469418369652816784514224922 absolute error = 1.1e-30 relative error = 6.1935299911739384743847081866870e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.512 y[1] (analytic) = 1.7766092626649086017658267479786 y[1] (numeric) = 1.7766092626649086017658267479775 absolute error = 1.1e-30 relative error = 6.1915696552769474854702648318749e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.513 y[1] (analytic) = 1.7771715679611812455822008606 y[1] (numeric) = 1.7771715679611812455822008605989 absolute error = 1.1e-30 relative error = 6.1896106140272625464193377427725e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 11.57 Order of pole = 5.825e-27 TOP MAIN SOLVE Loop x[1] = 2.514 y[1] (analytic) = 1.7777338577335229270517713906079 y[1] (numeric) = 1.7777338577335229270517713906068 absolute error = 1.1e-30 relative error = 6.1876528661180888777238250715771e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.515 y[1] (analytic) = 1.7782961319896675762795173815087 y[1] (numeric) = 1.7782961319896675762795173815077 absolute error = 1.0e-30 relative error = 5.6233603729494604457174205837893e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.516 y[1] (analytic) = 1.7788583907373433453126928705615 y[1] (numeric) = 1.7788583907373433453126928705605 absolute error = 1.0e-30 relative error = 5.6215829500936065077249815285836e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.517 y[1] (analytic) = 1.7794206339842726138951481877366 y[1] (numeric) = 1.7794206339842726138951481877356 absolute error = 1.0e-30 relative error = 5.6198066994475376358914607978836e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.518 y[1] (analytic) = 1.7799828617381719952144896846968 y[1] (numeric) = 1.7799828617381719952144896846958 absolute error = 1.0e-30 relative error = 5.6180316198296958714436868993983e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.078 Order of pole = 1.274e-27 TOP MAIN SOLVE Loop memory used=293.7MB, alloc=4.4MB, time=34.38 x[1] = 2.519 y[1] (analytic) = 1.7805450740067523416420885867008 y[1] (numeric) = 1.7805450740067523416420885866998 absolute error = 1.0e-30 relative error = 5.6162577100601257282137525516977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.52 y[1] (analytic) = 1.7811072707977187504659496417085 y[1] (numeric) = 1.7811072707977187504659496417075 absolute error = 1.0e-30 relative error = 5.6144849689604714633785064754455e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.521 y[1] (analytic) = 1.7816694521187705696164502223818 y[1] (numeric) = 1.7816694521187705696164502223809 absolute error = 9e-31 relative error = 5.0514420558185769184114266780233e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.522 y[1] (analytic) = 1.7822316179776014033849605181279 y[1] (numeric) = 1.7822316179776014033849605181269 absolute error = 1.0e-30 relative error = 5.6109429880654699778868263528801e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.34 Order of pole = 6.264e-27 TOP MAIN SOLVE Loop x[1] = 2.523 y[1] (analytic) = 1.7827937683818991181353554358192 y[1] (numeric) = 1.7827937683818991181353554358182 absolute error = 1.0e-30 relative error = 5.6091737459213855031630526891315e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.792 Order of pole = 5.742e-27 TOP MAIN SOLVE Loop x[1] = 2.524 y[1] (analytic) = 1.7833559033393458480084288093538 y[1] (numeric) = 1.7833559033393458480084288093528 absolute error = 1.0e-30 relative error = 5.6074056677497369791980302765590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.525 y[1] (analytic) = 1.7839180228576180006192204997777 y[1] (numeric) = 1.7839180228576180006192204997767 absolute error = 1.0e-30 relative error = 5.6056387523801266362172185761340e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.528 Order of pole = 6.285e-27 TOP MAIN SOLVE Loop x[1] = 2.526 y[1] (analytic) = 1.7844801269443862627472669492941 y[1] (numeric) = 1.7844801269443862627472669492931 absolute error = 1.0e-30 relative error = 5.6038729986437401891807440914656e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.502 Order of pole = 5.278e-27 TOP MAIN SOLVE Loop x[1] = 2.527 y[1] (analytic) = 1.7850422156073156060197857341183 y[1] (numeric) = 1.7850422156073156060197857341173 absolute error = 1.0e-30 relative error = 5.6021084053733441473831766020586e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.528 y[1] (analytic) = 1.7856042888540652925878046428096 y[1] (numeric) = 1.7856042888540652925878046428086 absolute error = 1.0e-30 relative error = 5.6003449714032831295518341456147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.529 y[1] (analytic) = 1.7861663466922888807952457884205 y[1] (numeric) = 1.7861663466922888807952457884195 absolute error = 1.0e-30 relative error = 5.5985826955694771844304899741010e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.53 y[1] (analytic) = 1.7867283891296342308409752445493 y[1] (numeric) = 1.7867283891296342308409752445482 absolute error = 1.1e-30 relative error = 6.1565037343803610285189295984017e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.531 y[1] (analytic) = 1.7872904161737435104338286771606 y[1] (numeric) = 1.7872904161737435104338286771596 absolute error = 1.0e-30 relative error = 5.5950616136621718191705293267947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.532 y[1] (analytic) = 1.7878524278322532004406234258606 y[1] (numeric) = 1.7878524278322532004406234258596 absolute error = 1.0e-30 relative error = 5.5933028052683656083891568415871e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.533 y[1] (analytic) = 1.7884144241127941005271674701614 y[1] (numeric) = 1.7884144241127941005271674701604 absolute error = 1.0e-30 relative error = 5.5915451503701955683885428184322e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.534 y[1] (analytic) = 1.7889764050229913347922756981644 y[1] (numeric) = 1.7889764050229913347922756981634 absolute error = 1.0e-30 relative error = 5.5897886478114188978250417984523e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.535 y[1] (analytic) = 1.7895383705704643573948038770122 y[1] (numeric) = 1.7895383705704643573948038770113 absolute error = 9e-31 relative error = 5.0292299667936170370028938893363e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.536 y[1] (analytic) = 1.7901003207628269581737107064255 y[1] (numeric) = 1.7901003207628269581737107064245 absolute error = 1.0e-30 relative error = 5.5862790950948691581594665883163e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.537 y[1] (analytic) = 1.7906622556076872682611583186322 y[1] (numeric) = 1.7906622556076872682611583186312 absolute error = 1.0e-30 relative error = 5.5845260426323972661273421131026e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.538 y[1] (analytic) = 1.7912241751126477656886615700355 y[1] (numeric) = 1.7912241751126477656886615700346 absolute error = 9e-31 relative error = 5.0244967241099242479345264623213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.539 y[1] (analytic) = 1.7917860792853052809862964520298 y[1] (numeric) = 1.7917860792853052809862964520288 absolute error = 1.0e-30 relative error = 5.5810233797489530313789401126014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.54 y[1] (analytic) = 1.7923479681332510027749779304797 y[1] (numeric) = 1.7923479681332510027749779304788 absolute error = 9e-31 relative error = 5.0213463903293250243515781957370e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.541 y[1] (analytic) = 1.792909841664070483351817505519 y[1] (numeric) = 1.7929098416640704833518175055182 absolute error = 8e-31 relative error = 4.4620202388843400091742170982662e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.542 y[1] (analytic) = 1.7934716998853436442685707654953 y[1] (numeric) = 1.7934716998853436442685707654945 absolute error = 8e-31 relative error = 4.4606223786589098150983313533801e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.543 y[1] (analytic) = 1.7940335428046447819031851911008 y[1] (numeric) = 1.7940335428046447819031851911 absolute error = 8e-31 relative error = 4.4592254320359343230062690034919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.544 y[1] (analytic) = 1.7945953704295425730244584479731 y[1] (numeric) = 1.7945953704295425730244584479723 absolute error = 8e-31 relative error = 4.4578293981028004603816904884445e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.545 y[1] (analytic) = 1.7951571827676000803498173883295 y[1] (numeric) = 1.7951571827676000803498173883287 absolute error = 8e-31 relative error = 4.4564342759481217905455486950520e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.546 y[1] (analytic) = 1.7957189798263747580962279645132 y[1] (numeric) = 1.7957189798263747580962279645124 absolute error = 8e-31 relative error = 4.4550400646617364421452460232171e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.547 y[1] (analytic) = 1.7962807616134184575242462396821 y[1] (numeric) = 1.7962807616134184575242462396814 absolute error = 7e-31 relative error = 3.8969409179178669124919174054028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.548 y[1] (analytic) = 1.7968425281362774324752206632533 y[1] (numeric) = 1.7968425281362774324752206632526 absolute error = 7e-31 relative error = 3.8957225746768950750743120454719e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.549 y[1] (analytic) = 1.7974042794024923449016557611372 y[1] (numeric) = 1.7974042794024923449016557611365 absolute error = 7e-31 relative error = 3.8945050260629158877331531040291e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.55 y[1] (analytic) = 1.7979660154195982703907473732514 y[1] (numeric) = 1.7979660154195982703907473732507 absolute error = 7e-31 relative error = 3.8932882712838056481488791131049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=297.5MB, alloc=4.4MB, time=34.83 TOP MAIN SOLVE Loop x[1] = 2.551 y[1] (analytic) = 1.7985277361951247036810995532902 y[1] (numeric) = 1.7985277361951247036810995532894 absolute error = 8e-31 relative error = 4.4480826394840035944942695210250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.552 y[1] (analytic) = 1.7990894417365955641726332282525 y[1] (numeric) = 1.7990894417365955641726332282517 absolute error = 8e-31 relative error = 4.4466938743622947075654107354437e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.553 y[1] (analytic) = 1.7996511320515292014296966977884 y[1] (numeric) = 1.7996511320515292014296966977877 absolute error = 7e-31 relative error = 3.8896427620503782255419625618086e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.554 y[1] (analytic) = 1.8002128071474384006773880360164 y[1] (numeric) = 1.8002128071474384006773880360156 absolute error = 8e-31 relative error = 4.4439190568122625746456170520425e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.555 y[1] (analytic) = 1.80077446703183038829109944109 y[1] (numeric) = 1.8007744670318303882910994410893 absolute error = 7e-31 relative error = 3.8872163772612333431870311222661e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.556 y[1] (analytic) = 1.8013361117122068372792935604582 y[1] (numeric) = 1.8013361117122068372792935604575 absolute error = 7e-31 relative error = 3.8860043689161134674886544329295e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.149 Order of pole = 2.701e-27 TOP MAIN SOLVE Loop x[1] = 2.557 y[1] (analytic) = 1.8018977411960638727595218024516 y[1] (numeric) = 1.801897741196063872759521802451 absolute error = 6e-31 relative error = 3.3298226990491254886488393684354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.558 y[1] (analytic) = 1.8024593554908920774276946275651 y[1] (numeric) = 1.8024593554908920774276946275645 absolute error = 6e-31 relative error = 3.3287851854867072578099251942198e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.559 y[1] (analytic) = 1.8030209546041764970206137955632 y[1] (numeric) = 1.8030209546041764970206137955625 absolute error = 7e-31 relative error = 3.8823730706650242502053815528270e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.56 y[1] (analytic) = 1.8035825385433966457717765273382 y[1] (numeric) = 1.8035825385433966457717765273375 absolute error = 7e-31 relative error = 3.8811642109006648555759719007062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.561 y[1] (analytic) = 1.8041441073160265118604615232792 y[1] (numeric) = 1.8041441073160265118604615232786 absolute error = 6e-31 relative error = 3.3256766882807538370475535119190e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.431 Order of pole = 2.803e-27 TOP MAIN SOLVE Loop x[1] = 2.562 y[1] (analytic) = 1.8047056609295345628541067627766 y[1] (numeric) = 1.8047056609295345628541067627759 absolute error = 7e-31 relative error = 3.8787488461661769747306337399955e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.939 Order of pole = 7.588e-27 TOP MAIN SOLVE Loop x[1] = 2.563 y[1] (analytic) = 1.805267199391383751143988992385 y[1] (numeric) = 1.8052671993913837511439889923844 absolute error = 6e-31 relative error = 3.3236077196898063970953942365403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.564 y[1] (analytic) = 1.8058287227090315193742147931031 y[1] (numeric) = 1.8058287227090315193742147931024 absolute error = 7e-31 relative error = 3.8763366159659272268324107768698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.565 y[1] (analytic) = 1.8063902308899298058640331001899 y[1] (numeric) = 1.8063902308899298058640331001893 absolute error = 6e-31 relative error = 3.3215414351770831241838130021225e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.566 y[1] (analytic) = 1.8069517239415250500234790319436 y[1] (numeric) = 1.806951723941525050023479031943 absolute error = 6e-31 relative error = 3.3205092977869543874347939826785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.567 y[1] (analytic) = 1.8075132018712581977623588668957 y[1] (numeric) = 1.8075132018712581977623588668951 absolute error = 6e-31 relative error = 3.3194778294224351442649863380635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.568 y[1] (analytic) = 1.8080746646865647068925859919456 y[1] (numeric) = 1.808074664686564706892585991945 absolute error = 6e-31 relative error = 3.3184470294207227428453080775410e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.569 y[1] (analytic) = 1.8086361123948745525238776270569 y[1] (numeric) = 1.8086361123948745525238776270563 absolute error = 6e-31 relative error = 3.3174168971198980943573184928663e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.57 y[1] (analytic) = 1.8091975450036122324528221152715 y[1] (numeric) = 1.8091975450036122324528221152709 absolute error = 6e-31 relative error = 3.3163874318589241937604485322179e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.571 y[1] (analytic) = 1.8097589625201967725453265499644 y[1] (numeric) = 1.8097589625201967725453265499638 absolute error = 6e-31 relative error = 3.3153586329776446435383053088878e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.313 Order of pole = 5.12e-28 TOP MAIN SOLVE Loop x[1] = 2.572 y[1] (analytic) = 1.8103203649520417321124544944598 y[1] (numeric) = 1.8103203649520417321124544944593 absolute error = 5e-31 relative error = 2.7619420831806518170142018987693e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.573 y[1] (analytic) = 1.8108817523065552092796635323641 y[1] (numeric) = 1.8108817523065552092796635323636 absolute error = 5e-31 relative error = 2.7610858597649476708740045612756e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.724 Order of pole = 5.924e-27 TOP MAIN SOLVE Loop x[1] = 2.574 y[1] (analytic) = 1.8114431245911398463494523702332 y[1] (numeric) = 1.8114431245911398463494523702327 absolute error = 5e-31 relative error = 2.7602301900196552622110708174969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.575 y[1] (analytic) = 1.8120044818131928351574271974946 y[1] (numeric) = 1.812004481813192835157427197494 absolute error = 6e-31 relative error = 3.3112500880770808386104195913169e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.065 Order of pole = 4.898e-27 TOP MAIN SOLVE Loop x[1] = 2.576 y[1] (analytic) = 1.81256582398010592242179699187 y[1] (numeric) = 1.8125658239801059224217969918695 absolute error = 5e-31 relative error = 2.7585205093522044808311010240901e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.577 y[1] (analytic) = 1.8131271510992654150863074419143 y[1] (numeric) = 1.8131271510992654150863074419138 absolute error = 5e-31 relative error = 2.7576664973378136183854203366570e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.578 y[1] (analytic) = 1.8136884631780521856566231416761 y[1] (numeric) = 1.8136884631780521856566231416756 absolute error = 5e-31 relative error = 2.7568130368093670855254370798254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.579 y[1] (analytic) = 1.814249760223841677530167695921 y[1] (numeric) = 1.8142497602238416775301676959205 absolute error = 5e-31 relative error = 2.7559601272225612761917893272877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.58 y[1] (analytic) = 1.8148110422440039103194313578149 y[1] (numeric) = 1.8148110422440039103194313578144 absolute error = 5e-31 relative error = 2.7551077680338154627826582287200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.581 y[1] (analytic) = 1.8153723092459034851687558044606 y[1] (numeric) = 1.8153723092459034851687558044601 absolute error = 5e-31 relative error = 2.7542559587002705904493284365530e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=301.3MB, alloc=4.4MB, time=35.28 x[1] = 2.582 y[1] (analytic) = 1.815933561236899590064605639208 y[1] (numeric) = 1.8159335612368995900646056392075 absolute error = 5e-31 relative error = 2.7534046986797880738109224214458e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.583 y[1] (analytic) = 1.8164947982243460051393361932147 y[1] (numeric) = 1.8164947982243460051393361932142 absolute error = 5e-31 relative error = 2.7525539874309485960826385338660e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.584 y[1] (analytic) = 1.8170560202155911079684671823261 y[1] (numeric) = 1.8170560202155911079684671823256 absolute error = 5e-31 relative error = 2.7517038244130509106118378670068e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.298 Order of pole = 7.23e-28 TOP MAIN SOLVE Loop x[1] = 2.585 y[1] (analytic) = 1.8176172272179778788614717589662 y[1] (numeric) = 1.8176172272179778788614717589657 absolute error = 5e-31 relative error = 2.7508542090861106448163401282556e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.586 y[1] (analytic) = 1.8181784192388439061460904823854 y[1] (numeric) = 1.8181784192388439061460904823849 absolute error = 5e-31 relative error = 2.7500051409108591065193038327364e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.155 Order of pole = 3.360e-27 TOP MAIN SOLVE Loop x[1] = 2.587 y[1] (analytic) = 1.8187395962855213914461797142986 y[1] (numeric) = 1.8187395962855213914461797142981 absolute error = 5e-31 relative error = 2.7491566193487420926750811932155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.588 y[1] (analytic) = 1.8193007583653371549531039306653 y[1] (numeric) = 1.8193007583653371549531039306648 absolute error = 5e-31 relative error = 2.7483086438619187004804530960575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.589 y[1] (analytic) = 1.8198619054856126406906814241154 y[1] (numeric) = 1.8198619054856126406906814241149 absolute error = 5e-31 relative error = 2.7474612139132601408656645230782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.59 y[1] (analytic) = 1.8204230376536639217736928553044 y[1] (numeric) = 1.8204230376536639217736928553039 absolute error = 5e-31 relative error = 2.7466143289663485543596957042390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.591 y[1] (analytic) = 1.8209841548768017056599620952992 y[1] (numeric) = 1.8209841548768017056599620952986 absolute error = 6e-31 relative error = 3.2949215861825709951890629995406e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.592 y[1] (analytic) = 1.8215452571623313393960187849378 y[1] (numeric) = 1.8215452571623313393960187849373 absolute error = 5e-31 relative error = 2.7449221919356424225507076778181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.593 y[1] (analytic) = 1.8221063445175528148563520209884 y[1] (numeric) = 1.8221063445175528148563520209878 absolute error = 6e-31 relative error = 3.2928923265390674186582074585043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.594 y[1] (analytic) = 1.8226674169497607739762645628358 y[1] (numeric) = 1.8226674169497607739762645628352 absolute error = 6e-31 relative error = 3.2918786741911574078220349860112e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.595 y[1] (analytic) = 1.8232284744662445139783369373712 y[1] (numeric) = 1.8232284744662445139783369373706 absolute error = 6e-31 relative error = 3.2908656726395838056071103135710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.596 y[1] (analytic) = 1.8237895170742879925925108037258 y[1] (numeric) = 1.8237895170742879925925108037252 absolute error = 6e-31 relative error = 3.2898533212457341922756812472559e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.256 Order of pole = 3.566e-27 TOP MAIN SOLVE Loop x[1] = 2.597 y[1] (analytic) = 1.8243505447811698332698009234972 y[1] (numeric) = 1.8243505447811698332698009234967 absolute error = 5e-31 relative error = 2.7407013494765328300782409592605e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.598 y[1] (analytic) = 1.824911557594163330389645066149 y[1] (numeric) = 1.8249115575941633303896450661484 absolute error = 6e-31 relative error = 3.2878305663809720949244931615710e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.599 y[1] (analytic) = 1.8254725555205364544609011633292 y[1] (numeric) = 1.8254725555205364544609011633286 absolute error = 6e-31 relative error = 3.2868201616370454206093754751447e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.6 y[1] (analytic) = 1.8260335385675518573165010099528 y[1] (numeric) = 1.8260335385675518573165010099523 absolute error = 5e-31 relative error = 2.7381753370873429717794385140996e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.601 y[1] (analytic) = 1.8265945067424668773017697940172 y[1] (numeric) = 1.8265945067424668773017697940166 absolute error = 6e-31 relative error = 3.2848012943498603955766237242404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.602 y[1] (analytic) = 1.8271554600525335444564207212797 y[1] (numeric) = 1.8271554600525335444564207212792 absolute error = 5e-31 relative error = 2.7364940254488483806732861291242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.603 y[1] (analytic) = 1.827716398504998585690233985118 y[1] (numeric) = 1.8277163985049985856902339851174 absolute error = 6e-31 relative error = 3.2827850124383455969811451526751e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.604 y[1] (analytic) = 1.8282773221071034299524293161088 y[1] (numeric) = 1.8282773221071034299524293161082 absolute error = 6e-31 relative error = 3.2817778394171375807595078732365e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.605 y[1] (analytic) = 1.8288382308660842133947413301182 y[1] (numeric) = 1.8288382308660842133947413301177 absolute error = 5e-31 relative error = 2.7339760923699339260858283302348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.606 y[1] (analytic) = 1.8293991247891717845282068779732 y[1] (numeric) = 1.8293991247891717845282068779726 absolute error = 6e-31 relative error = 3.2797654260884524539981474151403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.607 y[1] (analytic) = 1.8299600038835917093736735840976 y[1] (numeric) = 1.829960003883591709373673584097 absolute error = 6e-31 relative error = 3.2787601845213196629262425155601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.608 y[1] (analytic) = 1.830520868156564276606038745842 y[1] (numeric) = 1.8305208681565642766060387458414 absolute error = 6e-31 relative error = 3.2777555855139372100633203207905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.609 y[1] (analytic) = 1.8310817176153045026922277496045 y[1] (numeric) = 1.8310817176153045026922277496038 absolute error = 7e-31 relative error = 3.8228768998449710534067250125814e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.61 y[1] (analytic) = 1.831642552267022137022921144248 y[1] (numeric) = 1.8316425522670221370229211442473 absolute error = 7e-31 relative error = 3.8217063647795838057175994868272e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.611 y[1] (analytic) = 1.8322033721189216670380394967518 y[1] (numeric) = 1.8322033721189216670380394967512 absolute error = 6e-31 relative error = 3.2747456375768321583756017686792e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.612 y[1] (analytic) = 1.8327641771782023233459951394998 y[1] (numeric) = 1.8327641771782023233459951394991 absolute error = 7e-31 relative error = 3.8193675362956310288685051772393e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.613 y[1] (analytic) = 1.8333249674520580848367199031009 y[1] (numeric) = 1.8333249674520580848367199031002 absolute error = 7e-31 relative error = 3.8181992414190212484021118521057e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=305.1MB, alloc=4.4MB, time=35.73 TOP MAIN SOLVE Loop x[1] = 2.614 y[1] (analytic) = 1.8338857429476776837884779131666 y[1] (numeric) = 1.833885742947677683788477913166 absolute error = 6e-31 relative error = 3.2717414501276184961954421357840e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.615 y[1] (analytic) = 1.8344465036722446109684725140192 y[1] (numeric) = 1.8344465036722446109684725140185 absolute error = 7e-31 relative error = 3.8158648867586003371681372450237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.616 y[1] (analytic) = 1.8350072496329371207272563668934 y[1] (numeric) = 1.8350072496329371207272563668927 absolute error = 7e-31 relative error = 3.8146988255224791806433651442767e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.617 y[1] (analytic) = 1.8355679808369282360869537548092 y[1] (numeric) = 1.8355679808369282360869537548085 absolute error = 7e-31 relative error = 3.8135335073824648697608571498733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.618 y[1] (analytic) = 1.8361286972913857538233041109346 y[1] (numeric) = 1.8361286972913857538233041109339 absolute error = 7e-31 relative error = 3.8123689316147810335153661120636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.619 y[1] (analytic) = 1.8366893990034722495415357719358 y[1] (numeric) = 1.8366893990034722495415357719352 absolute error = 6e-31 relative error = 3.2667472264256570897977564129307e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.62 y[1] (analytic) = 1.8372500859803450827460789425148 y[1] (numeric) = 1.8372500859803450827460789425142 absolute error = 6e-31 relative error = 3.2657502894051779359722003130009e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.621 y[1] (analytic) = 1.8378107582291564019041268420672 y[1] (numeric) = 1.8378107582291564019041268420666 absolute error = 6e-31 relative error = 3.2647539868475733034488293347683e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.622 y[1] (analytic) = 1.8383714157570531495030539891602 y[1] (numeric) = 1.8383714157570531495030539891596 absolute error = 6e-31 relative error = 3.2637583181357078955878847184469e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.623 y[1] (analytic) = 1.8389320585711770671017005643196 y[1] (numeric) = 1.838932058571177067101700564319 absolute error = 6e-31 relative error = 3.2627632826532541951949577811406e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.624 y[1] (analytic) = 1.8394926866786647003755317764414 y[1] (numeric) = 1.8394926866786647003755317764408 absolute error = 6e-31 relative error = 3.2617688797846911365793213398153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.625 y[1] (analytic) = 1.8400533000866474041556811429928 y[1] (numeric) = 1.8400533000866474041556811429922 absolute error = 6e-31 relative error = 3.2607751089153027802385020924231e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.626 y[1] (analytic) = 1.8406138988022513474618865790508 y[1] (numeric) = 1.8406138988022513474618865790501 absolute error = 7e-31 relative error = 3.8030789643363731551901976035479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.627 y[1] (analytic) = 1.8411744828325975185293281751359 y[1] (numeric) = 1.8411744828325975185293281751352 absolute error = 7e-31 relative error = 3.8019210375057381327145036953376e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.628 y[1] (analytic) = 1.8417350521848017298293765287411 y[1] (numeric) = 1.8417350521848017298293765287404 absolute error = 7e-31 relative error = 3.8007638458615882750825902546993e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.629 y[1] (analytic) = 1.8422956068659746230842604794215 y[1] (numeric) = 1.8422956068659746230842604794208 absolute error = 7e-31 relative error = 3.7996073886904968407716952425090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.63 y[1] (analytic) = 1.8428561468832216742756630823131 y[1] (numeric) = 1.8428561468832216742756630823124 absolute error = 7e-31 relative error = 3.7984516652799687168508080918688e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.631 y[1] (analytic) = 1.8434166722436431986472546399727 y[1] (numeric) = 1.843416672243643198647254639972 absolute error = 7e-31 relative error = 3.7972966749184388910150245550300e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.632 y[1] (analytic) = 1.8439771829543343557011715974902 y[1] (numeric) = 1.8439771829543343557011715974894 absolute error = 8e-31 relative error = 4.3384484764517382018682164395832e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.633 y[1] (analytic) = 1.8445376790223851541884500909074 y[1] (numeric) = 1.8445376790223851541884500909066 absolute error = 8e-31 relative error = 4.3371301605722919323570033420413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.634 y[1] (analytic) = 1.845098160454880457093422924095 y[1] (numeric) = 1.8450981604548804570934229240943 absolute error = 7e-31 relative error = 3.7938360950261085854407860003441e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.635 y[1] (analytic) = 1.8456586272588999866120887343786 y[1] (numeric) = 1.8456586272588999866120887343779 absolute error = 7e-31 relative error = 3.7926840297634705312546157694583e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.636 y[1] (analytic) = 1.8462190794415183291244620923792 y[1] (numeric) = 1.8462190794415183291244620923785 absolute error = 7e-31 relative error = 3.7915326940059039548695633847316e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 11.16 Order of pole = 6.973e-26 TOP MAIN SOLVE Loop x[1] = 2.637 y[1] (analytic) = 1.8467795170098049401609132667334 y[1] (numeric) = 1.8467795170098049401609132667327 absolute error = 7e-31 relative error = 3.7903820870473925288015324978851e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.638 y[1] (analytic) = 1.8473399399708241493625063695871 y[1] (numeric) = 1.8473399399708241493625063695864 absolute error = 7e-31 relative error = 3.7892322081828394144592157154369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.639 y[1] (analytic) = 1.8479003483316351654353445840146 y[1] (numeric) = 1.8479003483316351654353445840139 absolute error = 7e-31 relative error = 3.7880830567080657581032041739435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.64 y[1] (analytic) = 1.8484607420992920810989311598007 y[1] (numeric) = 1.8484607420992920810989311598 absolute error = 7e-31 relative error = 3.7869346319198091897648033929411e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.984 Order of pole = 1.360e-26 TOP MAIN SOLVE Loop x[1] = 2.641 y[1] (analytic) = 1.8490211212808438780285548493389 y[1] (numeric) = 1.8490211212808438780285548493382 absolute error = 7e-31 relative error = 3.7857869331157223251177515045478e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.642 y[1] (analytic) = 1.8495814858833344317917084407401 y[1] (numeric) = 1.8495814858833344317917084407394 absolute error = 7e-31 relative error = 3.7846399595943712702960538459203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.643 y[1] (analytic) = 1.8501418359138025167785490306197 y[1] (numeric) = 1.8501418359138025167785490306191 absolute error = 6e-31 relative error = 3.2429946091330578254152849157733e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.543 Order of pole = 2.998e-27 TOP MAIN SOLVE Loop x[1] = 2.644 y[1] (analytic) = 1.8507021713792818111264086644281 y[1] (numeric) = 1.8507021713792818111264086644275 absolute error = 6e-31 relative error = 3.2420127305131710140929483132373e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.645 memory used=309.0MB, alloc=4.4MB, time=36.18 y[1] (analytic) = 1.8512624922868009016383639576185 y[1] (numeric) = 1.8512624922868009016383639576179 absolute error = 6e-31 relative error = 3.2410314717651986283852324146008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.646 y[1] (analytic) = 1.8518227986433832886958732964022 y[1] (numeric) = 1.8518227986433832886958732964016 absolute error = 6e-31 relative error = 3.2400508322910308181543378785692e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.647 y[1] (analytic) = 1.8523830904560473911654902023244 y[1] (numeric) = 1.8523830904560473911654902023238 absolute error = 6e-31 relative error = 3.2390708114933343548381115753158e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.648 y[1] (analytic) = 1.852943367731806551299661430405 y[1] (numeric) = 1.8529433677318065512996614304045 absolute error = 5e-31 relative error = 2.6984095073129594707462446688639e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.22 Order of pole = 5.109e-27 TOP MAIN SOLVE Loop x[1] = 2.649 y[1] (analytic) = 1.8535036304776690396316183561312 y[1] (numeric) = 1.8535036304776690396316183561306 absolute error = 6e-31 relative error = 3.2371126235418980657369163182110e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.65 y[1] (analytic) = 1.8540638787006380598643701921518 y[1] (numeric) = 1.8540638787006380598643701921512 absolute error = 6e-31 relative error = 3.2361344551973635041339598395855e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.651 y[1] (analytic) = 1.8546241124077117537538075611246 y[1] (numeric) = 1.8546241124077117537538075611241 absolute error = 5e-31 relative error = 2.6959640859564235809188194937577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.652 y[1] (analytic) = 1.8551843316058832059859249367858 y[1] (numeric) = 1.8551843316058832059859249367853 absolute error = 5e-31 relative error = 2.6951499723328861460452223110295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.653 y[1] (analytic) = 1.8557445363021404490481704509642 y[1] (numeric) = 1.8557445363021404490481704509637 absolute error = 5e-31 relative error = 2.6943363712999406071745091929077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.654 y[1] (analytic) = 1.8563047265034664680949315499423 y[1] (numeric) = 1.8563047265034664680949315499418 absolute error = 5e-31 relative error = 2.6935232823643101290561352317900e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.655 y[1] (analytic) = 1.8568649022168392058071649692696 y[1] (numeric) = 1.8568649022168392058071649692691 absolute error = 5e-31 relative error = 2.6927107050333566751061977295149e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.656 y[1] (analytic) = 1.8574250634492315672461794818699 y[1] (numeric) = 1.8574250634492315672461794818694 absolute error = 5e-31 relative error = 2.6918986388150799683794534813084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.657 y[1] (analytic) = 1.8579852102076114247015798600443 y[1] (numeric) = 1.8579852102076114247015798600438 absolute error = 5e-31 relative error = 2.6910870832181164545745053810502e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.402 Order of pole = 5.22e-28 TOP MAIN SOLVE Loop x[1] = 2.658 y[1] (analytic) = 1.8585453424989416225333804777598 y[1] (numeric) = 1.8585453424989416225333804777593 absolute error = 5e-31 relative error = 2.6902760377517382670675105635320e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.659 y[1] (analytic) = 1.8591054603301799820082969654298 y[1] (numeric) = 1.8591054603301799820082969654293 absolute error = 5e-31 relative error = 2.6894655019258521939697744500015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.66 y[1] (analytic) = 1.8596655637082793061302243152364 y[1] (numeric) = 1.8596655637082793061302243152359 absolute error = 5e-31 relative error = 2.6886554752509986472046071781670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.661 y[1] (analytic) = 1.8602256526401873844649098209135 y[1] (numeric) = 1.860225652640187384464909820913 absolute error = 5e-31 relative error = 2.6878459572383506335988309770813e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.662 y[1] (analytic) = 1.8607857271328469979588292218081 y[1] (numeric) = 1.8607857271328469979588292218076 absolute error = 5e-31 relative error = 2.6870369473997127279843390910638e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.663 y[1] (analytic) = 1.8613457871931959237522744069621 y[1] (numeric) = 1.8613457871931959237522744069616 absolute error = 5e-31 relative error = 2.6862284452475200483051188651566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.664 y[1] (analytic) = 1.8619058328281669399866610209074 y[1] (numeric) = 1.861905832828166939986661020907 absolute error = 4e-31 relative error = 2.1483363602358697861801308621358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.665 y[1] (analytic) = 1.8624658640446878306060642988477 y[1] (numeric) = 1.8624658640446878306060642988472 absolute error = 5e-31 relative error = 2.6846129620553574187327095432644e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.666 y[1] (analytic) = 1.8630258808496813901529914449026 y[1] (numeric) = 1.8630258808496813901529914449021 absolute error = 5e-31 relative error = 2.6838059800434012242362469128653e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.667 y[1] (analytic) = 1.8635858832500654285583988531272 y[1] (numeric) = 1.8635858832500654285583988531267 absolute error = 5e-31 relative error = 2.6829995037739157306477644645967e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.668 y[1] (analytic) = 1.8641458712527527759259624570744 y[1] (numeric) = 1.8641458712527527759259624570739 absolute error = 5e-31 relative error = 2.6821935327624734679487005130224e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.669 y[1] (analytic) = 1.864705844864651287310609479756 y[1] (numeric) = 1.8647058448646512873106094797555 absolute error = 5e-31 relative error = 2.6813880665252714017340838623440e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.806 Order of pole = 2.450e-27 TOP MAIN SOLVE Loop x[1] = 2.67 y[1] (analytic) = 1.8652658040926638474913198419719 y[1] (numeric) = 1.8652658040926638474913198419714 absolute error = 5e-31 relative error = 2.6805831045791299222303604929858e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.867 Order of pole = 4.492e-27 TOP MAIN SOLVE Loop x[1] = 2.671 y[1] (analytic) = 1.8658257489436883757382054731137 y[1] (numeric) = 1.8658257489436883757382054731132 absolute error = 5e-31 relative error = 2.6797786464414918352824134002948e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.672 y[1] (analytic) = 1.8663856794246178305738757547172 y[1] (numeric) = 1.8663856794246178305738757547167 absolute error = 5e-31 relative error = 2.6789746916304213553052946990047e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.673 y[1] (analytic) = 1.866945595542340214529097313229 y[1] (numeric) = 1.8669455955423402145290973132286 absolute error = 4e-31 relative error = 2.1425369917316824801569606142233e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.674 y[1] (analytic) = 1.8675054973037385788927563646739 y[1] (numeric) = 1.8675054973037385788927563646734 absolute error = 5e-31 relative error = 2.6773682900633410882022328346648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.675 y[1] (analytic) = 1.8680653847156910284561318001506 y[1] (numeric) = 1.8680653847156910284561318001501 absolute error = 5e-31 relative error = 2.6765658423465577367394969967713e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.676 y[1] (analytic) = 1.8686252577850707262514871873612 y[1] (numeric) = 1.8686252577850707262514871873607 absolute error = 5e-31 relative error = 2.6757638960347928631591092260419e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=312.8MB, alloc=4.4MB, time=36.63 TOP MAIN SOLVE Loop x[1] = 2.677 y[1] (analytic) = 1.8691851165187458982849898496717 y[1] (numeric) = 1.8691851165187458982849898496712 absolute error = 5e-31 relative error = 2.6749624506492026874556824377280e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.678 y[1] (analytic) = 1.8697449609235798382639651705291 y[1] (numeric) = 1.8697449609235798382639651705286 absolute error = 5e-31 relative error = 2.6741615057115588369138841892095e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.679 y[1] (analytic) = 1.8703047910064309123184942574098 y[1] (numeric) = 1.8703047910064309123184942574093 absolute error = 5e-31 relative error = 2.6733610607442473526886650342429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.68 y[1] (analytic) = 1.8708646067741525637173630858502 y[1] (numeric) = 1.8708646067741525637173630858496 absolute error = 6e-31 relative error = 3.2070733383243212379777227780084e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.681 y[1] (analytic) = 1.8714244082335933175783712305132 y[1] (numeric) = 1.8714244082335933175783712305126 absolute error = 6e-31 relative error = 3.2061140025758781241693786778654e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.569 Order of pole = 5.377e-27 TOP MAIN SOLVE Loop x[1] = 2.682 y[1] (analytic) = 1.8719841953915967855730082766741 y[1] (numeric) = 1.8719841953915967855730082766735 absolute error = 6e-31 relative error = 3.2051552650768354916231052626980e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.683 y[1] (analytic) = 1.8725439682550016706255059919618 y[1] (numeric) = 1.8725439682550016706255059919612 absolute error = 6e-31 relative error = 3.2041971252569939014890051834903e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.684 y[1] (analytic) = 1.8731037268306417716062743246732 y[1] (numeric) = 1.8731037268306417716062743246726 absolute error = 6e-31 relative error = 3.2032395825468852856651210361781e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.685 y[1] (analytic) = 1.8736634711253459880197292814853 y[1] (numeric) = 1.8736634711253459880197292814847 absolute error = 6e-31 relative error = 3.2022826363777717685060236310224e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.686 y[1] (analytic) = 1.8742232011459383246865207239205 y[1] (numeric) = 1.8742232011459383246865207239199 absolute error = 6e-31 relative error = 3.2013262861816444908152268700634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.687 y[1] (analytic) = 1.8747829168992378964201681094789 y[1] (numeric) = 1.8747829168992378964201681094783 absolute error = 6e-31 relative error = 3.2003705313912224361162578184450e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.688 y[1] (analytic) = 1.8753426183920589326981121899356 y[1] (numeric) = 1.8753426183920589326981121899351 absolute error = 5e-31 relative error = 2.6661794761999593826643532894414e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.689 y[1] (analytic) = 1.8759023056312107823271906659094 y[1] (numeric) = 1.8759023056312107823271906659089 absolute error = 5e-31 relative error = 2.6653840048016684307697773991881e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.69 y[1] (analytic) = 1.8764619786234979181035457834437 y[1] (numeric) = 1.8764619786234979181035457834432 absolute error = 5e-31 relative error = 2.6645890281602254177625277324634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.691 y[1] (analytic) = 1.8770216373757199414669718450022 y[1] (numeric) = 1.8770216373757199414669718450017 absolute error = 5e-31 relative error = 2.6637945458053125623985490119353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.692 y[1] (analytic) = 1.8775812818946715871497105939664 y[1] (numeric) = 1.8775812818946715871497105939658 absolute error = 6e-31 relative error = 3.1956006687206565081956703359023e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.693 y[1] (analytic) = 1.8781409121871427278197024184324 y[1] (numeric) = 1.8781409121871427278197024184319 absolute error = 5e-31 relative error = 2.6622070620768135997998371978974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.694 y[1] (analytic) = 1.8787005282599183787183013068443 y[1] (numeric) = 1.8787005282599183787183013068438 absolute error = 5e-31 relative error = 2.6614140597655964317095427558660e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.695 y[1] (analytic) = 1.8792601301197787022924614747577 y[1] (numeric) = 1.8792601301197787022924614747572 absolute error = 5e-31 relative error = 2.6606215498656453715461602544391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.696 y[1] (analytic) = 1.8798197177734990128214035688202 y[1] (numeric) = 1.8798197177734990128214035688197 absolute error = 5e-31 relative error = 2.6598295319096413556740433253727e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.697 y[1] (analytic) = 1.8803792912278497810377683408625 y[1] (numeric) = 1.880379291227849781037768340862 absolute error = 5e-31 relative error = 2.6590380054308621784813486271459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.698 y[1] (analytic) = 1.8809388504895966387432656718347 y[1] (numeric) = 1.8809388504895966387432656718342 absolute error = 5e-31 relative error = 2.6582469699631815348790076916681e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.699 y[1] (analytic) = 1.8814983955655003834188268121828 y[1] (numeric) = 1.8814983955655003834188268121824 absolute error = 4e-31 relative error = 2.1259651400328544517181801648884e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.7 y[1] (analytic) = 1.8820579264623169828292676921494 y[1] (numeric) = 1.882057926462316982829267692149 absolute error = 4e-31 relative error = 2.1253330961596675189030694323253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.701 y[1] (analytic) = 1.8826174431867975796224711423926 y[1] (numeric) = 1.8826174431867975796224711423921 absolute error = 5e-31 relative error = 2.6558768049743862067548700762361e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.262 Order of pole = 1.167e-26 TOP MAIN SOLVE Loop x[1] = 2.702 y[1] (analytic) = 1.8831769457456884959230958522577 y[1] (numeric) = 1.8831769457456884959230958522572 absolute error = 5e-31 relative error = 2.6550877289017212479156636073849e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.703 y[1] (analytic) = 1.8837364341457312379208198799961 y[1] (numeric) = 1.8837364341457312379208198799956 absolute error = 5e-31 relative error = 2.6542991415184284216559087643836e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.704 y[1] (analytic) = 1.884295908393662500453126516213 y[1] (numeric) = 1.8842959083936625004531265162125 absolute error = 5e-31 relative error = 2.6535110423619368216999905683441e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.705 y[1] (analytic) = 1.8848553684962141715826402888388 y[1] (numeric) = 1.8848553684962141715826402888382 absolute error = 6e-31 relative error = 3.1832681171643177495600166080677e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.706 y[1] (analytic) = 1.8854148144601133371690208849534 y[1] (numeric) = 1.8854148144601133371690208849529 absolute error = 5e-31 relative error = 2.6519363068820189804029117807707e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.086 Order of pole = 1.516e-27 TOP MAIN SOLVE Loop x[1] = 2.707 y[1] (analytic) = 1.8859742462920822854354227518568 y[1] (numeric) = 1.8859742462920822854354227518563 absolute error = 5e-31 relative error = 2.6511496696363934046325446007594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.708 y[1] (analytic) = 1.8865336639988385115295281268607 y[1] (numeric) = 1.8865336639988385115295281268602 memory used=316.6MB, alloc=4.4MB, time=37.08 absolute error = 5e-31 relative error = 2.6503635187731685060827063508574e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.709 y[1] (analytic) = 1.8870930675870947220791612323908 y[1] (numeric) = 1.8870930675870947220791612323903 absolute error = 5e-31 relative error = 2.6495778538327102159169686107775e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.71 y[1] (analytic) = 1.8876524570635588397424913601216 y[1] (numeric) = 1.8876524570635588397424913601211 absolute error = 5e-31 relative error = 2.6487926743559690187713001562259e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.711 y[1] (analytic) = 1.8882118324349340077528325550243 y[1] (numeric) = 1.8882118324349340077528325550237 absolute error = 6e-31 relative error = 3.1776095758613748227464945977251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.712 y[1] (analytic) = 1.8887711937079185944580475973942 y[1] (numeric) = 1.8887711937079185944580475973936 absolute error = 6e-31 relative error = 3.1766685239524284101385467137919e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.713 y[1] (analytic) = 1.8893305408892061978545639681307 y[1] (numeric) = 1.8893305408892061978545639681301 absolute error = 6e-31 relative error = 3.1757280529515618440248492997049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.714 y[1] (analytic) = 1.8898898739854856501160094697739 y[1] (numeric) = 1.8898898739854856501160094697733 absolute error = 6e-31 relative error = 3.1747881623107103785642744640839e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.715 y[1] (analytic) = 1.8904491930034410221164751630618 y[1] (numeric) = 1.8904491930034410221164751630612 absolute error = 6e-31 relative error = 3.1738488514825051507785744573835e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.716 y[1] (analytic) = 1.8910084979497516279484132660488 y[1] (numeric) = 1.8910084979497516279484132660482 absolute error = 6e-31 relative error = 3.1729101199202720707138770941461e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.67 Order of pole = 1.109e-26 TOP MAIN SOLVE Loop x[1] = 2.717 y[1] (analytic) = 1.8915677888310920294351776501342 y[1] (numeric) = 1.8915677888310920294351776501337 absolute error = 5e-31 relative error = 2.6433099725650255947764580571104e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.718 y[1] (analytic) = 1.8921270656541320406382145546763 y[1] (numeric) = 1.8921270656541320406382145546757 absolute error = 6e-31 relative error = 3.1710343924104932149250575057439e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.719 y[1] (analytic) = 1.8926863284255367323589111292206 y[1] (numeric) = 1.89268632842553673235891112922 absolute error = 6e-31 relative error = 3.1700973953730631656538555308598e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.72 y[1] (analytic) = 1.8932455771519664366351093997505 y[1] (numeric) = 1.8932455771519664366351093997499 absolute error = 6e-31 relative error = 3.1691609754218345121965634402149e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.721 y[1] (analytic) = 1.8938048118400767512322932427642 y[1] (numeric) = 1.8938048118400767512322932427637 absolute error = 5e-31 relative error = 2.6401876100113253804264060240431e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.722 y[1] (analytic) = 1.8943640324965185441294559384124 y[1] (numeric) = 1.8943640324965185441294559384118 absolute error = 6e-31 relative error = 3.1672898646058023591053619608940e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.723 y[1] (analytic) = 1.894923239127937957999655861374 y[1] (numeric) = 1.8949232391279379579996558613734 absolute error = 6e-31 relative error = 3.1663551726566286440000027680493e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.724 y[1] (analytic) = 1.895482431740976414685267855625 y[1] (numeric) = 1.8954824317409764146852678556244 absolute error = 6e-31 relative error = 3.1654210556249137057993631249221e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.725 y[1] (analytic) = 1.896041610342270619667937826747 y[1] (numeric) = 1.8960416103422706196679378267464 absolute error = 6e-31 relative error = 3.1644875129701868188453114785740e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.726 y[1] (analytic) = 1.8966007749384525665332480729442 y[1] (numeric) = 1.8966007749384525665332480729436 absolute error = 6e-31 relative error = 3.1635545441526610484616493038612e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.727 y[1] (analytic) = 1.8971599255361495414301008634801 y[1] (numeric) = 1.8971599255361495414301008634795 absolute error = 6e-31 relative error = 3.1626221486332321642803056156619e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.728 y[1] (analytic) = 1.8977190621419841275248277608123 y[1] (numeric) = 1.8977190621419841275248277608117 absolute error = 6e-31 relative error = 3.1616903258734775556452548942661e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.729 y[1] (analytic) = 1.8982781847625742094500321702943 y[1] (numeric) = 1.8982781847625742094500321702938 absolute error = 5e-31 relative error = 2.6339658961130459575745977258795e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.73 y[1] (analytic) = 1.8988372934045329777481725889267 y[1] (numeric) = 1.8988372934045329777481725889261 absolute error = 6e-31 relative error = 3.1598283964827023278806116782630e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.731 y[1] (analytic) = 1.8993963880744689333098940122769 y[1] (numeric) = 1.8993963880744689333098940122763 absolute error = 6e-31 relative error = 3.1588982887782348536298444891760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.732 y[1] (analytic) = 1.89995546877898589180711494635 y[1] (numeric) = 1.8999554687789858918071149463494 absolute error = 6e-31 relative error = 3.1579687516865457899608279637334e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.733 y[1] (analytic) = 1.900514535524682988120877458873 y[1] (numeric) = 1.9005145355246829881208774588724 absolute error = 6e-31 relative error = 3.1570397846726044282326345692066e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.734 y[1] (analytic) = 1.9010735883181546807639676921659 y[1] (numeric) = 1.9010735883181546807639676921653 absolute error = 6e-31 relative error = 3.1561113872020552153130049666076e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.15 Order of pole = 7.426e-27 TOP MAIN SOLVE Loop x[1] = 2.735 y[1] (analytic) = 1.9016326271659907562983142475012 y[1] (numeric) = 1.9016326271659907562983142475005 absolute error = 7e-31 relative error = 3.6810474851980861306298789975802e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.736 y[1] (analytic) = 1.902191652074776333747171838608 y[1] (numeric) = 1.9021916520747763337471718386073 absolute error = 7e-31 relative error = 3.6799656818832604455112804402391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.737 y[1] (analytic) = 1.902750663051091869002097599754 y[1] (numeric) = 1.9027506630510918690020975997533 absolute error = 7e-31 relative error = 3.6788845411701947797185923115884e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.738 y[1] (analytic) = 1.9033096601015131592247274216373 y[1] (numeric) = 1.9033096601015131592247274216366 absolute error = 7e-31 relative error = 3.6778040624386125853069645895925e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.739 y[1] (analytic) = 1.903868643232611347243359676144 y[1] (numeric) = 1.9038686432326113472433596761433 absolute error = 7e-31 relative error = 3.6767242450690187767918246095150e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=320.4MB, alloc=4.4MB, time=37.53 x[1] = 2.74 y[1] (analytic) = 1.9044276124509529259443536788732 y[1] (numeric) = 1.9044276124509529259443536788725 absolute error = 7e-31 relative error = 3.6756450884426984944564920840523e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.741 y[1] (analytic) = 1.9049865677630997426583502261997 y[1] (numeric) = 1.9049865677630997426583502261989 absolute error = 8e-31 relative error = 4.1995046765048181371594075729108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.742 y[1] (analytic) = 1.9055455091756090035413215315355 y[1] (numeric) = 1.9055455091756090035413215315347 absolute error = 8e-31 relative error = 4.1982728627987574795671484083565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.743 y[1] (analytic) = 1.9061044366950332779504578733686 y[1] (numeric) = 1.9061044366950332779504578733678 absolute error = 8e-31 relative error = 4.1970418021118945019773685778978e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.744 y[1] (analytic) = 1.9066633503279205028148982555903 y[1] (numeric) = 1.9066633503279205028148982555895 absolute error = 8e-31 relative error = 4.1958114937406791740429830784715e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.745 y[1] (analytic) = 1.9072222500808139870013123685872 y[1] (numeric) = 1.9072222500808139870013123685864 absolute error = 8e-31 relative error = 4.1945819369824461254417312623213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.746 y[1] (analytic) = 1.9077811359602524156743411275528 y[1] (numeric) = 1.907781135960252415674341127552 absolute error = 8e-31 relative error = 4.1933531311354132485703907840353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.747 y[1] (analytic) = 1.9083400079727698546519030524818 y[1] (numeric) = 1.908340007972769854651903052481 absolute error = 8e-31 relative error = 4.1921250754986803038943733942716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.748 y[1] (analytic) = 1.9088988661248957547553737423361 y[1] (numeric) = 1.9088988661248957547553737423353 absolute error = 8e-31 relative error = 4.1908977693722275279468071120111e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.925 Order of pole = 4.796e-27 TOP MAIN SOLVE Loop x[1] = 2.749 y[1] (analytic) = 1.9094577104231549561546456839238 y[1] (numeric) = 1.9094577104231549561546456839229 absolute error = 9e-31 relative error = 4.7133801135640285244676273114691e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.75 y[1] (analytic) = 1.9100165408740676927080756241038 y[1] (numeric) = 1.9100165408740676927080756241029 absolute error = 9e-31 relative error = 4.7120010782112871596022386485852e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.751 y[1] (analytic) = 1.9105753574841495962973267220255 y[1] (numeric) = 1.9105753574841495962973267220247 absolute error = 8e-31 relative error = 4.1872203410675305607766196954430e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.752 y[1] (analytic) = 1.9111341602599117011571126862302 y[1] (numeric) = 1.9111341602599117011571126862294 absolute error = 8e-31 relative error = 4.1859960259995617742741517391956e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.753 y[1] (analytic) = 1.9116929492078604481998510895801 y[1] (numeric) = 1.9116929492078604481998510895793 absolute error = 8e-31 relative error = 4.1847724569549329448737510550400e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.553 Order of pole = 2.962e-27 TOP MAIN SOLVE Loop x[1] = 2.754 y[1] (analytic) = 1.9122517243344976893352330431462 y[1] (numeric) = 1.9122517243344976893352330431455 absolute error = 7e-31 relative error = 3.6606059290840183209867729314859e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.755 y[1] (analytic) = 1.9128104856463206917847163983682 y[1] (numeric) = 1.9128104856463206917847163983675 absolute error = 7e-31 relative error = 3.6595366098878142476753582175994e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.756 y[1] (analytic) = 1.9133692331498221423909496350068 y[1] (numeric) = 1.913369233149822142390949635006 absolute error = 8e-31 relative error = 4.1811062190177789425668230510804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.757 y[1] (analytic) = 1.9139279668514901519221335806403 y[1] (numeric) = 1.9139279668514901519221335806395 absolute error = 8e-31 relative error = 4.1798856271275512321658707635253e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.758 y[1] (analytic) = 1.9144866867578082593713280957066 y[1] (numeric) = 1.9144866867578082593713280957058 absolute error = 8e-31 relative error = 4.1786657777955278820018047134599e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.759 y[1] (analytic) = 1.9150453928752554362507108463645 y[1] (numeric) = 1.9150453928752554362507108463637 absolute error = 8e-31 relative error = 4.1774466703312832451885366216070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.76 y[1] (analytic) = 1.9156040852103060908807952757458 y[1] (numeric) = 1.915604085210306090880795275745 absolute error = 8e-31 relative error = 4.1762283040452556514309735042448e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.761 y[1] (analytic) = 1.9161627637694300726746148724852 y[1] (numeric) = 1.9161627637694300726746148724845 absolute error = 7e-31 relative error = 3.6531343434676527928204773399301e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.762 y[1] (analytic) = 1.9167214285590926764168808237554 y[1] (numeric) = 1.9167214285590926764168808237546 absolute error = 8e-31 relative error = 4.1737937922539166489020933901639e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.763 y[1] (analytic) = 1.917280079585754646538120128394 y[1] (numeric) = 1.9172800795857546465381201283932 absolute error = 8e-31 relative error = 4.1725776453737895725464398010845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.764 y[1] (analytic) = 1.9178387168558721813838012340956 y[1] (numeric) = 1.9178387168558721813838012340948 absolute error = 8e-31 relative error = 4.1713622369222455007229841748008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.765 y[1] (analytic) = 1.9183973403758969374784542510426 y[1] (numeric) = 1.9183973403758969374784542510418 absolute error = 8e-31 relative error = 4.1701475662140223260666737010029e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.766 y[1] (analytic) = 1.918955950152276033784792782778 y[1] (numeric) = 1.9189559501522760337847927827773 absolute error = 7e-31 relative error = 3.6478169284941245817320036171276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.767 y[1] (analytic) = 1.9195145461914520559578444035716 y[1] (numeric) = 1.9195145461914520559578444035709 absolute error = 7e-31 relative error = 3.6467553808794221998853780396668e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.768 y[1] (analytic) = 1.9200731284998630605940967999976 y[1] (numeric) = 1.9200731284998630605940967999969 absolute error = 7e-31 relative error = 3.6456944769958011728071451849707e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.769 y[1] (analytic) = 1.9206316970839425794756665829388 y[1] (numeric) = 1.9206316970839425794756665829381 absolute error = 7e-31 relative error = 3.6446342162466456486076529437038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.77 y[1] (analytic) = 1.9211902519501196238094977647396 y[1] (numeric) = 1.9211902519501196238094977647388 absolute error = 8e-31 relative error = 4.1640852548983816825048384999758e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.771 y[1] (analytic) = 1.9217487931048186884615968847687 y[1] (numeric) = 1.9217487931048186884615968847679 absolute error = 8e-31 relative error = 4.1628749963074143076396779907455e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=324.2MB, alloc=4.4MB, time=37.98 TOP MAIN SOLVE Loop x[1] = 2.772 y[1] (analytic) = 1.9223073205544597561863117552076 y[1] (numeric) = 1.9223073205544597561863117552068 absolute error = 8e-31 relative error = 4.1616654706868223223506177692252e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.773 y[1] (analytic) = 1.9228658343054583018506607874562 y[1] (numeric) = 1.9228658343054583018506607874554 absolute error = 8e-31 relative error = 4.1604566773581530953609611192739e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.766 Order of pole = 5.29e-28 TOP MAIN SOLVE Loop x[1] = 2.774 y[1] (analytic) = 1.9234243343642252966537198481497 y[1] (numeric) = 1.923424334364225296653719848149 absolute error = 7e-31 relative error = 3.6393425386883242916389884778164e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.775 y[1] (analytic) = 1.9239828207371672123410735823976 y[1] (numeric) = 1.9239828207371672123410735823969 absolute error = 7e-31 relative error = 3.6382861242586224133129538373056e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.776 y[1] (analytic) = 1.9245412934306860254143381304982 y[1] (numeric) = 1.9245412934306860254143381304975 absolute error = 7e-31 relative error = 3.6372303488078474383534785891719e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.777 y[1] (analytic) = 1.9250997524511792213357621530464 y[1] (numeric) = 1.9250997524511792213357621530458 absolute error = 6e-31 relative error = 3.1167216100674039102205680342594e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.378 Order of pole = 2.230e-27 TOP MAIN SOLVE Loop x[1] = 2.778 y[1] (analytic) = 1.9256581978050397987279130680346 y[1] (numeric) = 1.9256581978050397987279130680339 absolute error = 7e-31 relative error = 3.6351207124810339086737730708665e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.3341 Order of pole = 1.515e-27 TOP MAIN SOLVE Loop x[1] = 2.779 y[1] (analytic) = 1.9262166294986562735684553922506 y[1] (numeric) = 1.9262166294986562735684553922499 absolute error = 7e-31 relative error = 3.6340668504258093841157533338815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.78 y[1] (analytic) = 1.9267750475384126833800280680073 y[1] (numeric) = 1.9267750475384126833800280680066 absolute error = 7e-31 relative error = 3.6330136249911375281643444717548e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.781 y[1] (analytic) = 1.9273334519306885914152276449802 y[1] (numeric) = 1.9273334519306885914152276449795 absolute error = 7e-31 relative error = 3.6319610355892563708284039459804e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.782 y[1] (analytic) = 1.9278918426818590908367041757018 y[1] (numeric) = 1.9278918426818590908367041757012 absolute error = 6e-31 relative error = 3.1122077842569722486183056983248e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.783 y[1] (analytic) = 1.9284502197982948088923766720492 y[1] (numeric) = 1.9284502197982948088923766720486 absolute error = 6e-31 relative error = 3.1113066536026876043289051649364e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.784 y[1] (analytic) = 1.9290085832863619110857749588707 y[1] (numeric) = 1.9290085832863619110857749588701 absolute error = 6e-31 relative error = 3.1104060666117306614971534112254e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.785 y[1] (analytic) = 1.929566933152422105341514749731 y[1] (numeric) = 1.9295669331524221053415147497304 absolute error = 6e-31 relative error = 3.1095060227828036403416770928774e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.786 y[1] (analytic) = 1.9301252694028326461659127586037 y[1] (numeric) = 1.9301252694028326461659127586031 absolute error = 6e-31 relative error = 3.1086065216152308759857611443515e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.787 y[1] (analytic) = 1.9306835920439463388027486502141 y[1] (numeric) = 1.9306835920439463388027486502136 absolute error = 5e-31 relative error = 2.5897563021741315405181638403390e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.788 y[1] (analytic) = 1.9312419010821115433841806206295 y[1] (numeric) = 1.9312419010821115433841806206289 absolute error = 6e-31 relative error = 3.1068091452645502154948536263141e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.789 y[1] (analytic) = 1.9318001965236721790768213886053 y[1] (numeric) = 1.9318001965236721790768213886047 absolute error = 6e-31 relative error = 3.1059112690831928447013930493266e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.011 Order of pole = 3.08e-28 TOP MAIN SOLVE Loop x[1] = 2.79 y[1] (analytic) = 1.9323584783749677282229813671356 y[1] (numeric) = 1.932358478374967728222981367135 absolute error = 6e-31 relative error = 3.1050139335666888507991401237566e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.791 y[1] (analytic) = 1.9329167466423332404770857736061 y[1] (numeric) = 1.9329167466423332404770857736055 absolute error = 6e-31 relative error = 3.1041171382174586322241536656163e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.476 Order of pole = 1.614e-27 TOP MAIN SOLVE Loop x[1] = 2.792 y[1] (analytic) = 1.9334750013320993369372724259287 y[1] (numeric) = 1.9334750013320993369372724259281 absolute error = 6e-31 relative error = 3.1032208825385389105111340762764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.793 y[1] (analytic) = 1.934033242450592214272176961031 y[1] (numeric) = 1.9340332424505922142721769610305 absolute error = 5e-31 relative error = 2.5852709716946514760941862150841e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.281 Order of pole = 2.089e-27 TOP MAIN SOLVE Loop x[1] = 2.794 y[1] (analytic) = 1.9345914700041336488429122010918 y[1] (numeric) = 1.9345914700041336488429122010912 absolute error = 6e-31 relative error = 3.1014299882068537072159609685942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.795 y[1] (analytic) = 1.9351496839990410008202483819507 y[1] (numeric) = 1.9351496839990410008202483819501 absolute error = 6e-31 relative error = 3.1005353485632346623456664033444e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.796 y[1] (analytic) = 1.9357078844416272182970009471809 y[1] (numeric) = 1.9357078844416272182970009471803 absolute error = 6e-31 relative error = 3.0996412466082170787613348220484e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.797 y[1] (analytic) = 1.9362660713382008413956326003873 y[1] (numeric) = 1.9362660713382008413956326003867 absolute error = 6e-31 relative error = 3.0987476818479049446331348282575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.798 y[1] (analytic) = 1.9368242446950660063710762973972 y[1] (numeric) = 1.9368242446950660063710762973966 absolute error = 6e-31 relative error = 3.0978546537890128441994128822444e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.345 Order of pole = 4.548e-27 TOP MAIN SOLVE Loop x[1] = 2.799 y[1] (analytic) = 1.9373824045185224497087858491243 y[1] (numeric) = 1.9373824045185224497087858491237 absolute error = 6e-31 relative error = 3.0969621619388650094997157676973e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.57 Order of pole = 3.789e-26 TOP MAIN SOLVE Loop x[1] = 2.8 y[1] (analytic) = 1.9379405508148655122180207950299 y[1] (numeric) = 1.9379405508148655122180207950293 absolute error = 6e-31 relative error = 3.0960702058053943738797530468251e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.839 Order of pole = 3.707e-26 TOP MAIN SOLVE Loop x[1] = 2.801 y[1] (analytic) = 1.9384986835903861431203721962634 y[1] (numeric) = 1.9384986835903861431203721962628 absolute error = 6e-31 relative error = 3.0951787848971416272644310250422e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.802 y[1] (analytic) = 1.9390568028513709041335359867426 y[1] (numeric) = 1.939056802851370904133535986742 absolute error = 6e-31 relative error = 3.0942878987232542731950994057503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=328.0MB, alloc=4.4MB, time=38.42 TOP MAIN SOLVE Loop x[1] = 2.803 y[1] (analytic) = 1.9396149086041019735503405096368 y[1] (numeric) = 1.9396149086041019735503405096362 absolute error = 6e-31 relative error = 3.0933975467934856876271614479391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.804 y[1] (analytic) = 1.9401730008548571503130348559332 y[1] (numeric) = 1.9401730008548571503130348559327 absolute error = 5e-31 relative error = 2.5770897738484951495701733703984e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.805 y[1] (analytic) = 1.9407310796099098580828446110086 y[1] (numeric) = 1.940731079609909858082844611008 absolute error = 6e-31 relative error = 3.0916184437083420529648457171457e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.806 y[1] (analytic) = 1.9412891448755291493048016043861 y[1] (numeric) = 1.9412891448755291493048016043855 absolute error = 6e-31 relative error = 3.0907296915754946715983980757302e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.807 y[1] (analytic) = 1.9418471966579797092678542471408 y[1] (numeric) = 1.9418471966579797092678542471402 absolute error = 6e-31 relative error = 3.0898414717318195240456698130087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.808 y[1] (analytic) = 1.9424052349635218601602650307122 y[1] (numeric) = 1.9424052349635218601602650307115 absolute error = 7e-31 relative error = 3.6037794143050995069144671060432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.809 y[1] (analytic) = 1.9429632597984115651203017502058 y[1] (numeric) = 1.9429632597984115651203017502051 absolute error = 7e-31 relative error = 3.6027443981242710706168845848392e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.81 y[1] (analytic) = 1.9435212711689004322822290046036 y[1] (numeric) = 1.943521271168900432282229004603 absolute error = 6e-31 relative error = 3.0871800010665146783910930869108e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.811 y[1] (analytic) = 1.9440792690812357188176065156624 y[1] (numeric) = 1.9440792690812357188176065156618 absolute error = 6e-31 relative error = 3.0862939055132132557621733253945e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.812 y[1] (analytic) = 1.9446372535416603349719007966578 y[1] (numeric) = 1.9446372535416603349719007966571 absolute error = 7e-31 relative error = 3.5996430631220742805805017670696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.813 y[1] (analytic) = 1.9451952245564128480964166915316 y[1] (numeric) = 1.9451952245564128480964166915309 absolute error = 7e-31 relative error = 3.5986105207492977429601965896653e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.814 y[1] (analytic) = 1.9457531821317274866755552944181 y[1] (numeric) = 1.9457531821317274866755552944174 absolute error = 7e-31 relative error = 3.5975785954161682637855009113072e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.815 y[1] (analytic) = 1.9463111262738341443494047489612 y[1] (numeric) = 1.9463111262738341443494047489605 absolute error = 7e-31 relative error = 3.5965472865591287542035597295453e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.816 y[1] (analytic) = 1.9468690569889583839316704162945 y[1] (numeric) = 1.9468690569889583839316704162938 absolute error = 7e-31 relative error = 3.5955165936153148864772411402826e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.817 y[1] (analytic) = 1.947426974283321441422950890032 y[1] (numeric) = 1.9474269742833214414229508900312 absolute error = 8e-31 relative error = 4.1079845897400617419462611147824e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.104 Order of pole = 2.180e-27 TOP MAIN SOLVE Loop x[1] = 2.818 y[1] (analytic) = 1.9479848781631402300193663261132 y[1] (numeric) = 1.9479848781631402300193663261124 absolute error = 8e-31 relative error = 4.1068080608221304623043844096512e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.743 Order of pole = 4.152e-27 TOP MAIN SOLVE Loop x[1] = 2.819 y[1] (analytic) = 1.9485427686346273441165455448646 y[1] (numeric) = 1.9485427686346273441165455448638 absolute error = 8e-31 relative error = 4.1056322338799460826068406095261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.82 y[1] (analytic) = 1.9491006457039910633089783521724 y[1] (numeric) = 1.9491006457039910633089783521716 absolute error = 8e-31 relative error = 4.1044571082733897900077508995142e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.821 y[1] (analytic) = 1.9496585093774353563847395162178 y[1] (numeric) = 1.9496585093774353563847395162169 absolute error = 9e-31 relative error = 4.6161930187835194593119875318262e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.705 Order of pole = 1.060e-27 TOP MAIN SOLVE Loop x[1] = 2.822 y[1] (analytic) = 1.9502163596611598853155908257999 y[1] (numeric) = 1.950216359661159885315590825799 absolute error = 9e-31 relative error = 4.6148725783244398348157577003327e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.823 y[1] (analytic) = 1.9507741965613600092424676458656 y[1] (numeric) = 1.9507741965613600092424676458647 absolute error = 9e-31 relative error = 4.6135529247128384137917863810450e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.824 y[1] (analytic) = 1.951332020084226788456356375476 y[1] (numeric) = 1.9513320200842267884563563754751 absolute error = 9e-31 relative error = 4.6122340572321087303996112839712e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.825 y[1] (analytic) = 1.9518898302359469883745692030746 y[1] (numeric) = 1.9518898302359469883745692030738 absolute error = 8e-31 relative error = 4.0985919779257979771492734038660e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.826 y[1] (analytic) = 1.9524476270227030835124225435706 y[1] (numeric) = 1.9524476270227030835124225435698 absolute error = 8e-31 relative error = 4.0974210469344261226556782376781e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.827 y[1] (analytic) = 1.9530054104506732614503255314216 y[1] (numeric) = 1.9530054104506732614503255314208 absolute error = 8e-31 relative error = 4.0962508128197808148764741264773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.828 y[1] (analytic) = 1.9535631805260314267962849335911 y[1] (numeric) = 1.9535631805260314267962849335903 absolute error = 8e-31 relative error = 4.0950812749479945430238692529109e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.829 y[1] (analytic) = 1.9541209372549472051438328359617 y[1] (numeric) = 1.954120937254947205143832835961 absolute error = 7e-31 relative error = 3.5821733786002288295349402377336e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.83 y[1] (analytic) = 1.9546786806435859470253834465155 y[1] (numeric) = 1.9546786806435859470253834465148 absolute error = 7e-31 relative error = 3.5811512497262319254967305287620e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.831 y[1] (analytic) = 1.9552364106981087318610253483359 y[1] (numeric) = 1.9552364106981087318610253483352 absolute error = 7e-31 relative error = 3.5801297284049043334894193869292e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.032 Order of pole = 9.22e-28 TOP MAIN SOLVE Loop x[1] = 2.832 y[1] (analytic) = 1.9557941274246723719027555252549 y[1] (numeric) = 1.9557941274246723719027555252542 absolute error = 7e-31 relative error = 3.5791088140843217547021259815352e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.242 Order of pole = 2.389e-27 TOP MAIN SOLVE Loop x[1] = 2.833 y[1] (analytic) = 1.9563518308294294161741614727495 y[1] (numeric) = 1.9563518308294294161741614727488 absolute error = 7e-31 relative error = 3.5780885062132347325644790489592e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.834 y[1] (analytic) = 1.9569095209185281544055576964978 y[1] (numeric) = 1.9569095209185281544055576964971 absolute error = 7e-31 relative error = 3.5770688042410676161761209108239e-29 % Correct digits = 30 memory used=331.8MB, alloc=4.4MB, time=38.88 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.835 y[1] (analytic) = 1.957467197698112620964582890825 y[1] (numeric) = 1.9574671976981126209645828908243 absolute error = 7e-31 relative error = 3.5760497076179175256520149351525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.836 y[1] (analytic) = 1.9580248611743225987822640791109 y[1] (numeric) = 1.9580248611743225987822640791102 absolute error = 7e-31 relative error = 3.5750312157945533193794194267383e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.837 y[1] (analytic) = 1.9585825113532936232745539880902 y[1] (numeric) = 1.9585825113532936232745539880895 absolute error = 7e-31 relative error = 3.5740133282224145631824011505300e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.838 y[1] (analytic) = 1.9591401482411569862593479178548 y[1] (numeric) = 1.9591401482411569862593479178541 absolute error = 7e-31 relative error = 3.5729960443536105013897718810162e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9123 Order of pole = 1.260e-27 TOP MAIN SOLVE Loop x[1] = 2.839 y[1] (analytic) = 1.9596977718440397398689863592638 y[1] (numeric) = 1.9596977718440397398689863592631 absolute error = 7e-31 relative error = 3.5719793636409190298023415314635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.84 y[1] (analytic) = 1.9602553821680647004582496003833 y[1] (numeric) = 1.9602553821680647004582496003826 absolute error = 7e-31 relative error = 3.5709632855377856705553915495041e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.841 y[1] (analytic) = 1.9608129792193504525078505535109 y[1] (numeric) = 1.9608129792193504525078505535102 absolute error = 7e-31 relative error = 3.5699478094983225488722823700793e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.842 y[1] (analytic) = 1.9613705630040113525234320242934 y[1] (numeric) = 1.9613705630040113525234320242926 absolute error = 8e-31 relative error = 4.0787804971169227105201357636553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.843 y[1] (analytic) = 1.961928133528157532930074634416 y[1] (numeric) = 1.9619281335281575329300746344152 absolute error = 8e-31 relative error = 4.0776213273487798951524653742474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.844 y[1] (analytic) = 1.9624856907978949059623215993338 y[1] (numeric) = 1.962485690797894905962321599333 absolute error = 8e-31 relative error = 4.0764628437863468255904554982213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.845 y[1] (analytic) = 1.9630432348193251675497265525194 y[1] (numeric) = 1.9630432348193251675497265525187 absolute error = 7e-31 relative error = 3.5658919150826889068968211137282e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.846 y[1] (analytic) = 1.9636007655985458011979305977324 y[1] (numeric) = 1.9636007655985458011979305977317 absolute error = 7e-31 relative error = 3.5648794411965185696467166917606e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.847 y[1] (analytic) = 1.9641582831416500818652747608565 y[1] (numeric) = 1.9641582831416500818652747608558 absolute error = 7e-31 relative error = 3.5638675661126328216101044488497e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.848 y[1] (analytic) = 1.9647157874547270798349540029168 y[1] (numeric) = 1.9647157874547270798349540029161 absolute error = 7e-31 relative error = 3.5628562892897815167297057738711e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.849 y[1] (analytic) = 1.9652732785438616645827189459688 y[1] (numeric) = 1.965273278543861664582718945968 absolute error = 8e-31 relative error = 4.0706806973569977070388274315437e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.85 y[1] (analytic) = 1.96583075641513450864013145365 y[1] (numeric) = 1.9658307564151345086401314536493 absolute error = 7e-31 relative error = 3.5608355282654730693536824087869e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.33 Order of pole = 5.699e-26 TOP MAIN SOLVE Loop x[1] = 2.851 y[1] (analytic) = 1.9663882210746220914533801983064 y[1] (numeric) = 1.9663882210746220914533801983057 absolute error = 7e-31 relative error = 3.5598260429848040345143337819122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.852 y[1] (analytic) = 1.9669456725283967032376623367359 y[1] (numeric) = 1.9669456725283967032376623367352 absolute error = 7e-31 relative error = 3.5588171538067436508754146997720e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.853 y[1] (analytic) = 1.9675031107825264488271374067516 y[1] (numeric) = 1.9675031107825264488271374067509 absolute error = 7e-31 relative error = 3.5578088601933241503375273775225e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.854 y[1] (analytic) = 1.9680605358430752515204595469348 y[1] (numeric) = 1.968060535843075251520459546934 absolute error = 8e-31 relative error = 4.0649156132654071267867905387162e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.855 y[1] (analytic) = 1.9686179477161028569218941321401 y[1] (numeric) = 1.9686179477161028569218941321393 absolute error = 8e-31 relative error = 4.0637646371563463824675656396405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.856 y[1] (analytic) = 1.9691753464076648367780249075242 y[1] (numeric) = 1.9691753464076648367780249075234 absolute error = 8e-31 relative error = 4.0626143398526049737837436763843e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.857 y[1] (analytic) = 1.9697327319238125928100576940933 y[1] (numeric) = 1.9697327319238125928100576940925 absolute error = 8e-31 relative error = 4.0614647207423430614274740129419e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.858 y[1] (analytic) = 1.9702901042705933605417267290109 y[1] (numeric) = 1.9702901042705933605417267290101 absolute error = 8e-31 relative error = 4.0603157792144630841843575983516e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.859 y[1] (analytic) = 1.9708474634540502131228096941689 y[1] (numeric) = 1.970847463454050213122809694168 absolute error = 9e-31 relative error = 4.5665634539909347060800829391471e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.704 Order of pole = 8.527e-27 TOP MAIN SOLVE Loop x[1] = 2.86 y[1] (analytic) = 1.9714048094802220651482574768038 y[1] (numeric) = 1.9714048094802220651482574768029 absolute error = 9e-31 relative error = 4.5652724172733087067419415298581e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.861 y[1] (analytic) = 1.9719621423551436764729446962403 y[1] (numeric) = 1.9719621423551436764729446962395 absolute error = 8e-31 relative error = 4.0568730140252495794694605918181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.862 y[1] (analytic) = 1.9725194620848456560220470211573 y[1] (numeric) = 1.9725194620848456560220470211564 absolute error = 9e-31 relative error = 4.5626926238220687077331668793459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.863 y[1] (analytic) = 1.9730767686753544655970512921053 y[1] (numeric) = 1.9730767686753544655970512921044 absolute error = 9e-31 relative error = 4.5614038657209690129470375787916e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.864 y[1] (analytic) = 1.973634062132692423677404454358 y[1] (numeric) = 1.9736340621326924236774044543571 absolute error = 9e-31 relative error = 4.5601158657926056677056851173215e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.865 y[1] (analytic) = 1.9741913424628777092178072965451 y[1] (numeric) = 1.9741913424628777092178072965442 absolute error = 9e-31 relative error = 4.5588286233553038498254780225495e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=335.7MB, alloc=4.4MB, time=39.33 x[1] = 2.866 y[1] (analytic) = 1.9747486096719243654411589809036 y[1] (numeric) = 1.9747486096719243654411589809027 absolute error = 9e-31 relative error = 4.5575421377282136832919915394478e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.867 y[1] (analytic) = 1.9753058637658423036271583413868 y[1] (numeric) = 1.9753058637658423036271583413859 absolute error = 9e-31 relative error = 4.5562564082313089840730817286161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.868 y[1] (analytic) = 1.9758631047506373068965679162922 y[1] (numeric) = 1.9758631047506373068965679162913 absolute error = 9e-31 relative error = 4.5549714341853860082263494175236e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.869 y[1] (analytic) = 1.9764203326323110339911466725099 y[1] (numeric) = 1.976420332632311033991146672509 absolute error = 9e-31 relative error = 4.5536872149120622022960898248819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.87 y[1] (analytic) = 1.9769775474168610230492573689469 y[1] (numeric) = 1.976977547416861023049257368946 absolute error = 9e-31 relative error = 4.5524037497337749559948356677499e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.871 y[1] (analytic) = 1.9775347491102806953771544971605 y[1] (numeric) = 1.9775347491102806953771544971597 absolute error = 8e-31 relative error = 4.0454409226433603174796564599234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.872 y[1] (analytic) = 1.9780919377185593592159587277224 y[1] (numeric) = 1.9780919377185593592159587277216 absolute error = 8e-31 relative error = 4.0443014035165795102338178610272e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.873 y[1] (analytic) = 1.9786491132476822135043237813452 y[1] (numeric) = 1.9786491132476822135043237813443 absolute error = 9e-31 relative error = 4.5485578720057794896194370777976e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.15 Order of pole = 5.523e-27 TOP MAIN SOLVE Loop x[1] = 2.874 y[1] (analytic) = 1.9792062757036303516368016343302 y[1] (numeric) = 1.9792062757036303516368016343294 absolute error = 8e-31 relative error = 4.0420243701763268566275687848906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.875 y[1] (analytic) = 1.9797634250923807652179119584382 y[1] (numeric) = 1.9797634250923807652179119584374 absolute error = 8e-31 relative error = 4.0408868547648311970395267962750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.876 y[1] (analytic) = 1.9803205614199063478119216858443 y[1] (numeric) = 1.9803205614199063478119216858435 absolute error = 8e-31 relative error = 4.0397500060616112185493186630473e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.571 Order of pole = 4.121e-27 TOP MAIN SOLVE Loop x[1] = 2.877 y[1] (analytic) = 1.9808776846921758986883405804195 y[1] (numeric) = 1.9808776846921758986883405804187 absolute error = 8e-31 relative error = 4.0386138234694600392524141528055e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.878 y[1] (analytic) = 1.9814347949151541265631386871742 y[1] (numeric) = 1.9814347949151541265631386871735 absolute error = 7e-31 relative error = 3.5327935180929044660864929389651e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.879 y[1] (analytic) = 1.9819918920948016533356915223129 y[1] (numeric) = 1.9819918920948016533356915223121 absolute error = 8e-31 relative error = 4.0363434542331356656770837147256e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.88 y[1] (analytic) = 1.9825489762370750178214588569772 y[1] (numeric) = 1.9825489762370750178214588569764 absolute error = 8e-31 relative error = 4.0352092663981445526999903783265e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.881 y[1] (analytic) = 1.9831060473479266794804029384047 y[1] (numeric) = 1.9831060473479266794804029384039 absolute error = 8e-31 relative error = 4.0340757422925842261887366850987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.882 y[1] (analytic) = 1.9836631054333050221411519828909 y[1] (numeric) = 1.9836631054333050221411519828901 absolute error = 8e-31 relative error = 4.0329428813228371233503416834381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.883 y[1] (analytic) = 1.9842201504991543577209147656252 y[1] (numeric) = 1.9842201504991543577209147656244 absolute error = 8e-31 relative error = 4.0318106828960002891446920465428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.884 y[1] (analytic) = 1.984777182551414929941152123169 y[1] (numeric) = 1.9847771825514149299411521231682 absolute error = 8e-31 relative error = 4.0306791464198842955368159107153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.885 y[1] (analytic) = 1.9853342015960229180390111750591 y[1] (numeric) = 1.9853342015960229180390111750584 absolute error = 7e-31 relative error = 3.5258547373901356423764443645031e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.886 y[1] (analytic) = 1.9858912076389104404745280617512 y[1] (numeric) = 1.9858912076389104404745280617505 absolute error = 7e-31 relative error = 3.5248657998352909969924825623414e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.887 y[1] (analytic) = 1.9864482006860055586336049868664 y[1] (numeric) = 1.9864482006860055586336049868658 absolute error = 6e-31 relative error = 3.0204663770884855067710260581510e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.888 y[1] (analytic) = 1.987005180743232280526767342472 y[1] (numeric) = 1.9870051807432322805267673424714 absolute error = 6e-31 relative error = 3.0196197061528149410624466892683e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.81 Order of pole = 1.779e-26 TOP MAIN SOLVE Loop x[1] = 2.889 y[1] (analytic) = 1.987562147816510564483706686906 y[1] (numeric) = 1.9875621478165105644837066869053 absolute error = 7e-31 relative error = 3.5219024510453858234201830296380e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.89 y[1] (analytic) = 1.988119101911756322843615335458 y[1] (numeric) = 1.9881191019117563228436153354574 absolute error = 6e-31 relative error = 3.0179278465915132334842808017132e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.891 y[1] (analytic) = 1.988676043034881425641318315034 y[1] (numeric) = 1.9886760430348814256413183150334 absolute error = 6e-31 relative error = 3.0170826570845153262819264495083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.892 y[1] (analytic) = 1.9892329711917937042892084247626 y[1] (numeric) = 1.9892329711917937042892084247619 absolute error = 7e-31 relative error = 3.5189442872576882499096178684480e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.893 y[1] (analytic) = 1.9897898863883969552549901353544 y[1] (numeric) = 1.9897898863883969552549901353537 absolute error = 7e-31 relative error = 3.5179593824881042174173032554657e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.894 y[1] (analytic) = 1.9903467886305909437352380508898 y[1] (numeric) = 1.9903467886305909437352380508891 absolute error = 7e-31 relative error = 3.5169750517778750940994821429975e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.895 y[1] (analytic) = 1.9909036779242714073247756475916 y[1] (numeric) = 1.9909036779242714073247756475909 absolute error = 7e-31 relative error = 3.5159912946156409042505082015509e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.896 y[1] (analytic) = 1.991460554275330059681879995042 y[1] (numeric) = 1.9914605542753300596818799950413 absolute error = 7e-31 relative error = 3.5150081104906547936356040842603e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.897 y[1] (analytic) = 1.992017417689654594189318156217 y[1] (numeric) = 1.9920174176896545941893181562162 absolute error = 8e-31 relative error = 4.0160291415917509782009427244781e-29 % Correct digits = 30 h = 0.001 memory used=339.5MB, alloc=4.4MB, time=39.78 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.898 y[1] (analytic) = 1.9925742681731286876112209536427 y[1] (numeric) = 1.992574268173128687611220953642 absolute error = 7e-31 relative error = 3.5130434593124994608070705409075e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.899 y[1] (analytic) = 1.9931311057316320037457997799314 y[1] (numeric) = 1.9931311057316320037457997799307 absolute error = 7e-31 relative error = 3.5120619912408938337596017441729e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.9 y[1] (analytic) = 1.9936879303710401970739121219138 y[1] (numeric) = 1.9936879303710401970739121219131 absolute error = 7e-31 relative error = 3.5110810941696616375045224558868e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.901 y[1] (analytic) = 1.9942447420972249164034814585734 y[1] (numeric) = 1.9942447420972249164034814585726 absolute error = 8e-31 relative error = 4.0115437343898374915585151491637e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.66 Order of pole = 5.313e-27 TOP MAIN SOLVE Loop x[1] = 2.902 y[1] (analytic) = 1.9948015409160538085097771839797 y[1] (numeric) = 1.9948015409160538085097771839789 absolute error = 8e-31 relative error = 4.0104240125693084283195522751698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.903 y[1] (analytic) = 1.9953583268333905217715601974382 y[1] (numeric) = 1.9953583268333905217715601974374 absolute error = 8e-31 relative error = 4.0093049415820480871332191329428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.904 y[1] (analytic) = 1.9959150998550947098030997941006 y[1] (numeric) = 1.9959150998550947098030997940998 absolute error = 8e-31 relative error = 4.0081865208499136215598852531581e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.339 Order of pole = 3.585e-27 TOP MAIN SOLVE Loop x[1] = 2.905 y[1] (analytic) = 1.9964718599870220350820674803289 y[1] (numeric) = 1.9964718599870220350820674803281 absolute error = 8e-31 relative error = 4.0070687497954534644222779661017e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.906 y[1] (analytic) = 1.9970286072350241725733133291702 y[1] (numeric) = 1.9970286072350241725733133291694 absolute error = 8e-31 relative error = 4.0059516278419062893763235727073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.907 y[1] (analytic) = 1.9975853416049488133485304823772 y[1] (numeric) = 1.9975853416049488133485304823765 absolute error = 7e-31 relative error = 3.5042307601115499775641870092696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.908 y[1] (analytic) = 1.9981420631026396682018133965074 y[1] (numeric) = 1.9981420631026396682018133965066 absolute error = 8e-31 relative error = 4.0037193289339505669097324455100e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.638 Order of pole = 2.629e-27 TOP MAIN SOLVE Loop x[1] = 2.909 y[1] (analytic) = 1.9986987717339364712611154217428 y[1] (numeric) = 1.998698771733936471261115421742 absolute error = 8e-31 relative error = 4.0026041508294612513598887960853e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.91 y[1] (analytic) = 1.9992554675046749835956112932052 y[1] (numeric) = 1.9992554675046749835956112932044 absolute error = 8e-31 relative error = 4.0014896195257213178889097512213e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.911 y[1] (analytic) = 1.9998121504206869968189701056799 y[1] (numeric) = 1.9998121504206869968189701056791 absolute error = 8e-31 relative error = 4.0003757344494051334406573649553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.912 y[1] (analytic) = 2.0003688204878003366885443338264 y[1] (numeric) = 2.0003688204878003366885443338256 absolute error = 8e-31 relative error = 3.9992624950278711144975438132192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.913 y[1] (analytic) = 2.0009254777118388667004804511284 y[1] (numeric) = 2.0009254777118388667004804511276 absolute error = 8e-31 relative error = 3.9981499006891607017080273707219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.914 y[1] (analytic) = 2.0014821220986224916807566920278 y[1] (numeric) = 2.001482122098622491680756692027 absolute error = 8e-31 relative error = 3.9970379508619973363636389713972e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.915 y[1] (analytic) = 2.0020387536539671613721534928962 y[1] (numeric) = 2.0020387536539671613721534928954 absolute error = 8e-31 relative error = 3.9959266449757854387216412811412e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.916 y[1] (analytic) = 2.0025953723836848740171621387217 y[1] (numeric) = 2.002595372383684874017162138721 absolute error = 7e-31 relative error = 3.4954639846530332146482526573614e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.315 Order of pole = 1.674e-26 TOP MAIN SOLVE Loop x[1] = 2.917 y[1] (analytic) = 2.0031519782935836799368371336285 y[1] (numeric) = 2.0031519782935836799368371336277 absolute error = 8e-31 relative error = 3.9937059627472325052268093496359e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.918 y[1] (analytic) = 2.0037085713894676851055978046019 y[1] (numeric) = 2.0037085713894676851055978046011 absolute error = 8e-31 relative error = 3.9925965852670960353822380122772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.919 y[1] (analytic) = 2.0042651516771370547219846390663 y[1] (numeric) = 2.0042651516771370547219846390655 absolute error = 8e-31 relative error = 3.9914878494523181347592411790799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.92 y[1] (analytic) = 2.0048217191623880167753758482465 y[1] (numeric) = 2.0048217191623880167753758482457 absolute error = 8e-31 relative error = 3.9903797547356928576090810722675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.921 y[1] (analytic) = 2.0053782738510128656086696395506 y[1] (numeric) = 2.0053782738510128656086696395498 absolute error = 8e-31 relative error = 3.9892723005506891456258776466813e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.922 y[1] (analytic) = 2.0059348157487999654769376725286 y[1] (numeric) = 2.0059348157487999654769376725279 absolute error = 7e-31 relative error = 3.4896448005400185916952934626234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.923 y[1] (analytic) = 2.0064913448615337541020551642982 y[1] (numeric) = 2.0064913448615337541020551642974 absolute error = 8e-31 relative error = 3.9870593115127905697682541950247e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.924 y[1] (analytic) = 2.007047861194994746223313101676 y[1] (numeric) = 2.0070478611949947462233131016753 absolute error = 7e-31 relative error = 3.4877095535889240862987587326010e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.925 y[1] (analytic) = 2.0076043647549595371440180086249 y[1] (numeric) = 2.0076043647549595371440180086242 absolute error = 7e-31 relative error = 3.4867427680923542232650497129104e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.926 y[1] (analytic) = 2.008160855547200806274084709001 y[1] (numeric) = 2.0081608555472008062740847090003 absolute error = 7e-31 relative error = 3.4857765405912069063298227748659e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.44 Order of pole = 7.3e-29 TOP MAIN SOLVE Loop x[1] = 2.927 y[1] (analytic) = 2.0087173335774873206686275159904 y[1] (numeric) = 2.0087173335774873206686275159897 absolute error = 7e-31 relative error = 3.4848108705932921360937808357374e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.928 y[1] (analytic) = 2.0092737988515839385625552710316 y[1] (numeric) = 2.0092737988515839385625552710308 absolute error = 8e-31 relative error = 3.9815380086937191926792294637929e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=343.3MB, alloc=4.4MB, time=40.23 x[1] = 2.929 y[1] (analytic) = 2.0098302513752516129011756464511 y[1] (numeric) = 2.0098302513752516129011756464503 absolute error = 8e-31 relative error = 3.9804356584472243069637854626102e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.231 Order of pole = 1.253e-27 TOP MAIN SOLVE Loop x[1] = 2.93 y[1] (analytic) = 2.0103866911542473948668141174837 y[1] (numeric) = 2.0103866911542473948668141174829 absolute error = 8e-31 relative error = 3.9793339436637755307766196168212e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.931 y[1] (analytic) = 2.0109431181943244374014530008063 y[1] (numeric) = 2.0109431181943244374014530008055 absolute error = 8e-31 relative error = 3.9782328637835354907802485414769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.932 y[1] (analytic) = 2.0114995325012319987253959481906 y[1] (numeric) = 2.0114995325012319987253959481898 absolute error = 8e-31 relative error = 3.9771324182473307027378035860691e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.933 y[1] (analytic) = 2.0120559340807154458519632753695 y[1] (numeric) = 2.0120559340807154458519632753687 absolute error = 8e-31 relative error = 3.9760326064966505824010950158929e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.934 y[1] (analytic) = 2.0126123229385162580982234977166 y[1] (numeric) = 2.0126123229385162580982234977158 absolute error = 8e-31 relative error = 3.9749334279736464581720020588124e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.935 y[1] (analytic) = 2.013168699080372030591766435861 y[1] (numeric) = 2.0131686990803720305917664358602 absolute error = 8e-31 relative error = 3.9738348821211305855334739257500e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.496 Order of pole = 1.484e-27 TOP MAIN SOLVE Loop x[1] = 2.936 y[1] (analytic) = 2.0137250625120164777735232458932 y[1] (numeric) = 2.0137250625120164777735232458925 absolute error = 7e-31 relative error = 3.4761448473347532678406313377008e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.937 y[1] (analytic) = 2.0142814132391794368966387203713 y[1] (numeric) = 2.0142814132391794368966387203705 absolute error = 8e-31 relative error = 3.9716396862021113513089027838697e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.938 y[1] (analytic) = 2.0148377512675868715214011979013 y[1] (numeric) = 2.0148377512675868715214011979005 absolute error = 8e-31 relative error = 3.9705430350245282906736132380851e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.939 y[1] (analytic) = 2.0153940766029608750062354106496 y[1] (numeric) = 2.0153940766029608750062354106488 absolute error = 8e-31 relative error = 3.9694470142952721247205025917370e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.94 y[1] (analytic) = 2.01595038925101967399476359074 y[1] (numeric) = 2.0159503892510196739947635907392 absolute error = 8e-31 relative error = 3.9683516234604450224803464901884e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.941 y[1] (analytic) = 2.0165066892174776318989401481007 y[1] (numeric) = 2.0165066892174776318989401480999 absolute error = 8e-31 relative error = 3.9672568619668042036059117432013e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.942 y[1] (analytic) = 2.0170629765080452523782652239554 y[1] (numeric) = 2.0170629765080452523782652239546 absolute error = 8e-31 relative error = 3.9661627292617609650869618874512e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.943 y[1] (analytic) = 2.0176192511284291828150824157916 y[1] (numeric) = 2.0176192511284291828150824157908 absolute error = 8e-31 relative error = 3.9650692247933797097054730284895e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.944 y[1] (analytic) = 2.0181755130843322177859659612999 y[1] (numeric) = 2.018175513084332217785965961299 absolute error = 9e-31 relative error = 4.4594733915116740982558523644429e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.945 y[1] (analytic) = 2.0187317623814533025292026604477 y[1] (numeric) = 2.0187317623814533025292026604468 absolute error = 9e-31 relative error = 4.4582446106573855302434781773226e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 15.45 Order of pole = 1.429e-25 TOP MAIN SOLVE Loop x[1] = 2.946 y[1] (analytic) = 2.0192879990254875364083738065404 y[1] (numeric) = 2.0192879990254875364083738065395 absolute error = 9e-31 relative error = 4.4570165347109566161487549332769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.947 y[1] (analytic) = 2.0198442230221261763720423888228 y[1] (numeric) = 2.0198442230221261763720423888219 absolute error = 9e-31 relative error = 4.4557891630543878942993236323279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.948 y[1] (analytic) = 2.0204004343770566404095508208929 y[1] (numeric) = 2.020400434377056640409550820892 absolute error = 9e-31 relative error = 4.4545624950704092113228902685826e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.949 y[1] (analytic) = 2.0209566330959625110029344409314 y[1] (numeric) = 2.0209566330959625110029344409305 absolute error = 9e-31 relative error = 4.4533365301424786408202122508720e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9297 Order of pole = 7.51e-28 TOP MAIN SOLVE Loop x[1] = 2.95 y[1] (analytic) = 2.0215128191845235385749560214964 y[1] (numeric) = 2.0215128191845235385749560214955 absolute error = 9e-31 relative error = 4.4521112676547814039673950694909e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.951 y[1] (analytic) = 2.0220689926484156449332665183963 y[1] (numeric) = 2.0220689926484156449332665183954 absolute error = 9e-31 relative error = 4.4508867069922287920434769834010e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.952 y[1] (analytic) = 2.022625153493310926710697279929 y[1] (numeric) = 2.0226251534933109267106972799281 absolute error = 9e-31 relative error = 4.4496628475404570908792890937053e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.953 y[1] (analytic) = 2.0231813017248776588016889295673 y[1] (numeric) = 2.0231813017248776588016889295664 absolute error = 9e-31 relative error = 4.4484396886858265072235877348998e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.954 y[1] (analytic) = 2.0237374373487802977948621269765 y[1] (numeric) = 2.0237374373487802977948621269756 absolute error = 9e-31 relative error = 4.4472172298154200970224656554412e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.955 y[1] (analytic) = 2.0242935603706794854017354040716 y[1] (numeric) = 2.0242935603706794854017354040707 absolute error = 9e-31 relative error = 4.4459954703170426956080579736176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.956 y[1] (analytic) = 2.0248496707962320518815952646561 y[1] (numeric) = 2.0248496707962320518815952646552 absolute error = 9e-31 relative error = 4.4447744095792198497925683836421e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.957 y[1] (analytic) = 2.0254057686310910194625237280342 y[1] (numeric) = 2.0254057686310910194625237280333 absolute error = 9e-31 relative error = 4.4435540469911967518636505503924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.958 y[1] (analytic) = 2.0259618538809056057585884888551 y[1] (numeric) = 2.0259618538809056057585884888542 absolute error = 9e-31 relative error = 4.4423343819429371754771890693502e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.959 y[1] (analytic) = 2.026517926551321227183200857325 y[1] (numeric) = 2.0265179265513212271832008573241 absolute error = 9e-31 relative error = 4.4411154138251224134435337811579e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.96 y[1] (analytic) = 2.0270739866479795023586466358177 y[1] (numeric) = 2.0270739866479795023586466358168 absolute error = 9e-31 relative error = 4.4398971420291502174032506178482e-29 % Correct digits = 30 h = 0.001 memory used=347.1MB, alloc=4.4MB, time=40.69 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.961 y[1] (analytic) = 2.0276300341765182555217950798229 y[1] (numeric) = 2.027630034176518255521795079822 absolute error = 9e-31 relative error = 4.4386795659471337393884615203179e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.406 Order of pole = 8.021e-27 TOP MAIN SOLVE Loop x[1] = 2.962 y[1] (analytic) = 2.0281860691425715199259910830944 y[1] (numeric) = 2.0281860691425715199259910830935 absolute error = 9e-31 relative error = 4.4374626849719004752658553040660e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.963 y[1] (analytic) = 2.0287420915517695412391357187972 y[1] (numeric) = 2.0287420915517695412391357187964 absolute error = 8e-31 relative error = 3.9433302208862144089399650334978e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.964 y[1] (analytic) = 2.0292981014097387809379602604063 y[1] (numeric) = 2.0292981014097387809379602604055 absolute error = 8e-31 relative error = 3.9422497830370301912313615876870e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.965 y[1] (analytic) = 2.0298540987221019196984987980728 y[1] (numeric) = 2.029854098722101919698498798072 absolute error = 8e-31 relative error = 3.9411699614452159531430278521407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.966 y[1] (analytic) = 2.0304100834944778607827645581584 y[1] (numeric) = 2.0304100834944778607827645581575 absolute error = 9e-31 relative error = 4.4326021000202924996412047387813e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.967 y[1] (analytic) = 2.0309660557324817334216350256296 y[1] (numeric) = 2.0309660557324817334216350256287 absolute error = 9e-31 relative error = 4.4313886854963160544712490378483e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.968 y[1] (analytic) = 2.0315220154417248961939509610167 y[1] (numeric) = 2.0315220154417248961939509610158 absolute error = 9e-31 relative error = 4.4301759624510300878355886012722e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.969 y[1] (analytic) = 2.0320779626278149404018343956629 y[1] (numeric) = 2.032077962627814940401834395662 absolute error = 9e-31 relative error = 4.4289639302822330760890293115296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.97 y[1] (analytic) = 2.032633897296355693442230681029 y[1] (numeric) = 2.0326338972963556934422306810281 absolute error = 9e-31 relative error = 4.4277525883884294542380718711967e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.971 y[1] (analytic) = 2.0331898194529472221746796598708 y[1] (numeric) = 2.0331898194529472221746796598699 absolute error = 9e-31 relative error = 4.4265419361688285761441740396731e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.972 y[1] (analytic) = 2.0337457291031858362853210191727 y[1] (numeric) = 2.0337457291031858362853210191718 absolute error = 9e-31 relative error = 4.4253319730233436765700106881440e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.973 y[1] (analytic) = 2.0343016262526640916471388768016 y[1] (numeric) = 2.0343016262526640916471388768007 absolute error = 9e-31 relative error = 4.4241226983525908350649146289966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.974 y[1] (analytic) = 2.0348575109069707936764506459405 y[1] (numeric) = 2.0348575109069707936764506459396 absolute error = 9e-31 relative error = 4.4229141115578879416856902183886e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.975 y[1] (analytic) = 2.0354133830716910006856452134697 y[1] (numeric) = 2.0354133830716910006856452134688 absolute error = 9e-31 relative error = 4.4217062120412536645490007490432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.976 y[1] (analytic) = 2.0359692427524060272321754605864 y[1] (numeric) = 2.0359692427524060272321754605855 absolute error = 9e-31 relative error = 4.4204989992054064192115396446832e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.977 y[1] (analytic) = 2.0365250899546934474638101460917 y[1] (numeric) = 2.0365250899546934474638101460908 absolute error = 9e-31 relative error = 4.4192924724537633398742044378823e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.208 Order of pole = 4.315e-27 TOP MAIN SOLVE Loop x[1] = 2.978 y[1] (analytic) = 2.0370809246841270984601501649239 y[1] (numeric) = 2.037080924684127098460150164923 absolute error = 9e-31 relative error = 4.4180866311904392524065014595932e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.098 Order of pole = 8.285e-27 TOP MAIN SOLVE Loop x[1] = 2.979 y[1] (analytic) = 2.037636746946277083570414186683 y[1] (numeric) = 2.0376367469462770835704141866821 absolute error = 9e-31 relative error = 4.4168814748202456491874180912561e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.98 y[1] (analytic) = 2.0381925567467097757474986710704 y[1] (numeric) = 2.0381925567467097757474986710695 absolute error = 9e-31 relative error = 4.4156770027486896657590083292923e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.981 y[1] (analytic) = 2.0387483540909878208783172493608 y[1] (numeric) = 2.0387483540909878208783172493599 absolute error = 9e-31 relative error = 4.4144732143819730592889462869941e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.6694 Order of pole = 2.018e-27 TOP MAIN SOLVE Loop x[1] = 2.982 y[1] (analytic) = 2.0393041389846701411104244532306 y[1] (numeric) = 2.0393041389846701411104244532296 absolute error = 1.0e-30 relative error = 4.9036334545855457653759012338058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.983 y[1] (analytic) = 2.0398599114333119381749287644873 y[1] (numeric) = 2.0398599114333119381749287644864 absolute error = 9e-31 relative error = 4.4120676863913319974308756129955e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.887 Order of pole = 7.411e-27 TOP MAIN SOLVE Loop x[1] = 2.984 y[1] (analytic) = 2.0404156714424646967056999514822 y[1] (numeric) = 2.0404156714424646967056999514813 absolute error = 9e-31 relative error = 4.4108659455832749959201797379516e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.985 y[1] (analytic) = 2.0409714190176761875548756502323 y[1] (numeric) = 2.0409714190176761875548756502314 absolute error = 9e-31 relative error = 4.4096648861117902486506787392069e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.986 y[1] (analytic) = 2.0415271541644904711046721405449 y[1] (numeric) = 2.041527154164490471104672140544 absolute error = 9e-31 relative error = 4.4084645073865373609092647287613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.987 y[1] (analytic) = 2.0420828768884479005755042597125 y[1] (numeric) = 2.0420828768884479005755042597115 absolute error = 1.0e-30 relative error = 4.8969608986865160757371877483759e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.988 y[1] (analytic) = 2.0426385871950851253304193886351 y[1] (numeric) = 2.0426385871950851253304193886341 absolute error = 1.0e-30 relative error = 4.8956286553520080300918455953768e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.989 y[1] (analytic) = 2.0431942850899350941758504375331 y[1] (numeric) = 2.0431942850899350941758504375321 absolute error = 1.0e-30 relative error = 4.8942971664389864537095217109447e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.99 y[1] (analytic) = 2.0437499705785270586586927507289 y[1] (numeric) = 2.0437499705785270586586927507279 absolute error = 1.0e-30 relative error = 4.8929664312945709902016200131433e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.991 y[1] (analytic) = 2.0443056436663865763597098423086 y[1] (numeric) = 2.0443056436663865763597098423076 absolute error = 1.0e-30 relative error = 4.8916364492666418442092198708578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=350.9MB, alloc=4.4MB, time=41.13 x[1] = 2.992 y[1] (analytic) = 2.0448613043590355141832728668203 y[1] (numeric) = 2.0448613043590355141832728668193 absolute error = 1.0e-30 relative error = 4.8903072197038386681992104107042e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.993 y[1] (analytic) = 2.0454169526619920516434387215213 y[1] (numeric) = 2.0454169526619920516434387215203 absolute error = 1.0e-30 relative error = 4.8889787419555594512212105772970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.994 y[1] (analytic) = 2.045972588580770684146371669063 y[1] (numeric) = 2.045972588580770684146371669062 absolute error = 1.0e-30 relative error = 4.8876510153719594096212392569634e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.018 Order of pole = 2.012e-27 TOP MAIN SOLVE Loop x[1] = 2.995 y[1] (analytic) = 2.0465282121208822262691133618839 y[1] (numeric) = 2.0465282121208822262691133618828 absolute error = 1.1e-30 relative error = 5.3749564432343448676789202035808e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.996 y[1] (analytic) = 2.0470838232878338150347061419828 y[1] (numeric) = 2.0470838232878338150347061419817 absolute error = 1.1e-30 relative error = 5.3734975944135169336053814162632e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.997 y[1] (analytic) = 2.0476394220871289131836744821573 y[1] (numeric) = 2.0476394220871289131836744821562 absolute error = 1.1e-30 relative error = 5.3720395697343338365895913132793e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.83 Order of pole = 8.71e-28 TOP MAIN SOLVE Loop x[1] = 2.998 y[1] (analytic) = 2.0481950085242673124418694272174 y[1] (numeric) = 2.0481950085242673124418694272163 absolute error = 1.1e-30 relative error = 5.3705823684852859554604135943646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 2.999 y[1] (analytic) = 2.0487505826047451367846808861246 y[1] (numeric) = 2.0487505826047451367846808861236 absolute error = 1.0e-30 relative error = 4.8810236272324459546633359894868e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.09 Order of pole = 5.302e-26 TOP MAIN SOLVE Loop x[1] = 3 y[1] (analytic) = 2.0493061443340548456976226184613 y[1] (numeric) = 2.0493061443340548456976226184602 absolute error = 1.1e-30 relative error = 5.3676704334356905541990846984151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.001 y[1] (analytic) = 2.0498616937176852374332947510991 y[1] (numeric) = 2.049861693717685237433294751098 absolute error = 1.1e-30 relative error = 5.3662156982162533696888761888874e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.002 y[1] (analytic) = 2.0504172307611214522647286534189 y[1] (numeric) = 2.0504172307611214522647286534178 absolute error = 1.1e-30 relative error = 5.3647617835891696638836258955295e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.41 Order of pole = 2.338e-26 TOP MAIN SOLVE Loop x[1] = 3.003 y[1] (analytic) = 2.0509727554698449757351189919242 y[1] (numeric) = 2.0509727554698449757351189919231 absolute error = 1.1e-30 relative error = 5.3633086888470521682910916671060e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.004 y[1] (analytic) = 2.0515282678493336419039477775994 y[1] (numeric) = 2.0515282678493336419039477775982 absolute error = 1.2e-30 relative error = 5.8492979054000012505923144242627e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.005 y[1] (analytic) = 2.0520837679050616365895052118834 y[1] (numeric) = 2.0520837679050616365895052118822 absolute error = 1.2e-30 relative error = 5.8477144976642943964361944883494e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.244 Order of pole = 6.09e-28 TOP MAIN SOLVE Loop x[1] = 3.006 y[1] (analytic) = 2.0526392556424995006078121296632 y[1] (numeric) = 2.052639255642499500607812129662 absolute error = 1.2e-30 relative error = 5.8461319820388327909341727077835e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.007 y[1] (analytic) = 2.0531947310671141330079488302364 y[1] (numeric) = 2.0531947310671141330079488302352 absolute error = 1.2e-30 relative error = 5.8445503577554953650998546050642e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.008 y[1] (analytic) = 2.0537501941843687943037950797545 y[1] (numeric) = 2.0537501941843687943037950797533 absolute error = 1.2e-30 relative error = 5.8429696240470513305576570642985e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.009 y[1] (analytic) = 2.0543056449997231097021860612294 y[1] (numeric) = 2.0543056449997231097021860612282 absolute error = 1.2e-30 relative error = 5.8413897801471588830472557286592e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.01 y[1] (analytic) = 2.054861083518633072327489040773 y[1] (numeric) = 2.0548610835186330723274890407718 absolute error = 1.2e-30 relative error = 5.8398108252903639082001774563863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.011 y[1] (analytic) = 2.0554165097465510464426055113391 y[1] (numeric) = 2.0554165097465510464426055113379 absolute error = 1.2e-30 relative error = 5.8382327587120986895838847789217e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.012 y[1] (analytic) = 2.0559719236889257706664035678477 y[1] (numeric) = 2.0559719236889257706664035678465 absolute error = 1.2e-30 relative error = 5.8366555796486806190087102043024e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.013 y[1] (analytic) = 2.0565273253512023611875852602002 y[1] (numeric) = 2.0565273253512023611875852601991 absolute error = 1.1e-30 relative error = 5.3488226800592016666685916564163e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.014 y[1] (analytic) = 2.0570827147388223149749936633301 y[1] (numeric) = 2.0570827147388223149749936633289 absolute error = 1.2e-30 relative error = 5.8335038810160733080819105693613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.015 y[1] (analytic) = 2.0576380918572235129843643960857 y[1] (numeric) = 2.0576380918572235129843643960845 absolute error = 1.2e-30 relative error = 5.8319293599239328169150571170273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.016 y[1] (analytic) = 2.0581934567118402233615263134088 y[1] (numeric) = 2.0581934567118402233615263134077 absolute error = 1.1e-30 relative error = 5.3444927463590065411605057527938e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.017 y[1] (analytic) = 2.0587488093081031046420560889468 y[1] (numeric) = 2.0587488093081031046420560889457 absolute error = 1.1e-30 relative error = 5.3430510561882682703363145811274e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.018 y[1] (analytic) = 2.0593041496514392089473913979292 y[1] (numeric) = 2.059304149651439208947391397928 absolute error = 1.2e-30 relative error = 5.8272111004249359235228353866971e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.019 y[1] (analytic) = 2.0598594777472719851774074028427 y[1] (numeric) = 2.0598594777472719851774074028416 absolute error = 1.1e-30 relative error = 5.3401701032683796447856414849742e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.02 y[1] (analytic) = 2.0604147936010212821994612371554 y[1] (numeric) = 2.0604147936010212821994612371543 absolute error = 1.1e-30 relative error = 5.3387308391312395055918902093067e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.021 y[1] (analytic) = 2.0609700972181033520339091750682 y[1] (numeric) = 2.060970097218103352033909175067 absolute error = 1.2e-30 relative error = 5.8225007806748848052377902130509e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.022 y[1] (analytic) = 2.0615253886039308530361011680168 y[1] (numeric) = 2.0615253886039308530361011680157 absolute error = 1.1e-30 relative error = 5.3358547320386008750929875797309e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.023 y[1] (analytic) = 2.0620806677639128530748574214025 y[1] (numeric) = 2.0620806677639128530748574214013 absolute error = 1.2e-30 relative error = 5.8193649683999061050824304278296e-29 % Correct digits = 30 h = 0.001 memory used=354.7MB, alloc=4.4MB, time=41.59 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.024 y[1] (analytic) = 2.0626359347034548327074316777928 y[1] (numeric) = 2.0626359347034548327074316777916 absolute error = 1.2e-30 relative error = 5.8177983802678391685980974543798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.025 y[1] (analytic) = 2.0631911894279586883509658656226 y[1] (numeric) = 2.0631911894279586883509658656214 absolute error = 1.2e-30 relative error = 5.8162326698027076033074300326615e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.293 Order of pole = 5.05e-28 TOP MAIN SOLVE Loop x[1] = 3.026 y[1] (analytic) = 2.063746431942822735450440765211 y[1] (numeric) = 2.0637464319428227354504407652098 absolute error = 1.2e-30 relative error = 5.8146678362530861548892339330457e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.027 y[1] (analytic) = 2.0643016622534417116431273367214 y[1] (numeric) = 2.0643016622534417116431273367202 absolute error = 1.2e-30 relative error = 5.8131038788684156002875349090828e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.028 y[1] (analytic) = 2.0648568803652067799195433475082 y[1] (numeric) = 2.064856880365206779919543347507 absolute error = 1.2e-30 relative error = 5.8115407968990014936015608004970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.029 y[1] (analytic) = 2.0654120862835055317809199291264 y[1] (numeric) = 2.0654120862835055317809199291252 absolute error = 1.2e-30 relative error = 5.8099785895960129141612969213905e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.03 y[1] (analytic) = 2.0659672800137219903931826871241 y[1] (numeric) = 2.0659672800137219903931826871229 absolute error = 1.2e-30 relative error = 5.8084172562114812167841639351243e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.832 Order of pole = 1.005e-26 TOP MAIN SOLVE Loop x[1] = 3.031 y[1] (analytic) = 2.0665224615612366137374519795945 y[1] (numeric) = 2.0665224615612366137374519795933 absolute error = 1.2e-30 relative error = 5.8068567959982987842083777850398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.032 y[1] (analytic) = 2.067077630931426297757066973335 y[1] (numeric) = 2.0670776309314262977570669733338 absolute error = 1.2e-30 relative error = 5.8052972082102177816985615906932e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.033 y[1] (analytic) = 2.0676327881296643795011380793406 y[1] (numeric) = 2.0676327881296643795011380793394 absolute error = 1.2e-30 relative error = 5.8037384921018489138191897326939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.034 y[1] (analytic) = 2.068187933161320640264632362256 y[1] (numeric) = 2.0681879331613206402646323622549 absolute error = 1.1e-30 relative error = 5.3186655930179385014238334159837e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.035 y[1] (analytic) = 2.0687430660317613087249965113167 y[1] (numeric) = 2.0687430660317613087249965113156 absolute error = 1.1e-30 relative error = 5.3172383659513943481150605997613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.036 y[1] (analytic) = 2.0692981867463490640753219532282 y[1] (numeric) = 2.0692981867463490640753219532271 absolute error = 1.1e-30 relative error = 5.3158119358794763553984613928106e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.037 y[1] (analytic) = 2.0698532953104430391540566803672 y[1] (numeric) = 2.0698532953104430391540566803661 absolute error = 1.1e-30 relative error = 5.3143863021220476232498123375656e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.711 Order of pole = 2.797e-27 TOP MAIN SOLVE Loop x[1] = 3.038 y[1] (analytic) = 2.0704083917293988235712683606308 y[1] (numeric) = 2.0704083917293988235712683606297 absolute error = 1.1e-30 relative error = 5.3129614639997525775479224340197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.039 y[1] (analytic) = 2.0709634760085684668314632882176 y[1] (numeric) = 2.0709634760085684668314632882165 absolute error = 1.1e-30 relative error = 5.3115374208340158422888128589065e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.04 y[1] (analytic) = 2.0715185481533004814529657275953 y[1] (numeric) = 2.0715185481533004814529657275941 absolute error = 1.2e-30 relative error = 5.7928518239422266695552493764407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.041 y[1] (analytic) = 2.0720736081689398460838621958887 y[1] (numeric) = 2.0720736081689398460838621958875 absolute error = 1.2e-30 relative error = 5.7913000545401564036331875507051e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.042 y[1] (analytic) = 2.0726286560608280086145152219197 y[1] (numeric) = 2.0726286560608280086145152219185 absolute error = 1.2e-30 relative error = 5.7897491501477248169528984886283e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.043 y[1] (analytic) = 2.0731836918343028892866511131333 y[1] (numeric) = 2.0731836918343028892866511131321 absolute error = 1.2e-30 relative error = 5.7881991100280601034002475503464e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.044 y[1] (analytic) = 2.0737387154946988837990262546668 y[1] (numeric) = 2.0737387154946988837990262546656 absolute error = 1.2e-30 relative error = 5.7866499334451354624919475072504e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.045 y[1] (analytic) = 2.0742937270473468664096764578473 y[1] (numeric) = 2.0742937270473468664096764578461 absolute error = 1.2e-30 relative error = 5.7851016196637678818219637209623e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.046 y[1] (analytic) = 2.0748487264975741930347538684477 y[1] (numeric) = 2.0748487264975741930347538684465 absolute error = 1.2e-30 relative error = 5.7835541679496169216192207425791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.047 y[1] (analytic) = 2.0754037138507047043439559380863 y[1] (numeric) = 2.0754037138507047043439559380851 absolute error = 1.2e-30 relative error = 5.7820075775691835014123321410596e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.048 y[1] (analytic) = 2.0759586891120587288525509552244 y[1] (numeric) = 2.0759586891120587288525509552232 absolute error = 1.2e-30 relative error = 5.7804618477898086887970852858328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.049 y[1] (analytic) = 2.0765136522869530860100046252937 y[1] (numeric) = 2.0765136522869530860100046252925 absolute error = 1.2e-30 relative error = 5.7789169778796724903024226990593e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.05 y[1] (analytic) = 2.077068603380701089285212182581 y[1] (numeric) = 2.0770686033807010892852121825798 absolute error = 1.2e-30 relative error = 5.7773729671077926443506714575167e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.051 y[1] (analytic) = 2.0776235423986125492483405095991 y[1] (numeric) = 2.0776235423986125492483405095979 absolute error = 1.2e-30 relative error = 5.7758298147440234163077819629167e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.052 y[1] (analytic) = 2.078178469345993776649284732791 y[1] (numeric) = 2.0781784693459937766492847327897 absolute error = 1.3e-30 relative error = 6.2554781467306422619209594803635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.053 y[1] (analytic) = 2.0787333842281475854927437565426 y[1] (numeric) = 2.0787333842281475854927437565414 absolute error = 1.2e-30 relative error = 5.7727460823244092950281834905176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.054 y[1] (analytic) = 2.0792882870503732961099191906209 y[1] (numeric) = 2.0792882870503732961099191906197 absolute error = 1.2e-30 relative error = 5.7712055008124447518692631593102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=358.5MB, alloc=4.4MB, time=42.04 TOP MAIN SOLVE Loop x[1] = 3.055 y[1] (analytic) = 2.0798431778179667382268421193041 y[1] (numeric) = 2.0798431778179667382268421193029 absolute error = 1.2e-30 relative error = 5.7696657747963491314377999734244e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.438 Order of pole = 2.36e-28 TOP MAIN SOLVE Loop x[1] = 3.056 y[1] (analytic) = 2.0803980565362202540293321536396 y[1] (numeric) = 2.0803980565362202540293321536384 absolute error = 1.2e-30 relative error = 5.7681269035501413324262970415133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.057 y[1] (analytic) = 2.0809529232104227012245932014391 y[1] (numeric) = 2.0809529232104227012245932014379 absolute error = 1.2e-30 relative error = 5.7665888863486695944263772548669e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.058 y[1] (analytic) = 2.0815077778458594560994503828096 y[1] (numeric) = 2.0815077778458594560994503828084 absolute error = 1.2e-30 relative error = 5.7650517224676103074912256582786e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.059 y[1] (analytic) = 2.0820626204478124165752325122203 y[1] (numeric) = 2.0820626204478124165752325122192 absolute error = 1.1e-30 relative error = 5.2832224602515112551082759695141e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.06 y[1] (analytic) = 2.0826174510215600052593045613186 y[1] (numeric) = 2.0826174510215600052593045613175 absolute error = 1.1e-30 relative error = 5.2818149557924375818429851218487e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.053 Order of pole = 6.401e-27 TOP MAIN SOLVE Loop x[1] = 3.061 y[1] (analytic) = 2.0831722695723771724932545099302 y[1] (numeric) = 2.0831722695723771724932545099291 absolute error = 1.1e-30 relative error = 5.2804082315563960048143496680564e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.062 y[1] (analytic) = 2.0837270761055353993977389859189 y[1] (numeric) = 2.0837270761055353993977389859178 absolute error = 1.1e-30 relative error = 5.2790022868824488918971475100458e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.063 y[1] (analytic) = 2.0842818706263027009139920878258 y[1] (numeric) = 2.0842818706263027009139920878248 absolute error = 1.0e-30 relative error = 4.7978155646458293826521299870885e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.064 y[1] (analytic) = 2.0848366531399436288420017774714 y[1] (numeric) = 2.0848366531399436288420017774703 absolute error = 1.1e-30 relative error = 5.2761927335808549996712351833577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.065 y[1] (analytic) = 2.085391423651719274875358222972 y[1] (numeric) = 2.0853914236517192748753582229709 absolute error = 1.1e-30 relative error = 5.2747891236350971878069857133126e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.066 y[1] (analytic) = 2.0859461821668872736327784659106 y[1] (numeric) = 2.0859461821668872736327784659096 absolute error = 1.0e-30 relative error = 4.7939875369229178368770663479140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.067 y[1] (analytic) = 2.0865009286907018056863117796931 y[1] (numeric) = 2.0865009286907018056863117796921 absolute error = 1.0e-30 relative error = 4.7927129398763749403380260583939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.068 y[1] (analytic) = 2.0870556632284136005862300794298 y[1] (numeric) = 2.0870556632284136005862300794288 absolute error = 1.0e-30 relative error = 4.7914390479318855402623824390584e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.069 y[1] (analytic) = 2.0876103857852699398826077370034 y[1] (numeric) = 2.0876103857852699398826077370024 absolute error = 1.0e-30 relative error = 4.7901658604933730211840505898564e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.07 y[1] (analytic) = 2.0881650963665146601435951483107 y[1] (numeric) = 2.0881650963665146601435951483097 absolute error = 1.0e-30 relative error = 4.7888933769654391213316202245270e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.071 y[1] (analytic) = 2.0887197949773881559703903930116 y[1] (numeric) = 2.0887197949773881559703903930106 absolute error = 1.0e-30 relative error = 4.7876215967533629626077142356354e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.072 y[1] (analytic) = 2.0892744816231273830089133204707 y[1] (numeric) = 2.0892744816231273830089133204697 absolute error = 1.0e-30 relative error = 4.7863505192631000822377014814191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.073 y[1] (analytic) = 2.0898291563089658609581863889434 y[1] (numeric) = 2.0898291563089658609581863889424 absolute error = 1.0e-30 relative error = 4.7850801439012814660844066398123e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.074 y[1] (analytic) = 2.0903838190401336765754265784351 y[1] (numeric) = 2.0903838190401336765754265784341 absolute error = 1.0e-30 relative error = 4.7838104700752125836254676978344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.075 y[1] (analytic) = 2.0909384698218574866778526910514 y[1] (numeric) = 2.0909384698218574866778526910504 absolute error = 1.0e-30 relative error = 4.7825414971928724245899993473555e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.076 y[1] (analytic) = 2.0914931086593605211412123460566 y[1] (numeric) = 2.0914931086593605211412123460556 absolute error = 1.0e-30 relative error = 4.7812732246629125372512282411348e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.077 y[1] (analytic) = 2.092047735557862585895032970271 y[1] (numeric) = 2.09204773555786258589503297027 absolute error = 1.0e-30 relative error = 4.7800056518946560683717737260353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.078 y[1] (analytic) = 2.0926023505225800659146010778596 y[1] (numeric) = 2.0926023505225800659146010778586 absolute error = 1.0e-30 relative error = 4.7787387782980968047982553135006e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.079 y[1] (analytic) = 2.093156953558725928209674127001 y[1] (numeric) = 2.093156953558725928209674127 absolute error = 1.0e-30 relative error = 4.7774726032838982167019157707907e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.08 y[1] (analytic) = 2.09371154467150972480992923437 y[1] (numeric) = 2.0937115446715097248099292343691 absolute error = 9e-31 relative error = 4.2985864136370532522157606881691e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.081 y[1] (analytic) = 2.0942661238661375957471530218275 y[1] (numeric) = 2.0942661238661375957471530218265 absolute error = 1.0e-30 relative error = 4.7749423466485796351882880174257e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.082 y[1] (analytic) = 2.0948206911478122720341768631766 y[1] (numeric) = 2.0948206911478122720341768631757 absolute error = 9e-31 relative error = 4.2963104374669137697923698505580e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.083 y[1] (analytic) = 2.0953752465217330786405617923312 y[1] (numeric) = 2.0953752465217330786405617923302 absolute error = 1.0e-30 relative error = 4.7724148772873654982191404014323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.084 y[1] (analytic) = 2.0959297899930959374650373277261 y[1] (numeric) = 2.0959297899930959374650373277252 absolute error = 9e-31 relative error = 4.2940369677314650409891161120881e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.085 y[1] (analytic) = 2.096484321567093370304698461311 y[1] (numeric) = 2.0964843215670933703046984613101 absolute error = 9e-31 relative error = 4.2929011714586174605083270867332e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 20.61 Order of pole = 6.014e-26 TOP MAIN SOLVE Loop x[1] = 3.086 y[1] (analytic) = 2.0970388412489145018209650539763 y[1] (numeric) = 2.0970388412489145018209650539754 memory used=362.4MB, alloc=4.4MB, time=42.49 absolute error = 9e-31 relative error = 4.2917660002138783485339395635833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.087 y[1] (analytic) = 2.0975933490437450625023078727921 y[1] (numeric) = 2.0975933490437450625023078727912 absolute error = 9e-31 relative error = 4.2906314534716357259452366911557e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.088 y[1] (analytic) = 2.0981478449567673916237454989738 y[1] (numeric) = 2.0981478449567673916237454989729 absolute error = 9e-31 relative error = 4.2894975307068726450380149169317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.089 y[1] (analytic) = 2.0987023289931604402031163290396 y[1] (numeric) = 2.0987023289931604402031163290387 absolute error = 9e-31 relative error = 4.2883642313951663430928819080030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.09 y[1] (analytic) = 2.0992568011580997739541298851826 y[1] (numeric) = 2.0992568011580997739541298851816 absolute error = 1.0e-30 relative error = 4.7635906166807637748807069676723e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.091 y[1] (analytic) = 2.0998112614567575762362016444533 y[1] (numeric) = 2.0998112614567575762362016444523 absolute error = 1.0e-30 relative error = 4.7623327789291098685398111439079e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.092 y[1] (analytic) = 2.1003657098943026510010755899296 y[1] (numeric) = 2.1003657098943026510010755899286 absolute error = 1.0e-30 relative error = 4.7610756321589505823262460603444e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.093 y[1] (analytic) = 2.1009201464759004257362386806438 y[1] (numeric) = 2.1009201464759004257362386806428 absolute error = 1.0e-30 relative error = 4.7598191757902254071744805039311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.094 y[1] (analytic) = 2.1014745712067129544051314306428 y[1] (numeric) = 2.1014745712067129544051314306418 absolute error = 1.0e-30 relative error = 4.7585634092435293612463681524889e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.095 y[1] (analytic) = 2.1020289840918989203841587811717 y[1] (numeric) = 2.1020289840918989203841587811708 absolute error = 9e-31 relative error = 4.2815774987461008531574683481973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.096 y[1] (analytic) = 2.1025833851366136393965054435991 y[1] (numeric) = 2.1025833851366136393965054435982 absolute error = 9e-31 relative error = 4.2804485489716891040092979203350e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.097 y[1] (analytic) = 2.1031377743460090624427598843383 y[1] (numeric) = 2.1031377743460090624427598843374 absolute error = 9e-31 relative error = 4.2793202184762415965777281745041e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.098 y[1] (analytic) = 2.1036921517252337787283511166704 y[1] (numeric) = 2.1036921517252337787283511166695 absolute error = 9e-31 relative error = 4.2781925067406453817249446941716e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.099 y[1] (analytic) = 2.104246517279433018587802458033 y[1] (numeric) = 2.1042465172794330185878024580321 absolute error = 9e-31 relative error = 4.2770654132463733102042621393588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.1 y[1] (analytic) = 2.1048008710137486564058064050106 y[1] (numeric) = 2.1048008710137486564058064050097 absolute error = 9e-31 relative error = 4.2759389374754832020099637562151e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.101 y[1] (analytic) = 2.1053552129333192135351247719436 y[1] (numeric) = 2.1053552129333192135351247719427 absolute error = 9e-31 relative error = 4.2748130789106170171446953219695e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.102 y[1] (analytic) = 2.1059095430432798612113182327677 y[1] (numeric) = 2.1059095430432798612113182327668 absolute error = 9e-31 relative error = 4.2736878370350000278015865306987e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.103 y[1] (analytic) = 2.1064638613487624234643093993978 y[1] (numeric) = 2.1064638613487624234643093993969 absolute error = 9e-31 relative error = 4.2725632113324399919582792744431e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.889 Order of pole = 1.018e-27 TOP MAIN SOLVE Loop x[1] = 3.104 y[1] (analytic) = 2.1070181678548953800267835636858 y[1] (numeric) = 2.1070181678548953800267835636849 absolute error = 9e-31 relative error = 4.2714392012873263283800487067361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.105 y[1] (analytic) = 2.1075724625668038692394312237091 y[1] (numeric) = 2.1075724625668038692394312237082 absolute error = 9e-31 relative error = 4.2703158063846292930292093916310e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.106 y[1] (analytic) = 2.1081267454896096909530365088804 y[1] (numeric) = 2.1081267454896096909530365088796 absolute error = 8e-31 relative error = 3.7948382454310214727804491029960e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.107 y[1] (analytic) = 2.108681016628431309427415612121 y[1] (numeric) = 2.1086810166284313094274156121202 absolute error = 8e-31 relative error = 3.7938407643993470089975007333139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.108 y[1] (analytic) = 2.1092352759883838562272093310934 y[1] (numeric) = 2.1092352759883838562272093310926 absolute error = 8e-31 relative error = 3.7928438287906096158155537874021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.109 y[1] (analytic) = 2.1097895235745791331145338142639 y[1] (numeric) = 2.1097895235745791331145338142631 absolute error = 8e-31 relative error = 3.7918474381490629793433406477147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.11 y[1] (analytic) = 2.110343759392125614938493601341 y[1] (numeric) = 2.1103437593921256149384936013402 absolute error = 8e-31 relative error = 3.7908515920194734436811706718707e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.111 y[1] (analytic) = 2.1108979834461284525215610414296 y[1] (numeric) = 2.1108979834461284525215610414289 absolute error = 7e-31 relative error = 3.3161242537037293755024345616652e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.112 y[1] (analytic) = 2.111452195741689475542826166042 y[1] (numeric) = 2.1114521957416894755428261660412 absolute error = 8e-31 relative error = 3.7888615314777899945842007500248e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.113 y[1] (analytic) = 2.112006396283907195418121087917 y[1] (numeric) = 2.1120063962839071954181210879163 absolute error = 7e-31 relative error = 3.3143839016380623508050058054939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.114 y[1] (analytic) = 2.1125605850778768081770229904267 y[1] (numeric) = 2.112560585077876808177022990426 absolute error = 7e-31 relative error = 3.3135144380921762164340008605422e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.115 y[1] (analytic) = 2.1131147621286901973367397661774 y[1] (numeric) = 2.1131147621286901973367397661767 absolute error = 7e-31 relative error = 3.3126454490093117826888470518022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.116 y[1] (analytic) = 2.1136689274414359367728823572626 y[1] (numeric) = 2.1136689274414359367728823572619 absolute error = 7e-31 relative error = 3.3117769339938177776692153016772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.117 y[1] (analytic) = 2.1142230810211992935871278434764 y[1] (numeric) = 2.1142230810211992935871278434757 absolute error = 7e-31 relative error = 3.3109088926504870894200922686408e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=366.2MB, alloc=4.4MB, time=42.95 TOP MAIN SOLVE Loop x[1] = 3.118 y[1] (analytic) = 2.1147772228730622309717773186642 y[1] (numeric) = 2.1147772228730622309717773186636 absolute error = 6e-31 relative error = 2.8371782782153338337576697821690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.119 y[1] (analytic) = 2.1153313530021034110712125892629 y[1] (numeric) = 2.1153313530021034110712125892622 absolute error = 7e-31 relative error = 3.3091742294017042569166255186922e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.12 y[1] (analytic) = 2.1158854714133981978402557229696 y[1] (numeric) = 2.1158854714133981978402557229689 absolute error = 7e-31 relative error = 3.3083076067080530548648402538505e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.121 y[1] (analytic) = 2.1164395781120186598994354693783 y[1] (numeric) = 2.1164395781120186598994354693776 absolute error = 7e-31 relative error = 3.3074414561101658062031864495797e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.122 y[1] (analytic) = 2.1169936731030335733871645683274 y[1] (numeric) = 2.1169936731030335733871645683267 absolute error = 7e-31 relative error = 3.3065757772150468217285469200208e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.123 y[1] (analytic) = 2.1175477563915084248088319556254 y[1] (numeric) = 2.1175477563915084248088319556247 absolute error = 7e-31 relative error = 3.3057105696301408288098117190464e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.124 y[1] (analytic) = 2.118101827982505413882813869746 y[1] (numeric) = 2.1181018279825054138828138697453 absolute error = 7e-31 relative error = 3.3048458329633323511908138284821e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.125 y[1] (analytic) = 2.1186558878810834563834078570288 y[1] (numeric) = 2.1186558878810834563834078570281 absolute error = 7e-31 relative error = 3.3039815668229450898443953432554e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.126 y[1] (analytic) = 2.1192099360922981869806936668674 y[1] (numeric) = 2.1192099360922981869806936668667 absolute error = 7e-31 relative error = 3.3031177708177413048755222815191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.127 y[1] (analytic) = 2.1197639726212019620773250223318 y[1] (numeric) = 2.1197639726212019620773250223311 absolute error = 7e-31 relative error = 3.3022544445569211984713708645670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.128 y[1] (analytic) = 2.1203179974728438626422562456392 y[1] (numeric) = 2.1203179974728438626422562456385 absolute error = 7e-31 relative error = 3.3013915876501222988963128161141e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.129 y[1] (analytic) = 2.1208720106522696970414077118728 y[1] (numeric) = 2.1208720106522696970414077118721 absolute error = 7e-31 relative error = 3.3005291997074188455297319232597e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.274 Order of pole = 8.53e-28 TOP MAIN SOLVE Loop x[1] = 3.13 y[1] (analytic) = 2.121426012164522003865274098337 y[1] (numeric) = 2.1214260121645220038652740983363 absolute error = 7e-31 relative error = 3.2996672803393211749446087822506e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.131 y[1] (analytic) = 2.1219800020146400547534793909418 y[1] (numeric) = 2.1219800020146400547534793909411 absolute error = 7e-31 relative error = 3.2988058291567751080248153210279e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.132 y[1] (analytic) = 2.1225339802076598572162826030213 y[1] (numeric) = 2.1225339802076598572162826030206 absolute error = 7e-31 relative error = 3.2979448457711613381190653475136e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.133 y[1] (analytic) = 2.1230879467486141574530381560146 y[1] (numeric) = 2.1230879467486141574530381560139 absolute error = 7e-31 relative error = 3.2970843297942948202294720177125e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.134 y[1] (analytic) = 2.1236419016425324431676148654708 y[1] (numeric) = 2.12364190164253244316761486547 absolute error = 8e-31 relative error = 3.7671134638153418985516202868483e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.135 y[1] (analytic) = 2.1241958448944409463807774698824 y[1] (numeric) = 2.1241958448944409463807774698817 absolute error = 7e-31 relative error = 3.2953646985162310111314467414090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.136 y[1] (analytic) = 2.1247497765093626462395346339087 y[1] (numeric) = 2.124749776509362646239534633908 absolute error = 7e-31 relative error = 3.2945055824408294553348948236791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.137 y[1] (analytic) = 2.12530369649231727182345735161 y[1] (numeric) = 2.1253036964923172718234573516092 absolute error = 8e-31 relative error = 3.7641679225437318948171154861977e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.138 y[1] (analytic) = 2.1258576048483213049479716693932 y[1] (numeric) = 2.1258576048483213049479716693924 absolute error = 8e-31 relative error = 3.7631871399828754356429141984231e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.139 y[1] (analytic) = 2.1264115015823879829646296424508 y[1] (numeric) = 2.12641150158238798296462964245 absolute error = 8e-31 relative error = 3.7622068889519874349323403404432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.14 y[1] (analytic) = 2.126965386699527301558362432571 y[1] (numeric) = 2.1269653866995273015583624325702 absolute error = 8e-31 relative error = 3.7612271690108824873531903271192e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.141 y[1] (analytic) = 2.1275192602047460175417194493023 y[1] (numeric) = 2.1275192602047460175417194493015 absolute error = 8e-31 relative error = 3.7602479797198659443313623432534e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.142 y[1] (analytic) = 2.1280731221030476516460974305707 y[1] (numeric) = 2.1280731221030476516460974305699 absolute error = 8e-31 relative error = 3.7592693206397332265177941685653e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.143 y[1] (analytic) = 2.1286269723994324913099633529734 y[1] (numeric) = 2.1286269723994324913099633529726 absolute error = 8e-31 relative error = 3.7582911913317691374146795819563e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.144 y[1] (analytic) = 2.1291808110988975934640750561087 y[1] (numeric) = 2.1291808110988975934640750561079 absolute error = 8e-31 relative error = 3.7573135913577471781586790218589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.145 y[1] (analytic) = 2.1297346382064367873137034594458 y[1] (numeric) = 2.129734638206436787313703459445 absolute error = 8e-31 relative error = 3.7563365202799288634588453284970e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.146 y[1] (analytic) = 2.1302884537270406771178602443966 y[1] (numeric) = 2.1302884537270406771178602443958 absolute error = 8e-31 relative error = 3.7553599776610630386869905298449e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.099 Order of pole = 4.694e-27 TOP MAIN SOLVE Loop x[1] = 3.147 y[1] (analytic) = 2.1308422576656966449655348684154 y[1] (numeric) = 2.1308422576656966449655348684146 absolute error = 8e-31 relative error = 3.7543839630643851981182247560107e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.148 y[1] (analytic) = 2.1313960500273888535489447721286 y[1] (numeric) = 2.1313960500273888535489447721277 absolute error = 9e-31 relative error = 4.2225845355603189048593289113090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.149 y[1] (analytic) = 2.1319498308170982489338026346826 y[1] (numeric) = 2.1319498308170982489338026346817 absolute error = 9e-31 relative error = 4.2214877057170851847686273977563e-29 % Correct digits = 30 h = 0.001 memory used=370.0MB, alloc=4.4MB, time=43.41 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.15 y[1] (analytic) = 2.1325036000398025633266045266951 y[1] (numeric) = 2.1325036000398025633266045266942 absolute error = 9e-31 relative error = 4.2203914684280099697439350930993e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.151 y[1] (analytic) = 2.1330573577004763178389428043978 y[1] (numeric) = 2.1330573577004763178389428043969 absolute error = 9e-31 relative error = 4.2192958232039154669055110097820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.152 y[1] (analytic) = 2.1336111038040908252488475827774 y[1] (numeric) = 2.1336111038040908252488475827765 absolute error = 9e-31 relative error = 4.2182007695561675478130736402842e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.153 y[1] (analytic) = 2.1341648383556141927591606197468 y[1] (numeric) = 2.1341648383556141927591606197459 absolute error = 9e-31 relative error = 4.2171063069966749891967868882452e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.154 y[1] (analytic) = 2.1347185613600113247529454376125 y[1] (numeric) = 2.1347185613600113247529454376115 absolute error = 1.0e-30 relative error = 4.6844582611532096832938689849365e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.155 y[1] (analytic) = 2.1352722728222439255459375023514 y[1] (numeric) = 2.1352722728222439255459375023504 absolute error = 1.0e-30 relative error = 4.6832435035475567105362323952561e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.011 Order of pole = 3.643e-27 TOP MAIN SOLVE Loop x[1] = 3.156 y[1] (analytic) = 2.1358259727472705021360382754661 y[1] (numeric) = 2.1358259727472705021360382754651 absolute error = 1.0e-30 relative error = 4.6820294010832721245871284358800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.157 y[1] (analytic) = 2.136379661140046366949856947451 y[1] (numeric) = 2.1363796611400463669498569474501 absolute error = 9e-31 relative error = 4.2127343578983931631108575895826e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.158 y[1] (analytic) = 2.1369333380055236405863036561791 y[1] (numeric) = 2.1369333380055236405863036561781 absolute error = 1.0e-30 relative error = 4.6796031594197308339530591179074e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.159 y[1] (analytic) = 2.137487003348651254557237987802 y[1] (numeric) = 2.1374870033486512545572379878011 absolute error = 9e-31 relative error = 4.2105519172281890088666930809018e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.16 y[1] (analytic) = 2.1380406571743749540251765520541 y[1] (numeric) = 2.1380406571743749540251765520532 absolute error = 9e-31 relative error = 4.2094615786653748983172297748116e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.161 y[1] (analytic) = 2.1385942994876373005380634181516 y[1] (numeric) = 2.1385942994876373005380634181506 absolute error = 1.0e-30 relative error = 4.6759686970061558399354137540201e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.162 y[1] (analytic) = 2.1391479302933776747611071917957 y[1] (numeric) = 2.1391479302933776747611071917948 absolute error = 9e-31 relative error = 4.2072826626654460476534185767578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.163 y[1] (analytic) = 2.1397015495965322792056885081126 y[1] (numeric) = 2.1397015495965322792056885081117 absolute error = 9e-31 relative error = 4.2061940842623886216261618902692e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.34 Order of pole = 1.836e-27 TOP MAIN SOLVE Loop x[1] = 3.164 y[1] (analytic) = 2.1402551574020341409553417096934 y[1] (numeric) = 2.1402551574020341409553417096925 absolute error = 9e-31 relative error = 4.2051060916141989629285173427316e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.165 y[1] (analytic) = 2.1408087537148131143888144732466 y[1] (numeric) = 2.1408087537148131143888144732457 absolute error = 9e-31 relative error = 4.2040186842392419494046142994798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.166 y[1] (analytic) = 2.1413623385397958839002091427235 y[1] (numeric) = 2.1413623385397958839002091427226 absolute error = 9e-31 relative error = 4.2029318616564156088024107229463e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.167 y[1] (analytic) = 2.1419159118819059666162095211438 y[1] (numeric) = 2.1419159118819059666162095211429 absolute error = 9e-31 relative error = 4.2018456233851503771458885656887e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.168 y[1] (analytic) = 2.142469473746063715110396867719 y[1] (numeric) = 2.1424694737460637151103968677182 absolute error = 8e-31 relative error = 3.7340088612848074296434626556099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.169 y[1] (analytic) = 2.1430230241371863201146588412551 y[1] (numeric) = 2.1430230241371863201146588412543 absolute error = 8e-31 relative error = 3.7330443536512734089495142529877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.17 y[1] (analytic) = 2.1435765630601878132276951252059 y[1] (numeric) = 2.1435765630601878132276951252051 absolute error = 8e-31 relative error = 3.7320803641271078051496540930432e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.171 y[1] (analytic) = 2.1441300905199790696206234641534 y[1] (numeric) = 2.1441300905199790696206234641526 absolute error = 8e-31 relative error = 3.7311168922870241094852603985036e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.172 y[1] (analytic) = 2.1446836065214678107396898358982 y[1] (numeric) = 2.1446836065214678107396898358974 absolute error = 8e-31 relative error = 3.7301539377062057853872136567392e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.173 y[1] (analytic) = 2.1452371110695586070060864777677 y[1] (numeric) = 2.1452371110695586070060864777669 absolute error = 8e-31 relative error = 3.7291914999603056158410001256555e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.174 y[1] (analytic) = 2.1457906041691528805128814801778 y[1] (numeric) = 2.145790604169152880512881480177 absolute error = 8e-31 relative error = 3.7282295786254450518426166169712e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.175 y[1] (analytic) = 2.1463440858251489077190636549239 y[1] (numeric) = 2.1463440858251489077190636549232 absolute error = 7e-31 relative error = 3.2613596516184368667002526984296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.176 y[1] (analytic) = 2.1468975560424418221407063801274 y[1] (numeric) = 2.1468975560424418221407063801266 absolute error = 8e-31 relative error = 3.7263072834956679828798771582357e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.177 y[1] (analytic) = 2.1474510148259236170392541182202 y[1] (numeric) = 2.1474510148259236170392541182194 absolute error = 8e-31 relative error = 3.7253469088553318712918495300102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.178 y[1] (analytic) = 2.1480044621804831481069352978224 y[1] (numeric) = 2.1480044621804831481069352978216 absolute error = 8e-31 relative error = 3.7243870489351948565177038007561e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.179 y[1] (analytic) = 2.1485578981110061361493052448403 y[1] (numeric) = 2.1485578981110061361493052448395 absolute error = 8e-31 relative error = 3.7234277033137119944737291649137e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.18 y[1] (analytic) = 2.149111322622375169764922842604 y[1] (numeric) = 2.1491113226223751697649228426032 absolute error = 8e-31 relative error = 3.7224688715698031226099989880016e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=373.8MB, alloc=4.4MB, time=43.86 x[1] = 3.181 y[1] (analytic) = 2.149664735719469708022164595358 y[1] (numeric) = 2.1496647357194697080221645953571 absolute error = 9e-31 relative error = 4.1866993724432087429353046821329e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.128 Order of pole = 1.857e-27 TOP MAIN SOLVE Loop x[1] = 3.182 y[1] (analytic) = 2.1502181374071660831331797639242 y[1] (numeric) = 2.1502181374071660831331797639233 absolute error = 9e-31 relative error = 4.1856218415367950871789973722317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.183 y[1] (analytic) = 2.1507715276903375031249902368735 y[1] (numeric) = 2.1507715276903375031249902368726 absolute error = 9e-31 relative error = 4.1845448873246366585221521402906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.184 y[1] (analytic) = 2.1513249065738540545077387950653 y[1] (numeric) = 2.1513249065738540545077387950644 absolute error = 9e-31 relative error = 4.1834685093351025584289894760398e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.185 y[1] (analytic) = 2.1518782740625827049400894219492 y[1] (numeric) = 2.1518782740625827049400894219482 absolute error = 1.0e-30 relative error = 4.6471030078856457303640636073387e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.186 y[1] (analytic) = 2.152431630161387305891783306566 y[1] (numeric) = 2.152431630161387305891783306565 absolute error = 1.0e-30 relative error = 4.6459083112666437512927793914457e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.443 Order of pole = 3.372e-27 TOP MAIN SOLVE Loop x[1] = 3.187 y[1] (analytic) = 2.15298497487512859530335418074 y[1] (numeric) = 2.152984974875128595303354180739 absolute error = 1.0e-30 relative error = 4.6447142533263577434986023197278e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.188 y[1] (analytic) = 2.1535383082086642002430066265126 y[1] (numeric) = 2.1535383082086642002430066265115 absolute error = 1.1e-30 relative error = 5.1078729168973620983076092507828e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.189 y[1] (analytic) = 2.154091630166848639560660984442 y[1] (numeric) = 2.1540916301668486395606609844409 absolute error = 1.1e-30 relative error = 5.1065608565351406468504722291973e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.19 y[1] (analytic) = 2.1546449407545333265391684879741 y[1] (numeric) = 2.154644940754533326539168487973 absolute error = 1.1e-30 relative error = 5.1052494969996862286815618339830e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.846 Order of pole = 1.324e-27 TOP MAIN SOLVE Loop x[1] = 3.191 y[1] (analytic) = 2.1551982399765665715427002436767 y[1] (numeric) = 2.1551982399765665715427002436756 absolute error = 1.1e-30 relative error = 5.1039388377189853243403360953046e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.192 y[1] (analytic) = 2.1557515278377935846623136717318 y[1] (numeric) = 2.1557515278377935846623136717307 absolute error = 1.1e-30 relative error = 5.1026288781216529603307201139266e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 17.74 Order of pole = 8.790e-26 TOP MAIN SOLVE Loop x[1] = 3.193 y[1] (analytic) = 2.1563048043430564783587000156865 y[1] (numeric) = 2.1563048043430564783587000156854 absolute error = 1.1e-30 relative error = 5.1013196176369318411959184472350e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.194 y[1] (analytic) = 2.1568580694971942701021165250815 y[1] (numeric) = 2.1568580694971942701021165250804 absolute error = 1.1e-30 relative error = 5.1000110556946914830357124988608e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.97 Order of pole = 2.243e-26 TOP MAIN SOLVE Loop x[1] = 3.195 y[1] (analytic) = 2.1574113233050428850095069092028 y[1] (numeric) = 2.1574113233050428850095069092016 absolute error = 1.2e-30 relative error = 5.5622216637004661983237539903723e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.196 y[1] (analytic) = 2.1579645657714351584788136548373 y[1] (numeric) = 2.1579645657714351584788136548362 absolute error = 1.1e-30 relative error = 5.0973960251602599829998691585250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.197 y[1] (analytic) = 2.1585177969012008388204857955598 y[1] (numeric) = 2.1585177969012008388204857955586 absolute error = 1.2e-30 relative error = 5.5593704241064736213467132823133e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.198 y[1] (analytic) = 2.1590710166991665898861857147288 y[1] (numeric) = 2.1590710166991665898861857147277 absolute error = 1.1e-30 relative error = 5.0947837819698179844181271949741e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.199 y[1] (analytic) = 2.1596242251701559936946985590382 y[1] (numeric) = 2.1596242251701559936946985590371 absolute error = 1.1e-30 relative error = 5.0934787042099021044841162173351e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.2 y[1] (analytic) = 2.1601774223189895530550478341365 y[1] (numeric) = 2.1601774223189895530550478341354 absolute error = 1.1e-30 relative error = 5.0921743215847987828285308396404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.201 y[1] (analytic) = 2.1607306081504846941868207485133 y[1] (numeric) = 2.1607306081504846941868207485122 absolute error = 1.1e-30 relative error = 5.0908706335287410755134547511838e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 18.07 Order of pole = 2.045e-26 TOP MAIN SOLVE Loop x[1] = 3.202 y[1] (analytic) = 2.1612837826694557693377068665386 y[1] (numeric) = 2.1612837826694557693377068665375 absolute error = 1.1e-30 relative error = 5.0895676394765819698904806385539e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.203 y[1] (analytic) = 2.161836945880714059398253626242 y[1] (numeric) = 2.1618369458807140593982536262409 absolute error = 1.1e-30 relative error = 5.0882653388637935309750374484016e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.994 Order of pole = 6.585e-27 TOP MAIN SOLVE Loop x[1] = 3.204 y[1] (analytic) = 2.1623900977890677765138422721262 y[1] (numeric) = 2.1623900977890677765138422721252 absolute error = 1.0e-30 relative error = 4.6245124828422418629413303554799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.205 y[1] (analytic) = 2.1629432383993220666938877480283 y[1] (numeric) = 2.1629432383993220666938877480273 absolute error = 1.0e-30 relative error = 4.6233298324557338089037131708806e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.206 y[1] (analytic) = 2.1634963677162790124182660897654 y[1] (numeric) = 2.1634963677162790124182660897644 absolute error = 1.0e-30 relative error = 4.6221478109324010391250586711576e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.207 y[1] (analytic) = 2.1640494857447376352409728520408 y[1] (numeric) = 2.1640494857447376352409728520398 absolute error = 1.0e-30 relative error = 4.6209664177612797969398167586639e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.208 y[1] (analytic) = 2.1646025924894938983910160988274 y[1] (numeric) = 2.1646025924894938983910160988265 absolute error = 9e-31 relative error = 4.1578070871887687364157855644302e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.209 y[1] (analytic) = 2.1651556879553407093705474812007 y[1] (numeric) = 2.1651556879553407093705474811997 absolute error = 1.0e-30 relative error = 4.6186055144346107853524145019826e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.21 y[1] (analytic) = 2.1657087721470679225502349213538 y[1] (numeric) = 2.1657087721470679225502349213529 absolute error = 9e-31 relative error = 4.1556834029339344039716598763164e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.211 y[1] (analytic) = 2.1662618450694623417618804163012 y[1] (numeric) = 2.1662618450694623417618804163002 absolute error = 1.0e-30 relative error = 4.6162471183991816395605030815269e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.212 y[1] (analytic) = 2.1668149067273077228882864695524 y[1] (numeric) = 2.1668149067273077228882864695515 memory used=377.6MB, alloc=4.4MB, time=44.32 absolute error = 9e-31 relative error = 4.1535619734097778535606755676313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.213 y[1] (analytic) = 2.1673679571253847764503746538332 y[1] (numeric) = 2.1673679571253847764503746538322 absolute error = 1.0e-30 relative error = 4.6138912255873534076214012058519e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.214 y[1] (analytic) = 2.16792099626847117019155980272 y[1] (numeric) = 2.167920996268471170191559802719 absolute error = 1.0e-30 relative error = 4.6127142166215817287579606432715e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.215 y[1] (analytic) = 2.1684740241613415316593833238697 y[1] (numeric) = 2.1684740241613415316593833238687 absolute error = 1.0e-30 relative error = 4.6115378319403688752185620099417e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.216 y[1] (analytic) = 2.169027040808767450784409121334 y[1] (numeric) = 2.169027040808767450784409121333 absolute error = 1.0e-30 relative error = 4.6103620710377539694542797434295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.217 y[1] (analytic) = 2.169580046215517482456385609276 y[1] (numeric) = 2.169580046215517482456385609275 absolute error = 1.0e-30 relative error = 4.6091869334083282013836187546397e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.218 y[1] (analytic) = 2.1701330403863571490976772942387 y[1] (numeric) = 2.1701330403863571490976772942377 absolute error = 1.0e-30 relative error = 4.6080124185472340714020914300606e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.219 y[1] (analytic) = 2.1706860233260489432339693979558 y[1] (numeric) = 2.1706860233260489432339693979548 absolute error = 1.0e-30 relative error = 4.6068385259501646346411341470194e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.22 y[1] (analytic) = 2.1712389950393523300622489875459 y[1] (numeric) = 2.1712389950393523300622489875449 absolute error = 1.0e-30 relative error = 4.6056652551133627464739535790646e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.221 y[1] (analytic) = 2.1717919555310237500160660747912 y[1] (numeric) = 2.1717919555310237500160660747902 absolute error = 1.0e-30 relative error = 4.6044926055336203092658983856128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.222 y[1] (analytic) = 2.1723449048058166213280781410676 y[1] (numeric) = 2.1723449048058166213280781410665 absolute error = 1.1e-30 relative error = 5.0636526343791052724036529022047e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.223 y[1] (analytic) = 2.1728978428684813425898815393714 y[1] (numeric) = 2.1728978428684813425898815393704 absolute error = 1.0e-30 relative error = 4.6021491681352221213439889913014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.224 y[1] (analytic) = 2.1734507697237652953091332197728 y[1] (numeric) = 2.1734507697237652953091332197717 absolute error = 1.1e-30 relative error = 5.0610762172441775132953273663523e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.225 y[1] (analytic) = 2.174003685376412846463966219517 y[1] (numeric) = 2.174003685376412846463966219516 absolute error = 1.0e-30 relative error = 4.5998082097402576843301666522665e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.226 y[1] (analytic) = 2.174556589831165351054702353903 y[1] (numeric) = 2.1745565898311653510547023539019 absolute error = 1.1e-30 relative error = 5.0585025248085406220515750076640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.227 y[1] (analytic) = 2.1751094830927611546528655389719 y[1] (numeric) = 2.1751094830927611546528655389709 absolute error = 1.0e-30 relative error = 4.5974697263427513637955357271382e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.228 y[1] (analytic) = 2.1756623651659355959474991719662 y[1] (numeric) = 2.1756623651659355959474991719652 absolute error = 1.0e-30 relative error = 4.5963014115185606872072432053600e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.152 Order of pole = 1.125e-27 TOP MAIN SOLVE Loop x[1] = 3.229 y[1] (analytic) = 2.1762152360554210092887909904408 y[1] (numeric) = 2.1762152360554210092887909904398 absolute error = 1.0e-30 relative error = 4.5951337139454403910607457515842e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.23 y[1] (analytic) = 2.1767680957659467272290088258501 y[1] (numeric) = 2.1767680957659467272290088258491 absolute error = 1.0e-30 relative error = 4.5939666331250901085807069149946e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.231 y[1] (analytic) = 2.1773209443022390830607506623767 y[1] (numeric) = 2.1773209443022390830607506623757 absolute error = 1.0e-30 relative error = 4.5928001685597510554113513170249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.232 y[1] (analytic) = 2.1778737816690214133525124067238 y[1] (numeric) = 2.1778737816690214133525124067228 absolute error = 1.0e-30 relative error = 4.5916343197522052898994323042608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.233 y[1] (analytic) = 2.1784266078710140604815767695538 y[1] (numeric) = 2.1784266078710140604815767695528 absolute error = 1.0e-30 relative error = 4.5904690862057749745932820727164e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.815 Order of pole = 1.215e-26 TOP MAIN SOLVE Loop x[1] = 3.234 y[1] (analytic) = 2.1789794229129343751642266542284 y[1] (numeric) = 2.1789794229129343751642266542273 absolute error = 1.1e-30 relative error = 5.0482349141667538028511685694582e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.235 y[1] (analytic) = 2.1795322267994967189832864434832 y[1] (numeric) = 2.1795322267994967189832864434822 absolute error = 1.0e-30 relative error = 4.5881404629122454432877023806404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.236 y[1] (analytic) = 2.180085019535412466912994569661 y[1] (numeric) = 2.1800850195354124669129945696599 absolute error = 1.1e-30 relative error = 5.0456747793919328882490181259925e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.237 y[1] (analytic) = 2.180637801125390009841210749118 y[1] (numeric) = 2.1806378011253900098412107491169 absolute error = 1.1e-30 relative error = 5.0443957241881652451924474990883e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.238 y[1] (analytic) = 2.1811905715741347570889612564317 y[1] (numeric) = 2.1811905715741347570889612564306 absolute error = 1.1e-30 relative error = 5.0431173430487798717325195488507e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.239 y[1] (analytic) = 2.1817433308863491389273256090422 y[1] (numeric) = 2.1817433308863491389273256090411 absolute error = 1.1e-30 relative error = 5.0418396354309788496184336346867e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.29 Order of pole = 2.148e-27 TOP MAIN SOLVE Loop x[1] = 3.24 y[1] (analytic) = 2.1822960790667326090916680279879 y[1] (numeric) = 2.1822960790667326090916680279868 absolute error = 1.1e-30 relative error = 5.0405626007925527260039718264368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.241 y[1] (analytic) = 2.1828488161199816472932170354238 y[1] (numeric) = 2.1828488161199816472932170354227 absolute error = 1.1e-30 relative error = 5.0392862385918797117059282129559e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.18 Order of pole = 6.760e-27 TOP MAIN SOLVE Loop x[1] = 3.242 y[1] (analytic) = 2.1834015420507897617279965446488 y[1] (numeric) = 2.1834015420507897617279965446477 absolute error = 1.1e-30 relative error = 5.0380105482879248807773000396010e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.243 y[1] (analytic) = 2.1839542568638474915831117934164 y[1] (numeric) = 2.1839542568638474915831117934152 absolute error = 1.2e-30 relative error = 5.4946205774620793142466046128022e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=381.4MB, alloc=4.4MB, time=44.78 TOP MAIN SOLVE Loop x[1] = 3.244 y[1] (analytic) = 2.1845069605638424095403934663574 y[1] (numeric) = 2.1845069605638424095403934663562 absolute error = 1.2e-30 relative error = 5.4932303795006831869566782100994e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.69 Order of pole = 1.600e-27 TOP MAIN SOLVE Loop x[1] = 3.245 y[1] (analytic) = 2.1850596531554591242774033474088 y[1] (numeric) = 2.1850596531554591242774033474075 absolute error = 1.3e-30 relative error = 5.9494943221465893877752671925958e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.223 Order of pole = 2.540e-27 TOP MAIN SOLVE Loop x[1] = 3.246 y[1] (analytic) = 2.1856123346433792829658048382112 y[1] (numeric) = 2.18561233464337928296580483821 absolute error = 1.2e-30 relative error = 5.4904521766244556778042575075541e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.247 y[1] (analytic) = 2.1861650050322815737671016735226 y[1] (numeric) = 2.1861650050322815737671016735213 absolute error = 1.3e-30 relative error = 5.9464861847461683559297783086826e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.248 y[1] (analytic) = 2.1867176643268417283257481597785 y[1] (numeric) = 2.1867176643268417283257481597772 absolute error = 1.3e-30 relative error = 5.9449833017203502055755141124589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.249 y[1] (analytic) = 2.1872703125317325242596342580322 y[1] (numeric) = 2.1872703125317325242596342580309 absolute error = 1.3e-30 relative error = 5.9434812082977962232873353866968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.25 y[1] (analytic) = 2.1878229496516237876479488276074 y[1] (numeric) = 2.1878229496516237876479488276061 absolute error = 1.3e-30 relative error = 5.9419799038446161526797187146000e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.872 Order of pole = 4.504e-27 TOP MAIN SOLVE Loop x[1] = 3.251 y[1] (analytic) = 2.1883755756911823955164243419135 y[1] (numeric) = 2.1883755756911823955164243419122 absolute error = 1.3e-30 relative error = 5.9404793877276048588115375522847e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.252 y[1] (analytic) = 2.1889281906550722783199663829926 y[1] (numeric) = 2.1889281906550722783199663829913 absolute error = 1.3e-30 relative error = 5.9389796593142413976024869639845e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.253 y[1] (analytic) = 2.1894807945479544224226712164988 y[1] (numeric) = 2.1894807945479544224226712164975 absolute error = 1.3e-30 relative error = 5.9374807179726880867709171097773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.254 y[1] (analytic) = 2.1900333873744868725752347439467 y[1] (numeric) = 2.1900333873744868725752347439454 absolute error = 1.3e-30 relative error = 5.9359825630717895782901685049257e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.255 y[1] (analytic) = 2.1905859691393247343897561242131 y[1] (numeric) = 2.1905859691393247343897561242118 absolute error = 1.3e-30 relative error = 5.9344851939810719323605084241197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.256 y[1] (analytic) = 2.1911385398471201768119393514302 y[1] (numeric) = 2.1911385398471201768119393514289 absolute error = 1.3e-30 relative error = 5.9329886100707416928937741624751e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 23.82 Order of pole = 7.766e-26 TOP MAIN SOLVE Loop x[1] = 3.257 y[1] (analytic) = 2.1916910995025224345906960715704 y[1] (numeric) = 2.1916910995025224345906960715692 absolute error = 1.2e-30 relative error = 5.4752241329646322749303094044173e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.258 y[1] (analytic) = 2.1922436481101778107451529151942 y[1] (numeric) = 2.1922436481101778107451529151929 absolute error = 1.3e-30 relative error = 5.9299977952754664910279925286140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.259 y[1] (analytic) = 2.1927961856747296790290666190094 y[1] (numeric) = 2.1927961856747296790290666190081 absolute error = 1.3e-30 relative error = 5.9285035631343287354924400254077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.26 y[1] (analytic) = 2.1933487122008184863926502040805 y[1] (numeric) = 2.1933487122008184863926502040793 absolute error = 1.2e-30 relative error = 5.4710862587641762723005400310070e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.261 y[1] (analytic) = 2.1939012276930817554418134737176 y[1] (numeric) = 2.1939012276930817554418134737164 absolute error = 1.2e-30 relative error = 5.4697084119042907541627991433676e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.262 y[1] (analytic) = 2.1944537321561540868948210892793 y[1] (numeric) = 2.1944537321561540868948210892781 absolute error = 1.2e-30 relative error = 5.4683312863513577697711155454014e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.263 y[1] (analytic) = 2.1950062255946671620363714773357 y[1] (numeric) = 2.1950062255946671620363714773345 absolute error = 1.2e-30 relative error = 5.4669548815284027067488691584078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.264 y[1] (analytic) = 2.1955587080132497451690998168552 y[1] (numeric) = 2.195558708013249745169099816854 absolute error = 1.2e-30 relative error = 5.4655791968590723142895270963998e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.103 Order of pole = 3.331e-27 TOP MAIN SOLVE Loop x[1] = 3.265 y[1] (analytic) = 2.1961111794165276860625083503064 y[1] (numeric) = 2.1961111794165276860625083503052 absolute error = 1.2e-30 relative error = 5.4642042317676338622056899904407e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.266 y[1] (analytic) = 2.1966636398091239223993272578015 y[1] (numeric) = 2.1966636398091239223993272578003 absolute error = 1.2e-30 relative error = 5.4628299856789743013480852551860e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.267 y[1] (analytic) = 2.1972160891956584822193093286511 y[1] (numeric) = 2.1972160891956584822193093286498 absolute error = 1.3e-30 relative error = 5.9165778295201493775078906554828e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.268 y[1] (analytic) = 2.19776852758074848636046165995 y[1] (numeric) = 2.1977685275807484863604616599488 absolute error = 1.2e-30 relative error = 5.4600836482126330339878445006677e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.4152 Order of pole = 6.769e-27 TOP MAIN SOLVE Loop x[1] = 3.269 y[1] (analytic) = 2.1983209549690081508977176070753 y[1] (numeric) = 2.1983209549690081508977176070741 absolute error = 1.2e-30 relative error = 5.4587115556878160972753689498575e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.989 Order of pole = 7.686e-27 TOP MAIN SOLVE Loop x[1] = 3.27 y[1] (analytic) = 2.1988733713650487895790522062409 y[1] (numeric) = 2.1988733713650487895790522062397 absolute error = 1.2e-30 relative error = 5.4573401798715059217554095871104e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.271 y[1] (analytic) = 2.1994257767734788162590442845322 y[1] (numeric) = 2.199425776773478816259044284531 absolute error = 1.2e-30 relative error = 5.4559695201916753175201112863381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.272 y[1] (analytic) = 2.1999781711989037473298884681239 y[1] (numeric) = 2.1999781711989037473298884681227 absolute error = 1.2e-30 relative error = 5.4545995760769117668369270337667e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.273 y[1] (analytic) = 2.2005305546459262041498602946762 y[1] (numeric) = 2.200530554645926204149860294675 absolute error = 1.2e-30 relative error = 5.4532303469564165940845264760674e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.274 y[1] (analytic) = 2.2010829271191459154692376312035 y[1] (numeric) = 2.2010829271191459154692376312023 absolute error = 1.2e-30 relative error = 5.4518618322600041370379438490690e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=385.2MB, alloc=4.4MB, time=45.23 x[1] = 3.275 y[1] (analytic) = 2.201635288623159719853681594015 y[1] (numeric) = 2.2016352886231597198536815940138 absolute error = 1.2e-30 relative error = 5.4504940314181009195004021150029e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.276 y[1] (analytic) = 2.2021876391625615681050801626427 y[1] (numeric) = 2.2021876391625615681050801626415 absolute error = 1.2e-30 relative error = 5.4491269438617448252792557067227e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.277 y[1] (analytic) = 2.2027399787419425256798576749928 y[1] (numeric) = 2.2027399787419425256798576749917 absolute error = 1.1e-30 relative error = 4.9937805216040355840448748480207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.278 y[1] (analytic) = 2.2032923073658907751047533862879 y[1] (numeric) = 2.2032923073658907751047533862868 absolute error = 1.1e-30 relative error = 4.9925286641384709456736081975820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.279 y[1] (analytic) = 2.2038446250389916183900722697037 y[1] (numeric) = 2.2038446250389916183900722697026 absolute error = 1.1e-30 relative error = 4.9912774589567002773806664056944e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.28 y[1] (analytic) = 2.2043969317658274794404112319524 y[1] (numeric) = 2.2043969317658274794404112319513 absolute error = 1.1e-30 relative error = 4.9900269055394090786778178984782e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.281 y[1] (analytic) = 2.2049492275509779064628639124146 y[1] (numeric) = 2.2049492275509779064628639124135 absolute error = 1.1e-30 relative error = 4.9887770033678394948702861925035e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.282 y[1] (analytic) = 2.2055015123990195743727072297864 y[1] (numeric) = 2.2055015123990195743727072297853 absolute error = 1.1e-30 relative error = 4.9875277519237895672117336342698e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.283 y[1] (analytic) = 2.206053786314526287196572835575 y[1] (numeric) = 2.2060537863145262871965728355739 absolute error = 1.1e-30 relative error = 4.9862791506896124842750845170157e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.284 y[1] (analytic) = 2.2066060493020689804731066291533 y[1] (numeric) = 2.2066060493020689804731066291522 absolute error = 1.1e-30 relative error = 4.9850311991482158345368835101877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.285 y[1] (analytic) = 2.2071583013662157236511194844702 y[1] (numeric) = 2.2071583013662157236511194844691 absolute error = 1.1e-30 relative error = 4.9837838967830608601728903319629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.286 y[1] (analytic) = 2.2077105425115317224852323339024 y[1] (numeric) = 2.2077105425115317224852323339012 absolute error = 1.2e-30 relative error = 5.4354951742670855040683089943128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.287 y[1] (analytic) = 2.2082627727425793214290187501362 y[1] (numeric) = 2.208262772742579321429018750135 absolute error = 1.2e-30 relative error = 5.4341358954742742247278351904794e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.175 Order of pole = 1.063e-26 TOP MAIN SOLVE Loop x[1] = 3.288 y[1] (analytic) = 2.2088149920639180060256481623744 y[1] (numeric) = 2.2088149920639180060256481623732 absolute error = 1.2e-30 relative error = 5.4327773231868519055762267779144e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.289 y[1] (analytic) = 2.2093672004801044052960328385772 y[1] (numeric) = 2.2093672004801044052960328385761 absolute error = 1.1e-30 relative error = 4.9788011687734187534687962086368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.29 y[1] (analytic) = 2.2099193979956922941244817608723 y[1] (numeric) = 2.2099193979956922941244817608711 absolute error = 1.2e-30 relative error = 5.4300622958844180937210866397811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.291 y[1] (analytic) = 2.2104715846152325956418645166952 y[1] (numeric) = 2.2104715846152325956418645166941 absolute error = 1.1e-30 relative error = 4.9763136864366086390574789604375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.292 y[1] (analytic) = 2.2110237603432733836062883236653 y[1] (numeric) = 2.2110237603432733836062883236641 absolute error = 1.2e-30 relative error = 5.4273500878782664783838149197751e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.69 Order of pole = 1.571e-26 TOP MAIN SOLVE Loop x[1] = 3.293 y[1] (analytic) = 2.2115759251843598847812913016407 y[1] (numeric) = 2.2115759251843598847812913016395 absolute error = 1.2e-30 relative error = 5.4259950397134406225074872644582e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.843 Order of pole = 2.426e-26 TOP MAIN SOLVE Loop x[1] = 3.294 y[1] (analytic) = 2.2121280791430344813115551008578 y[1] (numeric) = 2.2121280791430344813115551008566 absolute error = 1.2e-30 relative error = 5.4246406946964526695167630757790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.295 y[1] (analytic) = 2.2126802222238367130961399905136 y[1] (numeric) = 2.2126802222238367130961399905124 absolute error = 1.2e-30 relative error = 5.4232870522698011678811280809018e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.9 Order of pole = 3.285e-26 TOP MAIN SOLVE Loop x[1] = 3.296 y[1] (analytic) = 2.213232354431303280159245507624 y[1] (numeric) = 2.2132323544313032801592455076228 absolute error = 1.2e-30 relative error = 5.4219341118765797839680078768825e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.297 y[1] (analytic) = 2.2137844757699680450184997614632 y[1] (numeric) = 2.2137844757699680450184997614621 absolute error = 1.1e-30 relative error = 4.9688667168804367950254410981825e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.298 y[1] (analytic) = 2.2143365862443620350507804843762 y[1] (numeric) = 2.2143365862443620350507804843751 absolute error = 1.1e-30 relative error = 4.9676278070519584323455411401010e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.299 y[1] (analytic) = 2.2148886858590134448555709152437 y[1] (numeric) = 2.2148886858590134448555709152426 absolute error = 1.1e-30 relative error = 4.9663895392258977626294975746826e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.815 Order of pole = 1.315e-27 TOP MAIN SOLVE Loop x[1] = 3.3 y[1] (analytic) = 2.2154407746184476386158535973822 y[1] (numeric) = 2.2154407746184476386158535973812 absolute error = 1.0e-30 relative error = 4.5137744662672110051597833570381e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.301 y[1] (analytic) = 2.2159928525271871524565451681644 y[1] (numeric) = 2.2159928525271871524565451681633 absolute error = 1.1e-30 relative error = 4.9639149275482806585827760611178e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.302 y[1] (analytic) = 2.216544919589751696800475213159 y[1] (numeric) = 2.216544919589751696800475213158 absolute error = 1.0e-30 relative error = 4.5115259842560943361714630530288e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.303 y[1] (analytic) = 2.2170969758106581587219122531148 y[1] (numeric) = 2.2170969758106581587219122531138 absolute error = 1.0e-30 relative error = 4.5104026161704565584375314738876e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.019 Order of pole = 1.60e-28 TOP MAIN SOLVE Loop x[1] = 3.304 y[1] (analytic) = 2.2176490211944206042976399276348 y[1] (numeric) = 2.2176490211944206042976399276338 absolute error = 1.0e-30 relative error = 4.5092798294177422454341767827531e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.305 y[1] (analytic) = 2.218201055745550280955586434929 y[1] (numeric) = 2.218201055745550280955586434928 absolute error = 1.0e-30 relative error = 4.5081576235382963593347286939236e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.306 y[1] (analytic) = 2.2187530794685556198210102825752 y[1] (numeric) = 2.2187530794685556198210102825742 absolute error = 1.0e-30 relative error = 4.5070359980729531888425704864518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=389.1MB, alloc=4.4MB, time=45.68 TOP MAIN SOLVE Loop x[1] = 3.307 y[1] (analytic) = 2.2193050923679422380602453997671 y[1] (numeric) = 2.2193050923679422380602453997661 absolute error = 1.0e-30 relative error = 4.5059149525630356945284889937285e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.32 Order of pole = 1.396e-26 TOP MAIN SOLVE Loop x[1] = 3.308 y[1] (analytic) = 2.2198570944482129412220086570897 y[1] (numeric) = 2.2198570944482129412220086570887 absolute error = 1.0e-30 relative error = 4.5047944865503548552223051937248e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.444 Order of pole = 5.186e-27 TOP MAIN SOLVE Loop x[1] = 3.309 y[1] (analytic) = 2.2204090857138677255762728354258 y[1] (numeric) = 2.2204090857138677255762728354249 absolute error = 9e-31 relative error = 4.0533071396194881139111209573607e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.31 y[1] (analytic) = 2.2209610661694037804507080811716 y[1] (numeric) = 2.2209610661694037804507080811706 absolute error = 1.0e-30 relative error = 4.5025552911863832339619626362142e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.311 y[1] (analytic) = 2.2215130358193154905646948805184 y[1] (numeric) = 2.2215130358193154905646948805174 absolute error = 1.0e-30 relative error = 4.5014365609211486332075634547380e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.312 y[1] (analytic) = 2.2220649946680944383609115811483 y[1] (numeric) = 2.2220649946680944383609115811474 absolute error = 9e-31 relative error = 4.0502865674927355749929051930175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.313 y[1] (analytic) = 2.222616942720229406334499485283 y[1] (numeric) = 2.2226169427202294063344994852821 absolute error = 9e-31 relative error = 4.0492807496486674983686069519912e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.437 Order of pole = 1.107e-27 TOP MAIN SOLVE Loop x[1] = 3.314 y[1] (analytic) = 2.2231688799802063793598085336291 y[1] (numeric) = 2.2231688799802063793598085336282 absolute error = 9e-31 relative error = 4.0482754508870824192725561044613e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.315 y[1] (analytic) = 2.2237208064525085470147265953749 y[1] (numeric) = 2.223720806452508547014726595374 absolute error = 9e-31 relative error = 4.0472706707986683420821384991115e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.316 y[1] (analytic) = 2.2242727221416163059025953750067 y[1] (numeric) = 2.2242727221416163059025953750058 absolute error = 9e-31 relative error = 4.0462664089745478155727993289338e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.317 y[1] (analytic) = 2.224824627052007261971715942341 y[1] (numeric) = 2.2248246270520072619717159423401 absolute error = 9e-31 relative error = 4.0452626650062773531302774205195e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.318 y[1] (analytic) = 2.2253765211881562328324468877974 y[1] (numeric) = 2.2253765211881562328324468877965 absolute error = 9e-31 relative error = 4.0442594384858468538940049721273e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.319 y[1] (analytic) = 2.225928404554535250071898100578 y[1] (numeric) = 2.2259284045545352500718981005772 absolute error = 8e-31 relative error = 3.5940059813383813554043776679177e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.32 y[1] (analytic) = 2.2264802771556135615662231630646 y[1] (numeric) = 2.2264802771556135615662231630638 absolute error = 8e-31 relative error = 3.5931151432521144922053169040584e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.321 y[1] (analytic) = 2.2270321389958576337905133503969 y[1] (numeric) = 2.2270321389958576337905133503961 absolute error = 8e-31 relative error = 3.5922247640337624739053730427384e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.322 y[1] (analytic) = 2.2275839900797311541262962198582 y[1] (numeric) = 2.2275839900797311541262962198574 absolute error = 8e-31 relative error = 3.5913348433221854535271376883220e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.323 y[1] (analytic) = 2.2281358304116950331666417703606 y[1] (numeric) = 2.2281358304116950331666417703599 absolute error = 7e-31 relative error = 3.1416397081620479735970974836660e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 11.23 Order of pole = 2.349e-26 TOP MAIN SOLVE Loop x[1] = 3.324 y[1] (analytic) = 2.2286876599962074070188791479971 y[1] (numeric) = 2.2286876599962074070188791479963 absolute error = 8e-31 relative error = 3.5895563759767098662523517862237e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.325 y[1] (analytic) = 2.2292394788377236396049268693101 y[1] (numeric) = 2.2292394788377236396049268693093 absolute error = 8e-31 relative error = 3.5886678286224429250275896833071e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.326 y[1] (analytic) = 2.2297912869406963249592395296168 y[1] (numeric) = 2.229791286940696324959239529616 absolute error = 8e-31 relative error = 3.5877797383342132163062832937361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.327 y[1] (analytic) = 2.2303430843095752895243739594246 y[1] (numeric) = 2.2303430843095752895243739594238 absolute error = 8e-31 relative error = 3.5868921047527891624490827468052e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.328 y[1] (analytic) = 2.2308948709488075944441777876769 y[1] (numeric) = 2.2308948709488075944441777876761 absolute error = 8e-31 relative error = 3.5860049275193193173891813712612e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.329 y[1] (analytic) = 2.2314466468628375378546033662782 y[1] (numeric) = 2.2314466468628375378546033662774 absolute error = 8e-31 relative error = 3.5851182062753318610960329568759e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.292 Order of pole = 4.359e-27 TOP MAIN SOLVE Loop x[1] = 3.33 y[1] (analytic) = 2.2319984120561066571721500060664 y[1] (numeric) = 2.2319984120561066571721500060655 absolute error = 9e-31 relative error = 4.0322609332455758567043894628545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.331 y[1] (analytic) = 2.2325501665330537313799374701225 y[1] (numeric) = 2.2325501665330537313799374701217 absolute error = 8e-31 relative error = 3.5833461303238119373148421092830e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.332 y[1] (analytic) = 2.2331019102981147833114136660451 y[1] (numeric) = 2.2331019102981147833114136660443 absolute error = 8e-31 relative error = 3.5824607749012294214412636910149e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.333 y[1] (analytic) = 2.2336536433557230819316994745485 y[1] (numeric) = 2.2336536433557230819316994745477 absolute error = 8e-31 relative error = 3.5815758740380281921421298621765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.334 y[1] (analytic) = 2.234205365710309144616573647497 y[1] (numeric) = 2.2342053657103091446165736474962 absolute error = 8e-31 relative error = 3.5806914273776270047957295203849e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.335 y[1] (analytic) = 2.2347570773663007394291007042352 y[1] (numeric) = 2.2347570773663007394291007042344 absolute error = 8e-31 relative error = 3.5798074345638212245408543129939e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.336 y[1] (analytic) = 2.2353087783281228873939047508379 y[1] (numeric) = 2.2353087783281228873939047508371 absolute error = 8e-31 relative error = 3.5789238952407823263737721597714e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.337 y[1] (analytic) = 2.2358604686001978647690921426678 y[1] (numeric) = 2.235860468600197864769092142667 absolute error = 8e-31 relative error = 3.5780408090530573960439466993777e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=392.9MB, alloc=4.4MB, time=46.13 x[1] = 3.338 y[1] (analytic) = 2.2364121481869452053158259064051 y[1] (numeric) = 2.2364121481869452053158259064043 absolute error = 8e-31 relative error = 3.5771581756455686317470110351139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.339 y[1] (analytic) = 2.2369638170927817025655548334933 y[1] (numeric) = 2.2369638170927817025655548334925 absolute error = 8e-31 relative error = 3.5762759946636128466135073421861e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.34 y[1] (analytic) = 2.237515475322121412084900152734 y[1] (numeric) = 2.2375154753221214120849001527332 absolute error = 8e-31 relative error = 3.5753942657528609719919070778340e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.341 y[1] (analytic) = 2.2380671228793756537382026855577 y[1] (numeric) = 2.2380671228793756537382026855569 absolute error = 8e-31 relative error = 3.5745129885593575615244297071438e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.342 y[1] (analytic) = 2.2386187597689530139477333833009 y[1] (numeric) = 2.2386187597689530139477333833001 absolute error = 8e-31 relative error = 3.5736321627295202960141810211994e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.403 Order of pole = 1.131e-27 TOP MAIN SOLVE Loop x[1] = 3.343 y[1] (analytic) = 2.239170385995259347951570141628 y[1] (numeric) = 2.2391703859952593479515701416272 absolute error = 8e-31 relative error = 3.5727517879101394890821352804708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.344 y[1] (analytic) = 2.2397220015626977820591437830514 y[1] (numeric) = 2.2397220015626977820591437830507 absolute error = 7e-31 relative error = 3.1253878807798303944109274943701e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.345 y[1] (analytic) = 2.2402736064756687159044560943287 y[1] (numeric) = 2.240273606475668715904456094328 absolute error = 7e-31 relative error = 3.1246183411552976203617996222426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.346 y[1] (analytic) = 2.2408252007385698246969728013416 y[1] (numeric) = 2.2408252007385698246969728013409 absolute error = 7e-31 relative error = 3.1238491952396908279557200547403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.347 y[1] (analytic) = 2.2413767843557960614701943599015 y[1] (numeric) = 2.2413767843557960614701943599009 absolute error = 6e-31 relative error = 2.6769260937645012383566288632540e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.348 y[1] (analytic) = 2.2419283573317396593279074367683 y[1] (numeric) = 2.2419283573317396593279074367677 absolute error = 6e-31 relative error = 2.6762674999753241139310124056773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.349 y[1] (analytic) = 2.242479919670790133688119951018 y[1] (numeric) = 2.2424799196707901336881199510174 absolute error = 6e-31 relative error = 2.6756092428603940235705213872893e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.35 y[1] (analytic) = 2.2430314713773342845246825417549 y[1] (numeric) = 2.2430314713773342845246825417543 absolute error = 6e-31 relative error = 2.6749513221567496931101370445298e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.351 y[1] (analytic) = 2.2435830124557561986065993240254 y[1] (numeric) = 2.2435830124557561986065993240248 absolute error = 6e-31 relative error = 2.6742937376017063781338757477251e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.352 y[1] (analytic) = 2.2441345429104372517350307906626 y[1] (numeric) = 2.2441345429104372517350307906619 absolute error = 7e-31 relative error = 3.1192425704216647482494774161159e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.353 y[1] (analytic) = 2.2446860627457561109779917136674 y[1] (numeric) = 2.2446860627457561109779917136667 absolute error = 7e-31 relative error = 3.1184761718694083190191496670188e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.354 y[1] (analytic) = 2.2452375719660887369027468946181 y[1] (numeric) = 2.2452375719660887369027468946174 absolute error = 7e-31 relative error = 3.1177101645730545834869973091112e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.355 y[1] (analytic) = 2.2457890705758083858059076094886 y[1] (numeric) = 2.2457890705758083858059076094879 absolute error = 7e-31 relative error = 3.1169445482274242215626434215844e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.356 y[1] (analytic) = 2.2463405585792856119412315891566 y[1] (numeric) = 2.2463405585792856119412315891559 absolute error = 7e-31 relative error = 3.1161793225276584060282781574676e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.749 Order of pole = 1.910e-27 TOP MAIN SOLVE Loop x[1] = 3.357 y[1] (analytic) = 2.2468920359808882697451293727849 y[1] (numeric) = 2.2468920359808882697451293727842 absolute error = 7e-31 relative error = 3.1154144871692183795300497519590e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.358 y[1] (analytic) = 2.2474435027849815160598798671731 y[1] (numeric) = 2.2474435027849815160598798671724 absolute error = 7e-31 relative error = 3.1146500418478850322415263701703e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.359 y[1] (analytic) = 2.2479949589959278123545579410918 y[1] (numeric) = 2.2479949589959278123545579410911 absolute error = 7e-31 relative error = 3.1138859862597584801979807950642e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.36 y[1] (analytic) = 2.2485464046180869269436768795401 y[1] (numeric) = 2.2485464046180869269436768795394 absolute error = 7e-31 relative error = 3.1131223201012576443002526076578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.361 y[1] (analytic) = 2.2490978396558159372035485187958 y[1] (numeric) = 2.2490978396558159372035485187951 absolute error = 7e-31 relative error = 3.1123590430691198299869451565261e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.362 y[1] (analytic) = 2.2496492641134692317863638790667 y[1] (numeric) = 2.2496492641134692317863638790661 absolute error = 6e-31 relative error = 2.6670824184517716922060433590920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.363 y[1] (analytic) = 2.250200677995398512831997107498 y[1] (numeric) = 2.2502006779953985128319971074974 absolute error = 6e-31 relative error = 2.6664288472906901942215132756908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.364 y[1] (analytic) = 2.2507520813059527981775355402396 y[1] (numeric) = 2.2507520813059527981775355402389 absolute error = 7e-31 relative error = 3.1100715437030245307909290485942e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.365 y[1] (analytic) = 2.2513034740494784235645386882375 y[1] (numeric) = 2.2513034740494784235645386882368 absolute error = 7e-31 relative error = 3.1093098201500648738061848162479e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.366 y[1] (analytic) = 2.2518548562303190448440289473787 y[1] (numeric) = 2.251854856230319044844028947378 absolute error = 7e-31 relative error = 3.1085484842119158688196365435197e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.367 y[1] (analytic) = 2.2524062278528156401792168295877 y[1] (numeric) = 2.2524062278528156401792168295871 absolute error = 6e-31 relative error = 2.6638178876461854333286609581435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.368 y[1] (analytic) = 2.252957588921306512245963507455 y[1] (numeric) = 2.2529575889213065122459635074544 absolute error = 6e-31 relative error = 2.6631659776927890582020779081031e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.369 y[1] (analytic) = 2.2535089394401272904309834609587 y[1] (numeric) = 2.2535089394401272904309834609581 absolute error = 6e-31 relative error = 2.6625143992065410448073431267861e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=396.7MB, alloc=4.4MB, time=46.58 TOP MAIN SOLVE Loop x[1] = 3.37 y[1] (analytic) = 2.254060279413610933027790010835 y[1] (numeric) = 2.2540602794136109330277900108344 absolute error = 6e-31 relative error = 2.6618631519299419313080237111629e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.371 y[1] (analytic) = 2.2546116088460877294303865191496 y[1] (numeric) = 2.2546116088460877294303865191491 absolute error = 5e-31 relative error = 2.2176768630048013211373323632934e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.372 y[1] (analytic) = 2.2551629277418853023247060336268 y[1] (numeric) = 2.2551629277418853023247060336263 absolute error = 5e-31 relative error = 2.2171347083141990417385579502650e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.373 y[1] (analytic) = 2.2557142361053286098778021483039 y[1] (numeric) = 2.2557142361053286098778021483034 absolute error = 5e-31 relative error = 2.2165928289892343254500164112648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.374 y[1] (analytic) = 2.2562655339407399479247938490978 y[1] (numeric) = 2.2562655339407399479247938490973 absolute error = 5e-31 relative error = 2.2160512248162202840190766249124e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.375 y[1] (analytic) = 2.2568168212524389521535671088929 y[1] (numeric) = 2.2568168212524389521535671088924 absolute error = 5e-31 relative error = 2.2155098955816932930745372467794e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.376 y[1] (analytic) = 2.2573680980447426002872359927902 y[1] (numeric) = 2.2573680980447426002872359927897 absolute error = 5e-31 relative error = 2.2149688410724126989479651508353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.377 y[1] (analytic) = 2.2579193643219652142643660301972 y[1] (numeric) = 2.2579193643219652142643660301967 absolute error = 5e-31 relative error = 2.2144280610753605259584668332154e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.378 y[1] (analytic) = 2.2584706200884184624169626064786 y[1] (numeric) = 2.258470620088418462416962606478 absolute error = 6e-31 relative error = 2.6566650664532894209920438831770e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.379 y[1] (analytic) = 2.2590218653484113616462271229397 y[1] (numeric) = 2.2590218653484113616462271229392 absolute error = 5e-31 relative error = 2.2133473237669811775506269249696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.38 y[1] (analytic) = 2.2595731001062502795960836699724 y[1] (numeric) = 2.2595731001062502795960836699719 absolute error = 5e-31 relative error = 2.2128073660307288127420890279616e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.381 y[1] (analytic) = 2.260124324366238936824478954253 y[1] (numeric) = 2.2601243243662389368244789542525 absolute error = 5e-31 relative error = 2.2122676819568539080901318072121e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.382 y[1] (analytic) = 2.260675538132678408972458216955 y[1] (numeric) = 2.2606755381326784089724582169546 absolute error = 4e-31 relative error = 1.7693826170667580026267609631588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.383 y[1] (analytic) = 2.2612267414098671289310198760136 y[1] (numeric) = 2.2612267414098671289310198760131 absolute error = 5e-31 relative error = 2.2111891339488215693911821517051e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.384 y[1] (analytic) = 2.2617779342021008890057516215601 y[1] (numeric) = 2.2617779342021008890057516215597 absolute error = 4e-31 relative error = 1.7685202156732069754942623283059e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.385 y[1] (analytic) = 2.2623291165136728430792506897382 y[1] (numeric) = 2.2623291165136728430792506897377 absolute error = 5e-31 relative error = 2.2101116780502619190148231236755e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.386 y[1] (analytic) = 2.2628802883488735087713310362013 y[1] (numeric) = 2.2628802883488735087713310362008 absolute error = 5e-31 relative error = 2.2095733591140541983978887490555e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.387 y[1] (analytic) = 2.2634314497119907695970201267014 y[1] (numeric) = 2.2634314497119907695970201267009 absolute error = 5e-31 relative error = 2.2090353125720783637193387851030e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.388 y[1] (analytic) = 2.2639826006073098771223480582793 y[1] (numeric) = 2.2639826006073098771223480582788 absolute error = 5e-31 relative error = 2.2084975382137467096445004924250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.389 y[1] (analytic) = 2.2645337410391134531179317206858 y[1] (numeric) = 2.2645337410391134531179317206853 absolute error = 5e-31 relative error = 2.2079600358286907320814115715878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.39 y[1] (analytic) = 2.2650848710116814917103567037832 y[1] (numeric) = 2.2650848710116814917103567037827 absolute error = 5e-31 relative error = 2.2074228052067608414129595245216e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.92 Order of pole = 2.303e-27 TOP MAIN SOLVE Loop x[1] = 3.391 y[1] (analytic) = 2.2656359905292913615313596528018 y[1] (numeric) = 2.2656359905292913615313596528014 absolute error = 4e-31 relative error = 1.7655086769104208609445041477498e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.392 y[1] (analytic) = 2.266187099596217807864813769462 y[1] (numeric) = 2.2661870995962178078648137694616 absolute error = 4e-31 relative error = 1.7650793267302190537752273247671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.393 y[1] (analytic) = 2.2667381982167329547915201531099 y[1] (numeric) = 2.2667381982167329547915201531095 absolute error = 4e-31 relative error = 1.7646501934572076017923053205466e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.394 y[1] (analytic) = 2.2672892863951063073318076721637 y[1] (numeric) = 2.2672892863951063073318076721633 absolute error = 4e-31 relative error = 1.7642212769239650726944623709799e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.714 Order of pole = 2.38e-28 TOP MAIN SOLVE Loop x[1] = 3.395 y[1] (analytic) = 2.2678403641356047535859440523166 y[1] (numeric) = 2.2678403641356047535859440523161 absolute error = 5e-31 relative error = 2.2047407212040550301186135615287e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.396 y[1] (analytic) = 2.2683914314424925668723608641035 y[1] (numeric) = 2.2683914314424925668723608641031 absolute error = 4e-31 relative error = 1.7633640934079707762647396026524e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.397 y[1] (analytic) = 2.268942488320031407863695088604 y[1] (numeric) = 2.2689424883200314078636950886036 absolute error = 4e-31 relative error = 1.7629358260912451852339205163972e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.398 y[1] (analytic) = 2.2694935347724803267206499362218 y[1] (numeric) = 2.2694935347724803267206499362213 absolute error = 5e-31 relative error = 2.2031347185579255203107208102624e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.399 y[1] (analytic) = 2.2700445708040957652236775896627 y[1] (numeric) = 2.2700445708040957652236775896623 absolute error = 4e-31 relative error = 1.7620799395067027175845566600547e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.4 y[1] (analytic) = 2.270595596419131558902486538415 y[1] (numeric) = 2.2705955964191315589024865384146 absolute error = 4e-31 relative error = 1.7616523199059511947162416491377e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.331 Order of pole = 3.947e-27 TOP MAIN SOLVE Loop memory used=400.5MB, alloc=4.4MB, time=47.03 x[1] = 3.401 y[1] (analytic) = 2.2711466116218389391633761682244 y[1] (numeric) = 2.271146611621838939163376168224 absolute error = 4e-31 relative error = 1.7612249158778775848400718551999e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.402 y[1] (analytic) = 2.2716976164164665354144012652549 y[1] (numeric) = 2.2716976164164665354144012652545 absolute error = 4e-31 relative error = 1.7607977272564460317521220917233e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.403 y[1] (analytic) = 2.2722486108072603771883690908277 y[1] (numeric) = 2.2722486108072603771883690908273 absolute error = 4e-31 relative error = 1.7603707538757928610790761163076e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.404 y[1] (analytic) = 2.2727995947984638962636716788389 y[1] (numeric) = 2.2727995947984638962636716788385 absolute error = 4e-31 relative error = 1.7599439955702263558619515198321e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.405 y[1] (analytic) = 2.2733505683943179287829560041714 y[1] (numeric) = 2.273350568394317928782956004171 absolute error = 4e-31 relative error = 1.7595174521742265324919280751604e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.406 y[1] (analytic) = 2.2739015315990607173696346666379 y[1] (numeric) = 2.2739015315990607173696346666375 absolute error = 4e-31 relative error = 1.7590911235224449169976338440671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.407 y[1] (analytic) = 2.2744524844169279132422397312191 y[1] (numeric) = 2.2744524844169279132422397312187 absolute error = 4e-31 relative error = 1.7586650094497043216832446957815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.408 y[1] (analytic) = 2.2750034268521525783266223615931 y[1] (numeric) = 2.2750034268521525783266223615927 absolute error = 4e-31 relative error = 1.7582391097909986221167542420587e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.409 y[1] (analytic) = 2.2755543589089651873660008801934 y[1] (numeric) = 2.275554358908965187366000880193 absolute error = 4e-31 relative error = 1.7578134243814925344677725420124e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.41 y[1] (analytic) = 2.2761052805915936300288598842761 y[1] (numeric) = 2.2761052805915936300288598842758 absolute error = 3e-31 relative error = 1.3180409647923910448956599563161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.411 y[1] (analytic) = 2.2766561919042632130147030437317 y[1] (numeric) = 2.2766561919042632130147030437314 absolute error = 3e-31 relative error = 1.3177220217386931968079228168894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.412 y[1] (analytic) = 2.2772070928511966621576622026301 y[1] (numeric) = 2.2772070928511966621576622026297 absolute error = 4e-31 relative error = 1.7565376520023770476037668364142e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.413 y[1] (analytic) = 2.2777579834366141245279654027561 y[1] (numeric) = 2.2777579834366141245279654027557 absolute error = 4e-31 relative error = 1.7561128219447256076960784112647e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.688 Order of pole = 1.449e-27 TOP MAIN SOLVE Loop x[1] = 3.414 y[1] (analytic) = 2.2783088636647331705312664436598 y[1] (numeric) = 2.2783088636647331705312664436594 absolute error = 4e-31 relative error = 1.7556882053146522007875989051578e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.415 y[1] (analytic) = 2.2788597335397687960058385900218 y[1] (numeric) = 2.2788597335397687960058385900213 absolute error = 5e-31 relative error = 2.1940797524354274128056397341656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.416 y[1] (analytic) = 2.279410593065933424317635033417 y[1] (numeric) = 2.2794105930659334243176350334166 absolute error = 4e-31 relative error = 1.7548396116821491911323968149391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.417 y[1] (analytic) = 2.2799614422474369084532187118492 y[1] (numeric) = 2.2799614422474369084532187118488 absolute error = 4e-31 relative error = 1.7544156343525974503273203649524e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.418 y[1] (analytic) = 2.2805122810884865331105640867188 y[1] (numeric) = 2.2805122810884865331105640867184 absolute error = 4e-31 relative error = 1.7539918697963790269707398671769e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.419 y[1] (analytic) = 2.281063109593287016787733473192 y[1] (numeric) = 2.2810631095932870167877334731916 absolute error = 4e-31 relative error = 1.7535683178503548732675940011436e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.42 y[1] (analytic) = 2.2816139277660405138694305162414 y[1] (numeric) = 2.281613927766040513869430516241 absolute error = 4e-31 relative error = 1.7531449783515543556269516334759e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.421 y[1] (analytic) = 2.2821647356109466167114334009419 y[1] (numeric) = 2.2821647356109466167114334009415 absolute error = 4e-31 relative error = 1.7527218511371750361445937829760e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.422 y[1] (analytic) = 2.2827155331322023577229103819242 y[1] (numeric) = 2.2827155331322023577229103819238 absolute error = 4e-31 relative error = 1.7522989360445824544269042082794e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.423 y[1] (analytic) = 2.283266320334002211446620213212 y[1] (numeric) = 2.2832663203340022114466202132116 absolute error = 4e-31 relative error = 1.7518762329113099097554455174426e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.424 y[1] (analytic) = 2.2838170972205380966370000559984 y[1] (numeric) = 2.2838170972205380966370000559981 absolute error = 3e-31 relative error = 1.3135903061812936826936992502099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.425 y[1] (analytic) = 2.2843678637959993783361434382551 y[1] (numeric) = 2.2843678637959993783361434382548 absolute error = 3e-31 relative error = 1.3132735964052717168154857619920e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.426 y[1] (analytic) = 2.2849186200645728699476708364069 y[1] (numeric) = 2.2849186200645728699476708364066 absolute error = 3e-31 relative error = 1.3129570452339429907010125479588e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.427 y[1] (analytic) = 2.285469366030442835308495445656 y[1] (numeric) = 2.2854693660304428353084954456557 absolute error = 3e-31 relative error = 1.3126406525459591291652899683717e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.428 y[1] (analytic) = 2.2860201016977909907584867018906 y[1] (numeric) = 2.2860201016977909907584867018903 absolute error = 3e-31 relative error = 1.3123244182200967637132968593991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.429 y[1] (analytic) = 2.2865708270707965072080341144748 y[1] (numeric) = 2.2865708270707965072080341144744 absolute error = 4e-31 relative error = 1.7493444561803431609156508394887e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.43 y[1] (analytic) = 2.2871215421536360122035139655811 y[1] (numeric) = 2.2871215421536360122035139655808 absolute error = 3e-31 relative error = 1.3116924241704671096630724219853e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.431 y[1] (analytic) = 2.2876722469504835919906614281002 y[1] (numeric) = 2.2876722469504835919906614280998 absolute error = 4e-31 relative error = 1.7485022189398355494751336808123e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.432 y[1] (analytic) = 2.2882229414655107935758506505366 y[1] (numeric) = 2.2882229414655107935758506505362 absolute error = 4e-31 relative error = 1.7480814161570147603592054126283e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.351 Order of pole = 1.679e-27 memory used=404.3MB, alloc=4.4MB, time=47.48 TOP MAIN SOLVE Loop x[1] = 3.433 y[1] (analytic) = 2.2887736257028866267852853536877 y[1] (numeric) = 2.2887736257028866267852853536873 absolute error = 4e-31 relative error = 1.7476608237180261017959097679873e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.434 y[1] (analytic) = 2.289324299666777566322102480287 y[1] (numeric) = 2.2893242996667775663221024802866 absolute error = 4e-31 relative error = 1.7472404414622339491720284608728e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.435 y[1] (analytic) = 2.2898749633613475538213914351923 y[1] (numeric) = 2.2898749633613475538213914351919 absolute error = 4e-31 relative error = 1.7468202692291678498728647801967e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.436 y[1] (analytic) = 2.2904256167907579999031314500974 y[1] (numeric) = 2.2904256167907579999031314500971 absolute error = 3e-31 relative error = 1.3098002301438917323647130003347e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.437 y[1] (analytic) = 2.2909762599591677862230496031549 y[1] (numeric) = 2.2909762599591677862230496031546 absolute error = 3e-31 relative error = 1.3094854156426174352541383821848e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.438 y[1] (analytic) = 2.2915268928707332675214020203078 y[1] (numeric) = 2.2915268928707332675214020203075 absolute error = 3e-31 relative error = 1.3091707582980708340225968182046e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.439 y[1] (analytic) = 2.2920775155296082736696807815491 y[1] (numeric) = 2.2920775155296082736696807815488 absolute error = 3e-31 relative error = 1.3088562579903930067234002892487e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.44 y[1] (analytic) = 2.2926281279399441117152490517502 y[1] (numeric) = 2.2926281279399441117152490517499 absolute error = 3e-31 relative error = 1.3085419145998481124101093616447e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.441 y[1] (analytic) = 2.2931787301058895679239069521302 y[1] (numeric) = 2.2931787301058895679239069521299 absolute error = 3e-31 relative error = 1.3082277280068232322804088724533e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.442 y[1] (analytic) = 2.2937293220315909098203906848736 y[1] (numeric) = 2.2937293220315909098203906848733 absolute error = 3e-31 relative error = 1.3079136980918282110668014413635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.443 y[1] (analytic) = 2.2942799037211918882268074198459 y[1] (numeric) = 2.2942799037211918882268074198456 absolute error = 3e-31 relative error = 1.3075998247354954986736705762169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.444 y[1] (analytic) = 2.2948304751788337392990084488034 y[1] (numeric) = 2.2948304751788337392990084488031 absolute error = 3e-31 relative error = 1.3072861078185799920602660704635e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.351 Order of pole = 1.077e-27 TOP MAIN SOLVE Loop x[1] = 3.445 y[1] (analytic) = 2.2953810364086551865609031089468 y[1] (numeric) = 2.2953810364086551865609031089465 absolute error = 3e-31 relative error = 1.3069725472219588773691653199837e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 11 Order of pole = 3.076e-26 TOP MAIN SOLVE Loop x[1] = 3.446 y[1] (analytic) = 2.295931587414792442936715974127 y[1] (numeric) = 2.2959315874147924429367159741267 absolute error = 3e-31 relative error = 1.3066591428266314722997651136658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.447 y[1] (analytic) = 2.2964821282013792127811898084762 y[1] (numeric) = 2.2964821282013792127811898084759 absolute error = 3e-31 relative error = 1.3063458945137190687263593769242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.448 y[1] (analytic) = 2.2970326587725466939077367737073 y[1] (numeric) = 2.297032658772546693907736773707 absolute error = 3e-31 relative error = 1.3060328021644647755603592699696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.449 y[1] (analytic) = 2.2975831791324235796145403778011 y[1] (numeric) = 2.2975831791324235796145403778008 absolute error = 3e-31 relative error = 1.3057198656602333618562129631184e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.45 y[1] (analytic) = 2.2981336892851360607086106492814 y[1] (numeric) = 2.2981336892851360607086106492811 absolute error = 3e-31 relative error = 1.3054070848825111001605833297537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.451 y[1] (analytic) = 2.2986841892348078275277950177673 y[1] (numeric) = 2.2986841892348078275277950177669 absolute error = 4e-31 relative error = 1.7401259462838741468057902849702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.452 y[1] (analytic) = 2.2992346789855600719607473779823 y[1] (numeric) = 2.2992346789855600719607473779819 absolute error = 4e-31 relative error = 1.7397093200441942696492597893841e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.453 y[1] (analytic) = 2.2997851585415114894648578109023 y[1] (numeric) = 2.2997851585415114894648578109019 absolute error = 4e-31 relative error = 1.7392929009667749628036464873572e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.454 y[1] (analytic) = 2.300335627906778281082145432224 y[1] (numeric) = 2.3003356279067782810821454322236 absolute error = 4e-31 relative error = 1.7388766888942438594116792267437e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.455 y[1] (analytic) = 2.3008860870854741554531168348505 y[1] (numeric) = 2.3008860870854741554531168348501 absolute error = 4e-31 relative error = 1.7384606836693895577781860113820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.456 y[1] (analytic) = 2.3014365360817103308285925886017 y[1] (numeric) = 2.3014365360817103308285925886013 absolute error = 4e-31 relative error = 1.7380448851351614144360932122367e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.457 y[1] (analytic) = 2.3019869748995955370795042568824 y[1] (numeric) = 2.301986974899595537079504256882 absolute error = 4e-31 relative error = 1.7376292931346693375326796259695e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.636 Order of pole = 1.575e-26 TOP MAIN SOLVE Loop x[1] = 3.458 y[1] (analytic) = 2.3025374035432360177046643865646 y[1] (numeric) = 2.3025374035432360177046643865642 absolute error = 4e-31 relative error = 1.7372139075111835805355060615648e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.459 y[1] (analytic) = 2.303087822016735531836511923875 y[1] (numeric) = 2.3030878220167355318365119238746 absolute error = 4e-31 relative error = 1.7367987281081345362574423345993e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.46 y[1] (analytic) = 2.3036382303241953562448355056161 y[1] (numeric) = 2.3036382303241953562448355056158 absolute error = 3e-31 relative error = 1.3022878160768343984001610586879e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.461 y[1] (analytic) = 2.3041886284697142873384770715932 y[1] (numeric) = 2.3041886284697142873384770715929 absolute error = 3e-31 relative error = 1.3019767405034007151619237301411e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.685 Order of pole = 1.713e-26 TOP MAIN SOLVE Loop x[1] = 3.462 y[1] (analytic) = 2.3047390164573886431650182406673 y[1] (numeric) = 2.304739016457388643165018240667 absolute error = 3e-31 relative error = 1.3016658192437320361143343938243e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.463 y[1] (analytic) = 2.3052893942913122654084518894119 y[1] (numeric) = 2.3052893942913122654084518894116 absolute error = 3e-31 relative error = 1.3013550521808800338620105228244e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.132 Order of pole = 4.588e-27 TOP MAIN SOLVE Loop memory used=408.1MB, alloc=4.4MB, time=47.93 x[1] = 3.464 y[1] (analytic) = 2.3058397619755765213848413689083 y[1] (numeric) = 2.305839761975576521384841368908 absolute error = 3e-31 relative error = 1.3010444391980157166871354310121e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.465 y[1] (analytic) = 2.3063901195142703060359697917826 y[1] (numeric) = 2.3063901195142703060359697917823 absolute error = 3e-31 relative error = 1.3007339801784292754951115498862e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.466 y[1] (analytic) = 2.3069404669114800439209818181577 y[1] (numeric) = 2.3069404669114800439209818181574 absolute error = 3e-31 relative error = 1.3004236750055299309965266319428e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.467 y[1] (analytic) = 2.3074908041712896912060203657708 y[1] (numeric) = 2.3074908041712896912060203657705 absolute error = 3e-31 relative error = 1.3001135235628457811250064090840e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.468 y[1] (analytic) = 2.3080411312977807376518606660894 y[1] (numeric) = 2.308041131297780737651860666089 absolute error = 4e-31 relative error = 1.7330713676453648649207041535155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.469 y[1] (analytic) = 2.3085914482950322085995440848467 y[1] (numeric) = 2.3085914482950322085995440848464 absolute error = 3e-31 relative error = 1.2994936814028289292677701600717e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.47 y[1] (analytic) = 2.3091417551671206669540141220114 y[1] (numeric) = 2.3091417551671206669540141220111 absolute error = 3e-31 relative error = 1.2991839904531454393190741199874e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.471 y[1] (analytic) = 2.3096920519181202151657570028035 y[1] (numeric) = 2.3096920519181202151657570028032 absolute error = 3e-31 relative error = 1.2988744527689752645515960813562e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.472 y[1] (analytic) = 2.3102423385521024972104492679756 y[1] (numeric) = 2.3102423385521024972104492679753 absolute error = 3e-31 relative error = 1.2985650682344386085082252504459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.473 y[1] (analytic) = 2.3107926150731367005666147681861 y[1] (numeric) = 2.3107926150731367005666147681857 absolute error = 4e-31 relative error = 1.7310077823116981885224648122708e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.474 y[1] (analytic) = 2.3113428814852895581912934639071 y[1] (numeric) = 2.3113428814852895581912934639067 absolute error = 4e-31 relative error = 1.7305956775351151321633883563358e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.475 y[1] (analytic) = 2.3118931377926253504937244289315 y[1] (numeric) = 2.3118931377926253504937244289311 absolute error = 4e-31 relative error = 1.7301837764954671768363507013386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.476 y[1] (analytic) = 2.3124433839992059073070454521676 y[1] (numeric) = 2.3124433839992059073070454521672 absolute error = 4e-31 relative error = 1.7297720790388758764821900469525e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.289 Order of pole = 1.694e-27 TOP MAIN SOLVE Loop x[1] = 3.477 y[1] (analytic) = 2.3129936201090906098580116290437 y[1] (numeric) = 2.3129936201090906098580116290433 absolute error = 4e-31 relative error = 1.7293605850116192707512417128621e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.478 y[1] (analytic) = 2.3135438461263363927347353304802 y[1] (numeric) = 2.3135438461263363927347353304798 absolute error = 4e-31 relative error = 1.7289492942601316849829473784577e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.479 y[1] (analytic) = 2.3140940620549977458524499340307 y[1] (numeric) = 2.3140940620549977458524499340304 absolute error = 3e-31 relative error = 1.2964036549732526478699351413369e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.48 y[1] (analytic) = 2.3146442678991267164172996984404 y[1] (numeric) = 2.3146442678991267164172996984401 absolute error = 3e-31 relative error = 1.2960954914782358288768991109788e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.481 y[1] (analytic) = 2.3151944636627729108881581595227 y[1] (numeric) = 2.3151944636627729108881581595224 absolute error = 3e-31 relative error = 1.2957874800952247957777085274345e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.482 y[1] (analytic) = 2.3157446493499834969364774219161 y[1] (numeric) = 2.3157446493499834969364774219158 absolute error = 3e-31 relative error = 1.2954796207095126541018484052705e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 18.02 Order of pole = 7.689e-26 TOP MAIN SOLVE Loop x[1] = 3.483 y[1] (analytic) = 2.3162948249648032054041707179443 y[1] (numeric) = 2.316294824964803205404170717944 absolute error = 3e-31 relative error = 1.2951719132065089770234308264743e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.484 y[1] (analytic) = 2.3168449905112743322595306014732 y[1] (numeric) = 2.3168449905112743322595306014729 absolute error = 3e-31 relative error = 1.2948643574717396567247125896883e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.687 Order of pole = 1.096e-26 TOP MAIN SOLVE Loop x[1] = 3.485 y[1] (analytic) = 2.3173951459934367405511851413337 y[1] (numeric) = 2.3173951459934367405511851413334 absolute error = 3e-31 relative error = 1.2945569533908467559879714409139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.486 y[1] (analytic) = 2.3179452914153278623600944755582 y[1] (numeric) = 2.3179452914153278623600944755579 absolute error = 3e-31 relative error = 1.2942497008495883600153307999649e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.487 y[1] (analytic) = 2.3184954267809827007495900843639 y[1] (numeric) = 2.3184954267809827007495900843636 absolute error = 3e-31 relative error = 1.2939425997338384284761237395119e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.488 y[1] (analytic) = 2.3190455520944338317134591365073 y[1] (numeric) = 2.319045552094433831713459136507 absolute error = 3e-31 relative error = 1.2936356499295866477813878141751e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.842 Order of pole = 5.672e-27 TOP MAIN SOLVE Loop x[1] = 3.489 y[1] (analytic) = 2.3195956673597114061220762603302 y[1] (numeric) = 2.31959566735971140612207626033 absolute error = 2e-31 relative error = 8.6221923421529218905672211719812e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.181 Order of pole = 2.271e-27 TOP MAIN SOLVE Loop x[1] = 3.49 y[1] (analytic) = 2.3201457725808431516665850875184 y[1] (numeric) = 2.3201457725808431516665850875182 absolute error = 2e-31 relative error = 8.6201480253340935567441816517393e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.491 y[1] (analytic) = 2.3206958677618543748011319143002 y[1] (numeric) = 2.3206958677618543748011319142999 absolute error = 3e-31 relative error = 1.2927157072474498801093400660156e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.492 y[1] (analytic) = 2.321245952906767962683153821525 y[1] (numeric) = 2.3212459529067679626831538215247 absolute error = 3e-31 relative error = 1.2924093615513969440293952273485e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.493 y[1] (analytic) = 2.321796028019604385111723591779 y[1] (numeric) = 2.3217960280196043851117235917787 absolute error = 3e-31 relative error = 1.2921031665985213374298722163844e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.494 y[1] (analytic) = 2.3223460931043816964639537584155 y[1] (numeric) = 2.3223460931043816964639537584151 absolute error = 4e-31 relative error = 1.7223961630340053568060089490991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.495 y[1] (analytic) = 2.3228961481651155376294621181076 y[1] (numeric) = 2.3228961481651155376294621181072 absolute error = 4e-31 relative error = 1.7219883046255208544476483994011e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 memory used=412.0MB, alloc=4.4MB, time=48.37 Radius of convergence = 7.094 Order of pole = 4.741e-27 TOP MAIN SOLVE Loop x[1] = 3.496 y[1] (analytic) = 2.3234461932058191379429010352626 y[1] (numeric) = 2.3234461932058191379429010352622 absolute error = 4e-31 relative error = 1.7215806467551218886288531272388e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 47.25 Order of pole = 1.514e-25 TOP MAIN SOLVE Loop x[1] = 3.497 y[1] (analytic) = 2.3239962282305033171145528633745 y[1] (numeric) = 2.3239962282305033171145528633741 absolute error = 4e-31 relative error = 1.7211731892721746149684928052525e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.498 y[1] (analytic) = 2.3245462532431764871589938051363 y[1] (numeric) = 2.3245462532431764871589938051359 absolute error = 4e-31 relative error = 1.7207659320261975382715679468966e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.499 y[1] (analytic) = 2.3250962682478446543218285298805 y[1] (numeric) = 2.3250962682478446543218285298801 absolute error = 4e-31 relative error = 1.7203588748668613188575006963095e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.5 y[1] (analytic) = 2.3256462732485114210044978636711 y[1] (numeric) = 2.3256462732485114210044978636707 absolute error = 4e-31 relative error = 1.7199520176439885791848187982725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.501 y[1] (analytic) = 2.3261962682491779876871618641282 y[1] (numeric) = 2.3261962682491779876871618641278 absolute error = 4e-31 relative error = 1.7195453602075537107717025487818e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.39 Order of pole = 2.060e-26 TOP MAIN SOLVE Loop x[1] = 3.502 y[1] (analytic) = 2.3267462532538431548496605888316 y[1] (numeric) = 2.3267462532538431548496605888312 absolute error = 4e-31 relative error = 1.7191389024076826814118656118950e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.503 y[1] (analytic) = 2.3272962282665033248905548629179 y[1] (numeric) = 2.3272962282665033248905548629175 absolute error = 4e-31 relative error = 1.7187326440946528426852416711536e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.504 y[1] (analytic) = 2.3278461932911525040442493482605 y[1] (numeric) = 2.3278461932911525040442493482601 absolute error = 4e-31 relative error = 1.7183265851188927377629499640240e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.505 y[1] (analytic) = 2.3283961483317823042962002134012 y[1] (numeric) = 2.3283961483317823042962002134008 absolute error = 4e-31 relative error = 1.7179207253309819095060138254585e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.506 y[1] (analytic) = 2.3289460933923819452962097001878 y[1] (numeric) = 2.3289460933923819452962097001874 absolute error = 4e-31 relative error = 1.7175150645816507088573074418516e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.507 y[1] (analytic) = 2.3294960284769382562698098798602 y[1] (numeric) = 2.3294960284769382562698098798598 absolute error = 4e-31 relative error = 1.7171096027217801035262070893694e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.508 y[1] (analytic) = 2.3300459535894356779277378881238 y[1] (numeric) = 2.3300459535894356779277378881233 absolute error = 5e-31 relative error = 2.1458804245030018587067802510787e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.509 y[1] (analytic) = 2.3305958687338562643735049255488 y[1] (numeric) = 2.3305958687338562643735049255483 absolute error = 5e-31 relative error = 2.1453740938433706095493733416820e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.51 y[1] (analytic) = 2.3311457739141796850090613064392 y[1] (numeric) = 2.3311457739141796850090613064387 absolute error = 5e-31 relative error = 2.1448680112374959732305398666640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.511 y[1] (analytic) = 2.3316956691343832264385598361248 y[1] (numeric) = 2.3316956691343832264385598361243 absolute error = 5e-31 relative error = 2.1443621764997298590724250252452e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.867 Order of pole = 6.69e-28 TOP MAIN SOLVE Loop x[1] = 3.512 y[1] (analytic) = 2.3322455543984417943702197934465 y[1] (numeric) = 2.332245554398441794370219793446 absolute error = 5e-31 relative error = 2.1438565894446112570997614101853e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.513 y[1] (analytic) = 2.3327954297103279155162937920237 y[1] (numeric) = 2.3327954297103279155162937920232 absolute error = 5e-31 relative error = 2.1433512498868660010772935817200e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.514 y[1] (analytic) = 2.3333452950740117394911397907207 y[1] (numeric) = 2.3333452950740117394911397907201 absolute error = 6e-31 relative error = 2.5714153891696878382902455167520e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.515 y[1] (analytic) = 2.333895150493461040707400520556 y[1] (numeric) = 2.3338951504934610407074005205555 absolute error = 5e-31 relative error = 2.1423413125233316613952337894937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.516 y[1] (analytic) = 2.3344449959726412202702925921388 y[1] (numeric) = 2.3344449959726412202702925921383 absolute error = 5e-31 relative error = 2.1418367143479263363568430646517e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.517 y[1] (analytic) = 2.334994831515515307870007544552 y[1] (numeric) = 2.3349948315155153078700075445515 absolute error = 5e-31 relative error = 2.1413323629306614031094569716073e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.518 y[1] (analytic) = 2.3355446571260439636722270934529 y[1] (numeric) = 2.3355446571260439636722270934524 absolute error = 5e-31 relative error = 2.1408282580871933723034697641800e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.519 y[1] (analytic) = 2.3360944728081854802067548330082 y[1] (numeric) = 2.3360944728081854802067548330077 absolute error = 5e-31 relative error = 2.1403243996333641841193806519196e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.52 y[1] (analytic) = 2.336644278565895784254266643139 y[1] (numeric) = 2.3366442785658957842542666431385 absolute error = 5e-31 relative error = 2.1398207873852009738210864017507e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 16.58 Order of pole = 3.477e-26 TOP MAIN SOLVE Loop x[1] = 3.521 y[1] (analytic) = 2.3371940744031284387311820504114 y[1] (numeric) = 2.337194074403128438731182050411 absolute error = 4e-31 relative error = 1.7114539369271326701328227345503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.522 y[1] (analytic) = 2.3377438603238346445726587877739 y[1] (numeric) = 2.3377438603238346445726587877735 absolute error = 4e-31 relative error = 1.7110514406167244793372475135002e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.523 y[1] (analytic) = 2.3382936363319632426137127952127 y[1] (numeric) = 2.3382936363319632426137127952123 absolute error = 4e-31 relative error = 1.7106491408302012605895167189238e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.357 Order of pole = 2.88e-28 TOP MAIN SOLVE Loop x[1] = 3.524 y[1] (analytic) = 2.3388434024314607154684659002748 y[1] (numeric) = 2.3388434024314607154684659002744 absolute error = 4e-31 relative error = 1.7102470374209754764960196966773e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.525 y[1] (analytic) = 2.3393931586262711894075234142859 y[1] (numeric) = 2.3393931586262711894075234142855 absolute error = 4e-31 relative error = 1.7098451302426068122151449191671e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.526 y[1] (analytic) = 2.3399429049203364362334838769778 y[1] (numeric) = 2.3399429049203364362334838769774 absolute error = 4e-31 relative error = 1.7094434191488019896052172844983e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 34.36 Order of pole = 7.349e-26 TOP MAIN SOLVE Loop memory used=415.8MB, alloc=4.4MB, time=48.82 x[1] = 3.527 y[1] (analytic) = 2.3404926413175958751545831791309 y[1] (numeric) = 2.3404926413175958751545831791305 absolute error = 4e-31 relative error = 1.7090419039934145816548868913595e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.528 y[1] (analytic) = 2.3410423678219865746564752897324 y[1] (numeric) = 2.3410423678219865746564752897319 absolute error = 5e-31 relative error = 2.1358007307880560339943344122068e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.529 y[1] (analytic) = 2.3415920844374432543721518110501 y[1] (numeric) = 2.3415920844374432543721518110497 absolute error = 4e-31 relative error = 1.7082394609140394458947241476142e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 23.96 Order of pole = 1.132e-25 TOP MAIN SOLVE Loop x[1] = 3.53 y[1] (analytic) = 2.3421417911678982869500025819313 y[1] (numeric) = 2.3421417911678982869500025819308 absolute error = 5e-31 relative error = 2.1347981658731143169145119631343e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.531 y[1] (analytic) = 2.3426914880172816999200195465403 y[1] (numeric) = 2.3426914880172816999200195465399 absolute error = 4e-31 relative error = 1.7074377998382399775514517674575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.532 y[1] (analytic) = 2.343241174989521177558146102671 y[1] (numeric) = 2.3432411749895211775581461026706 absolute error = 4e-31 relative error = 1.7070372621878700729010939679466e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.533 y[1] (analytic) = 2.3437908520885420627487741406838 y[1] (numeric) = 2.3437908520885420627487741406833 absolute error = 5e-31 relative error = 2.1332961495026406726793636829281e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.534 y[1] (analytic) = 2.3443405193182673588453909810464 y[1] (numeric) = 2.3443405193182673588453909810459 absolute error = 5e-31 relative error = 2.1327959649198046648140822473658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.535 y[1] (analytic) = 2.344890176682617731529378415387 y[1] (numeric) = 2.3448901766826177315293784153866 absolute error = 4e-31 relative error = 1.7058368190440853892787325364384e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.536 y[1] (analytic) = 2.345439824185511510666966052901 y[1] (numeric) = 2.3454398241855115106669660529006 absolute error = 4e-31 relative error = 1.7054370607820044393118908476143e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.537 y[1] (analytic) = 2.3459894618308646921643411708941 y[1] (numeric) = 2.3459894618308646921643411708937 absolute error = 4e-31 relative error = 1.7050374970049128216959003326224e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.538 y[1] (analytic) = 2.3465390896225909398209172651902 y[1] (numeric) = 2.3465390896225909398209172651899 absolute error = 3e-31 relative error = 1.2784785956762004784046569325362e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.539 y[1] (analytic) = 2.3470887075646015871807634930796 y[1] (numeric) = 2.3470887075646015871807634930793 absolute error = 3e-31 relative error = 1.2781792142457519765721352799599e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.54 y[1] (analytic) = 2.347638315660805639382197198438 y[1] (numeric) = 2.3476383156608056393821971984377 absolute error = 3e-31 relative error = 1.2778799783541485196155433216839e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.541 y[1] (analytic) = 2.3481879139151097750055417056078 y[1] (numeric) = 2.3481879139151097750055417056074 absolute error = 4e-31 relative error = 1.7034411838577436377021188670660e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.542 y[1] (analytic) = 2.3487375023314183479190515655942 y[1] (numeric) = 2.3487375023314183479190515655938 absolute error = 4e-31 relative error = 1.7030425903403403988708578378475e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.543 y[1] (analytic) = 2.3492870809136333891230074351006 y[1] (numeric) = 2.3492870809136333891230074351002 absolute error = 4e-31 relative error = 1.7026441904428331584810465291879e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.544 y[1] (analytic) = 2.3498366496656546085919827658977 y[1] (numeric) = 2.3498366496656546085919827658973 absolute error = 4e-31 relative error = 1.7022459840215438378665208601021e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.545 y[1] (analytic) = 2.3503862085913793971152844790029 y[1] (numeric) = 2.3503862085913793971152844790025 absolute error = 4e-31 relative error = 1.7018479709329379169705411199181e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.546 y[1] (analytic) = 2.3509357576947028281355697951274 y[1] (numeric) = 2.350935757694702828135569795127 absolute error = 4e-31 relative error = 1.7014501510336242540485757983339e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.547 y[1] (analytic) = 2.3514852969795176595856413898362 y[1] (numeric) = 2.3514852969795176595856413898358 absolute error = 4e-31 relative error = 1.7010525241803549056436928298740e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.548 y[1] (analytic) = 2.3520348264497143357234230388613 y[1] (numeric) = 2.3520348264497143357234230388609 absolute error = 4e-31 relative error = 1.7006550902300249468340764528169e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.549 y[1] (analytic) = 2.3525843461091809889651179160027 y[1] (numeric) = 2.3525843461091809889651179160023 absolute error = 4e-31 relative error = 1.7002578490396722917521888569337e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.55 y[1] (analytic) = 2.3531338559618034417165517030572 y[1] (numeric) = 2.3531338559618034417165517030567 absolute error = 5e-31 relative error = 2.1248260005830968929688709580391e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.551 y[1] (analytic) = 2.3536833560114652082027026682188 y[1] (numeric) = 2.3536833560114652082027026682183 absolute error = 5e-31 relative error = 2.1243299304597045869818550929203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.552 y[1] (analytic) = 2.3542328462620474962954208664103 y[1] (numeric) = 2.3542328462620474962954208664098 absolute error = 5e-31 relative error = 2.1238341007512451431285907652336e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 11.11 Order of pole = 1.899e-26 TOP MAIN SOLVE Loop x[1] = 3.553 y[1] (analytic) = 2.354782326717429209339338612017 y[1] (numeric) = 2.3547823267174292093393386120166 absolute error = 4e-31 relative error = 1.6986708090237823300845741043375e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.554 y[1] (analytic) = 2.3553317973814869479759743715205 y[1] (numeric) = 2.3553317973814869479759743715201 absolute error = 4e-31 relative error = 1.6982745294938717429958973194140e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.555 y[1] (analytic) = 2.3558812582580950119660322205506 y[1] (numeric) = 2.3558812582580950119660322205501 absolute error = 5e-31 relative error = 2.1223480523364444346864192406377e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.556 y[1] (analytic) = 2.3564307093511254020098990069089 y[1] (numeric) = 2.3564307093511254020098990069084 absolute error = 5e-31 relative error = 2.1218531825095831613885740632196e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.557 y[1] (analytic) = 2.3569801506644478215663413581506 y[1] (numeric) = 2.3569801506644478215663413581502 absolute error = 4e-31 relative error = 1.6970868417675788847770440301324e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.558 y[1] (analytic) = 2.3575295822019296786694046693504 y[1] (numeric) = 2.3575295822019296786694046693499 absolute error = 5e-31 relative error = 2.1208641612590100603944454137081e-29 % Correct digits = 30 memory used=419.6MB, alloc=4.4MB, time=49.27 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.947 Order of pole = 7.326e-27 TOP MAIN SOLVE Loop x[1] = 3.559 y[1] (analytic) = 2.3580790039674360877435162037244 y[1] (numeric) = 2.358079003967436087743516203724 absolute error = 4e-31 relative error = 1.6962960075850105123755311017886e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.56 y[1] (analytic) = 2.3586284159648298714167944358308 y[1] (numeric) = 2.3586284159648298714167944358303 absolute error = 5e-31 relative error = 2.1198760966994795652039598800399e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.561 y[1] (analytic) = 2.3591778181979715623325667641204 y[1] (numeric) = 2.35917781819797156233256676412 absolute error = 4e-31 relative error = 1.6955059381896655491834772479875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.562 y[1] (analytic) = 2.3597272106707194049590977166757 y[1] (numeric) = 2.3597272106707194049590977166753 absolute error = 4e-31 relative error = 1.6951111899341348152475086413418e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.563 y[1] (analytic) = 2.3602765933869293573975297710305 y[1] (numeric) = 2.3602765933869293573975297710301 absolute error = 4e-31 relative error = 1.6947166324520104167445929339145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.564 y[1] (analytic) = 2.3608259663504550931880389060391 y[1] (numeric) = 2.3608259663504550931880389060387 absolute error = 4e-31 relative error = 1.6943222656024514991791324839764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.565 y[1] (analytic) = 2.3613753295651480031142070008299 y[1] (numeric) = 2.3613753295651480031142070008295 absolute error = 4e-31 relative error = 1.6939280892447572119714736109790e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.566 y[1] (analytic) = 2.3619246830348571970056131929601 y[1] (numeric) = 2.3619246830348571970056131929597 absolute error = 4e-31 relative error = 1.6935341032383665335223967368467e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.567 y[1] (analytic) = 2.362474026763429505538646304967 y[1] (numeric) = 2.3624740267634295055386463049665 absolute error = 5e-31 relative error = 2.1164253843035726206759506914775e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.568 y[1] (analytic) = 2.3630233607547094820355404455994 y[1] (numeric) = 2.3630233607547094820355404455989 absolute error = 5e-31 relative error = 2.1159333771474375170422968560087e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.569 y[1] (analytic) = 2.3635726850125394042616358891041 y[1] (numeric) = 2.3635726850125394042616358891036 absolute error = 5e-31 relative error = 2.1154416074043746289498483137865e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.57 y[1] (analytic) = 2.3641219995407592762208673330356 y[1] (numeric) = 2.3641219995407592762208673330352 absolute error = 4e-31 relative error = 1.6919600599195037153424474548764e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.571 y[1] (analytic) = 2.3646713043432068299494816321612 y[1] (numeric) = 2.3646713043432068299494816321607 absolute error = 5e-31 relative error = 2.1144587794576219483075773216147e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.572 y[1] (analytic) = 2.3652205994237175273079871031341 y[1] (numeric) = 2.3652205994237175273079871031336 absolute error = 5e-31 relative error = 2.1139677209044444080158578974249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.573 y[1] (analytic) = 2.3657698847861245617713364917213 y[1] (numeric) = 2.3657698847861245617713364917208 absolute error = 5e-31 relative error = 2.1134768990653631546982691335368e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.574 y[1] (analytic) = 2.3663191604342588602173456914822 y[1] (numeric) = 2.3663191604342588602173456914817 absolute error = 5e-31 relative error = 2.1129863137660673684141140142953e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.575 y[1] (analytic) = 2.3668684263719490847133502999156 y[1] (numeric) = 2.3668684263719490847133502999151 absolute error = 5e-31 relative error = 2.1124959648324190621570004779991e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.576 y[1] (analytic) = 2.3674176826030216343011020952153 y[1] (numeric) = 2.3674176826030216343011020952148 absolute error = 5e-31 relative error = 2.1120058520904528664489899714716e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.749 Order of pole = 3.881e-27 TOP MAIN SOLVE Loop x[1] = 3.577 y[1] (analytic) = 2.3679669291313006467799075139 y[1] (numeric) = 2.3679669291313006467799075138994 absolute error = 6e-31 relative error = 2.5338191704396509771095477629457e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.578 y[1] (analytic) = 2.3685161659606080004880102067184 y[1] (numeric) = 2.3685161659606080004880102067178 absolute error = 6e-31 relative error = 2.5332316013838805514851068764996e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.579 y[1] (analytic) = 2.3690653930947633160822197473645 y[1] (numeric) = 2.369065393094763316082219747364 absolute error = 5e-31 relative error = 2.1105369292775779962894723740090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.58 y[1] (analytic) = 2.3696146105375839583157885656805 y[1] (numeric) = 2.36961461053758395831578856568 absolute error = 5e-31 relative error = 2.1100477595661313774466801484877e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.581 y[1] (analytic) = 2.3701638182928850378145391741692 y[1] (numeric) = 2.3701638182928850378145391741687 absolute error = 5e-31 relative error = 2.1095588251791217680783185789085e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.582 y[1] (analytic) = 2.3707130163644794128512437537898 y[1] (numeric) = 2.3707130163644794128512437537893 absolute error = 5e-31 relative error = 2.1090701259436149984144569648785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.583 y[1] (analytic) = 2.3712622047561776911182581621634 y[1] (numeric) = 2.3712622047561776911182581621629 absolute error = 5e-31 relative error = 2.1085816616868480173908845000335e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.584 y[1] (analytic) = 2.3718113834717882314984124244753 y[1] (numeric) = 2.3718113834717882314984124244748 absolute error = 5e-31 relative error = 2.1080934322362286798131330742746e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.585 y[1] (analytic) = 2.3723605525151171458341597645231 y[1] (numeric) = 2.3723605525151171458341597645226 absolute error = 5e-31 relative error = 2.1076054374193355338392071091167e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.586 y[1] (analytic) = 2.3729097118899683006949862305296 y[1] (numeric) = 2.3729097118899683006949862305291 absolute error = 5e-31 relative error = 2.1071176770639176087804625629553e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.587 y[1] (analytic) = 2.3734588616001433191430829675102 y[1] (numeric) = 2.3734588616001433191430829675097 absolute error = 5e-31 relative error = 2.1066301509978942032200783603207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.588 y[1] (analytic) = 2.3740080016494415824972831851619 y[1] (numeric) = 2.3740080016494415824972831851614 absolute error = 5e-31 relative error = 2.1061428590493546734485646139330e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.589 y[1] (analytic) = 2.3745571320416602320952658674229 y[1] (numeric) = 2.3745571320416602320952658674224 absolute error = 5e-31 relative error = 2.1056558010465582222157531206035e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=423.4MB, alloc=4.4MB, time=49.72 TOP MAIN SOLVE Loop x[1] = 3.59 y[1] (analytic) = 2.3751062527805941710540282670373 y[1] (numeric) = 2.3751062527805941710540282670368 absolute error = 5e-31 relative error = 2.1051689768179336877987167217484e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.591 y[1] (analytic) = 2.3756553638700360660286292256488 y[1] (numeric) = 2.3756553638700360660286292256484 absolute error = 4e-31 relative error = 1.6837459089536634667080521812097e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.592 y[1] (analytic) = 2.3762044653137763489692053571432 y[1] (numeric) = 2.3762044653137763489692053571428 absolute error = 4e-31 relative error = 1.6833568231982101094168533601772e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 33.48 Order of pole = 2.191e-25 TOP MAIN SOLVE Loop x[1] = 3.593 y[1] (analytic) = 2.3767535571156032188762621291572 y[1] (numeric) = 2.3767535571156032188762621291568 absolute error = 4e-31 relative error = 1.6829679240511360642992352185123e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.076 Order of pole = 1.227e-26 TOP MAIN SOLVE Loop x[1] = 3.594 y[1] (analytic) = 2.3773026392793026435542418748759 y[1] (numeric) = 2.3773026392793026435542418748754 absolute error = 5e-31 relative error = 2.1032240142196569415584977242539e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.595 y[1] (analytic) = 2.3778517118086583613633707644475 y[1] (numeric) = 2.377851711808658361363370764447 absolute error = 5e-31 relative error = 2.1027383562942470832754071920971e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.596 y[1] (analytic) = 2.3784007747074518829697867625578 y[1] (numeric) = 2.3784007747074518829697867625573 absolute error = 5e-31 relative error = 2.1022529311171327450141634594634e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.597 y[1] (analytic) = 2.3789498279794624930939505959214 y[1] (numeric) = 2.3789498279794624930939505959209 absolute error = 5e-31 relative error = 2.1017677385179243340665878511811e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.598 y[1] (analytic) = 2.3794988716284672522573417516694 y[1] (numeric) = 2.3794988716284672522573417516689 absolute error = 5e-31 relative error = 2.1012827783264002171024918740456e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.599 y[1] (analytic) = 2.3800479056582409985274415248382 y[1] (numeric) = 2.3800479056582409985274415248377 absolute error = 5e-31 relative error = 2.1007980503725065120562348154404e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.6 y[1] (analytic) = 2.3805969300725563492610051303924 y[1] (numeric) = 2.3805969300725563492610051303919 absolute error = 5e-31 relative error = 2.1003135544863568803237366021887e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.601 y[1] (analytic) = 2.381145944875183702845624892451 y[1] (numeric) = 2.3811459448751837028456248924505 absolute error = 5e-31 relative error = 2.0998292904982323192694045537356e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.602 y[1] (analytic) = 2.381694950069891240439586520622 y[1] (numeric) = 2.3816949500698912404395865206216 absolute error = 4e-31 relative error = 1.6794762065908647640339469951207e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.603 y[1] (analytic) = 2.3822439456604449277100204805958 y[1] (numeric) = 2.3822439456604449277100204805954 absolute error = 4e-31 relative error = 1.6790891660304142685615534105144e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.604 y[1] (analytic) = 2.3827929316506085165693504633912 y[1] (numeric) = 2.3827929316506085165693504633908 absolute error = 4e-31 relative error = 1.6787023105818597797203197988547e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.605 y[1] (analytic) = 2.3833419080441435469100409549036 y[1] (numeric) = 2.3833419080441435469100409549032 absolute error = 4e-31 relative error = 1.6783156401099599154998580974294e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.606 y[1] (analytic) = 2.3838908748448093483376459046568 y[1] (numeric) = 2.3838908748448093483376459046565 absolute error = 3e-31 relative error = 1.2584468658597047522971095271090e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.607 y[1] (analytic) = 2.3844398320563630419021604899218 y[1] (numeric) = 2.3844398320563630419021604899214 absolute error = 4e-31 relative error = 1.6775428535558235808956085401833e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.608 y[1] (analytic) = 2.384988779682559541827677968628 y[1] (numeric) = 2.3849887796825595418276779686277 absolute error = 3e-31 relative error = 1.2578675529028266759030920142972e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.75 Order of pole = 5.673e-27 TOP MAIN SOLVE Loop x[1] = 3.609 y[1] (analytic) = 2.3855377177271515572403536117656 y[1] (numeric) = 2.3855377177271515572403536117653 absolute error = 3e-31 relative error = 1.2575781039665490744153899811328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.61 y[1] (analytic) = 2.3860866461938895938946777032428 y[1] (numeric) = 2.3860866461938895938946777032425 absolute error = 3e-31 relative error = 1.2572887932571015220656204081798e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.611 y[1] (analytic) = 2.386635565086521955898059592447 y[1] (numeric) = 2.3866355650865219558980595924468 absolute error = 2e-31 relative error = 8.3799974711576655099307738478246e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.021 Order of pole = 1.521e-26 TOP MAIN SOLVE Loop x[1] = 3.612 y[1] (analytic) = 2.3871844744087947474337247820344 y[1] (numeric) = 2.3871844744087947474337247820342 absolute error = 2e-31 relative error = 8.3780705741030589308690428583977e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.613 y[1] (analytic) = 2.3877333741644518744819270307599 y[1] (numeric) = 2.3877333741644518744819270307597 absolute error = 2e-31 relative error = 8.3761445965459489029893478722915e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.614 y[1] (analytic) = 2.3882822643572350465394774484502 y[1] (numeric) = 2.38828226435723504653947744845 absolute error = 2e-31 relative error = 8.3742195378160859187607605238443e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.615 y[1] (analytic) = 2.3888311449908837783375925575153 y[1] (numeric) = 2.3888311449908837783375925575151 absolute error = 2e-31 relative error = 8.3722953972438783238755993226605e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.616 y[1] (analytic) = 2.389380016069135391558063292692 y[1] (numeric) = 2.3893800160691353915580632926918 absolute error = 2e-31 relative error = 8.3703721741603915056150297106933e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.617 y[1] (analytic) = 2.3899288775957250165477469080168 y[1] (numeric) = 2.3899288775957250165477469080166 absolute error = 2e-31 relative error = 8.3684498678973470824202533299627e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.618 y[1] (analytic) = 2.3904777295743855940313837573312 y[1] (numeric) = 2.390477729574385594031383757331 absolute error = 2e-31 relative error = 8.3665284777871220946671931828956e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.728 Order of pole = 1.871e-27 TOP MAIN SOLVE Loop x[1] = 3.619 y[1] (analytic) = 2.3910265720088478768227409119329 y[1] (numeric) = 2.3910265720088478768227409119327 absolute error = 2e-31 relative error = 8.3646080031627481966425855260857e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.62 y[1] (analytic) = 2.3915754049028404315340845763032 y[1] (numeric) = 2.3915754049028404315340845763031 absolute error = 1e-31 relative error = 4.1813442216789554248596967438860e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.621 memory used=427.2MB, alloc=4.4MB, time=50.17 y[1] (analytic) = 2.3921242282600896402839832601586 y[1] (numeric) = 2.3921242282600896402839832601584 absolute error = 2e-31 relative error = 8.3607697977069485167294615395689e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.622 y[1] (analytic) = 2.3926730420843197024034436623978 y[1] (numeric) = 2.3926730420843197024034436623977 absolute error = 1e-31 relative error = 4.1794260327724259287656670419773e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.623 y[1] (analytic) = 2.3932218463792526361403812198466 y[1] (numeric) = 2.3932218463792526361403812198465 absolute error = 1e-31 relative error = 4.1784676231036314628855827703769e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.624 y[1] (analytic) = 2.3937706411486082803624272710282 y[1] (numeric) = 2.3937706411486082803624272710281 absolute error = 1e-31 relative error = 4.1775096695152371834173267142029e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.625 y[1] (analytic) = 2.3943194263961042962580747825303 y[1] (numeric) = 2.3943194263961042962580747825302 absolute error = 1e-31 relative error = 4.1765521716757143084939650195634e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.626 y[1] (analytic) = 2.3948682021254561690361645828743 y[1] (numeric) = 2.3948682021254561690361645828743 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.627 y[1] (analytic) = 2.39541696834037720962371404614 y[1] (numeric) = 2.39541696834037720962371404614 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.628 y[1] (analytic) = 2.3959657250445785563620901649453 y[1] (numeric) = 2.3959657250445785563620901649453 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.629 y[1] (analytic) = 2.3965144722417691767015289497346 y[1] (numeric) = 2.3965144722417691767015289497346 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.63 y[1] (analytic) = 2.3970632099356558688940030886862 y[1] (numeric) = 2.3970632099356558688940030886862 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.631 y[1] (analytic) = 2.3976119381299432636844397999084 y[1] (numeric) = 2.3976119381299432636844397999083 absolute error = 1e-31 relative error = 4.1708167368401009609025862295625e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.632 y[1] (analytic) = 2.3981606568283338260002908049601 y[1] (numeric) = 2.3981606568283338260002908049601 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.633 y[1] (analytic) = 2.3987093660345278566394563501023 y[1] (numeric) = 2.3987093660345278566394563501023 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.634 y[1] (analytic) = 2.3992580657522234939565651990552 y[1] (numeric) = 2.3992580657522234939565651990552 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.635 y[1] (analytic) = 2.3998067559851167155476125184195 y[1] (numeric) = 2.3998067559851167155476125184195 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.636 y[1] (analytic) = 2.4003554367369013399329575742959 y[1] (numeric) = 2.4003554367369013399329575742959 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.637 y[1] (analytic) = 2.4009041080112690282386831560261 y[1] (numeric) = 2.4009041080112690282386831560261 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.638 y[1] (analytic) = 2.4014527698119092858763186403662 y[1] (numeric) = 2.4014527698119092858763186403662 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.639 y[1] (analytic) = 2.4020014221425094642209286067974 y[1] (numeric) = 2.4020014221425094642209286067974 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.64 y[1] (analytic) = 2.4025500650067547622875689120772 y[1] (numeric) = 2.4025500650067547622875689120772 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.641 y[1] (analytic) = 2.4030986984083282284061121295345 y[1] (numeric) = 2.4030986984083282284061121295345 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.642 y[1] (analytic) = 2.4036473223509107618944442560196 y[1] (numeric) = 2.4036473223509107618944442560196 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.821 Order of pole = 3.424e-27 TOP MAIN SOLVE Loop x[1] = 3.643 y[1] (analytic) = 2.404195936838181114730034586828 y[1] (numeric) = 2.404195936838181114730034586828 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.644 y[1] (analytic) = 2.4047445418738158932198806563319 y[1] (numeric) = 2.4047445418738158932198806563319 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.645 y[1] (analytic) = 2.4052931374614895596688301394708 y[1] (numeric) = 2.4052931374614895596688301394708 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 14.3 Order of pole = 2.68e-28 TOP MAIN SOLVE Loop x[1] = 3.646 y[1] (analytic) = 2.4058417236048744340462816066742 y[1] (numeric) = 2.4058417236048744340462816066742 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.647 y[1] (analytic) = 2.4063903003076406956512660222153 y[1] (numeric) = 2.4063903003076406956512660222152 absolute error = 1e-31 relative error = 4.1556018567401837324322480650696e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.648 y[1] (analytic) = 2.4069388675734563847759108734242 y[1] (numeric) = 2.4069388675734563847759108734242 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.649 y[1] (analytic) = 2.4074874254059874043672888156247 y[1] (numeric) = 2.4074874254059874043672888156247 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.65 y[1] (analytic) = 2.4080359738088975216876527150923 y[1] (numeric) = 2.4080359738088975216876527150923 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.839 Order of pole = 5.669e-27 TOP MAIN SOLVE Loop x[1] = 3.651 y[1] (analytic) = 2.4085845127858483699730589697784 y[1] (numeric) = 2.4085845127858483699730589697785 absolute error = 1e-31 relative error = 4.1518161172736554040469655151042e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.652 y[1] (analytic) = 2.4091330423404994500903809849873 y[1] (numeric) = 2.4091330423404994500903809849874 absolute error = 1e-31 relative error = 4.1508708005120751546395580506015e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.653 y[1] (analytic) = 2.4096815624765081321927146786432 y[1] (numeric) = 2.4096815624765081321927146786432 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.776 Order of pole = 4.192e-27 memory used=431.0MB, alloc=4.4MB, time=50.61 TOP MAIN SOLVE Loop x[1] = 3.654 y[1] (analytic) = 2.4102300731975296573731778882394 y[1] (numeric) = 2.4102300731975296573731778882394 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.77 Order of pole = 2.125e-26 TOP MAIN SOLVE Loop x[1] = 3.655 y[1] (analytic) = 2.4107785745072171393171055490189 y[1] (numeric) = 2.4107785745072171393171055490189 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.656 y[1] (analytic) = 2.4113270664092215659526425103956 y[1] (numeric) = 2.4113270664092215659526425103957 absolute error = 1e-31 relative error = 4.1470939962081940570391626528363e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.657 y[1] (analytic) = 2.4118755489071918010997358550938 y[1] (numeric) = 2.4118755489071918010997358550938 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.658 y[1] (analytic) = 2.4124240220047745861175285829493 y[1] (numeric) = 2.4124240220047745861175285829493 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.659 y[1] (analytic) = 2.4129724857056145415501565187943 y[1] (numeric) = 2.4129724857056145415501565187943 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.66 y[1] (analytic) = 2.4135209400133541687709503013186 y[1] (numeric) = 2.4135209400133541687709503013186 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.661 y[1] (analytic) = 2.4140693849316338516250443072868 y[1] (numeric) = 2.4140693849316338516250443072869 absolute error = 1e-31 relative error = 4.1423830078865768687684463434050e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.662 y[1] (analytic) = 2.4146178204640918580703943629738 y[1] (numeric) = 2.4146178204640918580703943629738 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.663 y[1] (analytic) = 2.4151662466143643418172060921682 y[1] (numeric) = 2.4151662466143643418172060921682 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.664 y[1] (analytic) = 2.415714663386085343965775747591 y[1] (numeric) = 2.415714663386085343965775747591 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.665 y[1] (analytic) = 2.4162630707828867946427453700676 y[1] (numeric) = 2.4162630707828867946427453700676 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.666 y[1] (analytic) = 2.4168114688083985146357741172972 y[1] (numeric) = 2.4168114688083985146357741172972 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.667 y[1] (analytic) = 2.4173598574662482170266276015646 y[1] (numeric) = 2.4173598574662482170266276015646 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.668 y[1] (analytic) = 2.4179082367600615088226870732497 y[1] (numeric) = 2.4179082367600615088226870732496 absolute error = 1e-31 relative error = 4.1358062510262001773696449766731e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.669 y[1] (analytic) = 2.4184566066934618925868802845009 y[1] (numeric) = 2.4184566066934618925868802845008 absolute error = 1e-31 relative error = 4.1348684827850189164527265292558e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.67 y[1] (analytic) = 2.4190049672700707680660358649567 y[1] (numeric) = 2.4190049672700707680660358649566 absolute error = 1e-31 relative error = 4.1339311557038014290472347955288e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.671 y[1] (analytic) = 2.4195533184935074338176630389171 y[1] (numeric) = 2.419553318493507433817663038917 absolute error = 1e-31 relative error = 4.1329942694655413268693894364609e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.672 y[1] (analytic) = 2.4201016603673890888351585108922 y[1] (numeric) = 2.4201016603673890888351585108921 absolute error = 1e-31 relative error = 4.1320578237535389489039065118377e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.673 y[1] (analytic) = 2.4206499928953308341714423439822 y[1] (numeric) = 2.420649992895330834171442343982 absolute error = 2e-31 relative error = 8.2622436365028019766693536284273e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.122 Order of pole = 3.697e-27 TOP MAIN SOLVE Loop x[1] = 3.674 y[1] (analytic) = 2.4211983160809456745610246530743 y[1] (numeric) = 2.4211983160809456745610246530741 absolute error = 2e-31 relative error = 8.2603725052860802400435326641409e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.675 y[1] (analytic) = 2.4217466299278445200405049323782 y[1] (numeric) = 2.421746629927844520040504932378 absolute error = 2e-31 relative error = 8.2585022532253492570476072257393e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.676 y[1] (analytic) = 2.4222949344396361875675058343593 y[1] (numeric) = 2.4222949344396361875675058343591 absolute error = 2e-31 relative error = 8.2566328796896560733296412571341e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.677 y[1] (analytic) = 2.422843229619927402638043214673 y[1] (numeric) = 2.4228432296199274026380432146729 absolute error = 1e-31 relative error = 4.1273821920243287346446155739920e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.678 y[1] (analytic) = 2.4233915154723228009023342552498 y[1] (numeric) = 2.4233915154723228009023342552497 absolute error = 1e-31 relative error = 4.1264483828363096096917078523031e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.679 y[1] (analytic) = 2.4239397920004249297790454752303 y[1] (numeric) = 2.4239397920004249297790454752302 absolute error = 1e-31 relative error = 4.1255150119662076762579573215205e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.68 y[1] (analytic) = 2.4244880592078342500679824370056 y[1] (numeric) = 2.4244880592078342500679824370054 absolute error = 2e-31 relative error = 8.2491641581995274135078433838248e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.681 y[1] (analytic) = 2.425036317098149137561222952174 y[1] (numeric) = 2.4250363170981491375612229521739 absolute error = 1e-31 relative error = 4.1236495839230218628240277757916e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.682 y[1] (analytic) = 2.4255845656749658846526955897895 y[1] (numeric) = 2.4255845656749658846526955897894 absolute error = 1e-31 relative error = 4.1227175261223293271606340990655e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.683 y[1] (analytic) = 2.4261328049418787019462052868392 y[1] (numeric) = 2.426132804941878701946205286839 absolute error = 2e-31 relative error = 8.2435718107686718717121283753882e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.684 y[1] (analytic) = 2.426681034902479719861907858461 y[1] (numeric) = 2.4266810349024797198619078584609 absolute error = 1e-31 relative error = 4.1208547213959938112916916420390e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.685 y[1] (analytic) = 2.4272292555603589902412352029825 y[1] (numeric) = 2.4272292555603589902412352029823 absolute error = 2e-31 relative error = 8.2398479476891139911263198159384e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.896 Order of pole = 1.861e-26 TOP MAIN SOLVE Loop memory used=434.8MB, alloc=4.4MB, time=51.06 x[1] = 3.686 y[1] (analytic) = 2.427777466919104487950272994438 y[1] (numeric) = 2.4277774669191044879502729944378 absolute error = 2e-31 relative error = 8.2379873248351621688816428910272e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.687 y[1] (analytic) = 2.428325668982302112481592652806 y[1] (numeric) = 2.4283256689823021124815926528058 absolute error = 2e-31 relative error = 8.2361275736058457237289655676503e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.688 y[1] (analytic) = 2.4288738617535356895545393797878 y[1] (numeric) = 2.4288738617535356895545393797876 absolute error = 2e-31 relative error = 8.2342686933774798699430874705630e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.689 y[1] (analytic) = 2.4294220452363869727139780455399 y[1] (numeric) = 2.4294220452363869727139780455397 absolute error = 2e-31 relative error = 8.2324106835269807393152416433368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.69 y[1] (analytic) = 2.4299702194344356449274987093632 y[1] (numeric) = 2.429970219434435644927498709363 absolute error = 2e-31 relative error = 8.2305535434318646533374934832190e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.691 y[1] (analytic) = 2.4305183843512593201810835549471 y[1] (numeric) = 2.4305183843512593201810835549469 absolute error = 2e-31 relative error = 8.2286972724702473964484789614368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.692 y[1] (analytic) = 2.4310665399904335450732370183661 y[1] (numeric) = 2.4310665399904335450732370183659 absolute error = 2e-31 relative error = 8.2268418700208434903386728687330e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.693 y[1] (analytic) = 2.4316146863555318004075808846302 y[1] (numeric) = 2.43161468635553180040758088463 absolute error = 2e-31 relative error = 8.2249873354629654693133813549837e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.694 y[1] (analytic) = 2.4321628234501255027839161261947 y[1] (numeric) = 2.4321628234501255027839161261945 absolute error = 2e-31 relative error = 8.2231336681765231567116565530746e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.695 y[1] (analytic) = 2.4327109512777840061877532544474 y[1] (numeric) = 2.4327109512777840061877532544472 absolute error = 2e-31 relative error = 8.2212808675420229423793345907928e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.696 y[1] (analytic) = 2.4332590698420746035783129528041 y[1] (numeric) = 2.433259069842074603578312952804 absolute error = 1e-31 relative error = 4.1097144664702835305972009001844e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.697 y[1] (analytic) = 2.4338071791465625284749987576609 y[1] (numeric) = 2.4338071791465625284749987576608 absolute error = 1e-31 relative error = 4.1087889318769264363214487167433e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.698 y[1] (analytic) = 2.4343552791948109565423435510724 y[1] (numeric) = 2.4343552791948109565423435510723 absolute error = 1e-31 relative error = 4.1078638296820860707217823400447e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.699 y[1] (analytic) = 2.4349033699903810071734316266516 y[1] (numeric) = 2.4349033699903810071734316266515 absolute error = 1e-31 relative error = 4.1069391595772051596097326360780e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.7 y[1] (analytic) = 2.4354514515368317450717980878139 y[1] (numeric) = 2.4354514515368317450717980878138 absolute error = 1e-31 relative error = 4.1060149212540229136073882144230e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.701 y[1] (analytic) = 2.4359995238377201818318073351207 y[1] (numeric) = 2.4359995238377201818318073351206 absolute error = 1e-31 relative error = 4.1050911144045746700274961835023e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.702 y[1] (analytic) = 2.4365475868966012775175123971136 y[1] (numeric) = 2.4365475868966012775175123971135 absolute error = 1e-31 relative error = 4.1041677387211915352743780305096e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.703 y[1] (analytic) = 2.4370956407170279422399968566703 y[1] (numeric) = 2.4370956407170279422399968566702 absolute error = 1e-31 relative error = 4.1032447938965000277647751942164e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.704 y[1] (analytic) = 2.437643685302551037733201122555 y[1] (numeric) = 2.4376436853025510377332011225549 absolute error = 1e-31 relative error = 4.1023222796234217213677406212917e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.705 y[1] (analytic) = 2.4381917206567193789282347934849 y[1] (numeric) = 2.4381917206567193789282347934848 absolute error = 1e-31 relative error = 4.1014001955951728893626943154159e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.706 y[1] (analytic) = 2.4387397467830797355261768596828 y[1] (numeric) = 2.4387397467830797355261768596826 absolute error = 2e-31 relative error = 8.2009570830105282978295252067433e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.707 y[1] (analytic) = 2.4392877636851768335693654845397 y[1] (numeric) = 2.4392877636851768335693654845396 absolute error = 1e-31 relative error = 4.0995573170475001060665225534275e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.65 Order of pole = 1.516e-27 TOP MAIN SOLVE Loop x[1] = 3.708 y[1] (analytic) = 2.4398357713665533570111791066719 y[1] (numeric) = 2.4398357713665533570111791066718 absolute error = 1e-31 relative error = 4.0986365219159790012452746887217e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.709 y[1] (analytic) = 2.4403837698307499492843106003132 y[1] (numeric) = 2.440383769830749949284310600313 absolute error = 2e-31 relative error = 8.1954323116101847105699376840403e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.71 y[1] (analytic) = 2.4409317590813052148675362296518 y[1] (numeric) = 2.4409317590813052148675362296517 absolute error = 1e-31 relative error = 4.0967962184095246159619096981442e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.711 y[1] (analytic) = 2.4414797391217557208509811303889 y[1] (numeric) = 2.4414797391217557208509811303888 absolute error = 1e-31 relative error = 4.0958767094242528050433702665843e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.712 y[1] (analytic) = 2.442027709955635998499883049465 y[1] (numeric) = 2.4420277099556359984998830494649 absolute error = 1e-31 relative error = 4.0949576285445461658482432193220e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.713 y[1] (analytic) = 2.44257567158647854481685607158 y[1] (numeric) = 2.4425756715864785448168560715798 absolute error = 2e-31 relative error = 8.1880779509319316226377234353690e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.714 y[1] (analytic) = 2.4431236240178138241026560588081 y[1] (numeric) = 2.4431236240178138241026560588079 absolute error = 2e-31 relative error = 8.1862414997687287452062460743540e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.715 y[1] (analytic) = 2.4436715672531702695154495272946 y[1] (numeric) = 2.4436715672531702695154495272945 absolute error = 1e-31 relative error = 4.0922029514958856481460499806697e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.716 y[1] (analytic) = 2.4442195012960742846285876827042 y[1] (numeric) = 2.444219501296074284628587682704 absolute error = 2e-31 relative error = 8.1825711599939285065798534961629e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.717 y[1] (analytic) = 2.4447674261500502449868873337828 y[1] (numeric) = 2.4447674261500502449868873337826 absolute error = 2e-31 relative error = 8.1807372701686505407642952095981e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=438.7MB, alloc=4.4MB, time=51.50 TOP MAIN SOLVE Loop x[1] = 3.718 y[1] (analytic) = 2.4453153418186204996614204010884 y[1] (numeric) = 2.4453153418186204996614204010882 absolute error = 2e-31 relative error = 8.1789042329099677987798367230274e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.719 y[1] (analytic) = 2.4458632483053053728028137356402 y[1] (numeric) = 2.4458632483053053728028137356399 absolute error = 3e-31 relative error = 1.2265608071418735327062857034878e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.72 y[1] (analytic) = 2.4464111456136231651930609599386 y[1] (numeric) = 2.4464111456136231651930609599384 absolute error = 2e-31 relative error = 8.1752407136714065766986084043914e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.721 y[1] (analytic) = 2.4469590337470901557958480415122 y[1] (numeric) = 2.4469590337470901557958480415119 absolute error = 3e-31 relative error = 1.2260115345723725696836459621825e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 42.45 Order of pole = 1.076e-25 TOP MAIN SOLVE Loop x[1] = 3.722 y[1] (analytic) = 2.447506912709220603305394306852 y[1] (numeric) = 2.4475069127092206033053943068517 absolute error = 3e-31 relative error = 1.2257370896163099382530048185176e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.723 y[1] (analytic) = 2.4480547825035267476938106013096 y[1] (numeric) = 2.4480547825035267476938106013093 absolute error = 3e-31 relative error = 1.2254627720920612617028612497702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.724 y[1] (analytic) = 2.4486026431335188117569762982444 y[1] (numeric) = 2.4486026431335188117569762982441 absolute error = 3e-31 relative error = 1.2251885819092511190944025960904e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.725 y[1] (analytic) = 2.4491504946027050026589368584276 y[1] (numeric) = 2.4491504946027050026589368584273 absolute error = 3e-31 relative error = 1.2249145189775903953016294383203e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.726 y[1] (analytic) = 2.4496983369145915134748236384287 y[1] (numeric) = 2.4496983369145915134748236384284 absolute error = 3e-31 relative error = 1.2246405832068761774029847026110e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.727 y[1] (analytic) = 2.4502461700726825247322976444379 y[1] (numeric) = 2.4502461700726825247322976444376 absolute error = 3e-31 relative error = 1.2243667745069916512227390141141e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.728 y[1] (analytic) = 2.4507939940804802059515189257033 y[1] (numeric) = 2.450793994080480205951518925703 absolute error = 3e-31 relative error = 1.2240930927879059980218792551636e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.729 y[1] (analytic) = 2.4513418089414847171836432994962 y[1] (numeric) = 2.4513418089414847171836432994958 absolute error = 4e-31 relative error = 1.6317593839462323884509970301503e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.73 y[1] (analytic) = 2.4518896146591942105478480972506 y[1] (numeric) = 2.4518896146591942105478480972503 absolute error = 3e-31 relative error = 1.2235461099324373939756801671737e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.731 y[1] (analytic) = 2.452437411237104831766888619265 y[1] (numeric) = 2.4524374112371048317668886192647 absolute error = 3e-31 relative error = 1.2232728086164218551418900847242e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.732 y[1] (analytic) = 2.4529851986787107217011869830924 y[1] (numeric) = 2.452985198678710721701186983092 absolute error = 4e-31 relative error = 1.6306661785625864103131332208122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.733 y[1] (analytic) = 2.4535329769875040178814550484941 y[1] (numeric) = 2.4535329769875040178814550484937 absolute error = 4e-31 relative error = 1.6303021143458518210365557239524e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.734 y[1] (analytic) = 2.4540807461669748560398530995805 y[1] (numeric) = 2.4540807461669748560398530995801 absolute error = 4e-31 relative error = 1.6299382187190026959999383533858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.735 y[1] (analytic) = 2.4546285062206113716396859625131 y[1] (numeric) = 2.4546285062206113716396859625127 absolute error = 4e-31 relative error = 1.6295744915627967274275953325239e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.736 y[1] (analytic) = 2.4551762571518997014036382349007 y[1] (numeric) = 2.4551762571518997014036382349003 absolute error = 4e-31 relative error = 1.6292109327581051732981551449037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.737 y[1] (analytic) = 2.4557239989643239848405503007798 y[1] (numeric) = 2.4557239989643239848405503007794 absolute error = 4e-31 relative error = 1.6288475421859127213780415580463e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.541 Order of pole = 6.166e-27 TOP MAIN SOLVE Loop x[1] = 3.738 y[1] (analytic) = 2.4562717316613663657707368028337 y[1] (numeric) = 2.4562717316613663657707368028333 absolute error = 4e-31 relative error = 1.6284843197273173534509539704894e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.739 y[1] (analytic) = 2.4568194552465069938498492412695 y[1] (numeric) = 2.4568194552465069938498492412691 absolute error = 4e-31 relative error = 1.6281212652635302097430167873091e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.74 y[1] (analytic) = 2.4573671697232240260912843665438 y[1] (numeric) = 2.4573671697232240260912843665434 absolute error = 4e-31 relative error = 1.6277583786758754535432681663414e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.741 y[1] (analytic) = 2.4579148750949936283871400308986 y[1] (numeric) = 2.4579148750949936283871400308981 absolute error = 5e-31 relative error = 2.0342445748072376700239488910372e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.742 y[1] (analytic) = 2.458462571365289977027720161447 y[1] (numeric) = 2.4584625713652899770277201614465 absolute error = 5e-31 relative error = 2.0337913858185300765334181679534e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.743 y[1] (analytic) = 2.4590102585375852602195905153287 y[1] (numeric) = 2.4590102585375852602195905153282 absolute error = 5e-31 relative error = 2.0333384062307995641439606259015e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.744 y[1] (analytic) = 2.4595579366153496796021868752355 y[1] (numeric) = 2.459557936615349679602186875235 absolute error = 5e-31 relative error = 2.0328856358962647649066582308083e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.39 Order of pole = 2.274e-27 TOP MAIN SOLVE Loop x[1] = 3.745 y[1] (analytic) = 2.4601056056020514517629773413977 y[1] (numeric) = 2.4601056056020514517629773413972 absolute error = 5e-31 relative error = 2.0324330746672847472275359869452e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.746 y[1] (analytic) = 2.4606532655011568097511803739087 y[1] (numeric) = 2.4606532655011568097511803739082 absolute error = 5e-31 relative error = 2.0319807223963588480996089986057e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.747 y[1] (analytic) = 2.4612009163161300045900402370611 y[1] (numeric) = 2.4612009163161300045900402370606 absolute error = 5e-31 relative error = 2.0315285789361265055762413862745e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.748 y[1] (analytic) = 2.4617485580504333067876614951624 y[1] (numeric) = 2.461748558050433306787661495162 absolute error = 4e-31 relative error = 1.6248613153114936731883290337295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=442.5MB, alloc=4.4MB, time=51.96 x[1] = 3.749 y[1] (analytic) = 2.4622961907075270078464042071 y[1] (numeric) = 2.4622961907075270078464042070996 absolute error = 4e-31 relative error = 1.6244999342871997955075815925537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.75 y[1] (analytic) = 2.4628438142908694217708414647269 y[1] (numeric) = 2.4628438142908694217708414647265 absolute error = 4e-31 relative error = 1.6241387199584665622040319188472e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.751 y[1] (analytic) = 2.4633914288039168865742809179486 y[1] (numeric) = 2.4633914288039168865742809179483 absolute error = 3e-31 relative error = 1.2178332541558893830625006337819e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.752 y[1] (analytic) = 2.4639390342501237657838519271999 y[1] (numeric) = 2.4639390342501237657838519271996 absolute error = 3e-31 relative error = 1.2175625931885206941829450574114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.753 y[1] (analytic) = 2.4644866306329424499441599818136 y[1] (numeric) = 2.4644866306329424499441599818132 absolute error = 4e-31 relative error = 1.6230560759717730385405545182211e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.173 Order of pole = 4.913e-27 TOP MAIN SOLVE Loop x[1] = 3.754 y[1] (analytic) = 2.4650342179558233581195100206019 y[1] (numeric) = 2.4650342179558233581195100206016 absolute error = 3e-31 relative error = 1.2170216454389859221789361513876e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.755 y[1] (analytic) = 2.4655817962222149393947002887905 y[1] (numeric) = 2.4655817962222149393947002887902 absolute error = 3e-31 relative error = 1.2167513584812416706440801597056e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.756 y[1] (analytic) = 2.4661293654355636743743883632658 y[1] (numeric) = 2.4661293654355636743743883632655 absolute error = 3e-31 relative error = 1.2164811960179327334091732226832e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.757 y[1] (analytic) = 2.4666769255993140766810309759288 y[1] (numeric) = 2.4666769255993140766810309759285 absolute error = 3e-31 relative error = 1.2162111579614778829688648289974e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.758 y[1] (analytic) = 2.4672244767169086944513992627726 y[1] (numeric) = 2.4672244767169086944513992627723 absolute error = 3e-31 relative error = 1.2159412442243788562648364915039e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.755 Order of pole = 6.98e-28 TOP MAIN SOLVE Loop x[1] = 3.759 y[1] (analytic) = 2.4677720187917881118316710641382 y[1] (numeric) = 2.4677720187917881118316710641379 absolute error = 3e-31 relative error = 1.2156714547192202558884058899352e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.76 y[1] (analytic) = 2.4683195518273909504711018994382 y[1] (numeric) = 2.4683195518273909504711018994379 absolute error = 3e-31 relative error = 1.2154017893586694514247894073834e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.761 y[1] (analytic) = 2.468867075827153871014276237478 y[1] (numeric) = 2.4688670758271538710142762374777 absolute error = 3e-31 relative error = 1.2151322480554764809387856126283e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.762 y[1] (analytic) = 2.4694145907945115745919406813478 y[1] (numeric) = 2.4694145907945115745919406813475 absolute error = 3e-31 relative error = 1.2148628307224739526016426958028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.763 y[1] (analytic) = 2.4699620967328968043104206847044 y[1] (numeric) = 2.4699620967328968043104206847041 absolute error = 3e-31 relative error = 1.2145935372725769464588733193331e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.764 y[1] (analytic) = 2.4705095936457403467396224141133 y[1] (numeric) = 2.470509593645740346739622414113 absolute error = 3e-31 relative error = 1.2143243676187829163387807995489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.765 y[1] (analytic) = 2.4710570815364710333996213699717 y[1] (numeric) = 2.4710570815364710333996213699714 absolute error = 3e-31 relative error = 1.2140553216741715919014609868514e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.766 y[1] (analytic) = 2.4716045604085157422458393763925 y[1] (numeric) = 2.4716045604085157422458393763922 absolute error = 3e-31 relative error = 1.2137863993519048808280446638295e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.767 y[1] (analytic) = 2.472152030265299399152811548287 y[1] (numeric) = 2.4721520302652993991528115482867 absolute error = 3e-31 relative error = 1.2135176005652267711499457312499e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.254 Order of pole = 1.043e-26 TOP MAIN SOLVE Loop x[1] = 3.768 y[1] (analytic) = 2.4726994911102449793965448417467 y[1] (numeric) = 2.4726994911102449793965448417464 absolute error = 3e-31 relative error = 1.2132489252274632337178809014127e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.769 y[1] (analytic) = 2.4732469429467735091354697916924 y[1] (numeric) = 2.4732469429467735091354697916922 absolute error = 2e-31 relative error = 8.0865358216801474987361804463551e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.77 y[1] (analytic) = 2.4737943857783040668899870386262 y[1] (numeric) = 2.473794385778304066889987038626 absolute error = 2e-31 relative error = 8.0847462970159539258792197386664e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.771 y[1] (analytic) = 2.4743418196082537850206102441948 y[1] (numeric) = 2.4743418196082537850206102441945 absolute error = 3e-31 relative error = 1.2124436390421474614492021696588e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.652 Order of pole = 2.635e-27 TOP MAIN SOLVE Loop x[1] = 3.772 y[1] (analytic) = 2.4748892444400378512047069931498 y[1] (numeric) = 2.4748892444400378512047069931496 absolute error = 2e-31 relative error = 8.0811697108995878141184333939584e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.773 y[1] (analytic) = 2.4754366602770695099118392771688 y[1] (numeric) = 2.4754366602770695099118392771685 absolute error = 3e-31 relative error = 1.2119073972444996477457572130121e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.774 y[1] (analytic) = 2.4759840671227600638777051538802 y[1] (numeric) = 2.47598406712276006387770515388 absolute error = 2e-31 relative error = 8.0775964052309847716461588943033e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.775 y[1] (analytic) = 2.4765314649805188755766831723279 y[1] (numeric) = 2.4765314649805188755766831723277 absolute error = 2e-31 relative error = 8.0758109811285300502097812996116e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.776 y[1] (analytic) = 2.4770788538537533686929811539906 y[1] (numeric) = 2.4770788538537533686929811539904 absolute error = 2e-31 relative error = 8.0740263754158224138990544677092e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.777 y[1] (analytic) = 2.4776262337458690295903909163708 y[1] (numeric) = 2.4776262337458690295903909163706 absolute error = 2e-31 relative error = 8.0722425875199248645622034890291e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.62 Order of pole = 1.569e-27 TOP MAIN SOLVE Loop x[1] = 3.778 y[1] (analytic) = 2.4781736046602694087806505240584 y[1] (numeric) = 2.4781736046602694087806505240582 absolute error = 2e-31 relative error = 8.0704596168684405050188563966996e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.779 y[1] (analytic) = 2.4787209666003561223904156500748 y[1] (numeric) = 2.4787209666003561223904156500745 absolute error = 3e-31 relative error = 1.2103016194334267848501779948791e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.78 y[1] (analytic) = 2.4792683195695288536268416282024 y[1] (numeric) = 2.4792683195695288536268416282022 absolute error = 2e-31 relative error = 8.0668961250118204320083545569536e-30 % memory used=446.3MB, alloc=4.4MB, time=52.45 Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.781 y[1] (analytic) = 2.4798156635711853542417777749125 y[1] (numeric) = 2.4798156635711853542417777749123 absolute error = 2e-31 relative error = 8.0651156026645856730727245125229e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.782 y[1] (analytic) = 2.4803629986087214459945755574067 y[1] (numeric) = 2.4803629986087214459945755574065 absolute error = 2e-31 relative error = 8.0633358952775647374363368584422e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.903 Order of pole = 5.672e-27 TOP MAIN SOLVE Loop x[1] = 3.783 y[1] (analytic) = 2.480910324685531022113512182205 y[1] (numeric) = 2.4809103246855310221135121822048 absolute error = 2e-31 relative error = 8.0615570022810516501361172955272e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.784 y[1] (analytic) = 2.4814576418050060487558311766215 y[1] (numeric) = 2.4814576418050060487558311766214 absolute error = 1e-31 relative error = 4.0298894615529383552481543481942e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.785 y[1] (analytic) = 2.4820049499705365664664015333897 y[1] (numeric) = 2.4820049499705365664664015333896 absolute error = 1e-31 relative error = 4.0290008285917029287633067724968e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.786 y[1] (analytic) = 2.4825522491855106916349969866175 y[1] (numeric) = 2.4825522491855106916349969866174 absolute error = 1e-31 relative error = 4.0281126019727700181122689864270e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.787 y[1] (analytic) = 2.4830995394533146179521969851777 y[1] (numeric) = 2.4830995394533146179521969851776 absolute error = 1e-31 relative error = 4.0272247814123572823902156279899e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.788 y[1] (analytic) = 2.4836468207773326178639109275646 y[1] (numeric) = 2.4836468207773326178639109275645 absolute error = 1e-31 relative error = 4.0263373666269492513418587537489e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.789 y[1] (analytic) = 2.4841940931609470440245272201777 y[1] (numeric) = 2.4841940931609470440245272201776 absolute error = 1e-31 relative error = 4.0254503573332970098644095826934e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.79 y[1] (analytic) = 2.4847413566075383307486887189274 y[1] (numeric) = 2.4847413566075383307486887189273 absolute error = 1e-31 relative error = 4.0245637532484178829596373666118e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.791 y[1] (analytic) = 2.4852886111204849954616961119918 y[1] (numeric) = 2.4852886111204849954616961119916 absolute error = 2e-31 relative error = 8.0473551081791902422685560841258e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.792 y[1] (analytic) = 2.4858358567031636401485407994938 y[1] (numeric) = 2.4858358567031636401485407994937 absolute error = 1e-31 relative error = 4.0227917595743775862480467421318e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.793 y[1] (analytic) = 2.4863830933589489528015688238126 y[1] (numeric) = 2.4863830933589489528015688238124 absolute error = 2e-31 relative error = 8.0438127388411588756170193323825e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.794 y[1] (analytic) = 2.4869303210912137088667774021818 y[1] (numeric) = 2.4869303210912137088667774021817 absolute error = 1e-31 relative error = 4.0210213833462798197120722228969e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.795 y[1] (analytic) = 2.4874775399033287726887456111854 y[1] (numeric) = 2.4874775399033287726887456111853 absolute error = 1e-31 relative error = 4.0201368010698225474303417755886e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.796 y[1] (analytic) = 2.4880247497986630989542007707036 y[1] (numeric) = 2.4880247497986630989542007707035 absolute error = 1e-31 relative error = 4.0192526223098157956411247302200e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.797 y[1] (analytic) = 2.4885719507805837341342220728238 y[1] (numeric) = 2.4885719507805837341342220728237 absolute error = 1e-31 relative error = 4.0183688467851317863033191138312e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.616 Order of pole = 3.572e-27 TOP MAIN SOLVE Loop x[1] = 3.798 y[1] (analytic) = 2.4891191428524558179250829991848 y[1] (numeric) = 2.4891191428524558179250829991847 absolute error = 1e-31 relative error = 4.0174854742149064771749651964844e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.799 y[1] (analytic) = 2.4896663260176425846877340681853 y[1] (numeric) = 2.4896663260176425846877340681852 absolute error = 1e-31 relative error = 4.0166025043185392507737181114658e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.8 y[1] (analytic) = 2.4902135002795053648859274514507 y[1] (numeric) = 2.4902135002795053648859274514506 absolute error = 1e-31 relative error = 4.0157199368156926037790078274436e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.176 Order of pole = 7.310e-27 TOP MAIN SOLVE Loop x[1] = 3.801 y[1] (analytic) = 2.4907606656414035865229849969201 y[1] (numeric) = 2.49076066564140358652298499692 absolute error = 1e-31 relative error = 4.0148377714262918368751532221670e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.802 y[1] (analytic) = 2.4913078221066947765772111938848 y[1] (numeric) = 2.4913078221066947765772111938847 absolute error = 1e-31 relative error = 4.0139560078705247450346984001972e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.405 Order of pole = 7.11e-28 TOP MAIN SOLVE Loop x[1] = 3.803 y[1] (analytic) = 2.4918549696787345624359526132836 y[1] (numeric) = 2.4918549696787345624359526132835 absolute error = 1e-31 relative error = 4.0130746458688413082412407870896e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.804 y[1] (analytic) = 2.4924021083608766733283053545352 y[1] (numeric) = 2.492402108360876673328305354535 absolute error = 2e-31 relative error = 8.0243873702839067653020438388133e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.805 y[1] (analytic) = 2.4929492381564729417564720281678 y[1] (numeric) = 2.4929492381564729417564720281676 absolute error = 2e-31 relative error = 8.0226262508216687843851064678550e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.806 y[1] (analytic) = 2.49349635906887330492576980149 y[1] (numeric) = 2.4934963590688733049257698014898 absolute error = 2e-31 relative error = 8.0208659327934380412071010809135e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.098 Order of pole = 3.615e-27 TOP MAIN SOLVE Loop x[1] = 3.807 y[1] (analytic) = 2.4940434711014258061732910325288 y[1] (numeric) = 2.4940434711014258061732910325286 absolute error = 2e-31 relative error = 8.0191064156422058078089044814408e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.808 y[1] (analytic) = 2.4945905742574765963952180154521 y[1] (numeric) = 2.4945905742574765963952180154519 absolute error = 2e-31 relative error = 8.0173476988114846466155954619467e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.413 Order of pole = 1.602e-27 TOP MAIN SOLVE Loop x[1] = 3.809 y[1] (analytic) = 2.495137668540369935472793358684 y[1] (numeric) = 2.4951376685403699354727933586838 absolute error = 2e-31 relative error = 8.0155897817453077971254875962891e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.482 Order of pole = 1.138e-26 TOP MAIN SOLVE Loop x[1] = 3.81 y[1] (analytic) = 2.4956847539534481936969475149136 y[1] (numeric) = 2.4956847539534481936969475149134 absolute error = 2e-31 relative error = 8.0138326638882285634679963772492e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.811 y[1] (analytic) = 2.4962318305000518531915849801983 y[1] (numeric) = 2.4962318305000518531915849801982 absolute error = 1e-31 relative error = 4.0060381723426598514144508951437e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.977 Order of pole = 2.138e-27 memory used=450.1MB, alloc=4.4MB, time=52.89 TOP MAIN SOLVE Loop x[1] = 3.812 y[1] (analytic) = 2.4967788981835195093355306773614 y[1] (numeric) = 2.4967788981835195093355306773613 absolute error = 1e-31 relative error = 4.0051604117910864073707850706264e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.276 Order of pole = 4.842e-27 TOP MAIN SOLVE Loop x[1] = 3.813 y[1] (analytic) = 2.4973259570071878721831380368865 y[1] (numeric) = 2.4973259570071878721831380368865 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.814 y[1] (analytic) = 2.4978730069743917678835602865213 y[1] (numeric) = 2.4978730069743917678835602865213 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.815 y[1] (analytic) = 2.4984200480884641400986864588076 y[1] (numeric) = 2.4984200480884641400986864588076 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.816 y[1] (analytic) = 2.4989670803527360514197436237723 y[1] (numeric) = 2.4989670803527360514197436237723 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.817 y[1] (analytic) = 2.4995141037705366847825668520247 y[1] (numeric) = 2.4995141037705366847825668520247 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.818 y[1] (analytic) = 2.5000611183451933448815384115284 y[1] (numeric) = 2.5000611183451933448815384115284 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.819 y[1] (analytic) = 2.5006081240800314595821976993339 y[1] (numeric) = 2.5006081240800314595821976993339 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.82 y[1] (analytic) = 2.5011551209783745813325234075842 y[1] (numeric) = 2.5011551209783745813325234075842 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.821 y[1] (analytic) = 2.5017021090435443885728894211338 y[1] (numeric) = 2.5017021090435443885728894211338 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.822 y[1] (analytic) = 2.5022490882788606871446959421496 y[1] (numeric) = 2.5022490882788606871446959421496 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.823 y[1] (analytic) = 2.5027960586876414116976773350974 y[1] (numeric) = 2.5027960586876414116976773350974 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.824 y[1] (analytic) = 2.5033430202732026270958881835542 y[1] (numeric) = 2.5033430202732026270958881835541 absolute error = 1e-31 relative error = 3.9946583105133745735002484072558e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.825 y[1] (analytic) = 2.5038899730388585298223690483232 y[1] (numeric) = 2.5038899730388585298223690483231 absolute error = 1e-31 relative error = 3.9937857125021552849145834175604e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.826 y[1] (analytic) = 2.5044369169879214493824934143747 y[1] (numeric) = 2.5044369169879214493824934143746 absolute error = 1e-31 relative error = 3.9929135096870274285044332115675e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.827 y[1] (analytic) = 2.5049838521237018497059973121762 y[1] (numeric) = 2.5049838521237018497059973121761 absolute error = 1e-31 relative error = 3.9920417017946417713612173349162e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.828 y[1] (analytic) = 2.5055307784495083305476930970286 y[1] (numeric) = 2.5055307784495083305476930970284 absolute error = 2e-31 relative error = 7.9823405771038073487688597413039e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.829 y[1] (analytic) = 2.5060776959686476288868688680706 y[1] (numeric) = 2.5060776959686476288868688680704 absolute error = 2e-31 relative error = 7.9805985393719455883586865023164e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.83 y[1] (analytic) = 2.506624604684424620325375006673 y[1] (numeric) = 2.5066246046844246203253750066729 absolute error = 1e-31 relative error = 3.9894286449242627853749959211586e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.831 y[1] (analytic) = 2.5071715046001423204843993119972 y[1] (numeric) = 2.507171504600142320484399311997 absolute error = 2e-31 relative error = 7.9771168279888820067235422419988e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.832 y[1] (analytic) = 2.5077183957191018863999322095524 y[1] (numeric) = 2.5077183957191018863999322095522 absolute error = 2e-31 relative error = 7.9753771532488564148957507319289e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.833 y[1] (analytic) = 2.508265278044602617916923506653 y[1] (numeric) = 2.5082652780446026179169235066528 absolute error = 2e-31 relative error = 7.9736382650847965288680530022853e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.888 Order of pole = 3.664e-27 TOP MAIN SOLVE Loop x[1] = 3.834 y[1] (analytic) = 2.5088121515799419590821321667363 y[1] (numeric) = 2.5088121515799419590821321667361 absolute error = 2e-31 relative error = 7.9719001629535557052113250247548e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.835 y[1] (analytic) = 2.5093590163284154995356705725751 y[1] (numeric) = 2.5093590163284154995356705725749 absolute error = 2e-31 relative error = 7.9701628463124923322839671441252e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.836 y[1] (analytic) = 2.5099058722933169759012447464879 y[1] (numeric) = 2.5099058722933169759012447464877 absolute error = 2e-31 relative error = 7.9684263146194692398822821880810e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.837 y[1] (analytic) = 2.5104527194779382731750919937251 y[1] (numeric) = 2.5104527194779382731750919937248 absolute error = 3e-31 relative error = 1.1950035850999279664582666593781e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.838 y[1] (analytic) = 2.510999557885569426113617433285 y[1] (numeric) = 2.5109995578855694261136174332847 absolute error = 3e-31 relative error = 1.1947433405867270830122037819565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.839 y[1] (analytic) = 2.5115463875194986206197308784965 y[1] (numeric) = 2.5115463875194986206197308784963 absolute error = 2e-31 relative error = 7.9632214238148241912757112411027e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.84 y[1] (analytic) = 2.512093208383012195127885527785 y[1] (numeric) = 2.5120932083830121951278855277848 absolute error = 2e-31 relative error = 7.9614880265026587319545188657327e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.841 y[1] (analytic) = 2.5126400204793946419878199241252 y[1] (numeric) = 2.512640020479394641987819924125 absolute error = 2e-31 relative error = 7.9597554114353937195604793186962e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.69 Order of pole = 1.342e-26 TOP MAIN SOLVE Loop x[1] = 3.842 y[1] (analytic) = 2.5131868238119286088470046397742 y[1] (numeric) = 2.5131868238119286088470046397741 absolute error = 1e-31 relative error = 3.9790117890369531408057185762166e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.643 Order of pole = 2.981e-27 TOP MAIN SOLVE Loop x[1] = 3.843 y[1] (analytic) = 2.5137336183838949000317951409682 y[1] (numeric) = 2.5137336183838949000317951409681 absolute error = 1e-31 relative error = 3.9781462629397869389026371631421e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=453.9MB, alloc=4.4MB, time=53.34 TOP MAIN SOLVE Loop x[1] = 3.844 y[1] (analytic) = 2.5142804041985724779272922853602 y[1] (numeric) = 2.5142804041985724779272922853601 absolute error = 1e-31 relative error = 3.9772811271571368581397706585831e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.845 y[1] (analytic) = 2.5148271812592384643559119030756 y[1] (numeric) = 2.5148271812592384643559119030755 absolute error = 1e-31 relative error = 3.9764163814201910853455729380858e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.846 y[1] (analytic) = 2.5153739495691681419546649103602 y[1] (numeric) = 2.5153739495691681419546649103601 absolute error = 1e-31 relative error = 3.9755520254603870990573762945776e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.847 y[1] (analytic) = 2.5159207091316349555511494028994 y[1] (numeric) = 2.5159207091316349555511494028992 absolute error = 2e-31 relative error = 7.9493761180188227577585489305898e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.848 y[1] (analytic) = 2.5164674599499105135382561739918 y[1] (numeric) = 2.5164674599499105135382561739916 absolute error = 2e-31 relative error = 7.9476489635983982304960360258387e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.849 y[1] (analytic) = 2.517014202027264589247589100872 y[1] (numeric) = 2.5170142020272645892475891008719 absolute error = 1e-31 relative error = 3.9729612935619339196062524287515e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.85 y[1] (analytic) = 2.5175609353669651223216018405847 y[1] (numeric) = 2.5175609353669651223216018405846 absolute error = 1e-31 relative error = 3.9720984940300475349824305833517e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.851 y[1] (analytic) = 2.5181076599722782200844522749284 y[1] (numeric) = 2.5181076599722782200844522749283 absolute error = 1e-31 relative error = 3.9712360829362195469767324050121e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.852 y[1] (analytic) = 2.5186543758464681589115761421063 y[1] (numeric) = 2.5186543758464681589115761421062 absolute error = 1e-31 relative error = 3.9703740600133770951523259187006e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.223 Order of pole = 5.487e-27 TOP MAIN SOLVE Loop x[1] = 3.853 y[1] (analytic) = 2.5192010829927973855979812908368 y[1] (numeric) = 2.5192010829927973855979812908367 absolute error = 1e-31 relative error = 3.9695124249946945848313050277639e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.854 y[1] (analytic) = 2.5197477814145265187252639908036 y[1] (numeric) = 2.5197477814145265187252639908036 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.855 y[1] (analytic) = 2.5202944711149143500273487314482 y[1] (numeric) = 2.5202944711149143500273487314481 absolute error = 1e-31 relative error = 3.9677903176037416123854832053892e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.856 y[1] (analytic) = 2.520841152097217845754952939235 y[1] (numeric) = 2.520841152097217845754952939235 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.857 y[1] (analytic) = 2.5213878243646921480387780416552 y[1] (numeric) = 2.5213878243646921480387780416551 absolute error = 1e-31 relative error = 3.9660697586336902610711748781791e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.858 y[1] (analytic) = 2.5219344879205905762514283043614 y[1] (numeric) = 2.5219344879205905762514283043614 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.615 Order of pole = 1.198e-26 TOP MAIN SOLVE Loop x[1] = 3.859 y[1] (analytic) = 2.522481142768164628368058865971 y[1] (numeric) = 2.522481142768164628368058865971 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 21.54 Order of pole = 2.408e-26 TOP MAIN SOLVE Loop x[1] = 3.86 y[1] (analytic) = 2.5230277889106639823257543932069 y[1] (numeric) = 2.5230277889106639823257543932069 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.861 y[1] (analytic) = 2.5235744263513364973816397771933 y[1] (numeric) = 2.5235744263513364973816397771932 absolute error = 1e-31 relative error = 3.9626332774572911700168845236624e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.862 y[1] (analytic) = 2.5241210550934282154697242898647 y[1] (numeric) = 2.5241210550934282154697242898647 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.863 y[1] (analytic) = 2.5246676751401833625564806175971 y[1] (numeric) = 2.5246676751401833625564806175971 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.864 y[1] (analytic) = 2.5252142864948443499951601873176 y[1] (numeric) = 2.5252142864948443499951601873176 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.865 y[1] (analytic) = 2.5257608891606517758788461985062 y[1] (numeric) = 2.5257608891606517758788461985061 absolute error = 1e-31 relative error = 3.9592029645067273082979478284295e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.866 y[1] (analytic) = 2.5263074831408444263922457726544 y[1] (numeric) = 2.5263074831408444263922457726544 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.867 y[1] (analytic) = 2.52685406843865927716222262991 y[1] (numeric) = 2.52685406843865927716222262991 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.868 y[1] (analytic) = 2.5274006450573314946070717007926 y[1] (numeric) = 2.5274006450573314946070717007925 absolute error = 1e-31 relative error = 3.9566342675255431233100774315020e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.45 Order of pole = 3.676e-27 TOP MAIN SOLVE Loop x[1] = 3.869 y[1] (analytic) = 2.5279472130000944372845370790333 y[1] (numeric) = 2.5279472130000944372845370790332 absolute error = 1e-31 relative error = 3.9557788028857968194415878129852e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 16.36 Order of pole = 3.976e-26 TOP MAIN SOLVE Loop x[1] = 3.87 y[1] (analytic) = 2.5284937722701796572385747197584 y[1] (numeric) = 2.5284937722701796572385747197582 absolute error = 2e-31 relative error = 7.9098474433034593723171151092541e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.871 y[1] (analytic) = 2.529040322870816901344861285403 y[1] (numeric) = 2.5290403228708169013448612854029 absolute error = 1e-31 relative error = 3.9540690235609180869354996392116e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.031 Order of pole = 1.120e-27 TOP MAIN SOLVE Loop x[1] = 3.872 y[1] (analytic) = 2.529586864805234112655050539919 y[1] (numeric) = 2.5295868648052341126550505399189 absolute error = 1e-31 relative error = 3.9532147083511802511423632049657e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.873 y[1] (analytic) = 2.5301333980766574317397786900103 y[1] (numeric) = 2.5301333980766574317397786900102 absolute error = 1e-31 relative error = 3.9523607757605759937963377281560e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.874 y[1] (analytic) = 2.5306799226883111980304200703121 y[1] (numeric) = 2.530679922688311198030420070312 absolute error = 1e-31 relative error = 3.9515072255274064357046610206472e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.875 y[1] (analytic) = 2.5312264386434179511595945676074 y[1] (numeric) = 2.5312264386434179511595945676073 absolute error = 1e-31 relative error = 3.9506540573902137239977932595368e-30 % Correct digits = 31 h = 0.001 memory used=457.7MB, alloc=4.4MB, time=53.79 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.876 y[1] (analytic) = 2.531772945945198432300428177359 y[1] (numeric) = 2.531772945945198432300428177359 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.877 y[1] (analytic) = 2.532319444596871585504568084022 y[1] (numeric) = 2.532319444596871585504568084022 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.878 y[1] (analytic) = 2.5328659346016545590389536547874 y[1] (numeric) = 2.5328659346016545590389536547874 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.879 y[1] (analytic) = 2.5334124159627627067213447346034 y[1] (numeric) = 2.5334124159627627067213447346034 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.04 Order of pole = 3.048e-27 TOP MAIN SOLVE Loop x[1] = 3.88 y[1] (analytic) = 2.5339588886834095892546086285107 y[1] (numeric) = 2.5339588886834095892546086285107 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.881 y[1] (analytic) = 2.534505352766806975559767155528 y[1] (numeric) = 2.534505352766806975559767155528 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.882 y[1] (analytic) = 2.535051808216164844107805156521 y[1] (numeric) = 2.5350518082161648441078051565209 absolute error = 1e-31 relative error = 3.9446925572052435735934708157157e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.883 y[1] (analytic) = 2.5355982550346913842502418366923 y[1] (numeric) = 2.5355982550346913842502418366923 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.884 y[1] (analytic) = 2.536144693225592997548466321534 y[1] (numeric) = 2.536144693225592997548466321534 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.885 y[1] (analytic) = 2.5366911227920742991018388032896 y[1] (numeric) = 2.5366911227920742991018388032896 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.886 y[1] (analytic) = 2.5372375437373381188745586531874 y[1] (numeric) = 2.5372375437373381188745586531874 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.887 y[1] (analytic) = 2.537783956064585503021300872914 y[1] (numeric) = 2.537783956064585503021300872914 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.888 y[1] (analytic) = 2.5383303597770157152116222570175 y[1] (numeric) = 2.5383303597770157152116222570175 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 52.84 Order of pole = 1.662e-25 TOP MAIN SOLVE Loop x[1] = 3.889 y[1] (analytic) = 2.5388767548778262379531386361442 y[1] (numeric) = 2.5388767548778262379531386361442 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.89 y[1] (analytic) = 2.5394231413702127739134745692352 y[1] (numeric) = 2.5394231413702127739134745692352 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.891 y[1] (analytic) = 2.5399695192573692472409868510329 y[1] (numeric) = 2.5399695192573692472409868510329 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.892 y[1] (analytic) = 2.5405158885424878048842631994716 y[1] (numeric) = 2.5405158885424878048842631994716 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.893 y[1] (analytic) = 2.5410622492287588179103974857574 y[1] (numeric) = 2.5410622492287588179103974857575 absolute error = 1e-31 relative error = 3.9353620727060556257149570481808e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.894 y[1] (analytic) = 2.5416086013193708828220428681725 y[1] (numeric) = 2.5416086013193708828220428681726 absolute error = 1e-31 relative error = 3.9345161150339647103138081953779e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.895 y[1] (analytic) = 2.542154944817510822873244188872 y[1] (numeric) = 2.5421549448175108228732441888721 absolute error = 1e-31 relative error = 3.9336705342788821626638965917270e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.324 Order of pole = 7.147e-27 TOP MAIN SOLVE Loop x[1] = 3.896 y[1] (analytic) = 2.5427012797263636893840509911806 y[1] (numeric) = 2.5427012797263636893840509911807 absolute error = 1e-31 relative error = 3.9328253301843478104705230724549e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.897 y[1] (analytic) = 2.543247606049112763053912513133 y[1] (numeric) = 2.5432476060491127630539125131331 absolute error = 1e-31 relative error = 3.9319805024941364569787003337572e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.705 Order of pole = 1.069e-27 TOP MAIN SOLVE Loop x[1] = 3.898 y[1] (analytic) = 2.543793923788939555273856011245 y[1] (numeric) = 2.5437939237889395552738560112451 absolute error = 1e-31 relative error = 3.9311360509522576103114243174094e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.899 y[1] (analytic) = 2.5443402329490238094374497667457 y[1] (numeric) = 2.5443402329490238094374497667458 absolute error = 1e-31 relative error = 3.9302919753029552131833562921036e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.9 y[1] (analytic) = 2.5448865335325435022505521247499 y[1] (numeric) = 2.54488653353254350225055212475 absolute error = 1e-31 relative error = 3.9294482752907073729893068725914e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.633 Order of pole = 4.779e-27 TOP MAIN SOLVE Loop x[1] = 3.901 y[1] (analytic) = 2.5454328255426748450398479150963 y[1] (numeric) = 2.5454328255426748450398479150964 absolute error = 1e-31 relative error = 3.9286049506602260922669143473442e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.902 y[1] (analytic) = 2.5459791089825922850601736018333 y[1] (numeric) = 2.5459791089825922850601736018334 absolute error = 1e-31 relative error = 3.9277620011564569995329108127038e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.903 y[1] (analytic) = 2.5465253838554685068006325065844 y[1] (numeric) = 2.5465253838554685068006325065845 absolute error = 1e-31 relative error = 3.9269194265245790804923707364118e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.904 y[1] (analytic) = 2.5470716501644744332895014492869 y[1] (numeric) = 2.547071650164474433289501449287 absolute error = 1e-31 relative error = 3.9260772265100044096203376959628e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.905 y[1] (analytic) = 2.5476179079127792273979301480534 y[1] (numeric) = 2.5476179079127792273979301480535 absolute error = 1e-31 relative error = 3.9252354008583778821152261574526e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.906 y[1] (analytic) = 2.548164157103550293142434718172 y[1] (numeric) = 2.5481641571035502931424347181721 absolute error = 1e-31 relative error = 3.9243939493155769462233962784635e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.907 y[1] (analytic) = 2.5487103977399532769861866085226 y[1] (numeric) = 2.5487103977399532769861866085227 absolute error = 1e-31 relative error = 3.9235528716277113359343008340870e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=461.5MB, alloc=4.4MB, time=54.24 TOP MAIN SOLVE Loop x[1] = 3.908 y[1] (analytic) = 2.5492566298251520691390983119566 y[1] (numeric) = 2.5492566298251520691390983119568 absolute error = 2e-31 relative error = 7.8454243350822456080912089567912e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.909 y[1] (analytic) = 2.5498028533623088048567071844573 y[1] (numeric) = 2.5498028533623088048567071844575 absolute error = 2e-31 relative error = 7.8437436736047697111953533291551e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.91 y[1] (analytic) = 2.5503490683545838657378587061685 y[1] (numeric) = 2.5503490683545838657378587061687 absolute error = 2e-31 relative error = 7.8420637583166049633537213110678e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.911 y[1] (analytic) = 2.5508952748051358810211905156588 y[1] (numeric) = 2.550895274805135881021190515659 absolute error = 2e-31 relative error = 7.8403845887118237871738443259976e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.912 y[1] (analytic) = 2.5514414727171217288804185470616 y[1] (numeric) = 2.5514414727171217288804185470618 absolute error = 2e-31 relative error = 7.8387061642849605147761645144370e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.913 y[1] (analytic) = 2.5519876620936965377184265980159 y[1] (numeric) = 2.5519876620936965377184265980161 absolute error = 2e-31 relative error = 7.8370284845310108576060805817632e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.914 y[1] (analytic) = 2.5525338429380136874601606546116 y[1] (numeric) = 2.5525338429380136874601606546117 absolute error = 1e-31 relative error = 3.9176757744727156884893936803679e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.915 y[1] (analytic) = 2.5530800152532248108443292978324 y[1] (numeric) = 2.5530800152532248108443292978325 absolute error = 1e-31 relative error = 3.9168376785120694776778624844575e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.16 Order of pole = 1.111e-26 TOP MAIN SOLVE Loop x[1] = 3.916 y[1] (analytic) = 2.553626179042479794713911514275 y[1] (numeric) = 2.5536261790424797947139115142752 absolute error = 2e-31 relative error = 7.8319999082635102683514556308805e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.917 y[1] (analytic) = 2.5541723343089267813054732322138 y[1] (numeric) = 2.554172334308926781305473232214 absolute error = 2e-31 relative error = 7.8303252021603812574697884201607e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.918 y[1] (analytic) = 2.5547184810557121695372939023743 y[1] (numeric) = 2.5547184810557121695372939023745 absolute error = 2e-31 relative error = 7.8286512382120466035679743562632e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.919 y[1] (analytic) = 2.5552646192859806162963044410744 y[1] (numeric) = 2.5552646192859806162963044410746 absolute error = 2e-31 relative error = 7.8269780159162592010477964681438e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.92 y[1] (analytic) = 2.5558107490028750377238378516884 y[1] (numeric) = 2.5558107490028750377238378516886 absolute error = 2e-31 relative error = 7.8253055347712296327723816068731e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.921 y[1] (analytic) = 2.5563568702095366105001938386921 y[1] (numeric) = 2.5563568702095366105001938386923 absolute error = 2e-31 relative error = 7.8236337942756256457075629571584e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.922 y[1] (analytic) = 2.5569029829091047731280187268489 y[1] (numeric) = 2.556902982909104773128018726849 absolute error = 1e-31 relative error = 3.9109813969642858136433121798876e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.923 y[1] (analytic) = 2.5574490871047172272145019964013 y[1] (numeric) = 2.5574490871047172272145019964014 absolute error = 1e-31 relative error = 3.9101462666148240412486298574348e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.924 y[1] (analytic) = 2.5579951827995099387523907434441 y[1] (numeric) = 2.5579951827995099387523907434442 absolute error = 1e-31 relative error = 3.9093115058394455558447914447475e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.925 y[1] (analytic) = 2.5585412699966171393998233729608 y[1] (numeric) = 2.5585412699966171393998233729609 absolute error = 1e-31 relative error = 3.9084771143883959445520128508533e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.926 y[1] (analytic) = 2.559087348699171327758983830323 y[1] (numeric) = 2.5590873486991713277589838303231 absolute error = 1e-31 relative error = 3.9076430920121480710589818489957e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.391 Order of pole = 4.124e-27 TOP MAIN SOLVE Loop x[1] = 3.927 y[1] (analytic) = 2.5596334189103032706535776753647 y[1] (numeric) = 2.5596334189103032706535776753649 absolute error = 2e-31 relative error = 7.8136188769228036312099115808531e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.928 y[1] (analytic) = 2.5601794806331420044051313014628 y[1] (numeric) = 2.560179480633142004405131301463 absolute error = 2e-31 relative error = 7.8119523069741676306401322789349e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.929 y[1] (analytic) = 2.5607255338708148361081156003751 y[1] (numeric) = 2.5607255338708148361081156003753 absolute error = 2e-31 relative error = 7.8102864736806944098465057832185e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.93 y[1] (analytic) = 2.5612715786264473449038953719112 y[1] (numeric) = 2.5612715786264473449038953719114 absolute error = 2e-31 relative error = 7.8086213765451427155545059995484e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.931 y[1] (analytic) = 2.5618176149031633832535057758357 y[1] (numeric) = 2.5618176149031633832535057758359 absolute error = 2e-31 relative error = 7.8069570150707232546001359900468e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.932 y[1] (analytic) = 2.5623636427040850782092571217317 y[1] (numeric) = 2.5623636427040850782092571217319 absolute error = 2e-31 relative error = 7.8052933887610981774646740938851e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.933 y[1] (analytic) = 2.5629096620323328326851692908837 y[1] (numeric) = 2.5629096620323328326851692908839 absolute error = 2e-31 relative error = 7.8036304971203805625200855313899e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.934 y[1] (analytic) = 2.5634556728910253267262370825704 y[1] (numeric) = 2.5634556728910253267262370825706 absolute error = 2e-31 relative error = 7.8019683396531339009839562045908e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.935 y[1] (analytic) = 2.5640016752832795187765277754943 y[1] (numeric) = 2.5640016752832795187765277754945 absolute error = 2e-31 relative error = 7.8003069158643715825828075120755e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.936 y[1] (analytic) = 2.5645476692122106469461121934128 y[1] (numeric) = 2.5645476692122106469461121934129 absolute error = 1e-31 relative error = 3.8993231126297781909613265482038e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.937 y[1] (analytic) = 2.5650936546809322302768305623744 y[1] (numeric) = 2.5650936546809322302768305623745 absolute error = 1e-31 relative error = 3.8984931336722999727828302692050e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.938 y[1] (analytic) = 2.5656396316925560700068944453088 y[1] (numeric) = 2.5656396316925560700068944453089 absolute error = 1e-31 relative error = 3.8976635208129311399058915521522e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=465.4MB, alloc=4.4MB, time=54.70 x[1] = 3.939 y[1] (analytic) = 2.5661856002501922508343260380614 y[1] (numeric) = 2.5661856002501922508343260380615 absolute error = 1e-31 relative error = 3.8968342738050756195921143695407e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.94 y[1] (analytic) = 2.5667315603569491421792361093134 y[1] (numeric) = 2.5667315603569491421792361093135 absolute error = 1e-31 relative error = 3.8960053924023610078088177912497e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.941 y[1] (analytic) = 2.5672775120159333994449418651766 y[1] (numeric) = 2.5672775120159333994449418651767 absolute error = 1e-31 relative error = 3.8951768763586383141739126814288e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.942 y[1] (analytic) = 2.5678234552302499652779260176054 y[1] (numeric) = 2.5678234552302499652779260176055 absolute error = 1e-31 relative error = 3.8943487254279817072510040490537e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.943 y[1] (analytic) = 2.5683693900030020708266383341224 y[1] (numeric) = 2.5683693900030020708266383341226 absolute error = 2e-31 relative error = 7.7870418787293765203883136040082e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.944 y[1] (analytic) = 2.5689153163372912369991409447132 y[1] (numeric) = 2.5689153163372912369991409447133 absolute error = 1e-31 relative error = 3.8926935179232776967417636874403e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.945 y[1] (analytic) = 2.5694612342362172757195986801016 y[1] (numeric) = 2.5694612342362172757195986801018 absolute error = 2e-31 relative error = 7.7837329217169842751179104640980e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.946 y[1] (analytic) = 2.5700071437028782911836157139846 y[1] (numeric) = 2.5700071437028782911836157139848 absolute error = 2e-31 relative error = 7.7820795358505916938559850487636e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.947 y[1] (analytic) = 2.570553044740370681112419780164 y[1] (numeric) = 2.5705530447403706811124197801641 absolute error = 1e-31 relative error = 3.8902134388788749797860847080470e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.948 y[1] (analytic) = 2.5710989373517891380058952338839 y[1] (numeric) = 2.571098937351789138005895233884 absolute error = 1e-31 relative error = 3.8893874734746373291100740789223e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.949 y[1] (analytic) = 2.5716448215402266503944662250506 y[1] (numeric) = 2.5716448215402266503944662250507 absolute error = 1e-31 relative error = 3.8885618714682120736474327018467e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.95 y[1] (analytic) = 2.5721906973087745040898312493812 y[1] (numeric) = 2.5721906973087745040898312493813 absolute error = 1e-31 relative error = 3.8877366326154495259930154824371e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.548 Order of pole = 5.236e-27 TOP MAIN SOLVE Loop x[1] = 3.951 y[1] (analytic) = 2.5727365646605222834345503419048 y[1] (numeric) = 2.5727365646605222834345503419049 absolute error = 1e-31 relative error = 3.8869117566724208810110156477420e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.952 y[1] (analytic) = 2.5732824235985578725504861756139 y[1] (numeric) = 2.573282423598557872550486175614 absolute error = 1e-31 relative error = 3.8860872433954179646015696054202e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.953 y[1] (analytic) = 2.5738282741259674565861003264434 y[1] (numeric) = 2.5738282741259674565861003264435 absolute error = 1e-31 relative error = 3.8852630925409529828114591650037e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.954 y[1] (analytic) = 2.574374116245835522962605964136 y[1] (numeric) = 2.5743741162458355229626059641361 absolute error = 1e-31 relative error = 3.8844393038657582712883601165863e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.955 y[1] (analytic) = 2.5749199499612448626189782269354 y[1] (numeric) = 2.5749199499612448626189782269356 absolute error = 2e-31 relative error = 7.7672317542535720901561743439452e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.956 y[1] (analytic) = 2.5754657752752765712558235364363 y[1] (numeric) = 2.5754657752752765712558235364365 absolute error = 2e-31 relative error = 7.7655856241624162975285725618581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.957 y[1] (analytic) = 2.576011592191010050578109107306 y[1] (numeric) = 2.5760115921910100505781091073062 absolute error = 2e-31 relative error = 7.7639402169728316139000526814307e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.958 y[1] (analytic) = 2.5765574007115230095367539049859 y[1] (numeric) = 2.5765574007115230095367539049861 absolute error = 2e-31 relative error = 7.7622955322000387501614866410527e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.339 Order of pole = 5.755e-27 TOP MAIN SOLVE Loop x[1] = 3.959 y[1] (analytic) = 2.5771032008398914655690823028719 y[1] (numeric) = 2.5771032008398914655690823028721 absolute error = 2e-31 relative error = 7.7606515693596961812159816477376e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.96 y[1] (analytic) = 2.5776489925791897458381416888696 y[1] (numeric) = 2.5776489925791897458381416888699 absolute error = 3e-31 relative error = 1.1638512491951849473480356333653e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.961 y[1] (analytic) = 2.5781947759324904884708852696168 y[1] (numeric) = 2.578194775932490488470885269617 absolute error = 2e-31 relative error = 7.7573658075411816661053392051330e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.962 y[1] (analytic) = 2.578740550902864643795221319066 y[1] (numeric) = 2.5787405509028646437952213190662 absolute error = 2e-31 relative error = 7.7557240075965110202758977493879e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.963 y[1] (analytic) = 2.5792863174933814755759301165242 y[1] (numeric) = 2.5792863174933814755759301165244 absolute error = 2e-31 relative error = 7.7540829276512922793197903222594e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.964 y[1] (analytic) = 2.5798320757071085622494498176474 y[1] (numeric) = 2.5798320757071085622494498176476 absolute error = 2e-31 relative error = 7.7524425672233652968940827078432e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.965 y[1] (analytic) = 2.5803778255471117981575325002999 y[1] (numeric) = 2.5803778255471117981575325003 absolute error = 1e-31 relative error = 3.8754014629155023594430274953758e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.966 y[1] (analytic) = 2.5809235670164553947797716255927 y[1] (numeric) = 2.5809235670164553947797716255928 absolute error = 1e-31 relative error = 3.8745820014964597452407927349860e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 19.47 Order of pole = 4.721e-26 TOP MAIN SOLVE Loop x[1] = 3.967 y[1] (analytic) = 2.5814693001182018819650021528316 y[1] (numeric) = 2.5814693001182018819650021528317 absolute error = 1e-31 relative error = 3.8737628991141261819532417117715e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.968 y[1] (analytic) = 2.5820150248554121091615745455156 y[1] (numeric) = 2.5820150248554121091615745455157 absolute error = 1e-31 relative error = 3.8729441555282897034198483052273e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.969 y[1] (analytic) = 2.5825607412311452466465039039458 y[1] (numeric) = 2.5825607412311452466465039039459 absolute error = 1e-31 relative error = 3.8721257704989547557486606790492e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.97 y[1] (analytic) = 2.5831064492484587867534954584218 y[1] (numeric) = 2.5831064492484587867534954584219 absolute error = 1e-31 relative error = 3.8713077437863419521931725207353e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=469.2MB, alloc=4.4MB, time=55.15 TOP MAIN SOLVE Loop x[1] = 3.971 y[1] (analytic) = 2.5836521489104085450998476554246 y[1] (numeric) = 2.5836521489104085450998476554247 absolute error = 1e-31 relative error = 3.8704900751508878283635263570990e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.972 y[1] (analytic) = 2.5841978402200486618122340676072 y[1] (numeric) = 2.5841978402200486618122340676074 absolute error = 2e-31 relative error = 7.7393455287064891955430316012922e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.973 y[1] (analytic) = 2.5847435231804316027513653568419 y[1] (numeric) = 2.5847435231804316027513653568421 absolute error = 2e-31 relative error = 7.7377116223085598154177091093752e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.034 Order of pole = 4.440e-27 TOP MAIN SOLVE Loop x[1] = 3.974 y[1] (analytic) = 2.5852891977946081607355325179974 y[1] (numeric) = 2.5852891977946081607355325179977 absolute error = 3e-31 relative error = 1.1604117645945229786374542927938e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.975 y[1] (analytic) = 2.5858348640656274567630326295546 y[1] (numeric) = 2.5858348640656274567630326295549 absolute error = 3e-31 relative error = 1.1601668929790797334508803887797e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.976 y[1] (analytic) = 2.5863805219965369412334783355961 y[1] (numeric) = 2.5863805219965369412334783355964 absolute error = 3e-31 relative error = 1.1599221284284079829206726705137e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.977 y[1] (analytic) = 2.5869261715903823951679922821447 y[1] (numeric) = 2.586926171590382395167992282145 absolute error = 3e-31 relative error = 1.1596774708710258113990854130471e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.978 y[1] (analytic) = 2.5874718128502079314282877292606 y[1] (numeric) = 2.5874718128502079314282877292608 absolute error = 2e-31 relative error = 7.7295528015701037912259025941505e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.979 y[1] (analytic) = 2.5880174457790559959346365587454 y[1] (numeric) = 2.5880174457790559959346365587456 absolute error = 2e-31 relative error = 7.7279231763368253158558421443077e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.98 y[1] (analytic) = 2.5885630703799673688827258957464 y[1] (numeric) = 2.5885630703799673688827258957466 absolute error = 2e-31 relative error = 7.7262942629650744023352928307613e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.981 y[1] (analytic) = 2.5891086866559811659594045609944 y[1] (numeric) = 2.5891086866559811659594045609946 absolute error = 2e-31 relative error = 7.7246660609800157885960946292293e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.982 y[1] (analytic) = 2.5896542946101348395573205688571 y[1] (numeric) = 2.5896542946101348395573205688572 absolute error = 1e-31 relative error = 3.8615192849536203578790596656896e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.983 y[1] (analytic) = 2.5901998942454641799884508848376 y[1] (numeric) = 2.5901998942454641799884508848377 absolute error = 1e-31 relative error = 3.8607058946363832232465150162366e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.984 y[1] (analytic) = 2.5907454855650033166965246545994 y[1] (numeric) = 2.5907454855650033166965246545994 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.985 y[1] (analytic) = 2.5912910685717847194683411150495 y[1] (numeric) = 2.5912910685717847194683411150495 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.986 y[1] (analytic) = 2.5918366432688391996439833964707 y[1] (numeric) = 2.5918366432688391996439833964707 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.987 y[1] (analytic) = 2.5923822096591959113259294231474 y[1] (numeric) = 2.5923822096591959113259294231474 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.988 y[1] (analytic) = 2.5929277677458823525870611183918 y[1] (numeric) = 2.5929277677458823525870611183918 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.989 y[1] (analytic) = 2.5934733175319243666775731183386 y[1] (numeric) = 2.5934733175319243666775731183386 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.99 y[1] (analytic) = 2.59401885902034614323078219734 y[1] (numeric) = 2.59401885902034614323078219734 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.991 y[1] (analytic) = 2.5945643922141702194678386062598 y[1] (numeric) = 2.5945643922141702194678386062598 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.992 y[1] (analytic) = 2.5951099171164174814013405234343 y[1] (numeric) = 2.5951099171164174814013405234343 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.993 y[1] (analytic) = 2.595655433730107165037852816538 y[1] (numeric) = 2.5956554337301071650378528165381 absolute error = 1e-31 relative error = 3.8525914765310050916226338735299e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.994 y[1] (analytic) = 2.5962009420582568575793313120661 y[1] (numeric) = 2.5962009420582568575793313120662 absolute error = 1e-31 relative error = 3.8517819780436730485858034529290e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.995 y[1] (analytic) = 2.5967464421038824986234537676195 y[1] (numeric) = 2.5967464421038824986234537676196 absolute error = 1e-31 relative error = 3.8509728319481226115361290617780e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.996 y[1] (analytic) = 2.5972919338699983813628587406587 y[1] (numeric) = 2.5972919338699983813628587406588 absolute error = 1e-31 relative error = 3.8501640380101097857410995741969e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.997 y[1] (analytic) = 2.5978374173596171537832935458693 y[1] (numeric) = 2.5978374173596171537832935458694 absolute error = 1e-31 relative error = 3.8493555959956002499398401125929e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.998 y[1] (analytic) = 2.5983828925757498198606724917662 y[1] (numeric) = 2.5983828925757498198606724917663 absolute error = 1e-31 relative error = 3.8485475056707691203828993783117e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 3.999 y[1] (analytic) = 2.5989283595214057407570465856469 y[1] (numeric) = 2.598928359521405740757046585647 absolute error = 1e-31 relative error = 3.8477397668020007151918023034276e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4 y[1] (analytic) = 2.5994738181995926360154858944913 y[1] (numeric) = 2.5994738181995926360154858944914 absolute error = 1e-31 relative error = 3.8469323791558883190378613794305e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.001 y[1] (analytic) = 2.600019268613316584753875747893 y[1] (numeric) = 2.6000192686133165847538757478931 absolute error = 1e-31 relative error = 3.8461253424992339481397409371980e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.002 y[1] (analytic) = 2.6005647107655820268576279675996 y[1] (numeric) = 2.6005647107655820268576279675997 absolute error = 1e-31 relative error = 3.8453186565990481155792695694050e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=473.0MB, alloc=4.4MB, time=55.59 TOP MAIN SOLVE Loop x[1] = 4.003 y[1] (analytic) = 2.6011101446593917641713083067308 y[1] (numeric) = 2.6011101446593917641713083067309 absolute error = 1e-31 relative error = 3.8445123212225495969349968014062e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.18 Order of pole = 1.103e-27 TOP MAIN SOLVE Loop x[1] = 4.004 y[1] (analytic) = 2.6016555702977469616891812802396 y[1] (numeric) = 2.6016555702977469616891812802396 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.005 y[1] (analytic) = 2.602200987683647148744673566678 y[1] (numeric) = 2.6022009876836471487446735666781 absolute error = 1e-31 relative error = 3.8429007011105295122143766578778e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.006 y[1] (analytic) = 2.6027463968200902201987571598316 y[1] (numeric) = 2.6027463968200902201987571598316 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.007 y[1] (analytic) = 2.6032917977100724376272534472822 y[1] (numeric) = 2.6032917977100724376272534472822 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.008 y[1] (analytic) = 2.6038371903565884305070593914712 y[1] (numeric) = 2.6038371903565884305070593914711 absolute error = 1e-31 relative error = 3.8404858940625727688649098733368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.009 y[1] (analytic) = 2.6043825747626311974012969873332 y[1] (numeric) = 2.6043825747626311974012969873331 absolute error = 1e-31 relative error = 3.8396816569514256703513552955105e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.01 y[1] (analytic) = 2.6049279509311921071433871690848 y[1] (numeric) = 2.6049279509311921071433871690847 absolute error = 1e-31 relative error = 3.8388777687403090444251277926395e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.011 y[1] (analytic) = 2.6054733188652609000200493372594 y[1] (numeric) = 2.6054733188652609000200493372593 absolute error = 1e-31 relative error = 3.8380742291980993674103307084480e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.012 y[1] (analytic) = 2.6060186785678256889532276755935 y[1] (numeric) = 2.6060186785678256889532276755934 absolute error = 1e-31 relative error = 3.8372710380938792830455975094324e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.013 y[1] (analytic) = 2.6065640300418729606809454258852 y[1] (numeric) = 2.6065640300418729606809454258851 absolute error = 1e-31 relative error = 3.8364681951969373712675767187108e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.014 y[1] (analytic) = 2.6071093732903875769370882874603 y[1] (numeric) = 2.6071093732903875769370882874603 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.015 y[1] (analytic) = 2.6076547083163527756301181064038 y[1] (numeric) = 2.6076547083163527756301181064038 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.016 y[1] (analytic) = 2.6082000351227501720207180182318 y[1] (numeric) = 2.6082000351227501720207180182318 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.017 y[1] (analytic) = 2.6087453537125597598983702062066 y[1] (numeric) = 2.6087453537125597598983702062065 absolute error = 1e-31 relative error = 3.8332603010749178937734756426982e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.018 y[1] (analytic) = 2.6092906640887599127568674360189 y[1] (numeric) = 2.6092906640887599127568674360188 absolute error = 1e-31 relative error = 3.8324591957608871650567517291531e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.019 y[1] (analytic) = 2.6098359662543273849687595260935 y[1] (numeric) = 2.6098359662543273849687595260934 absolute error = 1e-31 relative error = 3.8316584372741778398629726935838e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.02 y[1] (analytic) = 2.6103812602122373129587359112992 y[1] (numeric) = 2.6103812602122373129587359112991 absolute error = 1e-31 relative error = 3.8308580253855136036204035838820e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.021 y[1] (analytic) = 2.6109265459654632163759454563804 y[1] (numeric) = 2.6109265459654632163759454563803 absolute error = 1e-31 relative error = 3.8300579598658222394233045895808e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.022 y[1] (analytic) = 2.6114718235169769992652546739592 y[1] (numeric) = 2.6114718235169769992652546739591 absolute error = 1e-31 relative error = 3.8292582404862353996080918374195e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.023 y[1] (analytic) = 2.612017092869748951237445500494 y[1] (numeric) = 2.6120170928697489512374455004939 absolute error = 1e-31 relative error = 3.8284588670180883776373538384659e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.157 Order of pole = 2.159e-27 TOP MAIN SOLVE Loop x[1] = 4.024 y[1] (analytic) = 2.6125623540267477486383537821182 y[1] (numeric) = 2.6125623540267477486383537821181 absolute error = 1e-31 relative error = 3.8276598392329198802912384806956e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.772 Order of pole = 6.218e-27 TOP MAIN SOLVE Loop x[1] = 4.025 y[1] (analytic) = 2.613107606990940455716949620824 y[1] (numeric) = 2.6131076069909404557169496208239 absolute error = 1e-31 relative error = 3.8268611569024718001657263356998e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.026 y[1] (analytic) = 2.6136528517652925257923607299977 y[1] (numeric) = 2.6136528517652925257923607299976 absolute error = 1e-31 relative error = 3.8260628197986889884773069212036e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.027 y[1] (analytic) = 2.6141980883527678024198399468588 y[1] (numeric) = 2.6141980883527678024198399468587 absolute error = 1e-31 relative error = 3.8252648276937190281735754323013e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.028 y[1] (analytic) = 2.6147433167563285205556780479006 y[1] (numeric) = 2.6147433167563285205556780479005 absolute error = 1e-31 relative error = 3.8244671803599120073492683237856e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.029 y[1] (analytic) = 2.6152885369789353077210630119798 y[1] (numeric) = 2.6152885369789353077210630119797 absolute error = 1e-31 relative error = 3.8236698775698202929672569936399e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.03 y[1] (analytic) = 2.6158337490235471851648868742535 y[1] (numeric) = 2.6158337490235471851648868742534 absolute error = 1e-31 relative error = 3.8228729190961983048840196837066e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.031 y[1] (analytic) = 2.6163789528931215690255013127141 y[1] (numeric) = 2.616378952893121569025501312714 absolute error = 1e-31 relative error = 3.8220763047120022901791125777257e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.032 y[1] (analytic) = 2.6169241485906142714914231076296 y[1] (numeric) = 2.6169241485906142714914231076295 absolute error = 1e-31 relative error = 3.8212800341903900977881619393672e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.033 y[1] (analytic) = 2.6174693361189795019609906127514 y[1] (numeric) = 2.6174693361189795019609906127513 absolute error = 1e-31 relative error = 3.8204841073047209534388999935661e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.034 y[1] (analytic) = 2.618014515481169868200972375714 y[1] (numeric) = 2.6180145154811698682009723757138 memory used=476.8MB, alloc=4.4MB, time=56.04 absolute error = 2e-31 relative error = 7.6393770476571104697795362268082e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.035 y[1] (analytic) = 2.6185596866801363775041290436091 y[1] (numeric) = 2.6185596866801363775041290436089 absolute error = 2e-31 relative error = 7.6377865670713084949412234639639e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.036 y[1] (analytic) = 2.6191048497188284378457296882842 y[1] (numeric) = 2.6191048497188284378457296882841 absolute error = 1e-31 relative error = 3.8180983861999799999249922541850e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.037 y[1] (analytic) = 2.6196500046001938590390236844769 y[1] (numeric) = 2.6196500046001938590390236844767 absolute error = 2e-31 relative error = 7.6346076631913899611072841939521e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.038 y[1] (analytic) = 2.620195151327178853889669272466 y[1] (numeric) = 2.6201951513271788538896692724659 absolute error = 1e-31 relative error = 3.8165096194971619336585898388501e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.039 y[1] (analytic) = 2.6207402899027280393491199354924 y[1] (numeric) = 2.6207402899027280393491199354922 absolute error = 2e-31 relative error = 7.6314314993578872725749666187067e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.04 y[1] (analytic) = 2.621285420329784437666969720768 y[1] (numeric) = 2.6212854203297844376669697207679 absolute error = 1e-31 relative error = 3.8149222219158026752776392981378e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.041 y[1] (analytic) = 2.6218305426112894775422586314739 y[1] (numeric) = 2.6218305426112894775422586314737 absolute error = 2e-31 relative error = 7.6282580719654024491986988196818e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.042 y[1] (analytic) = 2.6223756567501829952737392157143 y[1] (numeric) = 2.6223756567501829952737392157141 absolute error = 2e-31 relative error = 7.6266723833096016459959448724507e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.043 y[1] (analytic) = 2.6229207627494032359091054769815 y[1] (numeric) = 2.6229207627494032359091054769813 absolute error = 2e-31 relative error = 7.6250873774149243038686889208170e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.044 y[1] (analytic) = 2.6234658606118868543931852292582 y[1] (numeric) = 2.623465860611886854393185229258 absolute error = 2e-31 relative error = 7.6235030538324896276460774994725e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.52 Order of pole = 3.408e-27 TOP MAIN SOLVE Loop x[1] = 4.045 y[1] (analytic) = 2.6240109503405689167150970184707 y[1] (numeric) = 2.6240109503405689167150970184705 absolute error = 2e-31 relative error = 7.6219194121138142211360166677108e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.046 y[1] (analytic) = 2.6245560319383829010543727305888 y[1] (numeric) = 2.6245560319383829010543727305886 absolute error = 2e-31 relative error = 7.6203364518108116447902900057030e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.047 y[1] (analytic) = 2.6251011054082606989260470052548 y[1] (numeric) = 2.6251011054082606989260470052546 absolute error = 2e-31 relative error = 7.6187541724757919739625785938685e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.134 Order of pole = 4.488e-27 TOP MAIN SOLVE Loop x[1] = 4.048 y[1] (analytic) = 2.625646170753132616324714572412 y[1] (numeric) = 2.6256461707531326163247145724117 absolute error = 3e-31 relative error = 1.1425758860492192036637680682240e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.211 Order of pole = 9.576e-27 TOP MAIN SOLVE Loop x[1] = 4.049 y[1] (analytic) = 2.6261912279759273748675566279922 y[1] (numeric) = 2.626191227975927374867556627992 absolute error = 2e-31 relative error = 7.6155916549209215784764152705582e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.05 y[1] (analytic) = 2.6267362770795721129363373633174 y[1] (numeric) = 2.6267362770795721129363373633172 absolute error = 2e-31 relative error = 7.6140114158076696116390485171868e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.051 y[1] (analytic) = 2.6272813180669923868183717614598 y[1] (numeric) = 2.6272813180669923868183717614596 absolute error = 2e-31 relative error = 7.6124318558755971866133774862126e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.052 y[1] (analytic) = 2.6278263509411121718464657724059 y[1] (numeric) = 2.6278263509411121718464657724057 absolute error = 2e-31 relative error = 7.6108529746789903478194899841065e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.053 y[1] (analytic) = 2.6283713757048538635378299774651 y[1] (numeric) = 2.6283713757048538635378299774649 absolute error = 2e-31 relative error = 7.6092747717725290165265148218994e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.054 y[1] (analytic) = 2.6289163923611382787319678519648 y[1] (numeric) = 2.6289163923611382787319678519647 absolute error = 1e-31 relative error = 3.8038486233556432766175157614001e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.055 y[1] (analytic) = 2.6294614009128846567275397338774 y[1] (numeric) = 2.6294614009128846567275397338772 absolute error = 2e-31 relative error = 7.6061203990507293206449949889392e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.056 y[1] (analytic) = 2.6300064013630106604182036046257 y[1] (numeric) = 2.6300064013630106604182036046255 absolute error = 2e-31 relative error = 7.6045442283467162472082591780879e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.057 y[1] (analytic) = 2.6305513937144323774274337869248 y[1] (numeric) = 2.6305513937144323774274337869246 absolute error = 2e-31 relative error = 7.6029687341554983912647854809648e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.972 Order of pole = 8.960e-27 TOP MAIN SOLVE Loop x[1] = 4.058 y[1] (analytic) = 2.6310963779700643212423186631208 y[1] (numeric) = 2.6310963779700643212423186631207 absolute error = 1e-31 relative error = 3.8006969580168592528808115631059e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.059 y[1] (analytic) = 2.6316413541328194323463385161025 y[1] (numeric) = 2.6316413541328194323463385161024 absolute error = 1e-31 relative error = 3.7999098867692053017768752866390e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.06 y[1] (analytic) = 2.6321863222056090793511245934703 y[1] (numeric) = 2.6321863222056090793511245934703 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.061 y[1] (analytic) = 2.632731282191343060127200494265 y[1] (numeric) = 2.632731282191343060127200494265 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.062 y[1] (analytic) = 2.6332762340929296029337069761711 y[1] (numeric) = 2.633276234092929602933706976171 absolute error = 1e-31 relative error = 3.7975506976937593557238237871814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.063 y[1] (analytic) = 2.6338211779132753675471112797312 y[1] (numeric) = 2.6338211779132753675471112797311 absolute error = 1e-31 relative error = 3.7967649754881244435833178055075e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.064 y[1] (analytic) = 2.6343661136552854463889020647275 y[1] (numeric) = 2.6343661136552854463889020647274 absolute error = 1e-31 relative error = 3.7959795899912374176100064921001e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.065 y[1] (analytic) = 2.6349110413218633656522710525065 y[1] (numeric) = 2.6349110413218633656522710525064 absolute error = 1e-31 relative error = 3.7951945409827845158489185711166e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=480.6MB, alloc=4.4MB, time=56.49 TOP MAIN SOLVE Loop x[1] = 4.066 y[1] (analytic) = 2.6354559609159110864277824666509 y[1] (numeric) = 2.6354559609159110864277824666508 absolute error = 1e-31 relative error = 3.7944098282426460929599531421020e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.067 y[1] (analytic) = 2.6360008724403290058280313630264 y[1] (numeric) = 2.6360008724403290058280313630262 absolute error = 2e-31 relative error = 7.5872509031017928103588861222425e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.068 y[1] (analytic) = 2.6365457758980159581112919388596 y[1] (numeric) = 2.6365457758980159581112919388595 absolute error = 1e-31 relative error = 3.7928414106878033955685856129050e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.069 y[1] (analytic) = 2.637090671291869215804156909136 y[1] (numeric) = 2.6370906712918692158041569091358 absolute error = 2e-31 relative error = 7.5841154108676569590965860601329e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.07 y[1] (analytic) = 2.6376355586247844908231690372336 y[1] (numeric) = 2.6376355586247844908231690372334 absolute error = 2e-31 relative error = 7.5825486711392526614400324282944e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.071 y[1] (analytic) = 2.63818043789965593559544590535 y[1] (numeric) = 2.6381804378996559355954459053498 absolute error = 2e-31 relative error = 7.5809826017520893339441916206295e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.193 Order of pole = 3.292e-27 TOP MAIN SOLVE Loop x[1] = 4.072 y[1] (analytic) = 2.6387253091193761441782990089083 y[1] (numeric) = 2.6387253091193761441782990089081 absolute error = 2e-31 relative error = 7.5794172022682480737423911660576e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.073 y[1] (analytic) = 2.6392701722868361533778482577719 y[1] (numeric) = 2.6392701722868361533778482577717 absolute error = 2e-31 relative error = 7.5778524722501952126767476677278e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.592 Order of pole = 7.191e-27 TOP MAIN SOLVE Loop x[1] = 4.074 y[1] (analytic) = 2.6398150274049254438666329657344 y[1] (numeric) = 2.6398150274049254438666329657342 absolute error = 2e-31 relative error = 7.5762884112607818912186987899368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.075 y[1] (analytic) = 2.6403598744765319413002204083952 y[1] (numeric) = 2.6403598744765319413002204083949 absolute error = 3e-31 relative error = 1.1362087528294865449435558566999e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.076 y[1] (analytic) = 2.6409047135045420174328130281725 y[1] (numeric) = 2.6409047135045420174328130281723 absolute error = 2e-31 relative error = 7.5731622946211999196525756043063e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.077 y[1] (analytic) = 2.6414495444918404912318553638558 y[1] (numeric) = 2.6414495444918404912318553638556 absolute error = 2e-31 relative error = 7.5716002380986537668585219421834e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.078 y[1] (analytic) = 2.6419943674413106299916417807416 y[1] (numeric) = 2.6419943674413106299916417807414 absolute error = 2e-31 relative error = 7.5700388488599913001057486743874e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.464 Order of pole = 3.27e-28 TOP MAIN SOLVE Loop x[1] = 4.079 y[1] (analytic) = 2.642539182355834150445926076052 y[1] (numeric) = 2.6425391823558341504459260760518 absolute error = 2e-31 relative error = 7.5684781264699813316520125451497e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.08 y[1] (analytic) = 2.6430839892382912198795340329838 y[1] (numeric) = 2.6430839892382912198795340329835 absolute error = 3e-31 relative error = 1.1350377105740662406691429095386e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.081 y[1] (analytic) = 2.6436287880915604572389799953892 y[1] (numeric) = 2.643628788091560457238979995389 absolute error = 2e-31 relative error = 7.5653586804969050367433118621219e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.082 y[1] (analytic) = 2.6441735789185189342420885337486 y[1] (numeric) = 2.6441735789185189342420885337484 absolute error = 2e-31 relative error = 7.5637999560452859670595074060923e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.083 y[1] (analytic) = 2.6447183617220421764866222717475 y[1] (numeric) = 2.6447183617220421764866222717472 absolute error = 3e-31 relative error = 1.1343362845057819599974020860704e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.084 y[1] (analytic) = 2.6452631365050041645579169414341 y[1] (numeric) = 2.6452631365050041645579169414338 absolute error = 3e-31 relative error = 1.1341026753065043378482027268622e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.673 Order of pole = 6.959e-27 TOP MAIN SOLVE Loop x[1] = 4.085 y[1] (analytic) = 2.6458079032702773351355247335942 y[1] (numeric) = 2.6458079032702773351355247335939 absolute error = 3e-31 relative error = 1.1338691657440184399851216587858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.086 y[1] (analytic) = 2.64635266202073258209886700864 y[1] (numeric) = 2.6463526620207325820988670086397 absolute error = 3e-31 relative error = 1.1336357557534396387353571339122e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.087 y[1] (analytic) = 2.6468974127592392576318974319802 y[1] (numeric) = 2.64689741275923925763189743198 absolute error = 2e-31 relative error = 7.5560163017996013637596754734275e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.088 y[1] (analytic) = 2.6474421554886651733267765965007 y[1] (numeric) = 2.6474421554886651733267765965005 absolute error = 2e-31 relative error = 7.5544615615249949556110006712202e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.089 y[1] (analytic) = 2.647986890211876601286559193457 y[1] (numeric) = 2.6479868902118766012865591934568 absolute error = 2e-31 relative error = 7.5529074837676842246403588939362e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.09 y[1] (analytic) = 2.6485316169317382752268947917502 y[1] (numeric) = 2.64853161693173827522689479175 absolute error = 2e-31 relative error = 7.5513540680966197629728653614849e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.091 y[1] (analytic) = 2.6490763356511133915767432842298 y[1] (numeric) = 2.6490763356511133915767432842296 absolute error = 2e-31 relative error = 7.5498013140811298141237150542319e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.092 y[1] (analytic) = 2.6496210463728636105781060583428 y[1] (numeric) = 2.6496210463728636105781060583426 absolute error = 2e-31 relative error = 7.5482492212909198569998413868233e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.093 y[1] (analytic) = 2.6501657490998490573847739471234 y[1] (numeric) = 2.6501657490998490573847739471232 absolute error = 2e-31 relative error = 7.5466977892960721904534091848021e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.446 Order of pole = 9.80e-28 TOP MAIN SOLVE Loop x[1] = 4.094 y[1] (analytic) = 2.6507104438349283231600930151989 y[1] (numeric) = 2.6507104438349283231600930151987 absolute error = 2e-31 relative error = 7.5451470176670455183862860636083e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.095 y[1] (analytic) = 2.6512551305809584661737492331639 y[1] (numeric) = 2.6512551305809584661737492331637 absolute error = 2e-31 relative error = 7.5435969059746745354046378287824e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.096 y[1] (analytic) = 2.651799809340795012897573092361 y[1] (numeric) = 2.6517998093407950128975730923608 absolute error = 2e-31 relative error = 7.5420474537901695130227950323740e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.097 y[1] (analytic) = 2.6523444801172919591003652107875 y[1] (numeric) = 2.6523444801172919591003652107873 absolute error = 2e-31 memory used=484.4MB, alloc=4.4MB, time=56.95 relative error = 7.5404986606851158864155393337210e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.098 y[1] (analytic) = 2.6528891429133017709417439795352 y[1] (numeric) = 2.652889142913301770941743979535 absolute error = 2e-31 relative error = 7.5389505262314738417179598228979e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.9052 Order of pole = 1.311e-27 TOP MAIN SOLVE Loop x[1] = 4.099 y[1] (analytic) = 2.6534337977316753860650162978575 y[1] (numeric) = 2.6534337977316753860650162978572 absolute error = 3e-31 relative error = 1.1306104575002366855808046458378e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 24.74 Order of pole = 1.080e-25 TOP MAIN SOLVE Loop x[1] = 4.1 y[1] (analytic) = 2.6539784445752622146890724436479 y[1] (numeric) = 2.6539784445752622146890724436476 absolute error = 3e-31 relative error = 1.1303784347352204787528598078337e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.101 y[1] (analytic) = 2.6545230834469101406993061248066 y[1] (numeric) = 2.6545230834469101406993061248064 absolute error = 2e-31 relative error = 7.5343100705042316734371960154230e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.102 y[1] (analytic) = 2.6550677143494655227375607556638 y[1] (numeric) = 2.6550677143494655227375607556635 absolute error = 3e-31 relative error = 1.1299146849574977634534566026545e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.103 y[1] (analytic) = 2.6556123372857731952911030013239 y[1] (numeric) = 2.6556123372857731952911030013236 absolute error = 3e-31 relative error = 1.1296829578168836814975094860128e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.104 y[1] (analytic) = 2.6561569522586764697806246314946 y[1] (numeric) = 2.6561569522586764697806246314943 absolute error = 3e-31 relative error = 1.1294513290899225135104080751474e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.105 y[1] (analytic) = 2.6567015592710171356472737240597 y[1] (numeric) = 2.6567015592710171356472737240594 absolute error = 3e-31 relative error = 1.1292197987128000494528508455528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.106 y[1] (analytic) = 2.6572461583256354614387162573593 y[1] (numeric) = 2.657246158325635461438716257359 absolute error = 3e-31 relative error = 1.1289883666217577996310650176055e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.107 y[1] (analytic) = 2.6577907494253701958942291288408 y[1] (numeric) = 2.6577907494253701958942291288405 absolute error = 3e-31 relative error = 1.1287570327530929335253051759123e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.108 y[1] (analytic) = 2.6583353325730585690288256364519 y[1] (numeric) = 2.6583353325730585690288256364516 absolute error = 3e-31 relative error = 1.1285257970431582186992249800935e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.109 y[1] (analytic) = 2.6588799077715362932164144578499 y[1] (numeric) = 2.6588799077715362932164144578496 absolute error = 3e-31 relative error = 1.1282946594283619597899969528283e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.11 y[1] (analytic) = 2.6594244750236375642719931612126 y[1] (numeric) = 2.6594244750236375642719931612123 absolute error = 3e-31 relative error = 1.1280636198451679375790555521507e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 11.02 Order of pole = 5.628e-27 TOP MAIN SOLVE Loop x[1] = 4.111 y[1] (analytic) = 2.6599690343321950625328772801451 y[1] (numeric) = 2.6599690343321950625328772801449 absolute error = 2e-31 relative error = 7.5188845215339689876222597046559e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.112 y[1] (analytic) = 2.6605135857000399539389659838893 y[1] (numeric) = 2.6605135857000399539389659838891 absolute error = 2e-31 relative error = 7.5173455634647916139127013659685e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.113 y[1] (analytic) = 2.6610581291300018911120453727556 y[1] (numeric) = 2.6610581291300018911120453727554 absolute error = 2e-31 relative error = 7.5158072576711197590186571792454e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.516 Order of pole = 2.867e-27 TOP MAIN SOLVE Loop x[1] = 4.114 y[1] (analytic) = 2.661602664624909014434130427414 y[1] (numeric) = 2.6616026646249090144341304274138 absolute error = 2e-31 relative error = 7.5142696037308539407669484763206e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.115 y[1] (analytic) = 2.6621471921875879531248466393978 y[1] (numeric) = 2.6621471921875879531248466393976 absolute error = 2e-31 relative error = 7.5127326012222624950042247936592e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.116 y[1] (analytic) = 2.6626917118208638263178523488927 y[1] (numeric) = 2.6626917118208638263178523488925 absolute error = 2e-31 relative error = 7.5111962497239811726094602319251e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.117 y[1] (analytic) = 2.6632362235275602441363028146056 y[1] (numeric) = 2.6632362235275602441363028146054 absolute error = 2e-31 relative error = 7.5096605488150127370381557400622e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.118 y[1] (analytic) = 2.6637807273104993087673570392304 y[1] (numeric) = 2.6637807273104993087673570392302 absolute error = 2e-31 relative error = 7.5081254980747265623974270603368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.119 y[1] (analytic) = 2.6643252231725016155357283727523 y[1] (numeric) = 2.6643252231725016155357283727521 absolute error = 2e-31 relative error = 7.5065910970828582320511595189736e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.682 Order of pole = 2.342e-27 TOP MAIN SOLVE Loop x[1] = 4.12 y[1] (analytic) = 2.6648697111163862539762799145602 y[1] (numeric) = 2.66486971111638625397627991456 absolute error = 2e-31 relative error = 7.5050573454195091377544122923171e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.121 y[1] (analytic) = 2.665414191144970808905665734063 y[1] (numeric) = 2.6654141911449708089056657340628 absolute error = 2e-31 relative error = 7.5035242426651460793162562208894e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.122 y[1] (analytic) = 2.6659586632610713614930189282378 y[1] (numeric) = 2.6659586632610713614930189282376 absolute error = 2e-31 relative error = 7.5019917884006008647902306832750e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.123 y[1] (analytic) = 2.6665031274675024903296875332695 y[1] (numeric) = 2.6665031274675024903296875332693 absolute error = 2e-31 relative error = 7.5004599822070699111916064784699e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.124 y[1] (analytic) = 2.6670475837670772724980193061747 y[1] (numeric) = 2.6670475837670772724980193061745 absolute error = 2e-31 relative error = 7.4989288236661138457406430991869e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.125 y[1] (analytic) = 2.6675920321626072846391963910387 y[1] (numeric) = 2.6675920321626072846391963910385 absolute error = 2e-31 relative error = 7.4973983123596571076310302096137e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.126 y[1] (analytic) = 2.6681364726569026040201208832323 y[1] (numeric) = 2.6681364726569026040201208832321 absolute error = 2e-31 relative error = 7.4958684478699875503227045692816e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.127 y[1] (analytic) = 2.6686809052527718095993523037137 y[1] (numeric) = 2.6686809052527718095993523037135 absolute error = 2e-31 relative error = 7.4943392297797560443582350700368e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.827 Order of pole = 2.860e-27 TOP MAIN SOLVE Loop x[1] = 4.128 y[1] (analytic) = 2.6692253299530219830920979942627 y[1] (numeric) = 2.6692253299530219830920979942625 absolute error = 2e-31 relative error = 7.4928106576719760807019699756038e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=488.3MB, alloc=4.4MB, time=57.40 TOP MAIN SOLVE Loop x[1] = 4.129 y[1] (analytic) = 2.6697697467604587100342574432357 y[1] (numeric) = 2.6697697467604587100342574432355 absolute error = 2e-31 relative error = 7.4912827311300233746011418729129e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.13 y[1] (analytic) = 2.6703141556778860808455215501768 y[1] (numeric) = 2.6703141556778860808455215501766 absolute error = 2e-31 relative error = 7.4897554497376354699681272612237e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.131 y[1] (analytic) = 2.6708585567081066918915278363644 y[1] (numeric) = 2.6708585567081066918915278363642 absolute error = 2e-31 relative error = 7.4882288130789113442830591191335e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.132 y[1] (analytic) = 2.6714029498539216465450726071234 y[1] (numeric) = 2.6714029498539216465450726071232 absolute error = 2e-31 relative error = 7.4867028207383110140159922008058e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.133 y[1] (analytic) = 2.6719473351181305562463810704801 y[1] (numeric) = 2.6719473351181305562463810704799 absolute error = 2e-31 relative error = 7.4851774723006551405678222212121e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.134 y[1] (analytic) = 2.6724917125035315415624364154914 y[1] (numeric) = 2.6724917125035315415624364154912 absolute error = 2e-31 relative error = 7.4836527673511246367291614958368e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.135 y[1] (analytic) = 2.673036082012921233245368852332 y[1] (numeric) = 2.6730360820129212332453688523318 absolute error = 2e-31 relative error = 7.4821287054752602736563750031735e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.136 y[1] (analytic) = 2.6735804436490947732899056149785 y[1] (numeric) = 2.6735804436490947732899056149784 absolute error = 1e-31 relative error = 3.7403026431294811441819911192204e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.137 y[1] (analytic) = 2.6741247974148458159898829260875 y[1] (numeric) = 2.6741247974148458159898829260873 absolute error = 2e-31 relative error = 7.4790825092884899917326316242660e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.138 y[1] (analytic) = 2.674669143312966528993820922421 y[1] (numeric) = 2.6746691433129665289938209224208 absolute error = 2e-31 relative error = 7.4775603741504613770318556386528e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.151 Order of pole = 2.626e-27 TOP MAIN SOLVE Loop x[1] = 4.139 y[1] (analytic) = 2.6752134813462475943595625379376 y[1] (numeric) = 2.6752134813462475943595625379375 absolute error = 1e-31 relative error = 3.7380194402159263644784081061657e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.14 y[1] (analytic) = 2.6757578115174782096079773404251 y[1] (numeric) = 2.675757811517478209607977340425 absolute error = 1e-31 relative error = 3.7372590138599991165891256683244e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.141 y[1] (analytic) = 2.6763021338294460887757313163172 y[1] (numeric) = 2.6763021338294460887757313163171 absolute error = 1e-31 relative error = 3.7364989078012947932024176047230e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.344 Order of pole = 3.038e-27 TOP MAIN SOLVE Loop x[1] = 4.142 y[1] (analytic) = 2.6768464482849374634671235971035 y[1] (numeric) = 2.6768464482849374634671235971034 absolute error = 1e-31 relative error = 3.7357391218338378034785828149572e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.1 Order of pole = 8.146e-27 TOP MAIN SOLVE Loop x[1] = 4.143 y[1] (analytic) = 2.6773907548867370839049911195064 y[1] (numeric) = 2.6773907548867370839049911195063 absolute error = 1e-31 relative error = 3.7349796557518309229262968671261e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.144 y[1] (analytic) = 2.6779350536376282199806822103715 y[1] (numeric) = 2.6779350536376282199806822103714 absolute error = 1e-31 relative error = 3.7342205093496550992000562710096e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.145 y[1] (analytic) = 2.6784793445403926623031000859863 y[1] (numeric) = 2.6784793445403926623031000859862 absolute error = 1e-31 relative error = 3.7334616824218692581522610792262e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.146 y[1] (analytic) = 2.6790236275978107232468172543169 y[1] (numeric) = 2.6790236275978107232468172543168 absolute error = 1e-31 relative error = 3.7327031747632101101395454253235e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.147 y[1] (analytic) = 2.6795679028126612379992618074251 y[1] (numeric) = 2.679567902812661237999261807425 absolute error = 1e-31 relative error = 3.7319449861685919565829662927218e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.148 y[1] (analytic) = 2.6801121701877215656069765901064 y[1] (numeric) = 2.6801121701877215656069765901063 absolute error = 1e-31 relative error = 3.7311871164331064967816614920378e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.149 y[1] (analytic) = 2.6806564297257675900209522295665 y[1] (numeric) = 2.6806564297257675900209522295664 absolute error = 1e-31 relative error = 3.7304295653520226349795885065846e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.15 y[1] (analytic) = 2.6812006814295737211410350097329 y[1] (numeric) = 2.6812006814295737211410350097328 absolute error = 1e-31 relative error = 3.7296723327207862876849565467523e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.151 y[1] (analytic) = 2.681744925301912895859410572582 y[1] (numeric) = 2.6817449253019128958594105725819 absolute error = 1e-31 relative error = 3.7289154183350201912419648335486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.152 y[1] (analytic) = 2.6822891613455565791031644276425 y[1] (numeric) = 2.6822891613455565791031644276424 absolute error = 1e-31 relative error = 3.7281588219905237096544608098062e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.153 y[1] (analytic) = 2.682833389563274764875920249623 y[1] (numeric) = 2.6828333895632747648759202496229 absolute error = 1e-31 relative error = 3.7274025434832726426611326544528e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.154 y[1] (analytic) = 2.6833776099578359772985569428974 y[1] (numeric) = 2.6833776099578359772985569428973 absolute error = 1e-31 relative error = 3.7266465826094190340618511507987e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.155 y[1] (analytic) = 2.6839218225320072716490054503702 y[1] (numeric) = 2.6839218225320072716490054503701 absolute error = 1e-31 relative error = 3.7258909391652909802947766340153e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.156 y[1] (analytic) = 2.684466027288554235401126283034 y[1] (numeric) = 2.6844660272885542354011262830338 absolute error = 2e-31 relative error = 7.4502712258947848785276948317471e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.157 y[1] (analytic) = 2.6850102242302409892626687453224 y[1] (numeric) = 2.6850102242302409892626687453223 absolute error = 1e-31 relative error = 3.7243806037524030394162667563785e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.158 y[1] (analytic) = 2.6855544133598301882123128301584 y[1] (numeric) = 2.6855544133598301882123128301582 absolute error = 2e-31 relative error = 7.4472518227543557781392122443441e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.159 y[1] (analytic) = 2.686098594680083022535794756387 y[1] (numeric) = 2.6860985946800830225357947563868 absolute error = 2e-31 relative error = 7.4457430712374947719762862810207e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.16 y[1] (analytic) = 2.6866427681937592188611171200857 y[1] (numeric) = 2.6866427681937592188611171200856 memory used=492.1MB, alloc=4.4MB, time=57.85 absolute error = 1e-31 relative error = 3.7221174762743170272080533252101e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.161 y[1] (analytic) = 2.6871869339036170411928446300387 y[1] (numeric) = 2.6871869339036170411928446300386 absolute error = 1e-31 relative error = 3.7213637331412672191110753172598e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.162 y[1] (analytic) = 2.6877310918124132919454863964638 y[1] (numeric) = 2.6877310918124132919454863964637 absolute error = 1e-31 relative error = 3.7206103060171530877462700477616e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.163 y[1] (analytic) = 2.6882752419229033129759657408837 y[1] (numeric) = 2.6882752419229033129759657408836 absolute error = 1e-31 relative error = 3.7198571946997042893994948945356e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.164 y[1] (analytic) = 2.6888193842378409866151784938346 y[1] (numeric) = 2.6888193842378409866151784938344 absolute error = 2e-31 relative error = 7.4382087979736496428204291321668e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.165 y[1] (analytic) = 2.6893635187599787366986407459124 y[1] (numeric) = 2.6893635187599787366986407459123 absolute error = 1e-31 relative error = 3.7183519186765928332352711076607e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.166 y[1] (analytic) = 2.6899076454920675295962270164644 y[1] (numeric) = 2.6899076454920675295962270164643 absolute error = 1e-31 relative error = 3.7175997535672604377592360839638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.167 y[1] (analytic) = 2.6904517644368568752409998030392 y[1] (numeric) = 2.6904517644368568752409998030391 absolute error = 1e-31 relative error = 3.7168479034572535228509686513988e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.168 y[1] (analytic) = 2.690995875597094828157131473524 y[1] (numeric) = 2.6909958755970948281571314735239 absolute error = 1e-31 relative error = 3.7160963681451715631660038900569e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.169 y[1] (analytic) = 2.6915399789755279884869194617052 y[1] (numeric) = 2.6915399789755279884869194617052 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.17 y[1] (analytic) = 2.6920840745749015030168957258057 y[1] (numeric) = 2.6920840745749015030168957258056 absolute error = 1e-31 relative error = 3.7145942411100472145536449922087e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.171 y[1] (analytic) = 2.6926281623979590662030314283644 y[1] (numeric) = 2.6926281623979590662030314283643 absolute error = 1e-31 relative error = 3.7138436489850700185263243587464e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.172 y[1] (analytic) = 2.6931722424474429211950377946447 y[1] (numeric) = 2.6931722424474429211950377946447 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.173 y[1] (analytic) = 2.6937163147260938608597641055739 y[1] (numeric) = 2.6937163147260938608597641055739 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.174 y[1] (analytic) = 2.6942603792366512288036937800371 y[1] (numeric) = 2.6942603792366512288036937800371 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.175 y[1] (analytic) = 2.6948044359818529203945395001728 y[1] (numeric) = 2.6948044359818529203945395001728 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.176 y[1] (analytic) = 2.6953484849644353837819383321387 y[1] (numeric) = 2.6953484849644353837819383321388 absolute error = 1e-31 relative error = 3.7100953942628862400437833335589e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 42.57 Order of pole = 1.043e-25 TOP MAIN SOLVE Loop x[1] = 4.177 y[1] (analytic) = 2.6958925261871336209172477936443 y[1] (numeric) = 2.6958925261871336209172477936444 absolute error = 1e-31 relative error = 3.7093466830976542141111129340592e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.178 y[1] (analytic) = 2.6964365596526811885724438183703 y[1] (numeric) = 2.6964365596526811885724438183704 absolute error = 1e-31 relative error = 3.7085982847258479347696038832402e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.179 y[1] (analytic) = 2.6969805853638101993581215662289 y[1] (numeric) = 2.696980585363810199358121566229 absolute error = 1e-31 relative error = 3.7078501989479639802192682499871e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.18 y[1] (analytic) = 2.6975246033232513227406000272442 y[1] (numeric) = 2.6975246033232513227406000272443 absolute error = 1e-31 relative error = 3.7071024255646702761143763993991e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.181 y[1] (analytic) = 2.6980686135337337860581313656671 y[1] (numeric) = 2.6980686135337337860581313656672 absolute error = 1e-31 relative error = 3.7063549643768059105277530520165e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.182 y[1] (analytic) = 2.6986126159979853755362159497719 y[1] (numeric) = 2.698612615997985375536215949772 absolute error = 1e-31 relative error = 3.7056078151853809491557130680786e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.183 y[1] (analytic) = 2.6991566107187324373020240116175 y[1] (numeric) = 2.6991566107187324373020240116176 absolute error = 1e-31 relative error = 3.7048609777915762507632710308795e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.184 y[1] (analytic) = 2.6997005976986998783979248798924 y[1] (numeric) = 2.6997005976986998783979248798925 absolute error = 1e-31 relative error = 3.7041144519967432828692593401102e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.185 y[1] (analytic) = 2.7002445769406111677941247278018 y[1] (numeric) = 2.7002445769406111677941247278019 absolute error = 1e-31 relative error = 3.7033682376024039376709901616505e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.186 y[1] (analytic) = 2.7007885484471883374004137767956 y[1] (numeric) = 2.7007885484471883374004137767956 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.187 y[1] (analytic) = 2.7013325122211519830770238957769 y[1] (numeric) = 2.7013325122211519830770238957769 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.721 Order of pole = 3.242e-27 TOP MAIN SOLVE Loop x[1] = 4.188 y[1] (analytic) = 2.7018764682652212656445975342765 y[1] (numeric) = 2.7018764682652212656445975342765 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.189 y[1] (analytic) = 2.7024204165821139118932689269206 y[1] (numeric) = 2.7024204165821139118932689269206 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.19 y[1] (analytic) = 2.7029643571745462155908585053684 y[1] (numeric) = 2.7029643571745462155908585053684 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.191 y[1] (analytic) = 2.7035082900452330384901814527442 y[1] (numeric) = 2.7035082900452330384901814527442 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.192 y[1] (analytic) = 2.7040522151968878113354713344373 y[1] (numeric) = 2.7040522151968878113354713344373 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 memory used=495.9MB, alloc=4.4MB, time=58.31 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.193 y[1] (analytic) = 2.7045961326322225348679197379965 y[1] (numeric) = 2.7045961326322225348679197379965 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.549 Order of pole = 2.666e-27 TOP MAIN SOLVE Loop x[1] = 4.194 y[1] (analytic) = 2.7051400423539477808303328536974 y[1] (numeric) = 2.7051400423539477808303328536974 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.195 y[1] (analytic) = 2.705683944364772692970905926217 y[1] (numeric) = 2.705683944364772692970905926217 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.196 y[1] (analytic) = 2.706227838667404988046116506706 y[1] (numeric) = 2.706227838667404988046116506706 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.197 y[1] (analytic) = 2.7067717252645509568227374334067 y[1] (numeric) = 2.7067717252645509568227374334067 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.198 y[1] (analytic) = 2.7073156041589154650789704678258 y[1] (numeric) = 2.7073156041589154650789704678257 absolute error = 1e-31 relative error = 3.6936956979224113504221015781710e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.199 y[1] (analytic) = 2.7078594753532019546047015123295 y[1] (numeric) = 2.7078594753532019546047015123295 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.2 y[1] (analytic) = 2.708403338850112444200878333896 y[1] (numeric) = 2.708403338850112444200878333896 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.201 y[1] (analytic) = 2.7089471946523475306780117176192 y[1] (numeric) = 2.7089471946523475306780117176192 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.202 y[1] (analytic) = 2.7094910427626063898538009724281 y[1] (numeric) = 2.7094910427626063898538009724281 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.203 y[1] (analytic) = 2.7100348831835867775498847103524 y[1] (numeric) = 2.7100348831835867775498847103524 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.204 y[1] (analytic) = 2.710578715917985030587717819533 y[1] (numeric) = 2.710578715917985030587717819533 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.205 y[1] (analytic) = 2.7111225409684960677835755500488 y[1] (numeric) = 2.7111225409684960677835755500488 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.206 y[1] (analytic) = 2.7116663583378133909426856305017 y[1] (numeric) = 2.7116663583378133909426856305017 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.207 y[1] (analytic) = 2.7122101680286290858524893321783 y[1] (numeric) = 2.7122101680286290858524893321783 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.208 y[1] (analytic) = 2.7127539700436338232750323964786 y[1] (numeric) = 2.7127539700436338232750323964786 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.681 Order of pole = 5.802e-27 TOP MAIN SOLVE Loop x[1] = 4.209 y[1] (analytic) = 2.7132977643855168599384867401834 y[1] (numeric) = 2.7132977643855168599384867401834 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.21 y[1] (analytic) = 2.7138415510569660395278038520073 y[1] (numeric) = 2.7138415510569660395278038520072 absolute error = 1e-31 relative error = 3.6848135058236090689786431073601e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.211 y[1] (analytic) = 2.7143853300606677936745007927659 y[1] (numeric) = 2.7143853300606677936745007927658 absolute error = 1e-31 relative error = 3.6840753187302612185433347322374e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.46 Order of pole = 1.873e-26 TOP MAIN SOLVE Loop x[1] = 4.212 y[1] (analytic) = 2.7149291013993071429455797103692 y[1] (numeric) = 2.7149291013993071429455797103691 absolute error = 1e-31 relative error = 3.6833374377422525006227221820043e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.213 y[1] (analytic) = 2.7154728650755676978315817797324 y[1] (numeric) = 2.7154728650755676978315817797324 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.214 y[1] (analytic) = 2.7160166210921316597337764765862 y[1] (numeric) = 2.7160166210921316597337764765861 absolute error = 1e-31 relative error = 3.6818625933072976906376937101826e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.215 y[1] (analytic) = 2.7165603694516798219504870930482 y[1] (numeric) = 2.7165603694516798219504870930481 absolute error = 1e-31 relative error = 3.6811256294732870083705955003109e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.216 y[1] (analytic) = 2.7171041101568915706625534017126 y[1] (numeric) = 2.7171041101568915706625534017125 absolute error = 1e-31 relative error = 3.6803889709704859243304084536263e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.374 Order of pole = 5.205e-27 TOP MAIN SOLVE Loop x[1] = 4.217 y[1] (analytic) = 2.717647843210444885917932373899 y[1] (numeric) = 2.7176478432104448859179323738989 absolute error = 1e-31 relative error = 3.6796526176057741432212236862255e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.218 y[1] (analytic) = 2.718191568615016342615437856595 y[1] (numeric) = 2.7181915686150163426154378565949 absolute error = 1e-31 relative error = 3.6789165691861958519738044387502e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.219 y[1] (analytic) = 2.7187352863732811114876201115205 y[1] (numeric) = 2.7187352863732811114876201115204 absolute error = 1e-31 relative error = 3.6781808255189595436022272179639e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.22 y[1] (analytic) = 2.719278996487912960082786118634 y[1] (numeric) = 2.719278996487912960082786118634 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.221 y[1] (analytic) = 2.7198226989615842537461615452999 y[1] (numeric) = 2.7198226989615842537461615452998 absolute error = 1e-31 relative error = 3.6767102516711673226891787507860e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.222 y[1] (analytic) = 2.7203663937969659566001952812287 y[1] (numeric) = 2.7203663937969659566001952812286 absolute error = 1e-31 relative error = 3.6759754211058483444805487623481e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.227 Order of pole = 2.935e-27 TOP MAIN SOLVE Loop x[1] = 4.223 y[1] (analytic) = 2.7209100809967276325240074382072 y[1] (numeric) = 2.7209100809967276325240074382071 absolute error = 1e-31 relative error = 3.6752408945233448671138485899353e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.224 y[1] (analytic) = 2.7214537605635374461319817125295 y[1] (numeric) = 2.7214537605635374461319817125294 absolute error = 1e-31 relative error = 3.6745066717316842798083765937078e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=499.7MB, alloc=4.5MB, time=58.75 TOP MAIN SOLVE Loop x[1] = 4.225 y[1] (analytic) = 2.7219974325000621637515030069475 y[1] (numeric) = 2.7219974325000621637515030069474 absolute error = 1e-31 relative error = 3.6737727525390572257652313726827e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.226 y[1] (analytic) = 2.7225410968089671543998412078587 y[1] (numeric) = 2.7225410968089671543998412078586 absolute error = 1e-31 relative error = 3.6730391367538174276069826172428e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.227 y[1] (analytic) = 2.7230847534929163907601820123573 y[1] (numeric) = 2.7230847534929163907601820123572 absolute error = 1e-31 relative error = 3.6723058241844815130421281629311e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.228 y[1] (analytic) = 2.7236284025545724501568056986794 y[1] (numeric) = 2.7236284025545724501568056986792 absolute error = 2e-31 relative error = 7.3431456292794576815079975575872e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 28.86 Order of pole = 9.585e-26 TOP MAIN SOLVE Loop x[1] = 4.229 y[1] (analytic) = 2.7241720439965965155294147324816 y[1] (numeric) = 2.7241720439965965155294147324815 absolute error = 1e-31 relative error = 3.6708401079284013265137728068056e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.23 y[1] (analytic) = 2.7247156778216483764066111003036 y[1] (numeric) = 2.7247156778216483764066111003034 absolute error = 2e-31 relative error = 7.3402154077190065390345267020941e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.231 y[1] (analytic) = 2.725259304032386429878524260472 y[1] (numeric) = 2.7252593040323864298785242604718 absolute error = 2e-31 relative error = 7.3387512044844023578902825926179e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.232 y[1] (analytic) = 2.7258029226314676815685906006228 y[1] (numeric) = 2.7258029226314676815685906006225 absolute error = 3e-31 relative error = 1.1005931408657470802238774047041e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.233 y[1] (analytic) = 2.7263465336215477466044852899254 y[1] (numeric) = 2.7263465336215477466044852899252 absolute error = 2e-31 relative error = 7.3358246111997218892874644108727e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.234 y[1] (analytic) = 2.7268901370052808505882074130152 y[1] (numeric) = 2.726890137005280850588207413015 absolute error = 2e-31 relative error = 7.3343622203879306227269317263295e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.235 y[1] (analytic) = 2.7274337327853198305653192715513 y[1] (numeric) = 2.727433732785319830565319271551 absolute error = 3e-31 relative error = 1.0999350649433850960254265004805e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.202 Order of pole = 3.689e-27 TOP MAIN SOLVE Loop x[1] = 4.236 y[1] (analytic) = 2.727977320964316135993340738241 y[1] (numeric) = 2.7279773209643161359933407382407 absolute error = 3e-31 relative error = 1.0997158872785372808337983798078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.237 y[1] (analytic) = 2.7285209015449198297092995470902 y[1] (numeric) = 2.7285209015449198297092995470899 absolute error = 3e-31 relative error = 1.0994968000066869896315433592061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.238 y[1] (analytic) = 2.7290644745297795888964384025589 y[1] (numeric) = 2.7290644745297795888964384025586 absolute error = 3e-31 relative error = 1.0992778030709233648563871368740e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.239 y[1] (analytic) = 2.7296080399215427060500797892282 y[1] (numeric) = 2.7296080399215427060500797892279 absolute error = 3e-31 relative error = 1.0990588964143837980870902686796e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.24 y[1] (analytic) = 2.730151597722855089942649362507 y[1] (numeric) = 2.7301515977228550899426493625068 absolute error = 2e-31 relative error = 7.3256005332016925240684978794459e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.241 y[1] (analytic) = 2.7306951479363612665878587998342 y[1] (numeric) = 2.730695147936361266587858799834 absolute error = 2e-31 relative error = 7.3241423580784489470218685968227e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.242 y[1] (analytic) = 2.7312386905647043802040489907588 y[1] (numeric) = 2.7312386905647043802040489907586 absolute error = 2e-31 relative error = 7.3226847836813734605530172255487e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.243 y[1] (analytic) = 2.7317822256105261941766944432116 y[1] (numeric) = 2.7317822256105261941766944432114 absolute error = 2e-31 relative error = 7.3212278096326652278017483948398e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.244 y[1] (analytic) = 2.7323257530764670920200697822106 y[1] (numeric) = 2.7323257530764670920200697822104 absolute error = 2e-31 relative error = 7.3197714355548433628043872201456e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.245 y[1] (analytic) = 2.7328692729651660783380792161766 y[1] (numeric) = 2.7328692729651660783380792161763 absolute error = 3e-31 relative error = 1.0977473491606119884700544035552e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.246 y[1] (analytic) = 2.7334127852792607797842498449668 y[1] (numeric) = 2.7334127852792607797842498449665 absolute error = 3e-31 relative error = 1.0975290728705299354463548537325e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.247 y[1] (analytic) = 2.7339562900213874460208896826725 y[1] (numeric) = 2.7339562900213874460208896826723 absolute error = 2e-31 relative error = 7.3154059093766792266427598487002e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 10.73 Order of pole = 4.923e-27 TOP MAIN SOLVE Loop x[1] = 4.248 y[1] (analytic) = 2.7344997871941809506774112671609 y[1] (numeric) = 2.7344997871941809506774112671607 absolute error = 2e-31 relative error = 7.3139519314139810758555911584700e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.249 y[1] (analytic) = 2.7350432768002747923078217272802 y[1] (numeric) = 2.73504327680027479230782172728 absolute error = 2e-31 relative error = 7.3124985515395522174602101742137e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.25 y[1] (analytic) = 2.735586758842301095347380177588 y[1] (numeric) = 2.7355867588423010953473801775878 absolute error = 2e-31 relative error = 7.3110457693778243315791882916669e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.251 y[1] (analytic) = 2.736130233322890611068423309402 y[1] (numeric) = 2.7361302333228906110684233094019 absolute error = 1e-31 relative error = 3.6547967922767733367649387339905e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.252 y[1] (analytic) = 2.7366737002446727185353600459166 y[1] (numeric) = 2.7366737002446727185353600459164 absolute error = 2e-31 relative error = 7.3081419966917857361756304892112e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.253 y[1] (analytic) = 2.7372171596102754255588361280708 y[1] (numeric) = 2.7372171596102754255588361280707 absolute error = 1e-31 relative error = 3.6533455027089624563546833407822e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.254 y[1] (analytic) = 2.7377606114223253696490694968022 y[1] (numeric) = 2.7377606114223253696490694968021 absolute error = 1e-31 relative error = 3.6526203051788320799344178698759e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.255 y[1] (analytic) = 2.7383040556834478189683573362633 y[1] (numeric) = 2.7383040556834478189683573362632 absolute error = 1e-31 relative error = 3.6518954055685098307914667275273e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 49.6 Order of pole = 1.411e-25 TOP MAIN SOLVE Loop x[1] = 4.256 memory used=503.5MB, alloc=4.5MB, time=59.20 y[1] (analytic) = 2.7388474923962666732827556415304 y[1] (numeric) = 2.7388474923962666732827556415304 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.257 y[1] (analytic) = 2.7393909215634044649129321732821 y[1] (numeric) = 2.7393909215634044649129321732821 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.258 y[1] (analytic) = 2.7399343431874823596841936608755 y[1] (numeric) = 2.7399343431874823596841936608755 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.259 y[1] (analytic) = 2.7404777572711201578756881142039 y[1] (numeric) = 2.7404777572711201578756881142039 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.26 y[1] (analytic) = 2.7410211638169362951687831036709 y[1] (numeric) = 2.7410211638169362951687831036709 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.261 y[1] (analytic) = 2.7415645628275478435946208665734 y[1] (numeric) = 2.7415645628275478435946208665734 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.262 y[1] (analytic) = 2.7421079543055705124808510971432 y[1] (numeric) = 2.7421079543055705124808510971432 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.263 y[1] (analytic) = 2.7426513382536186493975422764542 y[1] (numeric) = 2.7426513382536186493975422764542 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.239 Order of pole = 5.740e-27 TOP MAIN SOLVE Loop x[1] = 4.264 y[1] (analytic) = 2.743194714674305241102272397364 y[1] (numeric) = 2.743194714674305241102272397364 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.265 y[1] (analytic) = 2.7437380835702419144843999386194 y[1] (numeric) = 2.7437380835702419144843999386194 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.266 y[1] (analytic) = 2.7442814449440389375085159412176 y[1] (numeric) = 2.7442814449440389375085159412176 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.267 y[1] (analytic) = 2.7448247987983052201570780390812 y[1] (numeric) = 2.7448247987983052201570780390812 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 26.19 Order of pole = 3.685e-26 TOP MAIN SOLVE Loop x[1] = 4.268 y[1] (analytic) = 2.745368145135648315372227295069 y[1] (numeric) = 2.745368145135648315372227295069 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.269 y[1] (analytic) = 2.7459114839586744199967886923129 y[1] (numeric) = 2.7459114839586744199967886923129 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.27 y[1] (analytic) = 2.74645481526998837571445612984 y[1] (numeric) = 2.74645481526998837571445612984 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.271 y[1] (analytic) = 2.7469981390721936699891627704089 y[1] (numeric) = 2.7469981390721936699891627704088 absolute error = 1e-31 relative error = 3.6403373769221147203555751684910e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.272 y[1] (analytic) = 2.7475414553678924370036375874602 y[1] (numeric) = 2.7475414553678924370036375874601 absolute error = 1e-31 relative error = 3.6396175134911703245622598055714e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.273 y[1] (analytic) = 2.7480847641596854585971489570559 y[1] (numeric) = 2.7480847641596854585971489570558 absolute error = 1e-31 relative error = 3.6388979446410266961189610867348e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.274 y[1] (analytic) = 2.7486280654501721652024361396546 y[1] (numeric) = 2.7486280654501721652024361396545 absolute error = 1e-31 relative error = 3.6381786701876644160105013364857e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.275 y[1] (analytic) = 2.7491713592419506367818294955471 y[1] (numeric) = 2.749171359241950636781829495547 absolute error = 1e-31 relative error = 3.6374596899472188600481612670241e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.276 y[1] (analytic) = 2.7497146455376176037625602767534 y[1] (numeric) = 2.7497146455376176037625602767533 absolute error = 1e-31 relative error = 3.6367410037359800351452156383158e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.277 y[1] (analytic) = 2.7502579243397684479712608371608 y[1] (numeric) = 2.7502579243397684479712608371608 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.278 y[1] (analytic) = 2.7508011956509972035676561016635 y[1] (numeric) = 2.7508011956509972035676561016635 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.42 Order of pole = 4.280e-27 TOP MAIN SOLVE Loop x[1] = 4.279 y[1] (analytic) = 2.7513444594738965579774471340442 y[1] (numeric) = 2.7513444594738965579774471340442 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.28 y[1] (analytic) = 2.7518877158110578528243876423235 y[1] (numeric) = 2.7518877158110578528243876423234 absolute error = 1e-31 relative error = 3.6338691955142951219001647763581e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.281 y[1] (analytic) = 2.7524309646650710848615542592843 y[1] (numeric) = 2.7524309646650710848615542592842 absolute error = 1e-31 relative error = 3.6331519766988407101025483548646e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.282 y[1] (analytic) = 2.7529742060385249069018114348673 y[1] (numeric) = 2.7529742060385249069018114348672 absolute error = 1e-31 relative error = 3.6324350508135711816547730056959e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.283 y[1] (analytic) = 2.7535174399340066287474717761176 y[1] (numeric) = 2.7535174399340066287474717761174 absolute error = 2e-31 relative error = 7.2634368353517087887573554053443e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.887 Order of pole = 3.271e-26 TOP MAIN SOLVE Loop x[1] = 4.284 y[1] (analytic) = 2.7540606663541022181191526693532 y[1] (numeric) = 2.7540606663541022181191526693531 absolute error = 1e-31 relative error = 3.6310020771032115348843598025013e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.285 y[1] (analytic) = 2.7546038853013963015838300182166 y[1] (numeric) = 2.7546038853013963015838300182165 absolute error = 1e-31 relative error = 3.6302860289133169567115735267376e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.286 y[1] (analytic) = 2.7551470967784721654820899302584 y[1] (numeric) = 2.7551470967784721654820899302583 absolute error = 1e-31 relative error = 3.6295702729239980186769073698136e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.287 y[1] (analytic) = 2.7556903007879117568545791836996 y[1] (numeric) = 2.7556903007879117568545791836995 absolute error = 1e-31 relative error = 3.6288548089532349234264345195840e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.288 y[1] (analytic) = 2.7562334973322956843676553050094 y[1] (numeric) = 2.7562334973322956843676553050093 absolute error = 1e-31 relative error = 3.6281396368191605561935308973144e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=507.3MB, alloc=4.5MB, time=59.65 TOP MAIN SOLVE Loop x[1] = 4.289 y[1] (analytic) = 2.7567766864142032192382370869329 y[1] (numeric) = 2.7567766864142032192382370869328 absolute error = 1e-31 relative error = 3.6274247563400603237615559435361e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.29 y[1] (analytic) = 2.7573198680362122961578563755988 y[1] (numeric) = 2.7573198680362122961578563755987 absolute error = 1e-31 relative error = 3.6267101673343719936310917946897e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.291 y[1] (analytic) = 2.7578630422008995142159119543366 y[1] (numeric) = 2.7578630422008995142159119543365 absolute error = 1e-31 relative error = 3.6259958696206855333914370129801e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.292 y[1] (analytic) = 2.7584062089108401378221263508322 y[1] (numeric) = 2.7584062089108401378221263508322 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.293 y[1] (analytic) = 2.7589493681686080976282063932508 y[1] (numeric) = 2.7589493681686080976282063932508 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.294 y[1] (analytic) = 2.7594925199767759914487083399595 y[1] (numeric) = 2.7594925199767759914487083399595 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.295 y[1] (analytic) = 2.7600356643379150851811084064862 y[1] (numeric) = 2.7600356643379150851811084064862 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 18.4 Order of pole = 3.318e-26 TOP MAIN SOLVE Loop x[1] = 4.296 y[1] (analytic) = 2.760578801254595313725079512355 y[1] (numeric) = 2.760578801254595313725079512355 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.297 y[1] (analytic) = 2.7611219307293852819009750694464 y[1] (numeric) = 2.7611219307293852819009750694465 absolute error = 1e-31 relative error = 3.6217161903307810515815423564595e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.298 y[1] (analytic) = 2.7616650527648522653675206325379 y[1] (numeric) = 2.761665052764852265367520632538 absolute error = 1e-31 relative error = 3.6210039265943779426295186505440e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.299 y[1] (analytic) = 2.7622081673635622115387142316892 y[1] (numeric) = 2.7622081673635622115387142316893 absolute error = 1e-31 relative error = 3.6202919527041564392199795629218e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.3 y[1] (analytic) = 2.7627512745280797404999362051485 y[1] (numeric) = 2.7627512745280797404999362051486 absolute error = 1e-31 relative error = 3.6195802684800691150101540711149e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.301 y[1] (analytic) = 2.7632943742609681459232693504672 y[1] (numeric) = 2.7632943742609681459232693504673 absolute error = 1e-31 relative error = 3.6188688737422191486284490752967e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.302 y[1] (analytic) = 2.7638374665647893959820302105238 y[1] (numeric) = 2.7638374665647893959820302105239 absolute error = 1e-31 relative error = 3.6181577683108601652728369521290e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.303 y[1] (analytic) = 2.7643805514421041342645123101727 y[1] (numeric) = 2.7643805514421041342645123101728 absolute error = 1e-31 relative error = 3.6174469520063960785098916176852e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.304 y[1] (analytic) = 2.7649236288954716806869421582501 y[1] (numeric) = 2.7649236288954716806869421582502 absolute error = 1e-31 relative error = 3.6167364246493809322741759000390e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.305 y[1] (analytic) = 2.7654666989274500324056488286862 y[1] (numeric) = 2.7654666989274500324056488286863 absolute error = 1e-31 relative error = 3.6160261860605187430676835259186e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.306 y[1] (analytic) = 2.7660097615405958647284479334916 y[1] (numeric) = 2.7660097615405958647284479334917 absolute error = 1e-31 relative error = 3.6153162360606633423590395286921e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.307 y[1] (analytic) = 2.7665528167374645320252407994065 y[1] (numeric) = 2.7665528167374645320252407994066 absolute error = 1e-31 relative error = 3.6146065744708182191821633868472e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.057 Order of pole = 1.260e-26 TOP MAIN SOLVE Loop x[1] = 4.308 y[1] (analytic) = 2.7670958645206100686378296590226 y[1] (numeric) = 2.7670958645206100686378296590228 absolute error = 2e-31 relative error = 7.2277944022242727258681994061479e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.309 y[1] (analytic) = 2.76763890489258518978894966621 y[1] (numeric) = 2.7676389048925851897889496662102 absolute error = 2e-31 relative error = 7.2263762316118402127434434680979e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.31 y[1] (analytic) = 2.768181937855941292490518544706 y[1] (numeric) = 2.7681819378559412924905185447062 absolute error = 2e-31 relative error = 7.2249586367472419376140271601027e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.311 y[1] (analytic) = 2.7687249634132284564511046777492 y[1] (numeric) = 2.7687249634132284564511046777495 absolute error = 3e-31 relative error = 1.0835312425910518498501912024875e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.312 y[1] (analytic) = 2.7692679815669954449826144456673 y[1] (numeric) = 2.7692679815669954449826144456676 absolute error = 3e-31 relative error = 1.0833187759251975363760476142912e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 32.91 Order of pole = 1.197e-25 TOP MAIN SOLVE Loop x[1] = 4.313 y[1] (analytic) = 2.769810992319789705906199617356 y[1] (numeric) = 2.7698109923197897059061996173562 absolute error = 2e-31 relative error = 7.2207093030739519483919433105330e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.314 y[1] (analytic) = 2.7703539956741573724573856006173 y[1] (numeric) = 2.7703539956741573724573856006176 absolute error = 3e-31 relative error = 1.0828941011453516279323889753085e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.315 y[1] (analytic) = 2.7708969916326432641904213553549 y[1] (numeric) = 2.7708969916326432641904213553552 absolute error = 3e-31 relative error = 1.0826818929246325754807881228733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.316 y[1] (analytic) = 2.7714399801977908878818517726557 y[1] (numeric) = 2.771439980197790887881851772656 absolute error = 3e-31 relative error = 1.0824697707456386419521001481145e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.317 y[1] (analytic) = 2.7719829613721424384333133218238 y[1] (numeric) = 2.7719829613721424384333133218241 absolute error = 3e-31 relative error = 1.0822577345551172627317405514317e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.318 y[1] (analytic) = 2.7725259351582387997735537664636 y[1] (numeric) = 2.7725259351582387997735537664638 absolute error = 2e-31 relative error = 7.2136385619990683664962878347341e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 27.2 Order of pole = 1.644e-25 TOP MAIN SOLVE Loop x[1] = 4.319 y[1] (analytic) = 2.7730689015586195457596767497476 y[1] (numeric) = 2.7730689015586195457596767497479 absolute error = 3e-31 relative error = 1.0818339199267037710950602269166e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.32 memory used=511.1MB, alloc=4.5MB, time=60.09 y[1] (analytic) = 2.7736118605758229410776120480435 y[1] (numeric) = 2.7736118605758229410776120480438 absolute error = 3e-31 relative error = 1.0816221413825282523180614991071e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.321 y[1] (analytic) = 2.774154812212385942141812291108 y[1] (numeric) = 2.7741548122123859421418122911083 absolute error = 3e-31 relative error = 1.0814104486142583822856461571910e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.58 Order of pole = 1.246e-26 TOP MAIN SOLVE Loop x[1] = 4.322 y[1] (analytic) = 2.7746977564708441979941769461034 y[1] (numeric) = 2.7746977564708441979941769461037 absolute error = 3e-31 relative error = 1.0811988415688630407243806121223e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.323 y[1] (analytic) = 2.7752406933537320512022043617269 y[1] (numeric) = 2.7752406933537320512022043617272 absolute error = 3e-31 relative error = 1.0809873201933552571702761412323e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.324 y[1] (analytic) = 2.7757836228635825387563726677906 y[1] (numeric) = 2.7757836228635825387563726677909 absolute error = 3e-31 relative error = 1.0807758844347921647522200661890e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.325 y[1] (analytic) = 2.7763265450029273929667503246316 y[1] (numeric) = 2.7763265450029273929667503246318 absolute error = 2e-31 relative error = 7.2037635616018330268911629503812e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.326 y[1] (analytic) = 2.7768694597742970423588371157772 y[1] (numeric) = 2.7768694597742970423588371157775 absolute error = 3e-31 relative error = 1.0803532695569488269125563606510e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.327 y[1] (analytic) = 2.7774123671802206125686363763398 y[1] (numeric) = 2.7774123671802206125686363763401 absolute error = 3e-31 relative error = 1.0801420903320029505792141023049e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.328 y[1] (analytic) = 2.777955267223225927236959248659 y[1] (numeric) = 2.7779552672232259272369592486593 absolute error = 3e-31 relative error = 1.0799309965126704115324135428575e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.329 y[1] (analytic) = 2.7784981599058395089029617557633 y[1] (numeric) = 2.7784981599058395089029617557636 absolute error = 3e-31 relative error = 1.0797199880462281696532493320276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.33 y[1] (analytic) = 2.7790410452305865798969154822709 y[1] (numeric) = 2.7790410452305865798969154822712 absolute error = 3e-31 relative error = 1.0795090648799970123368955314772e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.331 y[1] (analytic) = 2.779583923199991063232212651402 y[1] (numeric) = 2.7795839231999910632322126514022 absolute error = 2e-31 relative error = 7.1953215130756100578807368713183e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.332 y[1] (analytic) = 2.7801267938165755834966063858287 y[1] (numeric) = 2.780126793816575583496606385829 absolute error = 3e-31 relative error = 1.0790874742376699637384112064217e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.333 y[1] (analytic) = 2.7806696570828614677426869391438 y[1] (numeric) = 2.7806696570828614677426869391442 absolute error = 4e-31 relative error = 1.4385024088752458304144419120792e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 26.37 Order of pole = 1.566e-25 TOP MAIN SOLVE Loop x[1] = 4.334 y[1] (analytic) = 2.7812125130013687463775946837832 y[1] (numeric) = 2.7812125130013687463775946837836 absolute error = 4e-31 relative error = 1.4382216322201738344295736035747e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.335 y[1] (analytic) = 2.7817553615746161540519706402965 y[1] (numeric) = 2.7817553615746161540519706402969 absolute error = 4e-31 relative error = 1.4379409689483962823102863037589e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.336 y[1] (analytic) = 2.782298202805121130548145331918 y[1] (numeric) = 2.7822982028051211305481453319183 absolute error = 3e-31 relative error = 1.0782453142425176730171440988449e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.337 y[1] (analytic) = 2.7828410366953998216675667474491 y[1] (numeric) = 2.7828410366953998216675667474495 absolute error = 4e-31 relative error = 1.4373799822752240802651721865125e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.338 y[1] (analytic) = 2.7833838632479670801174681945261 y[1] (numeric) = 2.7833838632479670801174681945265 absolute error = 4e-31 relative error = 1.4370996587342241819219257402434e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.339 y[1] (analytic) = 2.7839266824653364663967768244066 y[1] (numeric) = 2.783926682465336466396776824407 absolute error = 4e-31 relative error = 1.4368194482973081095959567619915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.34 y[1] (analytic) = 2.7844694943500202496812636084756 y[1] (numeric) = 2.784469494350020249681263608476 absolute error = 4e-31 relative error = 1.4365393508948179332155525753081e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.341 y[1] (analytic) = 2.7850122989045294087079355457338 y[1] (numeric) = 2.7850122989045294087079355457341 absolute error = 3e-31 relative error = 1.0771945248428651187882322332469e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 47.46 Order of pole = 1.299e-25 TOP MAIN SOLVE Loop x[1] = 4.342 y[1] (analytic) = 2.7855550961313736326586708795974 y[1] (numeric) = 2.7855550961313736326586708795978 absolute error = 4e-31 relative error = 1.4359794949147723328067616693038e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.343 y[1] (analytic) = 2.7860978860330613220430981014092 y[1] (numeric) = 2.7860978860330613220430981014096 absolute error = 4e-31 relative error = 1.4356997361981896527896653603965e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.344 y[1] (analytic) = 2.7866406686120995895807195171236 y[1] (numeric) = 2.786640668612099589580719517124 absolute error = 4e-31 relative error = 1.4354200902379782364854994456658e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.345 y[1] (analytic) = 2.7871834438709942610822801527048 y[1] (numeric) = 2.7871834438709942610822801527052 absolute error = 4e-31 relative error = 1.4351405569647683972113993225435e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.346 y[1] (analytic) = 2.787726211812249876330382772844 y[1] (numeric) = 2.7877262118122498763303827728444 absolute error = 4e-31 relative error = 1.4348611363092479168434166152161e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.347 y[1] (analytic) = 2.7882689724383696899593497866762 y[1] (numeric) = 2.7882689724383696899593497866765 absolute error = 3e-31 relative error = 1.0759363711516214894644948147693e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.348 y[1] (analytic) = 2.7888117257518556723343328132496 y[1] (numeric) = 2.78881172575185567233433281325 absolute error = 4e-31 relative error = 1.4343026325743131440165385373827e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.349 y[1] (analytic) = 2.7893544717552085104296706785784 y[1] (numeric) = 2.7893544717552085104296706785788 absolute error = 4e-31 relative error = 1.4340235493565612197050025166892e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.35 y[1] (analytic) = 2.7898972104509276087064966151815 y[1] (numeric) = 2.7898972104509276087064966151819 absolute error = 4e-31 relative error = 1.4337445784798232712416631737860e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.351 y[1] (analytic) = 2.790439941841511089989595434093 y[1] (numeric) = 2.7904399418415110899895954340935 absolute error = 5e-31 relative error = 1.7918321498438419085496126438387e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.447 Order of pole = 1.051e-26 memory used=515.0MB, alloc=4.5MB, time=60.54 TOP MAIN SOLVE Loop x[1] = 4.352 y[1] (analytic) = 2.7909826659294557963435114384044 y[1] (numeric) = 2.7909826659294557963435114384048 absolute error = 4e-31 relative error = 1.4331869734733433252123716347494e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.273 Order of pole = 1.024e-26 TOP MAIN SOLVE Loop x[1] = 4.353 y[1] (analytic) = 2.7915253827172572899479078464805 y[1] (numeric) = 2.7915253827172572899479078464809 absolute error = 4e-31 relative error = 1.4329083392057210561582302116246e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.354 y[1] (analytic) = 2.792068092207409853972178492074 y[1] (numeric) = 2.7920680922074098539721784920744 absolute error = 4e-31 relative error = 1.4326298170033521012205836794413e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.355 y[1] (analytic) = 2.7926107944024064934493125676428 y[1] (numeric) = 2.7926107944024064934493125676431 absolute error = 3e-31 relative error = 1.0742635550980790808160822462917e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.377 Order of pole = 3.632e-27 TOP MAIN SOLVE Loop x[1] = 4.356 y[1] (analytic) = 2.793153489304738936149013176261 y[1] (numeric) = 2.7931534893047389361490131762613 absolute error = 3e-31 relative error = 1.0740548313894301973022282837118e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 35.14 Order of pole = 1.456e-25 TOP MAIN SOLVE Loop x[1] = 4.357 y[1] (analytic) = 2.7936961769168976334500704565993 y[1] (numeric) = 2.7936961769168976334500704565996 absolute error = 3e-31 relative error = 1.0738461915750544264822953348785e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.358 y[1] (analytic) = 2.7942388572413717612119900445346 y[1] (numeric) = 2.7942388572413717612119900445348 absolute error = 2e-31 relative error = 7.1575842373565422387246090800930e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.359 y[1] (analytic) = 2.7947815302806492206458776340396 y[1] (numeric) = 2.7947815302806492206458776340398 absolute error = 2e-31 relative error = 7.1561944228218867656695374531643e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.36 y[1] (analytic) = 2.79532419603721663918458039909 y[1] (numeric) = 2.7953241960372166391845803990903 absolute error = 3e-31 relative error = 1.0732207749830740311210969046810e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.361 y[1] (analytic) = 2.7958668545135593713520860374174 y[1] (numeric) = 2.7958668545135593713520860374176 absolute error = 2e-31 relative error = 7.1534164682100759064138087397460e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.362 y[1] (analytic) = 2.7964095057121614996321801960268 y[1] (numeric) = 2.796409505712161499632180196027 absolute error = 2e-31 relative error = 7.1520283274486298032062905192481e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.939 Order of pole = 1.18e-28 TOP MAIN SOLVE Loop x[1] = 4.363 y[1] (analytic) = 2.7969521496355058353363630374932 y[1] (numeric) = 2.7969521496355058353363630374935 absolute error = 3e-31 relative error = 1.0725961115891650215450263750410e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.364 y[1] (analytic) = 2.7974947862860739194710257051412 y[1] (numeric) = 2.7974947862860739194710257051414 absolute error = 2e-31 relative error = 7.1492537173060471855326127087939e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.365 y[1] (analytic) = 2.7980374156663460236038874443093 y[1] (numeric) = 2.7980374156663460236038874443095 absolute error = 2e-31 relative error = 7.1478672472423129061523359913558e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.366 y[1] (analytic) = 2.798580037778801150729694135998 y[1] (numeric) = 2.7985800377788011507296941359982 absolute error = 2e-31 relative error = 7.1464813333956873765419344139024e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.367 y[1] (analytic) = 2.7991226526259170361351789982948 y[1] (numeric) = 2.7991226526259170361351789982951 absolute error = 3e-31 relative error = 1.0717643963138362704457990425750e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.368 y[1] (analytic) = 2.7996652602101701482632862100718 y[1] (numeric) = 2.7996652602101701482632862100721 absolute error = 3e-31 relative error = 1.0715566759487492353079872258417e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.369 y[1] (analytic) = 2.8002078605340356895766582105482 y[1] (numeric) = 2.8002078605340356895766582105484 absolute error = 2e-31 relative error = 7.1423269257539126095528765392995e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.195 Order of pole = 2.939e-27 TOP MAIN SOLVE Loop x[1] = 4.37 y[1] (analytic) = 2.8007504535999875974203874274148 y[1] (numeric) = 2.800750453599987597420387427415 absolute error = 2e-31 relative error = 7.1409432333725744562410737887699e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.371 y[1] (analytic) = 2.8012930394104985448840331853172 y[1] (numeric) = 2.8012930394104985448840331853174 absolute error = 2e-31 relative error = 7.1395600955081732774340378020402e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.372 y[1] (analytic) = 2.801835617968039941662904545599 y[1] (numeric) = 2.8018356179680399416629045455992 absolute error = 2e-31 relative error = 7.1381775118215149228995055535504e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.373 y[1] (analytic) = 2.802378189275081934918609827312 y[1] (numeric) = 2.8023781892750819349186098273121 absolute error = 1e-31 relative error = 3.5683977409868423168954884819391e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.374 y[1] (analytic) = 2.8029207533340934101388735586052 y[1] (numeric) = 2.8029207533340934101388735586053 absolute error = 1e-31 relative error = 3.5677070028130233766383823482104e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.919 Order of pole = 3.10e-28 TOP MAIN SOLVE Loop x[1] = 4.375 y[1] (analytic) = 2.803463310147541991996621606714 y[1] (numeric) = 2.8034633101475419919966216067141 absolute error = 1e-31 relative error = 3.5670165412201222187650045764622e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.376 y[1] (analytic) = 2.8040058597178940452083352338757 y[1] (numeric) = 2.8040058597178940452083352338758 absolute error = 1e-31 relative error = 3.5663263560390996835395660685612e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.377 y[1] (analytic) = 2.8045484020476146753916748256121 y[1] (numeric) = 2.8045484020476146753916748256122 absolute error = 1e-31 relative error = 3.5656364471010557292591017673868e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.378 y[1] (analytic) = 2.8050909371391677299223740369263 y[1] (numeric) = 2.8050909371391677299223740369264 absolute error = 1e-31 relative error = 3.5649468142372292882883481178996e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.379 y[1] (analytic) = 2.805633464995015798790405101077 y[1] (numeric) = 2.8056334649950157987904051010771 absolute error = 1e-31 relative error = 3.5642574572789981232740526999734e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.38 y[1] (analytic) = 2.8061759856176202154554160447037 y[1] (numeric) = 2.8061759856176202154554160447038 absolute error = 1e-31 relative error = 3.5635683760578786835384545207608e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.381 y[1] (analytic) = 2.8067184990094410577014405521935 y[1] (numeric) = 2.8067184990094410577014405521936 absolute error = 1e-31 relative error = 3.5628795704055259616516738905838e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.382 y[1] (analytic) = 2.8072610051729371484908812212944 y[1] (numeric) = 2.8072610051729371484908812212945 absolute error = 1e-31 relative error = 3.5621910401537333501827512417543e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=518.8MB, alloc=4.5MB, time=60.99 x[1] = 4.383 y[1] (analytic) = 2.807803504110566056817766951097 y[1] (numeric) = 2.8078035041105660568177669510972 absolute error = 2e-31 relative error = 7.1230055702688649972581493686358e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.384 y[1] (analytic) = 2.8083459958247840985602852026268 y[1] (numeric) = 2.808345995824784098560285202627 absolute error = 2e-31 relative error = 7.1216296103593863410478730529755e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.385 y[1] (analytic) = 2.8088884803180463373325898714049 y[1] (numeric) = 2.8088884803180463373325898714051 absolute error = 2e-31 relative error = 7.1202542002434462014439188410018e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.386 y[1] (analytic) = 2.80943095759280658533588551046 y[1] (numeric) = 2.8094309575928065853358855104602 absolute error = 2e-31 relative error = 7.1188793395857357057242664535419e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.387 y[1] (analytic) = 2.809973427651517404208788641393 y[1] (numeric) = 2.8099734276515174042087886413932 absolute error = 2e-31 relative error = 7.1175050280512213540164082411044e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.388 y[1] (analytic) = 2.8105158904966301058769668902202 y[1] (numeric) = 2.8105158904966301058769668902204 absolute error = 2e-31 relative error = 7.1161312653051447349323157917164e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.389 y[1] (analytic) = 2.8110583461305947534020566838444 y[1] (numeric) = 2.8110583461305947534020566838446 absolute error = 2e-31 relative error = 7.1147580510130222415570797021923e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.39 y[1] (analytic) = 2.8116007945558601618298602421299 y[1] (numeric) = 2.8116007945558601618298602421302 absolute error = 3e-31 relative error = 1.0670078077260967181686062209382e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.391 y[1] (analytic) = 2.8121432357748738990378225996827 y[1] (numeric) = 2.812143235774873899037822599683 absolute error = 3e-31 relative error = 1.0668019899681116287563856013725e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.392 y[1] (analytic) = 2.8126856697900822865817893905648 y[1] (numeric) = 2.8126856697900822865817893905651 absolute error = 3e-31 relative error = 1.0665962543279489338916962099526e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.393 y[1] (analytic) = 2.8132280966039304005420461283024 y[1] (numeric) = 2.8132280966039304005420461283027 absolute error = 3e-31 relative error = 1.0663906007556005502624544245424e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.219 Order of pole = 1.010e-26 TOP MAIN SOLVE Loop x[1] = 4.394 y[1] (analytic) = 2.8137705162188620723686397126759 y[1] (numeric) = 2.8137705162188620723686397126762 absolute error = 3e-31 relative error = 1.0661850292010994030120929510638e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.395 y[1] (analytic) = 2.8143129286373198897259828939114 y[1] (numeric) = 2.8143129286373198897259828939118 absolute error = 4e-31 relative error = 1.4213060528193591779393957963956e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 21.01 Order of pole = 5.365e-26 TOP MAIN SOLVE Loop x[1] = 4.396 y[1] (analytic) = 2.8148553338617451973367424240271 y[1] (numeric) = 2.8148553338617451973367424240275 absolute error = 4e-31 relative error = 1.4210321759279670757890041572954e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.397 y[1] (analytic) = 2.8153977318945780978250116242192 y[1] (numeric) = 2.8153977318945780978250116242196 absolute error = 4e-31 relative error = 1.4207584081941638269114501588863e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.398 y[1] (analytic) = 2.8159401227382574525587680963104 y[1] (numeric) = 2.8159401227382574525587680963108 absolute error = 4e-31 relative error = 1.4204847495515448134935508490125e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.14 Order of pole = 4.3e-29 TOP MAIN SOLVE Loop x[1] = 4.399 y[1] (analytic) = 2.816482506395220882491617305416 y[1] (numeric) = 2.8164825063952208824916173054164 absolute error = 4e-31 relative error = 1.4202111999337598144618835070155e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.4 y[1] (analytic) = 2.8170248828679047690038227601234 y[1] (numeric) = 2.8170248828679047690038227601238 absolute error = 4e-31 relative error = 1.4199377592745129494518423460537e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.401 y[1] (analytic) = 2.817567252158744254742623515616 y[1] (numeric) = 2.8175672521587442547426235156164 absolute error = 4e-31 relative error = 1.4196644275075626228462065841498e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.402 y[1] (analytic) = 2.8181096142701732444618397243155 y[1] (numeric) = 2.8181096142701732444618397243159 absolute error = 4e-31 relative error = 1.4193912045667214678831190432058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.403 y[1] (analytic) = 2.8186519692046244058607669577538 y[1] (numeric) = 2.8186519692046244058607669577542 absolute error = 4e-31 relative error = 1.4191180903858562908333746026656e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.404 y[1] (analytic) = 2.81919431696452917042236002253 y[1] (numeric) = 2.8191943169645291704223600225304 absolute error = 4e-31 relative error = 1.4188450848988880152469180016276e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.405 y[1] (analytic) = 2.8197366575523177342507069923502 y[1] (numeric) = 2.8197366575523177342507069923506 absolute error = 4e-31 relative error = 1.4185721880397916262684506500183e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.406 y[1] (analytic) = 2.8202789909704190589077941772916 y[1] (numeric) = 2.8202789909704190589077941772919 absolute error = 3e-31 relative error = 1.0637245498069470862665347069555e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.407 y[1] (analytic) = 2.8208213172212608722495627505785 y[1] (numeric) = 2.8208213172212608722495627505789 absolute error = 4e-31 relative error = 1.4180267199413844230646754024949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.408 y[1] (analytic) = 2.8213636363072696692612577523047 y[1] (numeric) = 2.8213636363072696692612577523051 absolute error = 4e-31 relative error = 1.4177541485702933869085388132491e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.409 y[1] (analytic) = 2.8219059482308707128920701886814 y[1] (numeric) = 2.8219059482308707128920701886818 absolute error = 4e-31 relative error = 1.4174816855635136826121103311061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.41 y[1] (analytic) = 2.8224482529944880348890729445437 y[1] (numeric) = 2.8224482529944880348890729445441 absolute error = 4e-31 relative error = 1.4172093308552897704397894005664e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.411 y[1] (analytic) = 2.8229905506005444366304512259941 y[1] (numeric) = 2.8229905506005444366304512259945 absolute error = 4e-31 relative error = 1.4169370843799198395900641283423e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.412 y[1] (analytic) = 2.823532841051461489958028249215 y[1] (numeric) = 2.8235328410514614899580282492154 absolute error = 4e-31 relative error = 1.4166649460717557529920856019175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.413 y[1] (analytic) = 2.8240751243496595380090868906334 y[1] (numeric) = 2.8240751243496595380090868906338 absolute error = 4e-31 relative error = 1.4163929158652029921705544699812e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.414 y[1] (analytic) = 2.8246174004975576960474880127754 y[1] (numeric) = 2.8246174004975576960474880127757 absolute error = 3e-31 relative error = 1.0620907452710404516341156995217e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=522.6MB, alloc=4.5MB, time=61.45 TOP MAIN SOLVE Loop x[1] = 4.415 y[1] (analytic) = 2.8251596694975738522940861793013 y[1] (numeric) = 2.8251596694975738522940861793016 absolute error = 3e-31 relative error = 1.0618868846211158524500745901062e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.416 y[1] (analytic) = 2.8257019313521246687564434718698 y[1] (numeric) = 2.8257019313521246687564434718701 absolute error = 3e-31 relative error = 1.0616831049000529519625247505313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.417 y[1] (analytic) = 2.8262441860636255820578421206337 y[1] (numeric) = 2.826244186063625582057842120634 absolute error = 3e-31 relative error = 1.0614794060588163046103813432250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.418 y[1] (analytic) = 2.8267864336344908042655966593309 y[1] (numeric) = 2.8267864336344908042655966593312 absolute error = 3e-31 relative error = 1.0612757880484104727884687510328e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.419 y[1] (analytic) = 2.8273286740671333237186663150909 y[1] (numeric) = 2.8273286740671333237186663150912 absolute error = 3e-31 relative error = 1.0610722508198799858020380610160e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.42 y[1] (analytic) = 2.8278709073639649058545683422384 y[1] (numeric) = 2.8278709073639649058545683422387 absolute error = 3e-31 relative error = 1.0608687943243092988720023420600e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.421 y[1] (analytic) = 2.8284131335273960940355930085374 y[1] (numeric) = 2.8284131335273960940355930085378 absolute error = 4e-31 relative error = 1.4142205580170970029210885760107e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.422 y[1] (analytic) = 2.8289553525598362103743209414809 y[1] (numeric) = 2.8289553525598362103743209414813 absolute error = 4e-31 relative error = 1.4139494977821127067052374283173e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.423 y[1] (analytic) = 2.8294975644636933565584435413946 y[1] (numeric) = 2.829497564463693356558443541395 absolute error = 4e-31 relative error = 1.4136785449957314931889697874245e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.424 y[1] (analytic) = 2.8300397692413744146748871672901 y[1] (numeric) = 2.8300397692413744146748871672905 absolute error = 4e-31 relative error = 1.4134076995929450289692286428410e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.425 y[1] (analytic) = 2.8305819668952850480332418005654 y[1] (numeric) = 2.8305819668952850480332418005657 absolute error = 3e-31 relative error = 1.0598527211315984571822623023665e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.426 y[1] (analytic) = 2.831124157427829701988494890821 y[1] (numeric) = 2.8311241574278297019884948908213 absolute error = 3e-31 relative error = 1.0596497480087908289135534766051e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.427 y[1] (analytic) = 2.8316663408414116047630710872261 y[1] (numeric) = 2.8316663408414116047630710872264 absolute error = 3e-31 relative error = 1.0594468552776486799428651947552e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.428 y[1] (analytic) = 2.8322085171384327682681785580388 y[1] (numeric) = 2.8322085171384327682681785580391 absolute error = 3e-31 relative error = 1.0592440428895744030668837074923e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.429 y[1] (analytic) = 2.8327506863212939889244626000554 y[1] (numeric) = 2.8327506863212939889244626000557 absolute error = 3e-31 relative error = 1.0590413107960099503153234519527e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.43 y[1] (analytic) = 2.8332928483923948484819672389349 y[1] (numeric) = 2.8332928483923948484819672389352 absolute error = 3e-31 relative error = 1.0588386589484367924593295553522e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.431 y[1] (analytic) = 2.8338350033541337148394055205175 y[1] (numeric) = 2.8338350033541337148394055205178 absolute error = 3e-31 relative error = 1.0586360872983758785697986341291e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.432 y[1] (analytic) = 2.8343771512089077428627391924298 y[1] (numeric) = 2.8343771512089077428627391924301 absolute error = 3e-31 relative error = 1.0584335957973875956255459251761e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.433 y[1] (analytic) = 2.8349192919591128752030684744442 y[1] (numeric) = 2.8349192919591128752030684744445 absolute error = 3e-31 relative error = 1.0582311843970717281712469044635e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.434 y[1] (analytic) = 2.8354614256071438431138326152354 y[1] (numeric) = 2.8354614256071438431138326152357 absolute error = 3e-31 relative error = 1.0580288530490674180250816668815e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.435 y[1] (analytic) = 2.8360035521553941672673219323559 y[1] (numeric) = 2.8360035521553941672673219323562 absolute error = 3e-31 relative error = 1.0578266017050531240360104594236e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.436 y[1] (analytic) = 2.8365456716062561585705020314275 y[1] (numeric) = 2.8365456716062561585705020314278 absolute error = 3e-31 relative error = 1.0576244303167465818906088779208e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.437 y[1] (analytic) = 2.8370877839621209189801508997286 y[1] (numeric) = 2.8370877839621209189801508997289 absolute error = 3e-31 relative error = 1.0574223388359047639693913553912e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.438 y[1] (analytic) = 2.8376298892253783423173095685346 y[1] (numeric) = 2.8376298892253783423173095685349 absolute error = 3e-31 relative error = 1.0572203272143238392525516877172e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.987 Order of pole = 7.23e-28 TOP MAIN SOLVE Loop x[1] = 4.439 y[1] (analytic) = 2.8381719873984171150810470377524 y[1] (numeric) = 2.8381719873984171150810470377526 absolute error = 2e-31 relative error = 7.0467893026922608885003297318951e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.435 Order of pole = 1.537e-27 TOP MAIN SOLVE Loop x[1] = 4.44 y[1] (analytic) = 2.8387140784836247172615401555701 y[1] (numeric) = 2.8387140784836247172615401555703 absolute error = 2e-31 relative error = 7.0454436223755005875398090161447e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.441 y[1] (analytic) = 2.839256162483387423152469145031 y[1] (numeric) = 2.8392561624833874231524691450312 absolute error = 2e-31 relative error = 7.0440984734913014835139761831749e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.335 Order of pole = 6.643e-27 TOP MAIN SOLVE Loop x[1] = 4.442 y[1] (analytic) = 2.8397982394000903021627294686199 y[1] (numeric) = 2.8397982394000903021627294686201 absolute error = 2e-31 relative error = 7.0427538557193472792372973674645e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.376 Order of pole = 1.573e-27 TOP MAIN SOLVE Loop x[1] = 4.443 y[1] (analytic) = 2.8403403092361172196274607211415 y[1] (numeric) = 2.8403403092361172196274607211417 absolute error = 2e-31 relative error = 7.0414097687395816566385844269849e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.444 y[1] (analytic) = 2.8408823719938508376183932403535 y[1] (numeric) = 2.8408823719938508376183932403537 absolute error = 2e-31 relative error = 7.0400662122322080114326814104455e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.445 y[1] (analytic) = 2.8414244276756726157535131240076 y[1] (numeric) = 2.8414244276756726157535131240078 absolute error = 2e-31 relative error = 7.0387231858776891881182945779228e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=526.4MB, alloc=4.5MB, time=61.90 x[1] = 4.446 y[1] (analytic) = 2.8419664762839628120060463411391 y[1] (numeric) = 2.8419664762839628120060463411393 absolute error = 2e-31 relative error = 7.0373806893567472153014971683981e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.447 y[1] (analytic) = 2.8425085178211004835127626246375 y[1] (numeric) = 2.8425085178211004835127626246377 absolute error = 2e-31 relative error = 7.0360387223503630413444408790151e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 15.42 Order of pole = 4.812e-26 TOP MAIN SOLVE Loop x[1] = 4.448 y[1] (analytic) = 2.8430505522894634873815998313214 y[1] (numeric) = 2.8430505522894634873815998313215 absolute error = 1e-31 relative error = 3.5173486422698881351694033953657e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.449 y[1] (analytic) = 2.8435925796914284814986094549322 y[1] (numeric) = 2.8435925796914284814986094549324 absolute error = 2e-31 relative error = 7.0333563756064848984035292434776e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.45 y[1] (analytic) = 2.844134600029370925334223976658 y[1] (numeric) = 2.8441346000293709253342239766582 absolute error = 2e-31 relative error = 7.0320159952322450503063269309394e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.084 Order of pole = 6.072e-27 TOP MAIN SOLVE Loop x[1] = 4.451 y[1] (analytic) = 2.8446766133056650807488467369887 y[1] (numeric) = 2.8446766133056650807488467369889 absolute error = 2e-31 relative error = 7.0306761430990707164085762506880e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.452 y[1] (analytic) = 2.8452186195226840127977650119048 y[1] (numeric) = 2.8452186195226840127977650119049 absolute error = 1e-31 relative error = 3.5146684094446167449665313547692e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.453 y[1] (analytic) = 2.8457606186827995905353869755937 y[1] (numeric) = 2.8457606186827995905353869755938 absolute error = 1e-31 relative error = 3.5139990111426311522770734733982e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.454 y[1] (analytic) = 2.8463026107883824878188032310903 y[1] (numeric) = 2.8463026107883824878188032310904 absolute error = 1e-31 relative error = 3.5133298764849715861549413496940e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.887 Order of pole = 6.00e-28 TOP MAIN SOLVE Loop x[1] = 4.455 y[1] (analytic) = 2.8468445958418021841106735894327 y[1] (numeric) = 2.8468445958418021841106735894328 absolute error = 1e-31 relative error = 3.5126610053131594609178123964090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.456 y[1] (analytic) = 2.847386573845426965281439777128 y[1] (numeric) = 2.8473865738454269652814397771282 absolute error = 2e-31 relative error = 7.0239847949376889369186660004346e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.457 y[1] (analytic) = 2.8479285448016239244108647509225 y[1] (numeric) = 2.8479285448016239244108647509226 absolute error = 1e-31 relative error = 3.5113240527938044476867211853042e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.238 Order of pole = 7.829e-27 TOP MAIN SOLVE Loop x[1] = 4.458 y[1] (analytic) = 2.8484705087127589625888992980712 y[1] (numeric) = 2.8484705087127589625888992980714 absolute error = 2e-31 relative error = 7.0213119422598905082368473771748e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.459 y[1] (analytic) = 2.8490124655811967897158765995094 y[1] (numeric) = 2.8490124655811967897158765995096 absolute error = 2e-31 relative error = 7.0199763046386012592831960028129e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.46 y[1] (analytic) = 2.8495544154093009253020354325275 y[1] (numeric) = 2.8495544154093009253020354325276 absolute error = 1e-31 relative error = 3.5093205962040320724291903089954e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.461 y[1] (analytic) = 2.8500963581994336992663726887606 y[1] (numeric) = 2.8500963581994336992663726887607 absolute error = 1e-31 relative error = 3.5086533026264287070163806348229e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.462 y[1] (analytic) = 2.8506382939539562527348258825086 y[1] (numeric) = 2.8506382939539562527348258825087 absolute error = 1e-31 relative error = 3.5079862714289071545361668719687e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.463 y[1] (analytic) = 2.8511802226752285388377863236097 y[1] (numeric) = 2.8511802226752285388377863236098 absolute error = 1e-31 relative error = 3.5073195024540114031138597580923e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.464 y[1] (analytic) = 2.8517221443656093235069436283 y[1] (numeric) = 2.8517221443656093235069436283002 absolute error = 2e-31 relative error = 7.0133059910888253568405224485011e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.465 y[1] (analytic) = 2.8522640590274561862714622407014 y[1] (numeric) = 2.8522640590274561862714622407015 absolute error = 1e-31 relative error = 3.5059867505429093143832989208210e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.466 y[1] (analytic) = 2.8528059666631255210534906367886 y[1] (numeric) = 2.8528059666631255210534906367888 absolute error = 2e-31 relative error = 7.0106415345848532481157801922352e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.467 y[1] (analytic) = 2.8533478672749725369630038819028 y[1] (numeric) = 2.8533478672749725369630038819029 absolute error = 1e-31 relative error = 3.5046550456360167706538083749033e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.468 y[1] (analytic) = 2.8538897608653512590919802120849 y[1] (numeric) = 2.853889760865351259091980212085 absolute error = 1e-31 relative error = 3.5039895854168586387213273549668e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.469 y[1] (analytic) = 2.8544316474366145293079123087234 y[1] (numeric) = 2.8544316474366145293079123087235 absolute error = 1e-31 relative error = 3.5033243864782577054944153101759e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.47 y[1] (analytic) = 2.8549735269911140070466539352201 y[1] (numeric) = 2.8549735269911140070466539352202 absolute error = 1e-31 relative error = 3.5026594486636459123912556580130e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.914 Order of pole = 5.289e-27 TOP MAIN SOLVE Loop x[1] = 4.471 y[1] (analytic) = 2.8555153995312001701046026035968 y[1] (numeric) = 2.8555153995312001701046026035969 absolute error = 1e-31 relative error = 3.5019947718165815366718682184864e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.472 y[1] (analytic) = 2.8560572650592223154302189381814 y[1] (numeric) = 2.8560572650592223154302189381815 absolute error = 1e-31 relative error = 3.5013303557807490632526066595355e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.053 Order of pole = 2.389e-27 TOP MAIN SOLVE Loop x[1] = 4.473 y[1] (analytic) = 2.8565991235775285599148834027314 y[1] (numeric) = 2.8565991235775285599148834027315 absolute error = 1e-31 relative error = 3.5006662003999590566773078915804e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.474 y[1] (analytic) = 2.8571409750884658411830910565696 y[1] (numeric) = 2.8571409750884658411830910565697 absolute error = 1e-31 relative error = 3.5000023055181480332448695407349e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.475 y[1] (analytic) = 2.8576828195943799183819850045298 y[1] (numeric) = 2.8576828195943799183819850045299 absolute error = 1e-31 relative error = 3.4993386709793783332930319963830e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.476 y[1] (analytic) = 2.858224657097615372970229204729 y[1] (numeric) = 2.8582246570976153729702292047291 absolute error = 1e-31 relative error = 3.4986752966278379936381418943315e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.477 y[1] (analytic) = 2.8587664876005156095062212974066 y[1] (numeric) = 2.8587664876005156095062212974067 absolute error = 1e-31 relative error = 3.4980121823078406201706742615915e-30 % Correct digits = 31 h = 0.001 memory used=530.2MB, alloc=4.5MB, time=62.34 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.478 y[1] (analytic) = 2.8593083111054228564356461172938 y[1] (numeric) = 2.8593083111054228564356461172939 absolute error = 1e-31 relative error = 3.4973493278638252606062909130047e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 11.46 Order of pole = 1.701e-26 TOP MAIN SOLVE Loop x[1] = 4.479 y[1] (analytic) = 2.8598501276146781668783705512002 y[1] (numeric) = 2.8598501276146781668783705512002 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.48 y[1] (analytic) = 2.8603919371306214194146804017308 y[1] (numeric) = 2.8603919371306214194146804017308 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.481 y[1] (analytic) = 2.8609337396555913188708599172735 y[1] (numeric) = 2.8609337396555913188708599172735 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.482 y[1] (analytic) = 2.8614755351919253971041146476223 y[1] (numeric) = 2.8614755351919253971041146476223 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.483 y[1] (analytic) = 2.8620173237419600137868382838326 y[1] (numeric) = 2.8620173237419600137868382838326 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.484 y[1] (analytic) = 2.8625591053080303571902241401336 y[1] (numeric) = 2.8625591053080303571902241401335 absolute error = 1e-31 relative error = 3.4933776498997157421841407833996e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.485 y[1] (analytic) = 2.8631008798924704449672219349518 y[1] (numeric) = 2.8631008798924704449672219349518 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.969 Order of pole = 1.268e-27 TOP MAIN SOLVE Loop x[1] = 4.486 y[1] (analytic) = 2.8636426474976131249348405273348 y[1] (numeric) = 2.8636426474976131249348405273348 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.487 y[1] (analytic) = 2.8641844081257900758557972642918 y[1] (numeric) = 2.8641844081257900758557972642918 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.488 y[1] (analytic) = 2.8647261617793318082195145938071 y[1] (numeric) = 2.8647261617793318082195145938071 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.489 y[1] (analytic) = 2.8652679084605676650224645975126 y[1] (numeric) = 2.8652679084605676650224645975126 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.49 y[1] (analytic) = 2.8658096481718258225478620962427 y[1] (numeric) = 2.8658096481718258225478620962428 absolute error = 1e-31 relative error = 3.4894152884087255846443033818264e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.491 y[1] (analytic) = 2.8663513809154332911447069809335 y[1] (numeric) = 2.8663513809154332911447069809336 absolute error = 1e-31 relative error = 3.4887557982532751436792878355736e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.492 y[1] (analytic) = 2.8668931066937159160061764205615 y[1] (numeric) = 2.8668931066937159160061764205616 absolute error = 1e-31 relative error = 3.4880965658090538851544379665536e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.752 Order of pole = 9.17e-28 TOP MAIN SOLVE Loop x[1] = 4.493 y[1] (analytic) = 2.8674348255089983779473675980612 y[1] (numeric) = 2.8674348255089983779473675980613 absolute error = 1e-31 relative error = 3.4874375909223673193785109754109e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.494 y[1] (analytic) = 2.8679765373636041941823916243962 y[1] (numeric) = 2.8679765373636041941823916243963 absolute error = 1e-31 relative error = 3.4867788734396443834752302346548e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.495 y[1] (analytic) = 2.8685182422598557191008192802014 y[1] (numeric) = 2.8685182422598557191008192802015 absolute error = 1e-31 relative error = 3.4861204132074373167447809206419e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 46.3 Order of pole = 1.165e-25 TOP MAIN SOLVE Loop x[1] = 4.496 y[1] (analytic) = 2.8690599402000741450434792336557 y[1] (numeric) = 2.8690599402000741450434792336558 absolute error = 1e-31 relative error = 3.4854622100724215361769000361979e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.497 y[1] (analytic) = 2.8696016311865795030776093824864 y[1] (numeric) = 2.8696016311865795030776093824865 absolute error = 1e-31 relative error = 3.4848042638813955121153452074398e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.498 y[1] (analytic) = 2.8701433152216906637713619672507 y[1] (numeric) = 2.8701433152216906637713619672508 absolute error = 1e-31 relative error = 3.4841465744812806440735269893812e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.499 y[1] (analytic) = 2.8706849923077253379676631022852 y[1] (numeric) = 2.8706849923077253379676631022854 absolute error = 2e-31 relative error = 6.9669782834382422734021795305447e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.5 y[1] (analytic) = 2.8712266624470000775574273699597 y[1] (numeric) = 2.8712266624470000775574273699599 absolute error = 2e-31 relative error = 6.9656639308841677518024533487170e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.501 y[1] (analytic) = 2.8717683256418302762521281231166 y[1] (numeric) = 2.8717683256418302762521281231167 absolute error = 1e-31 relative error = 3.4821750454974583050985143518342e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.502 y[1] (analytic) = 2.8723099818945301703557241398289 y[1] (numeric) = 2.872309981894530170355724139829 absolute error = 1e-31 relative error = 3.4815183817326563016570536132140e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.503 y[1] (analytic) = 2.8728516312074128395359432738556 y[1] (numeric) = 2.8728516312074128395359432738557 absolute error = 1e-31 relative error = 3.4808619739952120534487025631588e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.504 y[1] (analytic) = 2.8733932735827902075949237434227 y[1] (numeric) = 2.8733932735827902075949237434228 absolute error = 1e-31 relative error = 3.4802058221327819355711889559706e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.26 Order of pole = 9.557e-27 TOP MAIN SOLVE Loop x[1] = 4.505 y[1] (analytic) = 2.8739349090229730432392137002122 y[1] (numeric) = 2.8739349090229730432392137002124 absolute error = 2e-31 relative error = 6.9590998519862887744317779630112e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.506 y[1] (analytic) = 2.8744765375302709608491297196898 y[1] (numeric) = 2.87447653753027096084912971969 absolute error = 2e-31 relative error = 6.9577885708483995773701199923271e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.507 y[1] (analytic) = 2.8750181591069924212474748531562 y[1] (numeric) = 2.8750181591069924212474748531564 absolute error = 2e-31 relative error = 6.9564778005479406771166301277668e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.508 y[1] (analytic) = 2.8755597737554447324676168811616 y[1] (numeric) = 2.8755597737554447324676168811618 absolute error = 2e-31 relative error = 6.9551675407811998620162550334245e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.509 y[1] (analytic) = 2.8761013814779340505209274071764 y[1] (numeric) = 2.8761013814779340505209274071766 memory used=534.0MB, alloc=4.5MB, time=62.79 absolute error = 2e-31 relative error = 6.9538577912447080665283081770579e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.766 Order of pole = 7.700e-27 TOP MAIN SOLVE Loop x[1] = 4.51 y[1] (analytic) = 2.8766429822767653801635824296672 y[1] (numeric) = 2.8766429822767653801635824296673 absolute error = 1e-31 relative error = 3.4762742758176195632261655188814e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.511 y[1] (analytic) = 2.8771845761542425756627250299847 y[1] (numeric) = 2.8771845761542425756627250299849 absolute error = 2e-31 relative error = 6.9512398216498095344507477332984e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.512 y[1] (analytic) = 2.8777261631126683415619908127278 y[1] (numeric) = 2.877726163112668341561990812728 absolute error = 2e-31 relative error = 6.9499316009856781958678922307422e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.513 y[1] (analytic) = 2.878267743154344233446396734505 y[1] (numeric) = 2.8782677431543442334463967345052 absolute error = 2e-31 relative error = 6.9486238893403461848449879871515e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.514 y[1] (analytic) = 2.8788093162815706587065939562774 y[1] (numeric) = 2.8788093162815706587065939562776 absolute error = 2e-31 relative error = 6.9473166864115565007306605486619e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.515 y[1] (analytic) = 2.8793508824966468773024853537258 y[1] (numeric) = 2.879350882496646877302485353726 absolute error = 2e-31 relative error = 6.9460099918972938247865643169593e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.516 y[1] (analytic) = 2.8798924418018710025262083193461 y[1] (numeric) = 2.8798924418018710025262083193463 absolute error = 2e-31 relative error = 6.9447038054957842771877053713303e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.517 y[1] (analytic) = 2.880433994199540001764483489242 y[1] (numeric) = 2.8804339941995400017644834892421 absolute error = 1e-31 relative error = 3.4716990634527475871585214562563e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.518 y[1] (analytic) = 2.8809755396919496972603300268446 y[1] (numeric) = 2.8809755396919496972603300268448 absolute error = 2e-31 relative error = 6.9420929558251347863539525713587e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.519 y[1] (analytic) = 2.8815170782813947668741480950573 y[1] (numeric) = 2.8815170782813947668741480950574 absolute error = 1e-31 relative error = 3.4703941459768260475780677504336e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.52 y[1] (analytic) = 2.8820586099701687448441691475842 y[1] (numeric) = 2.8820586099701687448441691475843 absolute error = 1e-31 relative error = 3.4697420674951182762172789222332e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.521 y[1] (analytic) = 2.882600134760564022546274669474 y[1] (numeric) = 2.8826001347605640225462746694741 absolute error = 1e-31 relative error = 3.4690902423171589191105029232510e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.522 y[1] (analytic) = 2.8831416526548718492531839961722 y[1] (numeric) = 2.8831416526548718492531839961724 absolute error = 2e-31 relative error = 6.9368773405855656196278425427561e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.523 y[1] (analytic) = 2.8836831636553823328930118396479 y[1] (numeric) = 2.8836831636553823328930118396481 absolute error = 2e-31 relative error = 6.9355747025438893098995526394430e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.524 y[1] (analytic) = 2.8842246677643844408071961494276 y[1] (numeric) = 2.8842246677643844408071961494278 absolute error = 2e-31 relative error = 6.9342725702094378277556628585486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.525 y[1] (analytic) = 2.8847661649841660005077969356421 y[1] (numeric) = 2.8847661649841660005077969356423 absolute error = 2e-31 relative error = 6.9329709432825993570246256955543e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.526 y[1] (analytic) = 2.8853076553170137004341666804608 y[1] (numeric) = 2.885307655317013700434166680461 absolute error = 2e-31 relative error = 6.9316698214640011065682552025695e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.527 y[1] (analytic) = 2.8858491387652130907089929635628 y[1] (numeric) = 2.8858491387652130907089929635631 absolute error = 3e-31 relative error = 1.0395553806681763605744456113465e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.528 y[1] (analytic) = 2.8863906153310485838937139265666 y[1] (numeric) = 2.8863906153310485838937139265669 absolute error = 3e-31 relative error = 1.0393603637932841683006157984353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.529 y[1] (analytic) = 2.8869320850168034557433072006129 y[1] (numeric) = 2.8869320850168034557433072006132 absolute error = 3e-31 relative error = 1.0391654225501250161249303680234e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.53 y[1] (analytic) = 2.8874735478247598459604529205746 y[1] (numeric) = 2.8874735478247598459604529205749 absolute error = 3e-31 relative error = 1.0389705568939360411528339184120e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.531 y[1] (analytic) = 2.8880150037571987589490714486393 y[1] (numeric) = 2.8880150037571987589490714486397 absolute error = 4e-31 relative error = 1.3850343557066534064529218326612e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.532 y[1] (analytic) = 2.8885564528164000645672364292912 y[1] (numeric) = 2.8885564528164000645672364292916 absolute error = 4e-31 relative error = 1.3847747362181273429862131849660e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.427 Order of pole = 4.53e-28 TOP MAIN SOLVE Loop x[1] = 4.533 y[1] (analytic) = 2.889097895004642498879463796994 y[1] (numeric) = 2.8890978950046424988794637969943 absolute error = 3e-31 relative error = 1.0383864130000964512977143755459e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.534 y[1] (analytic) = 2.8896393303242036649083773571579 y[1] (numeric) = 2.8896393303242036649083773571582 absolute error = 3e-31 relative error = 1.0381918492448725071847657651164e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 11.44 Order of pole = 8.56e-28 TOP MAIN SOLVE Loop x[1] = 4.535 y[1] (analytic) = 2.8901807587773600333857515602544 y[1] (numeric) = 2.8901807587773600333857515602547 absolute error = 3e-31 relative error = 1.0379973608533388266758111604748e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.536 y[1] (analytic) = 2.8907221803663869435029320882199 y[1] (numeric) = 2.8907221803663869435029320882202 absolute error = 3e-31 relative error = 1.0378029477809460575710551806229e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.98 Order of pole = 8.651e-27 TOP MAIN SOLVE Loop x[1] = 4.537 y[1] (analytic) = 2.8912635950935586036606348715763 y[1] (numeric) = 2.8912635950935586036606348715766 absolute error = 3e-31 relative error = 1.0376086099831803081599418700074e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.538 y[1] (analytic) = 2.8918050029611480922181241549752 y[1] (numeric) = 2.8918050029611480922181241549756 absolute error = 4e-31 relative error = 1.3832191298874174823040488703822e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.539 y[1] (analytic) = 2.8923464039714273582417702281602 y[1] (numeric) = 2.8923464039714273582417702281606 absolute error = 4e-31 relative error = 1.3829602133782018548089305439489e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.54 y[1] (analytic) = 2.8928877981266672222529874386226 y[1] (numeric) = 2.8928877981266672222529874386229 absolute error = 3e-31 relative error = 1.0370260477930374232654778389842e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=537.8MB, alloc=4.5MB, time=63.24 TOP MAIN SOLVE Loop x[1] = 4.541 y[1] (analytic) = 2.8934291854291373769755531015154 y[1] (numeric) = 2.8934291854291373769755531015158 absolute error = 4e-31 relative error = 1.3824426808657984052629232117304e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.542 y[1] (analytic) = 2.8939705658811063880823079216757 y[1] (numeric) = 2.893970565881106388082307921676 absolute error = 3e-31 relative error = 1.0366380485582484123456002084405e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.543 y[1] (analytic) = 2.8945119394848416949412385418909 y[1] (numeric) = 2.8945119394848416949412385418912 absolute error = 3e-31 relative error = 1.0364441614754343758256302243362e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.544 y[1] (analytic) = 2.895053306242609611360942830839 y[1] (numeric) = 2.8950533062426096113609428308393 absolute error = 3e-31 relative error = 1.0362503493566400346860985662152e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.545 y[1] (analytic) = 2.8955946661566753263354785234154 y[1] (numeric) = 2.8955946661566753263354785234156 absolute error = 2e-31 relative error = 6.9070440810508927130990287616824e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.546 y[1] (analytic) = 2.8961360192293029047885958254546 y[1] (numeric) = 2.8961360192293029047885958254548 absolute error = 2e-31 relative error = 6.9057529988947976885752982698456e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.547 y[1] (analytic) = 2.8966773654627552883173545941451 y[1] (numeric) = 2.8966773654627552883173545941453 absolute error = 2e-31 relative error = 6.9044624156149069450079350386584e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.548 y[1] (analytic) = 2.8972187048592942959351267047267 y[1] (numeric) = 2.8972187048592942959351267047269 absolute error = 2e-31 relative error = 6.9031723309170460857917302007919e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.549 y[1] (analytic) = 2.8977600374211806248139842133551 y[1] (numeric) = 2.8977600374211806248139842133553 absolute error = 2e-31 relative error = 6.9018827445072742968729021928488e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.55 y[1] (analytic) = 2.8983013631506738510264739253115 y[1] (numeric) = 2.8983013631506738510264739253117 absolute error = 2e-31 relative error = 6.9005936560918841135250780371361e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.551 y[1] (analytic) = 2.8988426820500324302867789770305 y[1] (numeric) = 2.8988426820500324302867789770307 absolute error = 2e-31 relative error = 6.8993050653774011874057552263676e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.552 y[1] (analytic) = 2.8993839941215136986912680397161 y[1] (numeric) = 2.8993839941215136986912680397163 absolute error = 2e-31 relative error = 6.8980169720705840538928497459244e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.59 Order of pole = 2.319e-27 TOP MAIN SOLVE Loop x[1] = 4.553 y[1] (analytic) = 2.8999252993673738734584327516121 y[1] (numeric) = 2.8999252993673738734584327516123 absolute error = 2e-31 relative error = 6.8967293758784238997009364033012e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.554 y[1] (analytic) = 2.9004665977898680536682139852916 y[1] (numeric) = 2.9004665977898680536682139852917 absolute error = 1e-31 relative error = 3.4477211382540721653883941341029e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.555 y[1] (analytic) = 2.9010078893912502210007175556288 y[1] (numeric) = 2.901007889391250221000717555629 absolute error = 2e-31 relative error = 6.8941556736672011404738226594766e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.556 y[1] (analytic) = 2.9015491741737732404743199734182 y[1] (numeric) = 2.9015491741737732404743199734183 absolute error = 1e-31 relative error = 3.4464347835316410390025308732621e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.557 y[1] (analytic) = 2.9020904521396888611831648489016 y[1] (numeric) = 2.9020904521396888611831648489018 absolute error = 2e-31 relative error = 6.8915839564043066171742164634242e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.558 y[1] (analytic) = 2.9026317232912477170340505487744 y[1] (numeric) = 2.9026317232912477170340505487745 absolute error = 1e-31 relative error = 3.4451494206992128626922515315110e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.559 y[1] (analytic) = 2.9031729876306993274827097095338 y[1] (numeric) = 2.9031729876306993274827097095339 absolute error = 1e-31 relative error = 3.4445071108770108164624011332835e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.56 y[1] (analytic) = 2.9037142451602920982694812093458 y[1] (numeric) = 2.9037142451602920982694812093459 absolute error = 1e-31 relative error = 3.4438650485898538012663857956739e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.561 y[1] (analytic) = 2.904255495882273322154375199905 y[1] (numeric) = 2.9042554958822733221543751999051 absolute error = 1e-31 relative error = 3.4432232336921638496172610323360e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.695 Order of pole = 2.054e-27 TOP MAIN SOLVE Loop x[1] = 4.562 y[1] (analytic) = 2.9047967397988891796515317990698 y[1] (numeric) = 2.9047967397988891796515317990699 absolute error = 1e-31 relative error = 3.4425816660384782802302355786206e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.563 y[1] (analytic) = 2.9053379769123847397630740443614 y[1] (numeric) = 2.9053379769123847397630740443616 absolute error = 2e-31 relative error = 6.8838806909668991664369843925634e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.564 y[1] (analytic) = 2.9058792072250039607123557067228 y[1] (numeric) = 2.905879207225003960712355706723 absolute error = 2e-31 relative error = 6.8825985437636906108534187114995e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.565 y[1] (analytic) = 2.90642043073898969067660456324 y[1] (numeric) = 2.9064204307389896906766045632402 absolute error = 2e-31 relative error = 6.8813168901770958718041812923813e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.566 y[1] (analytic) = 2.9069616474565836685189617268392 y[1] (numeric) = 2.9069616474565836685189617268394 absolute error = 2e-31 relative error = 6.8800357299171095830054181473417e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.567 y[1] (analytic) = 2.9075028573800265245199176302828 y[1] (numeric) = 2.9075028573800265245199176302831 absolute error = 3e-31 relative error = 1.0318132594040933707928921151882e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.568 y[1] (analytic) = 2.9080440605115577811081452610976 y[1] (numeric) = 2.9080440605115577811081452610978 absolute error = 2e-31 relative error = 6.8774748882180877983520530443178e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.569 y[1] (analytic) = 2.9085852568534158535907312433792 y[1] (numeric) = 2.9085852568534158535907312433795 absolute error = 3e-31 relative error = 1.0314292809300281689238631949258e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.57 y[1] (analytic) = 2.909126446407838050882805361734 y[1] (numeric) = 2.9091264464078380508828053617343 absolute error = 3e-31 relative error = 1.0312374024526750143834256342752e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.571 y[1] (analytic) = 2.9096676291770605762365691219262 y[1] (numeric) = 2.9096676291770605762365691219264 absolute error = 2e-31 relative error = 6.8736373183821641972035934810435e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.572 y[1] (analytic) = 2.9102088051633185279697239421194 y[1] (numeric) = 2.9102088051633185279697239421196 memory used=541.7MB, alloc=4.5MB, time=63.69 absolute error = 2e-31 relative error = 6.8723591120045478750958895727708e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.573 y[1] (analytic) = 2.9107499743688459001932995679129 y[1] (numeric) = 2.9107499743688459001932995679132 absolute error = 3e-31 relative error = 1.0306622095394870454535277633617e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.402 Order of pole = 4.221e-27 TOP MAIN SOLVE Loop x[1] = 4.574 y[1] (analytic) = 2.9112911367958755835388833036906 y[1] (numeric) = 2.9112911367958755835388833036909 absolute error = 3e-31 relative error = 1.0304706259305127734459171635685e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.575 y[1] (analytic) = 2.9118322924466393658852506521175 y[1] (numeric) = 2.9118322924466393658852506521178 absolute error = 3e-31 relative error = 1.0302791159305670578695384857497e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.576 y[1] (analytic) = 2.9123734413233679330843979529376 y[1] (numeric) = 2.9123734413233679330843979529378 absolute error = 2e-31 relative error = 6.8672511966432779918247114361507e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.577 y[1] (analytic) = 2.9129145834282908696869776115446 y[1] (numeric) = 2.9129145834282908696869776115448 absolute error = 2e-31 relative error = 6.8659754439010837984061040551850e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.578 y[1] (analytic) = 2.9134557187636366596671365071186 y[1] (numeric) = 2.9134557187636366596671365071188 absolute error = 2e-31 relative error = 6.8647001810232638943946384213501e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.579 y[1] (analytic) = 2.91399684733163268714675816944 y[1] (numeric) = 2.9139968473316326871467581694403 absolute error = 3e-31 relative error = 1.0295138111584166612349234767824e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 35 Order of pole = 1.311e-25 TOP MAIN SOLVE Loop x[1] = 4.58 y[1] (analytic) = 2.914537969134505237119109312817 y[1] (numeric) = 2.9145379691345052371191093128173 absolute error = 3e-31 relative error = 1.0293226685569216924460238123075e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.581 y[1] (analytic) = 2.9150790841744794961718913148824 y[1] (numeric) = 2.9150790841744794961718913148827 absolute error = 3e-31 relative error = 1.0291315993060165077355114068565e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.582 y[1] (analytic) = 2.9156201924537795532096972273412 y[1] (numeric) = 2.9156201924537795532096972273415 absolute error = 3e-31 relative error = 1.0289406033627468418653126304121e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.125 Order of pole = 5.215e-27 TOP MAIN SOLVE Loop x[1] = 4.583 y[1] (analytic) = 2.9161612939746284001758749050737 y[1] (numeric) = 2.916161293974628400175874905074 absolute error = 3e-31 relative error = 1.0287496806841923007903128011766e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.57 Order of pole = 2.451e-26 TOP MAIN SOLVE Loop x[1] = 4.584 y[1] (analytic) = 2.9167023887392479327737968393243 y[1] (numeric) = 2.9167023887392479327737968393246 absolute error = 3e-31 relative error = 1.0285588312274663280725722513139e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.585 y[1] (analytic) = 2.9172434767498589511875372800325 y[1] (numeric) = 2.9172434767498589511875372800328 absolute error = 3e-31 relative error = 1.0283680549497161713356551272366e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 14.57 Order of pole = 7.733e-27 TOP MAIN SOLVE Loop x[1] = 4.586 y[1] (analytic) = 2.9177845580086811608019572316894 y[1] (numeric) = 2.9177845580086811608019572316898 absolute error = 4e-31 relative error = 1.3709031357441637983453531977136e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.587 y[1] (analytic) = 2.9183256325179331729221979064312 y[1] (numeric) = 2.9183256325179331729221979064316 absolute error = 4e-31 relative error = 1.3706489623465348208165075162928e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.588 y[1] (analytic) = 2.9188667002798325054925832174091 y[1] (numeric) = 2.9188667002798325054925832174095 absolute error = 4e-31 relative error = 1.3703948863497325744401176337978e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 14.82 Order of pole = 5.984e-27 TOP MAIN SOLVE Loop x[1] = 4.589 y[1] (analytic) = 2.9194077612965955838149318948068 y[1] (numeric) = 2.9194077612965955838149318948072 absolute error = 4e-31 relative error = 1.3701409076967998981670676324913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.59 y[1] (analytic) = 2.9199488155704377412662798062043 y[1] (numeric) = 2.9199488155704377412662798062047 absolute error = 4e-31 relative error = 1.3698870263308244801920829947694e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.591 y[1] (analytic) = 2.9204898631035732200160130623211 y[1] (numeric) = 2.9204898631035732200160130623215 absolute error = 4e-31 relative error = 1.3696332421949388135455063200518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.592 y[1] (analytic) = 2.9210309038982151717424124885019 y[1] (numeric) = 2.9210309038982151717424124885023 absolute error = 4e-31 relative error = 1.3693795552323201517380362774191e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.593 y[1] (analytic) = 2.9215719379565756583486100416426 y[1] (numeric) = 2.9215719379565756583486100416431 absolute error = 5e-31 relative error = 1.7114074567327380805729449049247e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.393 Order of pole = 5.082e-27 TOP MAIN SOLVE Loop x[1] = 4.594 y[1] (analytic) = 2.9221129652808656526779577515882 y[1] (numeric) = 2.9221129652808656526779577515887 absolute error = 5e-31 relative error = 1.7110905907497704916544707957047e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.595 y[1] (analytic) = 2.9226539858732950392288097653676 y[1] (numeric) = 2.9226539858732950392288097653681 absolute error = 5e-31 relative error = 1.7107738460206365096030300289675e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.596 y[1] (analytic) = 2.9231949997360726148687180719692 y[1] (numeric) = 2.9231949997360726148687180719696 absolute error = 4e-31 relative error = 1.3683657779796247604710922958944e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.432 Order of pole = 7.194e-27 TOP MAIN SOLVE Loop x[1] = 4.597 y[1] (analytic) = 2.9237360068714060895480424846943 y[1] (numeric) = 2.9237360068714060895480424846948 absolute error = 5e-31 relative error = 1.7101407200407043051521171338114e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.598 y[1] (analytic) = 2.9242770072815020870129754574666 y[1] (numeric) = 2.9242770072815020870129754574671 absolute error = 5e-31 relative error = 1.7098243386484626831540372065611e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.599 y[1] (analytic) = 2.9248180009685661455179823108097 y[1] (numeric) = 2.9248180009685661455179823108102 absolute error = 5e-31 relative error = 1.7095080782271677587937638324466e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.6 y[1] (analytic) = 2.9253589879348027185376574425498 y[1] (numeric) = 2.9253589879348027185376574425504 absolute error = 6e-31 relative error = 2.0510303264474840588286790313286e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.601 y[1] (analytic) = 2.9258999681824151754779970976358 y[1] (numeric) = 2.9258999681824151754779970976363 absolute error = 5e-31 relative error = 1.7088759200151421920314652754403e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.602 y[1] (analytic) = 2.9264409417136058023870892708117 y[1] (numeric) = 2.9264409417136058023870892708122 absolute error = 5e-31 relative error = 1.7085600220834122257841470154024e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.603 y[1] (analytic) = 2.9269819085305758026652213152207 y[1] (numeric) = 2.9269819085305758026652213152212 absolute error = 5e-31 relative error = 1.7082442448406301999750651640146e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=545.5MB, alloc=4.5MB, time=64.14 TOP MAIN SOLVE Loop x[1] = 4.604 y[1] (analytic) = 2.927522868635525297774405829358 y[1] (numeric) = 2.9275228686355252977744058293585 absolute error = 5e-31 relative error = 1.7079285882164347880326548233858e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.605 y[1] (analytic) = 2.9280638220306533279473253941376 y[1] (numeric) = 2.9280638220306533279473253941381 absolute error = 5e-31 relative error = 1.7076130521405198991955590597528e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.606 y[1] (analytic) = 2.9286047687181578528956967311805 y[1] (numeric) = 2.928604768718157852895696731181 absolute error = 5e-31 relative error = 1.7072976365426346239857804874728e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.607 y[1] (analytic) = 2.9291457087002357525180548527776 y[1] (numeric) = 2.929145708700235752518054852778 absolute error = 4e-31 relative error = 1.3655858730820665437973337540624e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.608 y[1] (analytic) = 2.9296866419790828276069577733259 y[1] (numeric) = 2.9296866419790828276069577733264 absolute error = 5e-31 relative error = 1.7066671665002248562456428419178e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.609 y[1] (analytic) = 2.9302275685568938005556123513866 y[1] (numeric) = 2.9302275685568938005556123513871 absolute error = 5e-31 relative error = 1.7063521119154739613415909674059e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.61 y[1] (analytic) = 2.9307684884358623160639218308567 y[1] (numeric) = 2.9307684884358623160639218308572 absolute error = 5e-31 relative error = 1.7060371775282997667168035581251e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.724 Order of pole = 2.035e-27 TOP MAIN SOLVE Loop x[1] = 4.611 y[1] (analytic) = 2.9313094016181809418439556490993 y[1] (numeric) = 2.9313094016181809418439556490998 absolute error = 5e-31 relative error = 1.7057223632687264536734042360208e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.612 y[1] (analytic) = 2.9318503081060411693248420792246 y[1] (numeric) = 2.9318503081060411693248420792251 absolute error = 5e-31 relative error = 1.7054076690668330589941564336344e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.613 y[1] (analytic) = 2.9323912079016334143570842730645 y[1] (numeric) = 2.932391207901633414357084273065 absolute error = 5e-31 relative error = 1.7050930948527534208675671347968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.614 y[1] (analytic) = 2.9329321010071470179163002707361 y[1] (numeric) = 2.9329321010071470179163002707366 absolute error = 5e-31 relative error = 1.7047786405566761248771968814101e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.615 y[1] (analytic) = 2.9334729874247702468063875420394 y[1] (numeric) = 2.9334729874247702468063875420399 absolute error = 5e-31 relative error = 1.7044643061088444500550868914060e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.616 y[1] (analytic) = 2.9340138671566902943621126242905 y[1] (numeric) = 2.934013867156690294362112624291 absolute error = 5e-31 relative error = 1.7041500914395563149992142746669e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.617 y[1] (analytic) = 2.9345547402050932811511264205422 y[1] (numeric) = 2.9345547402050932811511264205426 absolute error = 4e-31 relative error = 1.3630687971833313792439091801196e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.618 y[1] (analytic) = 2.9350956065721642556754057215011 y[1] (numeric) = 2.9350956065721642556754057215016 absolute error = 5e-31 relative error = 1.7035220211580752135599862086422e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.619 y[1] (analytic) = 2.9356364662600871950721215138053 y[1] (numeric) = 2.9356364662600871950721215138058 absolute error = 5e-31 relative error = 1.7032081654067507981539783065324e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 27.08 Order of pole = 1.154e-25 TOP MAIN SOLVE Loop x[1] = 4.62 y[1] (analytic) = 2.936177319271045005813934636681 y[1] (numeric) = 2.9361773192710450058139346366815 absolute error = 5e-31 relative error = 1.7028944291557069171505900166520e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.621 y[1] (analytic) = 2.9367181656072195244087193483573 y[1] (numeric) = 2.9367181656072195244087193483578 absolute error = 5e-31 relative error = 1.7025808123355138809740764527045e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.622 y[1] (analytic) = 2.9372590052707915180987153629737 y[1] (numeric) = 2.9372590052707915180987153629742 absolute error = 5e-31 relative error = 1.7022673148767963176589830239700e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.623 y[1] (analytic) = 2.9377998382639406855591089180741 y[1] (numeric) = 2.9377998382639406855591089180746 absolute error = 5e-31 relative error = 1.7019539367102331194133168169187e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.624 y[1] (analytic) = 2.9383406645888456575960434321422 y[1] (numeric) = 2.9383406645888456575960434321427 absolute error = 5e-31 relative error = 1.7016406777665573892450390400522e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 26.9 Order of pole = 3.512e-26 TOP MAIN SOLVE Loop x[1] = 4.625 y[1] (analytic) = 2.9388814842476839978440603109925 y[1] (numeric) = 2.938881484247683997844060310993 absolute error = 5e-31 relative error = 1.7013275379765563876517907827296e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.626 y[1] (analytic) = 2.9394222972426322034629704611922 y[1] (numeric) = 2.9394222972426322034629704611927 absolute error = 5e-31 relative error = 1.7010145172710714793737644779230e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.627 y[1] (analytic) = 2.9399631035758657058341570680538 y[1] (numeric) = 2.9399631035758657058341570680542 absolute error = 4e-31 relative error = 1.3605612924647984641677068782313e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.628 y[1] (analytic) = 2.9405039032495588712563101950976 y[1] (numeric) = 2.940503903249558871256310195098 absolute error = 4e-31 relative error = 1.3603110662698284831163625997067e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.629 y[1] (analytic) = 2.9410446962658850016405937612516 y[1] (numeric) = 2.941044696265885001640593761252 absolute error = 4e-31 relative error = 1.3600609351767499272371555826310e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.63 y[1] (analytic) = 2.9415854826270163352052454514164 y[1] (numeric) = 2.9415854826270163352052454514168 absolute error = 4e-31 relative error = 1.3598108991304085969292601753016e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.631 y[1] (analytic) = 2.9421262623351240471696101153926 y[1] (numeric) = 2.9421262623351240471696101153931 absolute error = 5e-31 relative error = 1.6994511975946167046908509838733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.632 y[1] (analytic) = 2.9426670353923782504476072095314 y[1] (numeric) = 2.9426670353923782504476072095319 absolute error = 5e-31 relative error = 1.6991388899469201601652284990949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.633 y[1] (analytic) = 2.9432078018009479963406328348373 y[1] (numeric) = 2.9432078018009479963406328348378 absolute error = 5e-31 relative error = 1.6988267009011397213890656546993e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.634 y[1] (analytic) = 2.9437485615630012752298969246216 y[1] (numeric) = 2.943748561563001275229896924622 absolute error = 4e-31 relative error = 1.3588117043108381421560170055864e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=549.3MB, alloc=4.5MB, time=64.58 x[1] = 4.635 y[1] (analytic) = 2.9442893146807050172681961341706 y[1] (numeric) = 2.944289314680705017268196134171 absolute error = 4e-31 relative error = 1.3585621426723759570090545741995e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.636 y[1] (analytic) = 2.9448300611562250930711229842662 y[1] (numeric) = 2.9448300611562250930711229842666 absolute error = 4e-31 relative error = 1.3583126757506288155930271581840e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.637 y[1] (analytic) = 2.9453708009917263144077118097635 y[1] (numeric) = 2.9453708009917263144077118097639 absolute error = 4e-31 relative error = 1.3580633034907431299640654872250e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.638 y[1] (analytic) = 2.945911534189372434890522063804 y[1] (numeric) = 2.9459115341893724348905220638044 absolute error = 4e-31 relative error = 1.3578140258379080883148384140501e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.639 y[1] (analytic) = 2.9464522607513261506651595276134 y[1] (numeric) = 2.9464522607513261506651595276138 absolute error = 4e-31 relative error = 1.3575648427373556130272376979166e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.64 y[1] (analytic) = 2.9469929806797491010992359752075 y[1] (numeric) = 2.946992980679749101099235975208 absolute error = 5e-31 relative error = 1.6966446926679503984682621247612e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.641 y[1] (analytic) = 2.9475336939768018694707678417019 y[1] (numeric) = 2.9475336939768018694707678417024 absolute error = 5e-31 relative error = 1.6963334499677993383418319348937e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.642 y[1] (analytic) = 2.9480744006446439836560144432965 y[1] (numeric) = 2.948074400644643983656014443297 absolute error = 5e-31 relative error = 1.6960223252529411781057518002130e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.643 y[1] (analytic) = 2.9486151006854339168167562963823 y[1] (numeric) = 2.9486151006854339168167562963828 absolute error = 5e-31 relative error = 1.6957113184551289685794510733485e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 26.83 Order of pole = 4.571e-26 TOP MAIN SOLVE Loop x[1] = 4.644 y[1] (analytic) = 2.9491557941013290880870140825919 y[1] (numeric) = 2.9491557941013290880870140825924 absolute error = 5e-31 relative error = 1.6954004295061689170754632233103e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.645 y[1] (analytic) = 2.9496964808944858632592088059945 y[1] (numeric) = 2.949696480894485863259208805995 absolute error = 5e-31 relative error = 1.6950896583379203353356030776532e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 28.4 Order of pole = 8.481e-26 TOP MAIN SOLVE Loop x[1] = 4.646 y[1] (analytic) = 2.9502371610670595554697636880123 y[1] (numeric) = 2.9502371610670595554697636880128 absolute error = 5e-31 relative error = 1.6947790048822955875285664177906e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.647 y[1] (analytic) = 2.950777834621204425884148345015 y[1] (numeric) = 2.9507778346212044258841483450156 absolute error = 6e-31 relative error = 2.0333621628855120459706406204219e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.648 y[1] (analytic) = 2.9513185015590736843813657929281 y[1] (numeric) = 2.9513185015590736843813657929287 absolute error = 6e-31 relative error = 2.0329896610041984011244332135649e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.089 Order of pole = 3.569e-27 TOP MAIN SOLVE Loop x[1] = 4.649 y[1] (analytic) = 2.9518591618828194902378828225704 y[1] (numeric) = 2.9518591618828194902378828225709 absolute error = 5e-31 relative error = 1.6938477501110826854609372931640e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.65 y[1] (analytic) = 2.9523998155945929528110042888189 y[1] (numeric) = 2.9523998155945929528110042888194 absolute error = 5e-31 relative error = 1.6935375668261361469582954189605e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.651 y[1] (analytic) = 2.9529404626965441322216918560796 y[1] (numeric) = 2.9529404626965441322216918560801 absolute error = 5e-31 relative error = 1.6932275009141692338400543197512e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.652 y[1] (analytic) = 2.9534811031908220400368277419252 y[1] (numeric) = 2.9534811031908220400368277419257 absolute error = 5e-31 relative error = 1.6929175523074115362147779053601e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.653 y[1] (analytic) = 2.9540217370795746399509240001458 y[1] (numeric) = 2.9540217370795746399509240001463 absolute error = 5e-31 relative error = 1.6926077209381453343138324506582e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.477 Order of pole = 6.513e-27 TOP MAIN SOLVE Loop x[1] = 4.654 y[1] (analytic) = 2.9545623643649488484672778838424 y[1] (numeric) = 2.9545623643649488484672778838428 absolute error = 4e-31 relative error = 1.3538384053909644375818603616924e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.655 y[1] (analytic) = 2.9551029850490905355785738285759 y[1] (numeric) = 2.9551029850490905355785738285763 absolute error = 4e-31 relative error = 1.3535907277131837441605671532249e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.656 y[1] (analytic) = 2.9556435991341445254469325949748 y[1] (numeric) = 2.9556435991341445254469325949753 absolute error = 5e-31 relative error = 1.6916789295789077757419637091175e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.657 y[1] (analytic) = 2.9561842066222545970834081095867 y[1] (numeric) = 2.9561842066222545970834081095871 absolute error = 4e-31 relative error = 1.3530956531867858878314248158594e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.658 y[1] (analytic) = 2.9567248075155634850269325421484 y[1] (numeric) = 2.9567248075155634850269325421488 absolute error = 4e-31 relative error = 1.3528482562301987133513268306071e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.659 y[1] (analytic) = 2.9572654018162128800227101568393 y[1] (numeric) = 2.9572654018162128800227101568397 absolute error = 4e-31 relative error = 1.3526009527394425701878618470384e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.811 Order of pole = 9.18e-28 TOP MAIN SOLVE Loop x[1] = 4.66 y[1] (analytic) = 2.9578059895263434297000604744681 y[1] (numeric) = 2.9578059895263434297000604744685 absolute error = 4e-31 relative error = 1.3523537426606371960119414147925e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.661 y[1] (analytic) = 2.9583465706480947392497112819359 y[1] (numeric) = 2.9583465706480947392497112819364 absolute error = 5e-31 relative error = 1.6901332824249301903223449011293e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.662 y[1] (analytic) = 2.9588871451836053721005420247081 y[1] (numeric) = 2.9588871451836053721005420247086 absolute error = 5e-31 relative error = 1.6898245031544584791231407714043e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.663 y[1] (analytic) = 2.9594277131350128505957781174187 y[1] (numeric) = 2.9594277131350128505957781174192 absolute error = 5e-31 relative error = 1.6895158404471877195854668083670e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.664 y[1] (analytic) = 2.9599682745044536566686367071238 y[1] (numeric) = 2.9599682745044536566686367071244 absolute error = 6e-31 relative error = 2.0270487530831716760020900050107e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.665 y[1] (analytic) = 2.960508829294063232517424423114 y[1] (numeric) = 2.9605088292940632325174244231146 absolute error = 6e-31 relative error = 2.0266786373444820855247895887289e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.606 Order of pole = 9.64e-28 TOP MAIN SOLVE Loop x[1] = 4.666 y[1] (analytic) = 2.9610493775059759812800876465875 y[1] (numeric) = 2.9610493775059759812800876465881 absolute error = 6e-31 relative error = 2.0263086612401115953267313025353e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 memory used=553.1MB, alloc=4.5MB, time=65.02 TOP MAIN SOLVE Loop x[1] = 4.667 y[1] (analytic) = 2.9615899191423252677082158328832 y[1] (numeric) = 2.9615899191423252677082158328837 absolute error = 5e-31 relative error = 1.6882823539080647316361215302346e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.668 y[1] (analytic) = 2.9621304542052434188404984183658 y[1] (numeric) = 2.9621304542052434188404984183664 absolute error = 6e-31 relative error = 2.0255691276128601144826455240578e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.297 Order of pole = 4.27e-28 TOP MAIN SOLVE Loop x[1] = 4.669 y[1] (analytic) = 2.962670982696861724675635843454 y[1] (numeric) = 2.9626709826968617246756358434545 absolute error = 5e-31 relative error = 1.6876663082745007780748797548696e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.67 y[1] (analytic) = 2.9632115046193104388447052226749 y[1] (numeric) = 2.9632115046193104388447052226754 absolute error = 5e-31 relative error = 1.6873584596325869595694633708535e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.671 y[1] (analytic) = 2.9637520199747187792829811920328 y[1] (numeric) = 2.9637520199747187792829811920332 absolute error = 4e-31 relative error = 1.3496405816145578068412225905901e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.672 y[1] (analytic) = 2.9642925287652149289012124633712 y[1] (numeric) = 2.9642925287652149289012124633717 absolute error = 5e-31 relative error = 1.6867431103646053486687932409092e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.673 y[1] (analytic) = 2.9648330309929260362563546148134 y[1] (numeric) = 2.9648330309929260362563546148138 absolute error = 4e-31 relative error = 1.3491484876841092598737548911874e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.674 y[1] (analytic) = 2.9653735266599782162217596457595 y[1] (numeric) = 2.9653735266599782162217596457599 absolute error = 4e-31 relative error = 1.3489025797385343223595071015103e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.675 y[1] (analytic) = 2.9659140157684965506568228243276 y[1] (numeric) = 2.9659140157684965506568228243281 absolute error = 5e-31 relative error = 1.6858209555021278695672590269867e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.676 y[1] (analytic) = 2.9664544983206050890760873545198 y[1] (numeric) = 2.9664544983206050890760873545202 absolute error = 4e-31 relative error = 1.3484110416203972254187304289361e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.677 y[1] (analytic) = 2.9669949743184268493178073898006 y[1] (numeric) = 2.9669949743184268493178073898011 absolute error = 5e-31 relative error = 1.6852067641768054170064538198908e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.678 y[1] (analytic) = 2.9675354437640838182119699191807 y[1] (numeric) = 2.9675354437640838182119699191811 absolute error = 4e-31 relative error = 1.3479198735117099783880751800524e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.782 Order of pole = 1.298e-27 TOP MAIN SOLVE Loop x[1] = 4.679 y[1] (analytic) = 2.9680759066596969522477760512953 y[1] (numeric) = 2.9680759066596969522477760512958 absolute error = 5e-31 relative error = 1.6845930350976270176859367099096e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.68 y[1] (analytic) = 2.9686163630073861782405822213809 y[1] (numeric) = 2.9686163630073861782405822213814 absolute error = 5e-31 relative error = 1.6842863437344596893798765152139e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.095 Order of pole = 3.431e-27 TOP MAIN SOLVE Loop x[1] = 4.681 y[1] (analytic) = 2.9691568128092703939983018454504 y[1] (numeric) = 2.9691568128092703939983018454509 absolute error = 5e-31 relative error = 1.6839797677338723967270342528002e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.682 y[1] (analytic) = 2.9696972560674674689872679453804 y[1] (numeric) = 2.9696972560674674689872679453809 absolute error = 5e-31 relative error = 1.6836733070296532689301464628839e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.683 y[1] (analytic) = 2.9702376927840942449975572680263 y[1] (numeric) = 2.9702376927840942449975572680268 absolute error = 5e-31 relative error = 1.6833669615556416059463288178471e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.684 y[1] (analytic) = 2.9707781229612665368077764208916 y[1] (numeric) = 2.9707781229612665368077764208921 absolute error = 5e-31 relative error = 1.6830607312457278287571337754799e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.685 y[1] (analytic) = 2.9713185466010991328493105462848 y[1] (numeric) = 2.9713185466010991328493105462852 absolute error = 4e-31 relative error = 1.3462036928270827437574580880597e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.686 y[1] (analytic) = 2.9718589637057057958700350553075 y[1] (numeric) = 2.9718589637057057958700350553079 absolute error = 4e-31 relative error = 1.3459588926832087382710176998969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.687 y[1] (analytic) = 2.9723993742771992635974909424276 y[1] (numeric) = 2.972399374277199263597490942428 absolute error = 4e-31 relative error = 1.3457141845121950355519491793872e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.688 y[1] (analytic) = 2.9729397783176912494015242008008 y[1] (numeric) = 2.9729397783176912494015242008011 absolute error = 3e-31 relative error = 1.0091021761959878720659707891705e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.689 y[1] (analytic) = 2.9734801758292924429563898579168 y[1] (numeric) = 2.9734801758292924429563898579172 absolute error = 4e-31 relative error = 1.3452250438778913456305074398523e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.69 y[1] (analytic) = 2.9740205668141125109023211505598 y[1] (numeric) = 2.9740205668141125109023211505601 absolute error = 3e-31 relative error = 1.0087354584819558517669816249350e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.691 y[1] (analytic) = 2.9745609512742600975065643574818 y[1] (numeric) = 2.974560951274260097506564357482 absolute error = 2e-31 relative error = 6.7236813525143201870319832714589e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.692 y[1] (analytic) = 2.9751013292118428253238798076072 y[1] (numeric) = 2.9751013292118428253238798076074 absolute error = 2e-31 relative error = 6.7224601070304906773814255546841e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 15.59 Order of pole = 2.364e-26 TOP MAIN SOLVE Loop x[1] = 4.693 y[1] (analytic) = 2.975641700628967295856509580997 y[1] (numeric) = 2.9756417006289672958565095809972 absolute error = 2e-31 relative error = 6.7212393198322769438943697567143e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.694 y[1] (analytic) = 2.976182065527739090213612419218 y[1] (numeric) = 2.9761820655277390902136124192182 absolute error = 2e-31 relative error = 6.7200189906572746219584291041490e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.695 y[1] (analytic) = 2.9767224239102627697701663611792 y[1] (numeric) = 2.9767224239102627697701663611794 absolute error = 2e-31 relative error = 6.7187991192432816582402101198408e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.696 y[1] (analytic) = 2.9772627757786418768253396199139 y[1] (numeric) = 2.9772627757786418768253396199141 absolute error = 2e-31 relative error = 6.7175797053282981145389029624606e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.586 Order of pole = 4.321e-27 TOP MAIN SOLVE Loop x[1] = 4.697 y[1] (analytic) = 2.9778031211349789352603302152032 y[1] (numeric) = 2.9778031211349789352603302152035 absolute error = 3e-31 relative error = 1.0074541122975788957803404934061e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=556.9MB, alloc=4.5MB, time=65.48 x[1] = 4.698 y[1] (analytic) = 2.9783434599813754511956748763562 y[1] (numeric) = 2.9783434599813754511956748763565 absolute error = 3e-31 relative error = 1.0072713373422553402157079190466e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.699 y[1] (analytic) = 2.9788837923199319136480277288799 y[1] (numeric) = 2.9788837923199319136480277288802 absolute error = 3e-31 relative error = 1.0070886308940648353780729082608e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.7 y[1] (analytic) = 2.9794241181527477951864092781936 y[1] (numeric) = 2.9794241181527477951864092781939 absolute error = 3e-31 relative error = 1.0069059929138283660837407750099e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.701 y[1] (analytic) = 2.9799644374819215525879262029611 y[1] (numeric) = 2.9799644374819215525879262029614 absolute error = 3e-31 relative error = 1.0067234233623970878235556128774e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 42.42 Order of pole = 9.710e-26 TOP MAIN SOLVE Loop x[1] = 4.702 y[1] (analytic) = 2.9805047503095506274929624700379 y[1] (numeric) = 2.9805047503095506274929624700382 absolute error = 3e-31 relative error = 1.0065409222006522975463947716518e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.703 y[1] (analytic) = 2.9810450566377314470598422824498 y[1] (numeric) = 2.9810450566377314470598422824501 absolute error = 3e-31 relative error = 1.0063584893895054044767425960102e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.704 y[1] (analytic) = 2.9815853564685594246189653712453 y[1] (numeric) = 2.9815853564685594246189653712456 absolute error = 3e-31 relative error = 1.0061761248898979009662969371734e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.705 y[1] (analytic) = 2.9821256498041289603264151414857 y[1] (numeric) = 2.982125649804128960326415141486 absolute error = 3e-31 relative error = 1.0059938286628013333795620209919e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 14.46 Order of pole = 4.404e-27 TOP MAIN SOLVE Loop x[1] = 4.706 y[1] (analytic) = 2.9826659366465334418170401820621 y[1] (numeric) = 2.9826659366465334418170401820624 absolute error = 3e-31 relative error = 1.0058116006692172730133813283913e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.707 y[1] (analytic) = 2.9832062169978652448570096484532 y[1] (numeric) = 2.9832062169978652448570096484535 absolute error = 3e-31 relative error = 1.0056294408701772870503642164374e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.431 Order of pole = 6.901e-27 TOP MAIN SOLVE Loop x[1] = 4.708 y[1] (analytic) = 2.9837464908602157339958430269645 y[1] (numeric) = 2.9837464908602157339958430269648 absolute error = 3e-31 relative error = 1.0054473492267429095461600804949e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.709 y[1] (analytic) = 2.9842867582356752632179147884152 y[1] (numeric) = 2.9842867582356752632179147884155 absolute error = 3e-31 relative error = 1.0052653257000056124505339300350e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 17.1 Order of pole = 2.218e-26 TOP MAIN SOLVE Loop x[1] = 4.71 y[1] (analytic) = 2.9848270191263331765934344386668 y[1] (numeric) = 2.9848270191263331765934344386671 absolute error = 3e-31 relative error = 1.0050833702510867766621973226028e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.711 y[1] (analytic) = 2.9853672735342778089289024728156 y[1] (numeric) = 2.9853672735342778089289024728159 absolute error = 3e-31 relative error = 1.0049014828411376631173486722872e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.342 Order of pole = 8.485e-27 TOP MAIN SOLVE Loop x[1] = 4.712 y[1] (analytic) = 2.9859075214615964864170427393005 y[1] (numeric) = 2.9859075214615964864170427393008 absolute error = 3e-31 relative error = 1.0047196634313393839118770207372e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.455 Order of pole = 5.669e-27 TOP MAIN SOLVE Loop x[1] = 4.713 y[1] (analytic) = 2.9864477629103755272862117196062 y[1] (numeric) = 2.9864477629103755272862117196065 absolute error = 3e-31 relative error = 1.0045379119829028734571834303487e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.714 y[1] (analytic) = 2.9869879978827002424492852286726 y[1] (numeric) = 2.986987997882700242449285228673 absolute error = 4e-31 relative error = 1.3391416379427584795594323075940e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.715 y[1] (analytic) = 2.9875282263806549361520230405531 y[1] (numeric) = 2.9875282263806549361520230405535 absolute error = 4e-31 relative error = 1.3388994837534771135909072274765e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.716 y[1] (analytic) = 2.9880684484063229066209119432942 y[1] (numeric) = 2.9880684484063229066209119432946 absolute error = 4e-31 relative error = 1.3386574200244267048751434659969e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.717 y[1] (analytic) = 2.9886086639617864467104877264441 y[1] (numeric) = 2.9886086639617864467104877264445 absolute error = 4e-31 relative error = 1.3384154467040471679486944968264e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.718 y[1] (analytic) = 2.9891488730491268445501366040286 y[1] (numeric) = 2.989148873049126844550136604029 absolute error = 4e-31 relative error = 1.3381735637408179888111589945136e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.719 y[1] (analytic) = 2.9896890756704243841903765752683 y[1] (numeric) = 2.9896890756704243841903765752687 absolute error = 4e-31 relative error = 1.3379317710832581867339387956002e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.72 y[1] (analytic) = 2.9902292718277583462486192247451 y[1] (numeric) = 2.9902292718277583462486192247455 absolute error = 4e-31 relative error = 1.3376900686799262761133951706468e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.721 y[1] (analytic) = 2.9907694615232070085544124631612 y[1] (numeric) = 2.9907694615232070085544124631617 absolute error = 5e-31 relative error = 1.6718105705992752854604288051947e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.722 y[1] (analytic) = 2.9913096447588476467941647092711 y[1] (numeric) = 2.9913096447588476467941647092716 absolute error = 5e-31 relative error = 1.6715086680379717923522786166508e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.723 y[1] (analytic) = 2.9918498215367565351553510130019 y[1] (numeric) = 2.9918498215367565351553510130024 absolute error = 5e-31 relative error = 1.6712068781018433299838626878846e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.724 y[1] (analytic) = 2.9923899918590089469702016192175 y[1] (numeric) = 2.992389991859008946970201619218 absolute error = 5e-31 relative error = 1.6709052007267850412472025329821e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.725 y[1] (analytic) = 2.9929301557276791553588734710178 y[1] (numeric) = 2.9929301557276791553588734710183 absolute error = 5e-31 relative error = 1.6706036358487412003525772120872e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.726 y[1] (analytic) = 2.9934703131448404338721051509059 y[1] (numeric) = 2.9934703131448404338721051509063 absolute error = 4e-31 relative error = 1.3362417467229641323811004615264e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.727 y[1] (analytic) = 2.9940104641125650571333557575925 y[1] (numeric) = 2.9940104641125650571333557575929 absolute error = 4e-31 relative error = 1.3360006746621754651711365498104e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.728 y[1] (analytic) = 2.9945506086329243014804282156519 y[1] (numeric) = 2.9945506086329243014804282156523 absolute error = 4e-31 relative error = 1.3357596924455000660697534100603e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.729 y[1] (analytic) = 2.9950907467079884456065775146799 y[1] (numeric) = 2.9950907467079884456065775146803 absolute error = 4e-31 relative error = 1.3355188000218501962858953185731e-29 % Correct digits = 30 h = 0.001 memory used=560.7MB, alloc=4.5MB, time=65.92 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.73 y[1] (analytic) = 2.9956308783398267712011043740506 y[1] (numeric) = 2.995630878339826771201104374051 absolute error = 4e-31 relative error = 1.3352779973401772331137023139153e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.731 y[1] (analytic) = 2.9961710035305075635894348288084 y[1] (numeric) = 2.9961710035305075635894348288088 absolute error = 4e-31 relative error = 1.3350372843494716322700845158915e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.732 y[1] (analytic) = 2.9967111222820981123726862316762 y[1] (numeric) = 2.9967111222820981123726862316766 absolute error = 4e-31 relative error = 1.3347966609987628902759765633078e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.733 y[1] (analytic) = 2.9972512345966647120667201656053 y[1] (numeric) = 2.9972512345966647120667201656057 absolute error = 4e-31 relative error = 1.3345561272371195068812129240075e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.734 y[1] (analytic) = 2.997791340476272662740682760736 y[1] (numeric) = 2.9977913404762726627406827607364 absolute error = 4e-31 relative error = 1.3343156830136489475329649226477e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.488 Order of pole = 8.571e-27 TOP MAIN SOLVE Loop x[1] = 4.735 y[1] (analytic) = 2.9983314399229862706550329090848 y[1] (numeric) = 2.9983314399229862706550329090852 absolute error = 4e-31 relative error = 1.3340753282774976058876804235077e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.736 y[1] (analytic) = 2.9988715329388688488990588697186 y[1] (numeric) = 2.9988715329388688488990588697191 absolute error = 5e-31 relative error = 1.6672938287223134579580839966079e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.737 y[1] (analytic) = 2.9994116195259827180278837566259 y[1] (numeric) = 2.9994116195259827180278837566263 absolute error = 4e-31 relative error = 1.3335948870639325667538610923483e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.738 y[1] (analytic) = 2.9999516996863892066989604009382 y[1] (numeric) = 2.9999516996863892066989604009386 absolute error = 4e-31 relative error = 1.3333548004850059608399202222269e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.739 y[1] (analytic) = 3.0004917734221486523080560786092 y[1] (numeric) = 3.0004917734221486523080560786096 absolute error = 4e-31 relative error = 1.3331148031903726811055864723702e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.74 y[1] (analytic) = 3.0010318407353204016247275941025 y[1] (numeric) = 3.0010318407353204016247275941029 absolute error = 4e-31 relative error = 1.3328748951293732014512557201514e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 39.74 Order of pole = 1.626e-25 TOP MAIN SOLVE Loop x[1] = 4.741 y[1] (analytic) = 3.001571901627962811427287210092 y[1] (numeric) = 3.0015719016279628114272872100924 absolute error = 4e-31 relative error = 1.3326350762513866999684982530217e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.742 y[1] (analytic) = 3.002111956102133249137259912628 y[1] (numeric) = 3.0021119561021332491372599126284 absolute error = 4e-31 relative error = 1.3323953465058310217548709604006e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.743 y[1] (analytic) = 3.0026520041598880934533325006742 y[1] (numeric) = 3.0026520041598880934533325006746 absolute error = 4e-31 relative error = 1.3321557058421626417717629654410e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.744 y[1] (analytic) = 3.003192045803282734984794988372 y[1] (numeric) = 3.0031920458032827349847949883724 absolute error = 4e-31 relative error = 1.3319161542098766277452164532037e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.745 y[1] (analytic) = 3.00373208103437157688447480784 y[1] (numeric) = 3.0037320810343715768844748078405 absolute error = 5e-31 relative error = 1.6645958644481332538870806775083e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.746 y[1] (analytic) = 3.0042721098552080354811642997736 y[1] (numeric) = 3.004272109855208035481164299774 absolute error = 4e-31 relative error = 1.3314373178376247099945281347910e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.403 Order of pole = 2.172e-27 TOP MAIN SOLVE Loop x[1] = 4.747 y[1] (analytic) = 3.0048121322678445409115419785572 y[1] (numeric) = 3.0048121322678445409115419785576 absolute error = 4e-31 relative error = 1.3311980329968415722536137772681e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.748 y[1] (analytic) = 3.0053521482743325377515880580644 y[1] (numeric) = 3.0053521482743325377515880580649 absolute error = 5e-31 relative error = 1.6636985462322578231715682992115e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 0.5943 Order of pole = 1.267e-27 TOP MAIN SOLVE Loop x[1] = 4.749 y[1] (analytic) = 3.0058921578767224856474947237687 y[1] (numeric) = 3.0058921578767224856474947237691 absolute error = 4e-31 relative error = 1.3307197297542062454071368261311e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.75 y[1] (analytic) = 3.0064321610770638599460716362486 y[1] (numeric) = 3.006432161077063859946071636249 absolute error = 4e-31 relative error = 1.3304807112517673804937533135968e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.751 y[1] (analytic) = 3.0069721578774051523246471506271 y[1] (numeric) = 3.0069721578774051523246471506275 absolute error = 4e-31 relative error = 1.3302417814282538456964278946053e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.752 y[1] (analytic) = 3.0075121482797938714204657359404 y[1] (numeric) = 3.0075121482797938714204657359409 absolute error = 5e-31 relative error = 1.6625036752918351505323145106058e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.753 y[1] (analytic) = 3.0080521322862765434595820778918 y[1] (numeric) = 3.0080521322862765434595820778922 absolute error = 4e-31 relative error = 1.3297641876172509448890742176414e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.754 y[1] (analytic) = 3.008592109898898712885252347903 y[1] (numeric) = 3.0085921098988987128852523479034 absolute error = 4e-31 relative error = 1.3295255235294812834168933828733e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.755 y[1] (analytic) = 3.009132081119704942985823120838 y[1] (numeric) = 3.0091320811197049429858231208384 absolute error = 4e-31 relative error = 1.3292869479200762878335842778985e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.756 y[1] (analytic) = 3.0096720459507388165221184232303 y[1] (numeric) = 3.0096720459507388165221184232307 absolute error = 4e-31 relative error = 1.3290484607389912608689124721193e-29 % Correct digits = 30 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.757 y[1] (analytic) = 3.0102120043940429363543253933097 y[1] (numeric) = 3.0102120043940429363543253933101 absolute error = 4e-31 relative error = 1.3288100619362196196123729990008e-29 % Correct digits = 30 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4 Order of pole = 6.065e-27 TOP MAIN SOLVE Loop x[1] = 4.758 y[1] (analytic) = 3.0107519564516589260683790335833 y[1] (numeric) = 3.0107519564516589260683790335836 absolute error = 3e-31 relative error = 9.9642881359634464425719896174026e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.759 y[1] (analytic) = 3.0112919021256274306018465361886 y[1] (numeric) = 3.0112919021256274306018465361889 absolute error = 3e-31 relative error = 9.9625014694933538655066026045480e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.76 y[1] (analytic) = 3.0118318414179881168693116607012 y[1] (numeric) = 3.0118318414179881168693116607015 absolute error = 3e-31 relative error = 9.9607154647371759757630762348752e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=564.6MB, alloc=4.5MB, time=66.38 TOP MAIN SOLVE Loop x[1] = 4.761 y[1] (analytic) = 3.01237177433077967438725964354 y[1] (numeric) = 3.0123717743307796743872596435402 absolute error = 2e-31 relative error = 6.6392867475473360651276119869770e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.762 y[1] (analytic) = 3.0129117008660398158984631175796 y[1] (numeric) = 3.0129117008660398158984631175799 absolute error = 3e-31 relative error = 9.9571454388712140476090792983351e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.129 Order of pole = 2.457e-27 TOP MAIN SOLVE Loop x[1] = 4.763 y[1] (analytic) = 3.0134516210258052779958695200453 y[1] (numeric) = 3.0134516210258052779958695200455 absolute error = 2e-31 relative error = 6.6369076113429772410659823009637e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.432 Order of pole = 5.390e-27 TOP MAIN SOLVE Loop x[1] = 4.764 y[1] (analytic) = 3.0139915348121118217459904662273 y[1] (numeric) = 3.0139915348121118217459904662275 absolute error = 2e-31 relative error = 6.6357187035851356824141408961840e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.765 y[1] (analytic) = 3.014531442226994233311793566024 y[1] (numeric) = 3.0145314422269942333117935660242 absolute error = 2e-31 relative error = 6.6345302357254364626254216758922e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.766 y[1] (analytic) = 3.0150713432724863245750971597848 y[1] (numeric) = 3.0150713432724863245750971597851 absolute error = 3e-31 relative error = 9.9500133112733304378522090694748e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.767 y[1] (analytic) = 3.0156112379506209337584684493952 y[1] (numeric) = 3.0156112379506209337584684493955 absolute error = 3e-31 relative error = 9.9482319280610249547564010260627e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.654 Order of pole = 1.264e-27 TOP MAIN SOLVE Loop x[1] = 4.768 y[1] (analytic) = 3.0161511262634299260466255000118 y[1] (numeric) = 3.016151126263429926046625500012 absolute error = 2e-31 relative error = 6.6309674690528768716643614169497e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.769 y[1] (analytic) = 3.0166910082129441942073435873278 y[1] (numeric) = 3.016691008212944194207343587328 absolute error = 2e-31 relative error = 6.6297807583043741013635572598515e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.77 y[1] (analytic) = 3.0172308838011936592118663647162 y[1] (numeric) = 3.0172308838011936592118663647165 absolute error = 3e-31 relative error = 9.9428917293214044674875422989685e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.771 y[1] (analytic) = 3.0177707530302072708548223240693 y[1] (numeric) = 3.0177707530302072708548223240696 absolute error = 3e-31 relative error = 9.9411129788027692863159361300381e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.772 y[1] (analytic) = 3.0183106159020130083736470236247 y[1] (numeric) = 3.018310615902013008373647023625 absolute error = 3e-31 relative error = 9.9393348855298614250376186432990e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.773 y[1] (analytic) = 3.0188504724186378810675115555402 y[1] (numeric) = 3.0188504724186378810675115555405 absolute error = 3e-31 relative error = 9.9375574491321682150902649436815e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.774 y[1] (analytic) = 3.0193903225821079289157577254509 y[1] (numeric) = 3.0193903225821079289157577254512 absolute error = 3e-31 relative error = 9.9357806692394582340678899895084e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.775 y[1] (analytic) = 3.0199301663944482231958404157164 y[1] (numeric) = 3.0199301663944482231958404157167 absolute error = 3e-31 relative error = 9.9340045454817810372557168631772e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.776 y[1] (analytic) = 3.0204700038576828671007776035393 y[1] (numeric) = 3.0204700038576828671007776035395 absolute error = 2e-31 relative error = 6.6214860516596445929824877062799e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.777 y[1] (analytic) = 3.0210098349738349963561085046102 y[1] (numeric) = 3.0210098349738349963561085046105 absolute error = 3e-31 relative error = 9.9304542648931264972285091868962e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.778 y[1] (analytic) = 3.0215496597449267798363603124119 y[1] (numeric) = 3.0215496597449267798363603124122 absolute error = 3e-31 relative error = 9.9286801073236507411728971178422e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.779 y[1] (analytic) = 3.0220894781729794201810240027866 y[1] (numeric) = 3.0220894781729794201810240027869 absolute error = 3e-31 relative error = 9.9269066044122104088731412583727e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.78 y[1] (analytic) = 3.0226292902600131544100396728523 y[1] (numeric) = 3.0226292902600131544100396728526 absolute error = 3e-31 relative error = 9.9251337557902559278830422487848e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.781 y[1] (analytic) = 3.0231690960080472545387918828274 y[1] (numeric) = 3.0231690960080472545387918828277 absolute error = 3e-31 relative error = 9.9233615610895170991247290388713e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.782 y[1] (analytic) = 3.0237088954191000281926154688018 y[1] (numeric) = 3.023708895419100028192615468802 absolute error = 2e-31 relative error = 6.6143933466280018870504252785395e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.783 y[1] (analytic) = 3.024248688495188819220812293971 y[1] (numeric) = 3.0242486884951888192208122939713 absolute error = 3e-31 relative error = 9.9198191319800008712612857116436e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.784 y[1] (analytic) = 3.0247884752383300083101794053316 y[1] (numeric) = 3.0247884752383300083101794053319 absolute error = 3e-31 relative error = 9.9180488968360775455534264937350e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.785 y[1] (analytic) = 3.0253282556505390135980490623098 y[1] (numeric) = 3.0253282556505390135980490623101 absolute error = 3e-31 relative error = 9.9162793141430774877731817848296e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.786 y[1] (analytic) = 3.0258680297338302912848411032832 y[1] (numeric) = 3.0258680297338302912848411032834 absolute error = 2e-31 relative error = 6.6096735890227489180658232330319e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.787 y[1] (analytic) = 3.0264077974902173362461281154308 y[1] (numeric) = 3.026407797490217336246128115431 absolute error = 2e-31 relative error = 6.6084947364284104485181202167982e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.788 y[1] (analytic) = 3.0269475589217126826442138728324 y[1] (numeric) = 3.0269475589217126826442138728327 absolute error = 3e-31 relative error = 9.9109744771022323496401210467846e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.789 y[1] (analytic) = 3.0274873140303279045392255072174 y[1] (numeric) = 3.0274873140303279045392255072176 absolute error = 2e-31 relative error = 6.6061383336979524226150697060175e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.79 y[1] (analytic) = 3.0280270628180736164997198752485 y[1] (numeric) = 3.0280270628180736164997198752487 absolute error = 2e-31 relative error = 6.6049607830739578262566616213101e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.791 y[1] (analytic) = 3.0285668052869594742128045857104 y[1] (numeric) = 3.0285668052869594742128045857106 absolute error = 2e-31 relative error = 6.6037836659525104024915707476915e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.792 y[1] (analytic) = 3.0291065414389941750937741494542 y[1] (numeric) = 3.0291065414389941750937741494545 memory used=568.4MB, alloc=4.5MB, time=66.82 absolute error = 3e-31 relative error = 9.9039104731352006253659937401057e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.793 y[1] (analytic) = 3.0296462712761854588952617144381 y[1] (numeric) = 3.0296462712761854588952617144384 absolute error = 3e-31 relative error = 9.9021460968653034003616627245412e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.794 y[1] (analytic) = 3.0301859948005401083159068476863 y[1] (numeric) = 3.0301859948005401083159068476866 absolute error = 3e-31 relative error = 9.9003823697544114598491240109460e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.795 y[1] (analytic) = 3.0307257120140639496085398254785 y[1] (numeric) = 3.0307257120140639496085398254788 absolute error = 3e-31 relative error = 9.8986192914381380076175939455375e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.796 y[1] (analytic) = 3.031265422918761853187882892566 y[1] (numeric) = 3.0312654229187618531878828925663 absolute error = 3e-31 relative error = 9.8968568615523716580517007805737e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.797 y[1] (analytic) = 3.0318051275166377342377689507008 y[1] (numeric) = 3.0318051275166377342377689507011 absolute error = 3e-31 relative error = 9.8950950797332761743625432224847e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.798 y[1] (analytic) = 3.0323448258096945533178781362498 y[1] (numeric) = 3.0323448258096945533178781362501 absolute error = 3e-31 relative error = 9.8933339456172902071184491165995e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.799 y[1] (analytic) = 3.0328845177999343169699927461586 y[1] (numeric) = 3.0328845177999343169699927461589 absolute error = 3e-31 relative error = 9.8915734588411270330750329690041e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.8 y[1] (analytic) = 3.0334242034893580783237709710155 y[1] (numeric) = 3.0334242034893580783237709710158 absolute error = 3e-31 relative error = 9.8898136190417742943041516211671e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.801 y[1] (analytic) = 3.0339638828799659377020398934592 y[1] (numeric) = 3.0339638828799659377020398934594 absolute error = 2e-31 relative error = 6.5920362839043291584142386713252e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.802 y[1] (analytic) = 3.0345035559737570432256082096633 y[1] (numeric) = 3.0345035559737570432256082096636 absolute error = 3e-31 relative error = 9.8862958789228209543114535348982e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.803 y[1] (analytic) = 3.0350432227727295914175991311238 y[1] (numeric) = 3.035043222772729591417599131124 absolute error = 2e-31 relative error = 6.5896919852523767467678268330366e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.804 y[1] (analytic) = 3.0355828832788808278073039234647 y[1] (numeric) = 3.0355828832788808278073039234649 absolute error = 2e-31 relative error = 6.5885204815745391571550496923480e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.805 y[1] (analytic) = 3.0361225374942070475335565384752 y[1] (numeric) = 3.0361225374942070475335565384753 absolute error = 1e-31 relative error = 3.2936747040036357890249415863781e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.806 y[1] (analytic) = 3.0366621854207035959476297950791 y[1] (numeric) = 3.0366621854207035959476297950793 absolute error = 2e-31 relative error = 6.5861787643096595910292238463300e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.807 y[1] (analytic) = 3.0372018270603648692156535644376 y[1] (numeric) = 3.0372018270603648692156535644378 absolute error = 2e-31 relative error = 6.5850085502409704760396693035011e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.808 y[1] (analytic) = 3.0377414624151843149205554138752 y[1] (numeric) = 3.0377414624151843149205554138754 absolute error = 2e-31 relative error = 6.5838387655606530390680446336365e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.809 y[1] (analytic) = 3.0382810914871544326635241638195 y[1] (numeric) = 3.0382810914871544326635241638198 absolute error = 3e-31 relative error = 9.8740041150425061600132128564066e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.81 y[1] (analytic) = 3.0388207142782667746649968114388 y[1] (numeric) = 3.038820714278266774664996811439 absolute error = 2e-31 relative error = 6.5815004834038350207280762446479e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.811 y[1] (analytic) = 3.0393603307905119463651692741569 y[1] (numeric) = 3.0393603307905119463651692741571 absolute error = 2e-31 relative error = 6.5803319854471381333239958749011e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.639 Order of pole = 8.44e-28 TOP MAIN SOLVE Loop x[1] = 4.812 y[1] (analytic) = 3.0398999410258796070240314057268 y[1] (numeric) = 3.039899941025879607024031405727 absolute error = 2e-31 relative error = 6.5791639159184199685832171571944e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 5.32 Order of pole = 5.373e-27 TOP MAIN SOLVE Loop x[1] = 4.813 y[1] (analytic) = 3.040439544986358470320926737037 y[1] (numeric) = 3.0404395449863584703209267370372 absolute error = 2e-31 relative error = 6.5779962745780343846331894794366e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.814 y[1] (analytic) = 3.0409791426739363049536373933272 y[1] (numeric) = 3.0409791426739363049536373933274 absolute error = 2e-31 relative error = 6.5768290611865157357900285157942e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.815 y[1] (analytic) = 3.0415187340905999352369946389877 y[1] (numeric) = 3.0415187340905999352369946389879 absolute error = 2e-31 relative error = 6.5756622755045787016016901411413e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.816 y[1] (analytic) = 3.0420583192383352417010155006164 y[1] (numeric) = 3.0420583192383352417010155006166 absolute error = 2e-31 relative error = 6.5744959172931181160861910088185e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.817 y[1] (analytic) = 3.0425978981191271616885659185094 y[1] (numeric) = 3.0425978981191271616885659185096 absolute error = 2e-31 relative error = 6.5733299863132087971646155326117e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.818 y[1] (analytic) = 3.0431374707349596899525508762603 y[1] (numeric) = 3.0431374707349596899525508762605 absolute error = 2e-31 relative error = 6.5721644823261053762886494113902e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.706 Order of pole = 5.15e-28 TOP MAIN SOLVE Loop x[1] = 4.819 y[1] (analytic) = 3.043677037087815879252631957647 y[1] (numeric) = 3.0436770370878158792526319576472 absolute error = 2e-31 relative error = 6.5709994050932421282623802316845e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.82 y[1] (analytic) = 3.0442165971796778409514727794864 y[1] (numeric) = 3.0442165971796778409514727794866 absolute error = 2e-31 relative error = 6.5698347543762328012581060796378e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.821 y[1] (analytic) = 3.04475615101252674561051274864 y[1] (numeric) = 3.0447561510125267456105127486402 absolute error = 2e-31 relative error = 6.5686705299368704470258934892516e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.822 y[1] (analytic) = 3.0452956985883428235852695908586 y[1] (numeric) = 3.0452956985883428235852695908588 absolute error = 2e-31 relative error = 6.5675067315371272512966264486327e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 1.041 Order of pole = 5.902e-27 TOP MAIN SOLVE Loop x[1] = 4.823 y[1] (analytic) = 3.0458352399091053656201710986569 y[1] (numeric) = 3.0458352399091053656201710986571 absolute error = 2e-31 relative error = 6.5663433589391543643782885800767e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=572.2MB, alloc=4.5MB, time=67.27 TOP MAIN SOLVE Loop x[1] = 4.824 y[1] (analytic) = 3.0463747749767927234429165449148 y[1] (numeric) = 3.0463747749767927234429165449151 absolute error = 3e-31 relative error = 9.8477706178579225979178315048907e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.825 y[1] (analytic) = 3.0469143037933823103583682084082 y[1] (numeric) = 3.0469143037933823103583682084084 absolute error = 2e-31 relative error = 6.5640178901980179260200987835801e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.826 y[1] (analytic) = 3.0474538263608506018419734569762 y[1] (numeric) = 3.0474538263608506018419734569764 absolute error = 2e-31 relative error = 6.5628557935800499761483692597677e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.827 y[1] (analytic) = 3.0479933426811731361327178335424 y[1] (numeric) = 3.0479933426811731361327178335425 absolute error = 1e-31 relative error = 3.2808470609071216003824479681644e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.198 Order of pole = 8.64e-28 TOP MAIN SOLVE Loop x[1] = 4.828 y[1] (analytic) = 3.0485328527563245148256095897097 y[1] (numeric) = 3.0485328527563245148256095897098 absolute error = 1e-31 relative error = 3.2802664373318205193762760085498e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 13.39 Order of pole = 2.496e-26 TOP MAIN SOLVE Loop x[1] = 4.829 y[1] (analytic) = 3.0490723565882784034636961111631 y[1] (numeric) = 3.0490723565882784034636961111632 absolute error = 1e-31 relative error = 3.2796860259457324405962540231412e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.83 y[1] (analytic) = 3.0496118541790075321296126786166 y[1] (numeric) = 3.0496118541790075321296126786167 absolute error = 1e-31 relative error = 3.2791058266305569516529792563701e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.831 y[1] (analytic) = 3.0501513455304836960366640075552 y[1] (numeric) = 3.0501513455304836960366640075554 absolute error = 2e-31 relative error = 6.5570516785361648965870326620502e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.832 y[1] (analytic) = 3.0506908306446777561194390095306 y[1] (numeric) = 3.0506908306446777561194390095308 absolute error = 2e-31 relative error = 6.5558921274803721011266351489000e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.833 y[1] (analytic) = 3.0512303095235596396239592172785 y[1] (numeric) = 3.0512303095235596396239592172787 absolute error = 2e-31 relative error = 6.5547329998576670381269625498058e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.834 y[1] (analytic) = 3.0517697821690983406973613154397 y[1] (numeric) = 3.0517697821690983406973613154399 absolute error = 2e-31 relative error = 6.5535742954321583426064421428738e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.835 y[1] (analytic) = 3.0523092485832619209771142181769 y[1] (numeric) = 3.0523092485832619209771142181771 absolute error = 2e-31 relative error = 6.5524160139681315962948397474023e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.836 y[1] (analytic) = 3.0528487087680175101797711344911 y[1] (numeric) = 3.0528487087680175101797711344913 absolute error = 2e-31 relative error = 6.5512581552300491607182838015364e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 8.207 Order of pole = 6.355e-27 TOP MAIN SOLVE Loop x[1] = 4.837 y[1] (analytic) = 3.0533881627253313066892570615568 y[1] (numeric) = 3.0533881627253313066892570615571 absolute error = 3e-31 relative error = 9.8251510784738250157109298614090e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.838 y[1] (analytic) = 3.0539276104571685781446921459066 y[1] (numeric) = 3.0539276104571685781446921459068 absolute error = 2e-31 relative error = 6.5489437049904495666941771255400e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.839 y[1] (analytic) = 3.0544670519654936620277513518103 y[1] (numeric) = 3.0544670519654936620277513518105 absolute error = 2e-31 relative error = 6.5477871130187395306996943448542e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.84 y[1] (analytic) = 3.0550064872522699662495608757116 y[1] (numeric) = 3.0550064872522699662495608757117 absolute error = 1e-31 relative error = 3.2733154714162938589209110575735e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.841 y[1] (analytic) = 3.055545916319459969737131745095 y[1] (numeric) = 3.0555459163194599697371317450951 absolute error = 1e-31 relative error = 3.2727375970986689457666411819212e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.842 y[1] (analytic) = 3.0560853391690252230193310396784 y[1] (numeric) = 3.0560853391690252230193310396785 absolute error = 1e-31 relative error = 3.2721599334392547987337177390199e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.843 y[1] (analytic) = 3.0566247558029263488123911723379 y[1] (numeric) = 3.056624755802926348812391172338 absolute error = 1e-31 relative error = 3.2715824803208989990128356374114e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.844 y[1] (analytic) = 3.0571641662231230426049576666926 y[1] (numeric) = 3.0571641662231230426049576666927 absolute error = 1e-31 relative error = 3.2710052376265368534363537156030e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.845 y[1] (analytic) = 3.0577035704315740732426758677928 y[1] (numeric) = 3.0577035704315740732426758677928 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.846 y[1] (analytic) = 3.058242968430237283512317021874 y[1] (numeric) = 3.058242968430237283512317021874 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.847 y[1] (analytic) = 3.0587823602210695907254441606602 y[1] (numeric) = 3.0587823602210695907254441606603 absolute error = 1e-31 relative error = 3.2692747709180795603987071299310e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.848 y[1] (analytic) = 3.0593217458060269873016182252161 y[1] (numeric) = 3.0593217458060269873016182252162 absolute error = 1e-31 relative error = 3.2686983687507967232253570513486e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.849 y[1] (analytic) = 3.059861125187064541351144863871 y[1] (numeric) = 3.0598611251870645413511448638711 absolute error = 1e-31 relative error = 3.2681221764234970709619487002214e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.85 y[1] (analytic) = 3.060400498366136397257362338258 y[1] (numeric) = 3.0604004983661363972573623382581 absolute error = 1e-31 relative error = 3.2675461938196405327871796139940e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.851 y[1] (analytic) = 3.060939865345195776258470971032 y[1] (numeric) = 3.0609398653451957762584709710321 absolute error = 1e-31 relative error = 3.2669704208227741872252099565390e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.852 y[1] (analytic) = 3.0614792261261949770289045683536 y[1] (numeric) = 3.0614792261261949770289045683537 absolute error = 1e-31 relative error = 3.2663948573165321801904685556661e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.853 y[1] (analytic) = 3.0620185807110853762602442497484 y[1] (numeric) = 3.0620185807110853762602442497485 absolute error = 1e-31 relative error = 3.2658195031846356431252972409675e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.854 y[1] (analytic) = 3.0625579291018174292416751174741 y[1] (numeric) = 3.0625579291018174292416751174741 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.855 y[1] (analytic) = 3.0630972713003406704399861970528 y[1] (numeric) = 3.0630972713003406704399861970528 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 memory used=576.0MB, alloc=4.5MB, time=67.72 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.856 y[1] (analytic) = 3.0636366073086037140791140801495 y[1] (numeric) = 3.0636366073086037140791140801496 absolute error = 1e-31 relative error = 3.2640946958735332325748943894703e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.857 y[1] (analytic) = 3.0641759371285542547192307005034 y[1] (numeric) = 3.0641759371285542547192307005035 absolute error = 1e-31 relative error = 3.2635201780779667403758532707478e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.858 y[1] (analytic) = 3.0647152607621390678353756731436 y[1] (numeric) = 3.0647152607621390678353756731437 absolute error = 1e-31 relative error = 3.2629458690766532995775371644041e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.859 y[1] (analytic) = 3.0652545782113040103956336266495 y[1] (numeric) = 3.0652545782113040103956336266495 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.86 y[1] (analytic) = 3.0657938894779940214388569577394 y[1] (numeric) = 3.0657938894779940214388569577393 absolute error = 1e-31 relative error = 3.2617978769938373099989532984927e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.861 y[1] (analytic) = 3.0663331945641531226519344370022 y[1] (numeric) = 3.0663331945641531226519344370022 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.862 y[1] (analytic) = 3.066872493471724418946606094113 y[1] (numeric) = 3.066872493471724418946606094113 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.863 y[1] (analytic) = 3.0674117862026500990358248104016 y[1] (numeric) = 3.0674117862026500990358248104016 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.864 y[1] (analytic) = 3.0679510727588714360096650461747 y[1] (numeric) = 3.0679510727588714360096650461747 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.865 y[1] (analytic) = 3.0684903531423287879107791297207 y[1] (numeric) = 3.0684903531423287879107791297207 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.866 y[1] (analytic) = 3.0690296273549615983094015344564 y[1] (numeric) = 3.0690296273549615983094015344564 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.867 y[1] (analytic) = 3.0695688953987083968779015702068 y[1] (numeric) = 3.0695688953987083968779015702068 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.868 y[1] (analytic) = 3.0701081572755067999648849141411 y[1] (numeric) = 3.0701081572755067999648849141411 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.869 y[1] (analytic) = 3.070647412987293511168844406419 y[1] (numeric) = 3.0706474129872935111688444064189 absolute error = 1e-31 relative error = 3.2566422174376099519840706559555e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.87 y[1] (analytic) = 3.0711866625360043219113605351353 y[1] (numeric) = 3.0711866625360043219113605351352 absolute error = 1e-31 relative error = 3.2560704049628137485354375766567e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.871 y[1] (analytic) = 3.071725905923574112009852034685 y[1] (numeric) = 3.0717259059235741120098520346849 absolute error = 1e-31 relative error = 3.2554987997841251356182567822835e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.872 y[1] (analytic) = 3.0722651431519368502498770212022 y[1] (numeric) = 3.0722651431519368502498770212021 absolute error = 1e-31 relative error = 3.2549274017869025384377386381280e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.766 Order of pole = 7.424e-27 TOP MAIN SOLVE Loop x[1] = 4.873 y[1] (analytic) = 3.0728043742230255949569850882646 y[1] (numeric) = 3.0728043742230255949569850882645 absolute error = 1e-31 relative error = 3.2543562108565897497878755156147e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.874 y[1] (analytic) = 3.0733435991387724945681207855878 y[1] (numeric) = 3.0733435991387724945681207855876 absolute error = 2e-31 relative error = 6.5075704537574317002211256800867e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.93 Order of pole = 1.897e-26 TOP MAIN SOLVE Loop x[1] = 4.875 y[1] (analytic) = 3.0738828179011087882025789029698 y[1] (numeric) = 3.0738828179011087882025789029697 absolute error = 1e-31 relative error = 3.2532144497388951276448950853793e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.593 Order of pole = 9.44e-28 TOP MAIN SOLVE Loop x[1] = 4.876 y[1] (analytic) = 3.0744220305119648062325119812849 y[1] (numeric) = 3.0744220305119648062325119812848 absolute error = 1e-31 relative error = 3.2526438793228269986665177491786e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.877 y[1] (analytic) = 3.0749612369732699708529904718583 y[1] (numeric) = 3.0749612369732699708529904718582 absolute error = 1e-31 relative error = 3.2520735155162959278169165204086e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.611 Order of pole = 3.047e-27 TOP MAIN SOLVE Loop x[1] = 4.878 y[1] (analytic) = 3.0755004372869527966516159650963 y[1] (numeric) = 3.0755004372869527966516159650962 absolute error = 1e-31 relative error = 3.2515033582051713485225250322771e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.879 y[1] (analytic) = 3.0760396314549408911776879087794 y[1] (numeric) = 3.0760396314549408911776879087793 absolute error = 1e-31 relative error = 3.2509334072754075835035327712437e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.88 y[1] (analytic) = 3.0765788194791609555109242359687 y[1] (numeric) = 3.0765788194791609555109242359686 absolute error = 1e-31 relative error = 3.2503636626130437653722748921345e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.881 y[1] (analytic) = 3.0771180013615387848297363220124 y[1] (numeric) = 3.0771180013615387848297363220123 absolute error = 1e-31 relative error = 3.2497941241042037573210858677298e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 3.199 Order of pole = 3.536e-27 TOP MAIN SOLVE Loop x[1] = 4.882 y[1] (analytic) = 3.0776571771039992689790586896805 y[1] (numeric) = 3.0776571771039992689790586896805 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.923 Order of pole = 3.993e-27 TOP MAIN SOLVE Loop x[1] = 4.883 y[1] (analytic) = 3.0781963467084663930377338809964 y[1] (numeric) = 3.0781963467084663930377338809964 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.884 y[1] (analytic) = 3.0787355101768632378854529138728 y[1] (numeric) = 3.0787355101768632378854529138729 absolute error = 1e-31 relative error = 3.2480867443613345212169378611648e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.885 y[1] (analytic) = 3.0792746675111119807692517412055 y[1] (numeric) = 3.0792746675111119807692517412056 absolute error = 1e-31 relative error = 3.2475180293295202260843111551302e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.886 y[1] (analytic) = 3.0798138187131338958695641296148 y[1] (numeric) = 3.0798138187131338958695641296149 absolute error = 1e-31 relative error = 3.2469495198831172460159219340338e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.887 y[1] (analytic) = 3.0803529637848493548658313745727 y[1] (numeric) = 3.0803529637848493548658313745728 memory used=579.8MB, alloc=4.5MB, time=68.17 absolute error = 1e-31 relative error = 3.2463812159087561671241697533776e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.888 y[1] (analytic) = 3.0808921027281778275016692681937 y[1] (numeric) = 3.0808921027281778275016692681938 absolute error = 1e-31 relative error = 3.2458131172931517534115357159540e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.889 y[1] (analytic) = 3.0814312355450378821495927355119 y[1] (numeric) = 3.081431235545037882149592735512 absolute error = 1e-31 relative error = 3.2452452239231028681699175323025e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.89 y[1] (analytic) = 3.0819703622373471863752985546119 y[1] (numeric) = 3.081970362237347186375298554612 absolute error = 1e-31 relative error = 3.2446775356854923954683737512161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.891 y[1] (analytic) = 3.0825094828070225075015065755262 y[1] (numeric) = 3.0825094828070225075015065755263 absolute error = 1e-31 relative error = 3.2441100524672871617291608565470e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.892 y[1] (analytic) = 3.0830485972559797131713598523562 y[1] (numeric) = 3.0830485972559797131713598523563 absolute error = 1e-31 relative error = 3.2435427741555378573919471017063e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.893 y[1] (analytic) = 3.0835877055861337719113841026214 y[1] (numeric) = 3.0835877055861337719113841026215 absolute error = 1e-31 relative error = 3.2429757006373789586660871280950e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.894 y[1] (analytic) = 3.0841268077993987536940069073872 y[1] (numeric) = 3.0841268077993987536940069073873 absolute error = 1e-31 relative error = 3.2424088318000286493708415882545e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 2.934 Order of pole = 1.099e-26 TOP MAIN SOLVE Loop x[1] = 4.895 y[1] (analytic) = 3.0846659038976878304996370652694 y[1] (numeric) = 3.0846659038976878304996370652695 absolute error = 1e-31 relative error = 3.2418421675307887428634261687752e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.896 y[1] (analytic) = 3.0852049938829132768783045129617 y[1] (numeric) = 3.0852049938829132768783045129617 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.897 y[1] (analytic) = 3.0857440777569864705108612244795 y[1] (numeric) = 3.0857440777569864705108612244795 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.898 y[1] (analytic) = 3.086283155521817892769743500865 y[1] (numeric) = 3.086283155521817892769743500865 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.899 y[1] (analytic) = 3.0868222271793171292792960616442 y[1] (numeric) = 3.0868222271793171292792960616442 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.9 y[1] (analytic) = 3.0873612927313928704756583488807 y[1] (numeric) = 3.0873612927313928704756583488808 absolute error = 1e-31 relative error = 3.2390119107676529686434895338511e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.901 y[1] (analytic) = 3.0879003521799529121662134542194 y[1] (numeric) = 3.0879003521799529121662134542195 absolute error = 1e-31 relative error = 3.2384464715450869985039799240859e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.902 y[1] (analytic) = 3.0884394055269041560886000788637 y[1] (numeric) = 3.0884394055269041560886000788638 absolute error = 1e-31 relative error = 3.2378812361040792120625940795302e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.903 y[1] (analytic) = 3.0889784527741526104692879359854 y[1] (numeric) = 3.0889784527741526104692879359854 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.904 y[1] (analytic) = 3.0895174939236033905817170046133 y[1] (numeric) = 3.0895174939236033905817170046133 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.905 y[1] (analytic) = 3.0900565289771607193040010436056 y[1] (numeric) = 3.0900565289771607193040010436057 absolute error = 1e-31 relative error = 3.2361867513505000275672196448374e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.906 y[1] (analytic) = 3.0905955579367279276761957738588 y[1] (numeric) = 3.0905955579367279276761957738589 absolute error = 1e-31 relative error = 3.2356223299162343939636814559763e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.907 y[1] (analytic) = 3.0911345808042074554571321364638 y[1] (numeric) = 3.0911345808042074554571321364639 absolute error = 1e-31 relative error = 3.2350581117041957285892140011910e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.908 y[1] (analytic) = 3.0916735975815008516808150340736 y[1] (numeric) = 3.0916735975815008516808150340738 absolute error = 2e-31 relative error = 6.4689881932055319279999163342408e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.909 y[1] (analytic) = 3.0922126082705087752123879623014 y[1] (numeric) = 3.0922126082705087752123879623015 absolute error = 1e-31 relative error = 3.2339302845004095784404565931412e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.91 y[1] (analytic) = 3.0927516128731309953036639375228 y[1] (numeric) = 3.0927516128731309953036639375229 absolute error = 1e-31 relative error = 3.2333666752856735190753886882049e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.911 y[1] (analytic) = 3.0932906113912663921482231270158 y[1] (numeric) = 3.093290611391266392148223127016 absolute error = 2e-31 relative error = 6.4656065376943742506146176542329e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.912 y[1] (analytic) = 3.0938296038268129574360775869243 y[1] (numeric) = 3.0938296038268129574360775869245 absolute error = 2e-31 relative error = 6.4644801301473241043605500777030e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.94 Order of pole = 5.682e-27 TOP MAIN SOLVE Loop x[1] = 4.913 y[1] (analytic) = 3.0943685901816677949079035130911 y[1] (numeric) = 3.0943685901816677949079035130913 absolute error = 2e-31 relative error = 6.4633541277077843877385113370590e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.914 y[1] (analytic) = 3.0949075704577271209088414093642 y[1] (numeric) = 3.0949075704577271209088414093644 absolute error = 2e-31 relative error = 6.4622285301535072145104033267865e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.915 y[1] (analytic) = 3.0954465446568862649418645775376 y[1] (numeric) = 3.0954465446568862649418645775378 absolute error = 2e-31 relative error = 6.4611033372624088711713446031967e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.916 y[1] (analytic) = 3.0959855127810396702207163326468 y[1] (numeric) = 3.095985512781039670220716332647 absolute error = 2e-31 relative error = 6.4599785488125696644418047015594e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.917 y[1] (analytic) = 3.0965244748320808942224163469007 y[1] (numeric) = 3.0965244748320808942224163469009 absolute error = 2e-31 relative error = 6.4588541645822337689303976224864e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.918 y[1] (analytic) = 3.0970634308119026092393365250887 y[1] (numeric) = 3.0970634308119026092393365250889 absolute error = 2e-31 relative error = 6.4577301843498090749671111324638e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop memory used=583.6MB, alloc=4.5MB, time=68.62 x[1] = 4.919 y[1] (analytic) = 3.0976023807223966029308468138652 y[1] (numeric) = 3.0976023807223966029308468138655 absolute error = 3e-31 relative error = 9.6849099118408005549101232870840e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.92 y[1] (analytic) = 3.0981413245654537788745313468734 y[1] (numeric) = 3.0981413245654537788745313468736 absolute error = 2e-31 relative error = 6.4554834349931425198023624873743e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.921 y[1] (analytic) = 3.0986802623429641571169753272316 y[1] (numeric) = 3.0986802623429641571169753272318 absolute error = 2e-31 relative error = 6.4543606654265336507484517259077e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.922 y[1] (analytic) = 3.0992191940568168747241230484704 y[1] (numeric) = 3.0992191940568168747241230484707 absolute error = 3e-31 relative error = 9.6798574484596524965905649801161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.923 y[1] (analytic) = 3.0997581197089001863312074545679 y[1] (numeric) = 3.0997581197089001863312074545681 absolute error = 2e-31 relative error = 6.4521163354120707531230941276028e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 14.88 Order of pole = 1.340e-26 TOP MAIN SOLVE Loop x[1] = 4.924 y[1] (analytic) = 3.1002970393011014646922516392958 y[1] (numeric) = 3.100297039301101464692251639296 absolute error = 2e-31 relative error = 6.4509947745228279156089968789078e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.925 y[1] (analytic) = 3.1008359528353072012291426846547 y[1] (numeric) = 3.1008359528353072012291426846549 absolute error = 2e-31 relative error = 6.4498736160849228058313009383886e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.926 y[1] (analytic) = 3.1013748603134030065802782377368 y[1] (numeric) = 3.101374860313403006580278237737 absolute error = 2e-31 relative error = 6.4487528598780675822660940384086e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.927 y[1] (analytic) = 3.1019137617372736111487862249246 y[1] (numeric) = 3.1019137617372736111487862249248 absolute error = 2e-31 relative error = 6.4476325056821367572428246223478e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.928 y[1] (analytic) = 3.1024526571088028656503181018953 y[1] (numeric) = 3.1024526571088028656503181018955 absolute error = 2e-31 relative error = 6.4465125532771670464696780959675e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.929 y[1] (analytic) = 3.1029915464298737416604160374698 y[1] (numeric) = 3.1029915464298737416604160374699 absolute error = 1e-31 relative error = 3.2226965012216786093634769743548e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.93 y[1] (analytic) = 3.1035304297023683321614544289094 y[1] (numeric) = 3.1035304297023683321614544289095 absolute error = 1e-31 relative error = 3.2221369264805339728641121841816e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.051 Order of pole = 3.211e-27 TOP MAIN SOLVE Loop x[1] = 4.931 y[1] (analytic) = 3.1040693069281678520891561458335 y[1] (numeric) = 3.1040693069281678520891561458336 absolute error = 1e-31 relative error = 3.2215775523054108260745276502269e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.932 y[1] (analytic) = 3.1046081781091526388786838994956 y[1] (numeric) = 3.1046081781091526388786838994957 absolute error = 1e-31 relative error = 3.2210183785866511829115356155439e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 9.273 Order of pole = 3.540e-27 TOP MAIN SOLVE Loop x[1] = 4.933 y[1] (analytic) = 3.105147043247202153010307133726 y[1] (numeric) = 3.1051470432472021530103071337261 absolute error = 1e-31 relative error = 3.2204594052146777840525726494017e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.934 y[1] (analytic) = 3.1056859023441949785546448334179 y[1] (numeric) = 3.105685902344194978554644833418 absolute error = 1e-31 relative error = 3.2199006320799940222007483336241e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.935 y[1] (analytic) = 3.1062247554020088237174846460017 y[1] (numeric) = 3.1062247554020088237174846460018 absolute error = 1e-31 relative error = 3.2193420590731838674332387081173e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.936 y[1] (analytic) = 3.1067636024225205213841787109231 y[1] (numeric) = 3.1067636024225205213841787109232 absolute error = 1e-31 relative error = 3.2187836860849117926329157669452e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 7.877 Order of pole = 3.868e-27 TOP MAIN SOLVE Loop x[1] = 4.937 y[1] (analytic) = 3.1073024434076060296636165917115 y[1] (numeric) = 3.1073024434076060296636165917116 absolute error = 1e-31 relative error = 3.2182255130059226990031044586278e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.938 y[1] (analytic) = 3.1078412783591404324317757047948 y[1] (numeric) = 3.1078412783591404324317757047949 absolute error = 1e-31 relative error = 3.2176675397270418416653588063776e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.939 y[1] (analytic) = 3.1083801072789979398748496387893 y[1] (numeric) = 3.1083801072789979398748496387894 absolute error = 1e-31 relative error = 3.2171097661391747553401489257591e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.94 y[1] (analytic) = 3.1089189301690518890319547575648 y[1] (numeric) = 3.1089189301690518890319547575649 absolute error = 1e-31 relative error = 3.2165521921333071801103508787509e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.941 y[1] (analytic) = 3.1094577470311747443374154799579 y[1] (numeric) = 3.109457747031174744337415479958 absolute error = 1e-31 relative error = 3.2159948176005049872674314644187e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.942 y[1] (analytic) = 3.109996557867238098162628628579 y[1] (numeric) = 3.1099965578672380981626286285791 absolute error = 1e-31 relative error = 3.2154376424319141052402202073570e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.943 y[1] (analytic) = 3.110535362679112671357507239733 y[1] (numeric) = 3.1105353626791126713575072397331 absolute error = 1e-31 relative error = 3.2148806665187604456061609657460e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.944 y[1] (analytic) = 3.111074161468668313791504226047 y[1] (numeric) = 3.1110741614686683137915042260471 absolute error = 1e-31 relative error = 3.2143238897523498291849357412818e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.945 y[1] (analytic) = 3.1116129542377740048942162829731 y[1] (numeric) = 3.1116129542377740048942162829732 absolute error = 1e-31 relative error = 3.2137673120240679122143534333821e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.946 y[1] (analytic) = 3.1121517409882978541955684299102 y[1] (numeric) = 3.1121517409882978541955684299103 absolute error = 1e-31 relative error = 3.2132109332253801126083964399479e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.356 Order of pole = 2.731e-27 TOP MAIN SOLVE Loop x[1] = 4.947 y[1] (analytic) = 3.1126905217221071018655795762633 y[1] (numeric) = 3.1126905217221071018655795762634 absolute error = 1e-31 relative error = 3.2126547532478315362973181665661e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.948 y[1] (analytic) = 3.1132292964410681192537095023364 y[1] (numeric) = 3.1132292964410681192537095023364 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.949 y[1] (analytic) = 3.1137680651470464094277876445303 y[1] (numeric) = 3.1137680651470464094277876445304 absolute error = 1e-31 relative error = 3.2115429893227304759762537839255e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.95 y[1] (analytic) = 3.114306827841906607712524073896 y[1] (numeric) = 3.1143068278419066077125240738961 absolute error = 1e-31 relative error = 3.2109874051586659821155853630341e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 memory used=587.4MB, alloc=4.5MB, time=69.07 TOP MAIN SOLVE Loop x[1] = 4.951 y[1] (analytic) = 3.114845584527512482227603056669 y[1] (numeric) = 3.114845584527512482227603056669 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.952 y[1] (analytic) = 3.1153843352057269344253595849918 y[1] (numeric) = 3.1153843352057269344253595849918 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.953 y[1] (analytic) = 3.1159230798784119996280392656086 y[1] (numeric) = 3.1159230798784119996280392656087 absolute error = 1e-31 relative error = 3.2093218425630118652952412407227e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.954 y[1] (analytic) = 3.1164618185474288475646419538952 y[1] (numeric) = 3.1164618185474288475646419538953 absolute error = 1e-31 relative error = 3.2087670513033791806916329081968e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.955 y[1] (analytic) = 3.1170005512146377829073495201684 y[1] (numeric) = 3.1170005512146377829073495201685 absolute error = 1e-31 relative error = 3.2082124580001065232147656895710e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.956 y[1] (analytic) = 3.1175392778818982458075381347994 y[1] (numeric) = 3.1175392778818982458075381347994 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.957 y[1] (analytic) = 3.118077998551068812431375458235 y[1] (numeric) = 3.118077998551068812431375458235 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.958 y[1] (analytic) = 3.118616713224007195495003121615 y[1] (numeric) = 3.1186167132240071954950031216151 absolute error = 1e-31 relative error = 3.2065498647514333889809272761500e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.959 y[1] (analytic) = 3.1191554219025702447993048832522 y[1] (numeric) = 3.1191554219025702447993048832523 absolute error = 1e-31 relative error = 3.2059960621969800040038672614518e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 6.13 Order of pole = 7.709e-27 TOP MAIN SOLVE Loop x[1] = 4.96 y[1] (analytic) = 3.1196941245886139477642608458272 y[1] (numeric) = 3.1196941245886139477642608458272 absolute error = 0 relative error = 0 % Correct digits = 32 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.961 y[1] (analytic) = 3.1202328212839934299628881187316 y[1] (numeric) = 3.1202328212839934299628881187317 absolute error = 1e-31 relative error = 3.2048890492360578134746030619190e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.962 y[1] (analytic) = 3.1207715119905629556547683095782 y[1] (numeric) = 3.1207715119905629556547683095783 absolute error = 1e-31 relative error = 3.2043358386149736999412934541391e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.963 y[1] (analytic) = 3.1213101967101759283191622284771 y[1] (numeric) = 3.1213101967101759283191622284772 absolute error = 1e-31 relative error = 3.2037828250905282846993096245891e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.964 y[1] (analytic) = 3.1218488754446848911877121882668 y[1] (numeric) = 3.1218488754446848911877121882669 absolute error = 1e-31 relative error = 3.2032300085556101789828740847337e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.965 y[1] (analytic) = 3.1223875481959415277767322834697 y[1] (numeric) = 3.1223875481959415277767322834698 absolute error = 1e-31 relative error = 3.2026773889031863700739796461623e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.966 y[1] (analytic) = 3.1229262149657966624190870303295 y[1] (numeric) = 3.1229262149657966624190870303296 absolute error = 1e-31 relative error = 3.2021249660263021491813462799161e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.967 y[1] (analytic) = 3.1234648757561002607956587498725 y[1] (numeric) = 3.1234648757561002607956587498727 absolute error = 2e-31 relative error = 6.4031454796361620787986464612441e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.968 y[1] (analytic) = 3.1240035305687014304664040755239 y[1] (numeric) = 3.124003530568701430466404075524 absolute error = 1e-31 relative error = 3.2010207101717247237466327379529e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.969 y[1] (analytic) = 3.1245421794054484214009999663933 y[1] (numeric) = 3.1245421794054484214009999663935 absolute error = 2e-31 relative error = 6.4009377539610259465697037435318e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.97 y[1] (analytic) = 3.1250808222681886265090796069368 y[1] (numeric) = 3.1250808222681886265090796069369 absolute error = 1e-31 relative error = 3.1999172401378035753165291408384e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.971 y[1] (analytic) = 3.1256194591587685821700585732842 y[1] (numeric) = 3.1256194591587685821700585732844 absolute error = 2e-31 relative error = 6.3987315990740645233256653768766e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.972 y[1] (analytic) = 3.1261580900790339687625516461166 y[1] (numeric) = 3.1261580900790339687625516461167 absolute error = 1e-31 relative error = 3.1988145550717126370206270410173e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.973 y[1] (analytic) = 3.1266967150308296111933806495603 y[1] (numeric) = 3.1266967150308296111933806495604 absolute error = 1e-31 relative error = 3.1982635066354361073988755291270e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.974 y[1] (analytic) = 3.1272353340159994794261736951606 y[1] (numeric) = 3.1272353340159994794261736951608 absolute error = 2e-31 relative error = 6.3954253082437436172685313043909e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 12.75 Order of pole = 1.499e-26 TOP MAIN SOLVE Loop x[1] = 4.975 y[1] (analytic) = 3.127773947036386689009556209583 y[1] (numeric) = 3.1277739470363866890095562095832 absolute error = 2e-31 relative error = 6.3943239948495330699719096221986e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.976 y[1] (analytic) = 3.1283125540938335016049341242834 y[1] (numeric) = 3.1283125540938335016049341242836 absolute error = 2e-31 relative error = 6.3932230728758893356186679690100e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.977 y[1] (analytic) = 3.1288511551901813255138696049792 y[1] (numeric) = 3.1288511551901813255138696049795 absolute error = 3e-31 relative error = 9.5881838131659243129261212301991e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.978 y[1] (analytic) = 3.1293897503272707162050496983455 y[1] (numeric) = 3.1293897503272707162050496983458 absolute error = 3e-31 relative error = 9.5865336035125085591063514492964e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.979 y[1] (analytic) = 3.1299283395069413768408482729501 y[1] (numeric) = 3.1299283395069413768408482729504 absolute error = 3e-31 relative error = 9.5848839800357568883946527098925e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.98 y[1] (analytic) = 3.1304669227310321588034816310385 y[1] (numeric) = 3.1304669227310321588034816310388 absolute error = 3e-31 relative error = 9.5832349424180713549552587532595e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.981 y[1] (analytic) = 3.1310055000013810622207581673686 y[1] (numeric) = 3.1310055000013810622207581673689 absolute error = 3e-31 relative error = 9.5815864903420857078926439778967e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.982 y[1] (analytic) = 3.1315440713198252364914224508913 y[1] (numeric) = 3.1315440713198252364914224508915 absolute error = 2e-31 relative error = 6.3866257489937767857924734594791e-30 % Correct digits = 31 h = 0.001 memory used=591.3MB, alloc=4.5MB, time=69.52 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.983 y[1] (analytic) = 3.132082636688200980810094104666 y[1] (numeric) = 3.1320826366882009808100941046662 absolute error = 2e-31 relative error = 6.3855275610312708459165926555780e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 4.874 Order of pole = 4.777e-27 TOP MAIN SOLVE Loop x[1] = 4.984 y[1] (analytic) = 3.1326211961083437446918018589965 y[1] (numeric) = 3.1326211961083437446918018589967 absolute error = 2e-31 relative error = 6.3844297627960910252925707431177e-30 % Correct digits = 31 h = 0.001 Complex estimate of poles used for equation 1 Radius of convergence = 39.51 Order of pole = 7.765e-26 TOP MAIN SOLVE Loop x[1] = 4.985 y[1] (analytic) = 3.1331597495820881284961131523652 y[1] (numeric) = 3.1331597495820881284961131523654 absolute error = 2e-31 relative error = 6.3833323540772762609770364304310e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.986 y[1] (analytic) = 3.133698297111267883950859654342 y[1] (numeric) = 3.1336982971112678839508596543422 absolute error = 2e-31 relative error = 6.3822353346640192463414827512160e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.987 y[1] (analytic) = 3.1342368386977159146754590842387 y[1] (numeric) = 3.1342368386977159146754590842389 absolute error = 2e-31 relative error = 6.3811387043456662901447556678852e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.988 y[1] (analytic) = 3.1347753743432642767038336988771 y[1] (numeric) = 3.1347753743432642767038336988773 absolute error = 2e-31 relative error = 6.3800424629117171757611439198710e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.989 y[1] (analytic) = 3.1353139040497441790069258224367 y[1] (numeric) = 3.1353139040497441790069258224369 absolute error = 2e-31 relative error = 6.3789466101518250205638691759667e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.99 y[1] (analytic) = 3.1358524278189859840148107909436 y[1] (numeric) = 3.1358524278189859840148107909438 absolute error = 2e-31 relative error = 6.3778511458557961354637758468419e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.991 y[1] (analytic) = 3.1363909456528192081384076835634 y[1] (numeric) = 3.1363909456528192081384076835637 absolute error = 3e-31 relative error = 9.5651341047203848269045303156356e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.992 y[1] (analytic) = 3.1369294575530725222907882124572 y[1] (numeric) = 3.1369294575530725222907882124574 absolute error = 2e-31 relative error = 6.3756613818153185452035587989062e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.993 y[1] (analytic) = 3.1374679635215737524080841425588 y[1] (numeric) = 3.1374679635215737524080841425591 absolute error = 3e-31 relative error = 9.5618506224768707513553544375898e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.994 y[1] (analytic) = 3.1380064635601498799699936122347 y[1] (numeric) = 3.1380064635601498799699936122349 absolute error = 2e-31 relative error = 6.3734731691117934352482734539177e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.995 y[1] (analytic) = 3.1385449576706270425198867253816 y[1] (numeric) = 3.1385449576706270425198867253818 absolute error = 2e-31 relative error = 6.3723796439875275253349559538554e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.996 y[1] (analytic) = 3.1390834458548305341845107851253 y[1] (numeric) = 3.1390834458548305341845107851255 absolute error = 2e-31 relative error = 6.3712865060691719689453251884980e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.997 y[1] (analytic) = 3.1396219281145848061932955388784 y[1] (numeric) = 3.1396219281145848061932955388786 absolute error = 2e-31 relative error = 6.3701937551476015118316725378472e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.998 y[1] (analytic) = 3.140160404451713467397258804121 y[1] (numeric) = 3.1401604044517134673972588041212 absolute error = 2e-31 relative error = 6.3691013910138429751566387634696e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 TOP MAIN SOLVE Loop x[1] = 4.999 y[1] (analytic) = 3.1406988748680392847875128438682 y[1] (numeric) = 3.1406988748680392847875128438684 absolute error = 2e-31 relative error = 6.3680094134590751164197205585613e-30 % Correct digits = 31 h = 0.001 NO POLE for equation 1 Finished! diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3); Iterations = 4900 Total Elapsed Time = 1 Minutes 9 Seconds Elapsed Time(since restart) = 1 Minutes 9 Seconds Time to Timeout = 1 Minutes 50 Seconds Percent Done = 100 % > quit memory used=593.4MB, alloc=4.5MB, time=69.76