##############ECHO OF PROBLEM################# ##############temp/sub_c_sinpostode.ode################# diff ( y , x , 1 ) = 1.0 - sin ( x ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* 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_type_given_pole=3; /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=10; glob_display_interval=0.01; glob_look_poles=true; glob_max_iter=100000000; glob_max_minutes=10.0; glob_subiter_method=3; /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(2.0 + cos(x) + x); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Optimize min_size = 0 min_size = 1 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 1.129384878631564e-15 est_needed_step_err = 1.129384878631564e-15 opt_iter = 1 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 3.095004165278026 glob_desired_digits_correct = 10 estimated_h = 1e-06 estimated_answer = 3.095004165278026 desired_abs_gbl_error = 3.095004165278026e-10 range = 4.9 estimated_steps = 4900000.000000001 step_error = 3.495450903566708e-15 est_needed_step_err = 3.495450903566708e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.674790358513323e-258 estimated_step_error = 2.674790358513323e-258 Double H and LOOP opt_iter = 2 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 3.095004165278026 glob_desired_digits_correct = 10 estimated_h = 2e-06 estimated_answer = 3.095004165278026 desired_abs_gbl_error = 3.095004165278026e-10 range = 4.9 estimated_steps = 2450000 step_error = 4.943314074433328e-15 est_needed_step_err = 4.943314074433328e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.838101935663098e-247 estimated_step_error = 1.838101935663098e-247 Double H and LOOP opt_iter = 3 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 3.095004165278026 glob_desired_digits_correct = 10 estimated_h = 4e-06 estimated_answer = 3.095004165278026 desired_abs_gbl_error = 3.095004165278026e-10 range = 4.9 estimated_steps = 1225000 step_error = 6.990901807133416e-15 est_needed_step_err = 6.990901807133416e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.263134028636665e-236 estimated_step_error = 1.263134028636665e-236 Double H and LOOP opt_iter = 4 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 3.095004165278026 glob_desired_digits_correct = 10 estimated_h = 8e-06 estimated_answer = 3.095004165278026 desired_abs_gbl_error = 3.095004165278026e-10 range = 4.9 estimated_steps = 612500.0000000001 step_error = 9.886628148866657e-15 est_needed_step_err = 9.886628148866657e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.68019090245767e-226 estimated_step_error = 8.68019090245767e-226 Double H and LOOP opt_iter = 5 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 3.095004165278026 glob_desired_digits_correct = 10 estimated_h = 1.6e-05 estimated_answer = 3.095004165278026 desired_abs_gbl_error = 3.095004165278026e-10 range = 4.9 estimated_steps = 306250.0000000001 step_error = 1.398180361426683e-14 est_needed_step_err = 1.398180361426683e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.964981703152477e-215 estimated_step_error = 5.964981703152477e-215 Double H and LOOP opt_iter = 6 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 3.095004165278026 glob_desired_digits_correct = 10 estimated_h = 3.2e-05 estimated_answer = 3.095004165278026 desired_abs_gbl_error = 3.095004165278026e-10 range = 4.9 estimated_steps = 153125 step_error = 1.977325629773331e-14 est_needed_step_err = 1.977325629773331e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.099104124878063e-204 estimated_step_error = 4.099104124878063e-204 Double H and LOOP opt_iter = 7 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 3.095004165278026 glob_desired_digits_correct = 10 estimated_h = 6.4e-05 estimated_answer = 3.095004165278026 desired_abs_gbl_error = 3.095004165278026e-10 range = 4.9 estimated_steps = 76562.50000000001 step_error = 2.796360722853366e-14 est_needed_step_err = 2.796360722853366e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.816882783259633e-193 estimated_step_error = 2.816882783259633e-193 Double H and LOOP opt_iter = 8 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 3.095004165278026 glob_desired_digits_correct = 10 estimated_h = 0.000128 estimated_answer = 3.095004165278026 desired_abs_gbl_error = 3.095004165278026e-10 range = 4.9 estimated_steps = 38281.25000000001 step_error = 3.954651259546663e-14 est_needed_step_err = 3.954651259546663e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.935746940941988e-182 estimated_step_error = 1.935746940941988e-182 Double H and LOOP opt_iter = 9 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.09933 Order of pole (three term test) = 32.01 NO COMPLEX POLE (six term test) for Equation 1 SETTING H FOR POLE ACCURACY START of Soultion TOP MAIN SOLVE Loop x[1] = 0.1 y[1] (analytic) = 3.095004165278026 y[1] (numeric) = 3.095004165278026 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1101120000000003 y[1] (analytic) = 3.104055796552937 y[1] (numeric) = 3.104055796552933 absolute error = 3.552713678800501e-15 relative error = 1.144539245314405e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200960000000005 y[1] (analytic) = 3.112893138907122 y[1] (numeric) = 3.112893138907119 absolute error = 3.552713678800501e-15 relative error = 1.141289957691189e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300800000000002 y[1] (analytic) = 3.121631519810392 y[1] (numeric) = 3.12163151981039 absolute error = 2.220446049250313e-15 relative error = 7.113094659504153e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1400639999999994 y[1] (analytic) = 3.130271063425343 y[1] (numeric) = 3.13027106342534 absolute error = 3.108624468950438e-15 relative error = 9.930847539921294e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500479999999985 y[1] (analytic) = 3.138811903766621 y[1] (numeric) = 3.138811903766618 absolute error = 3.108624468950438e-15 relative error = 9.903825282489986e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600319999999977 y[1] (analytic) = 3.147254184687553 y[1] (numeric) = 3.147254184687555 absolute error = 1.332267629550188e-15 relative error = 4.233110995712124e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700159999999968 y[1] (analytic) = 3.155598059865818 y[1] (numeric) = 3.155598059865821 absolute error = 2.664535259100376e-15 relative error = 8.443836029020998e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.180127999999996 y[1] (analytic) = 3.163948768943134 y[1] (numeric) = 3.163948768943138 absolute error = 3.996802888650564e-15 relative error = 1.263232492220672e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1901119999999951 y[1] (analytic) = 3.172095076761943 y[1] (numeric) = 3.172095076761947 absolute error = 4.440892098500626e-15 relative error = 1.399987071961873e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000959999999943 y[1] (analytic) = 3.180143501069363 y[1] (numeric) = 3.18014350106937 absolute error = 6.217248937900877e-15 relative error = 1.955021506359775e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100799999999935 y[1] (analytic) = 3.188094234802474 y[1] (numeric) = 3.188094234802482 absolute error = 7.993605777301127e-15 relative error = 2.507330457813895e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2200639999999926 y[1] (analytic) = 3.195947480636094 y[1] (numeric) = 3.195947480636103 absolute error = 8.43769498715119e-15 relative error = 2.640123167941365e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300479999999918 y[1] (analytic) = 3.203703450962579 y[1] (numeric) = 3.203703450962587 absolute error = 7.993605777301127e-15 relative error = 2.495114138888037e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400319999999909 y[1] (analytic) = 3.211362367870653 y[1] (numeric) = 3.211362367870663 absolute error = 9.769962616701378e-15 relative error = 3.042310862968576e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500159999999901 y[1] (analytic) = 3.218924463123269 y[1] (numeric) = 3.218924463123279 absolute error = 1.06581410364015e-14 relative error = 3.311087650084242e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2601279999999915 y[1] (analytic) = 3.226485063907288 y[1] (numeric) = 3.226485063907295 absolute error = 7.549516567451064e-15 relative error = 2.33985790044494e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2701119999999928 y[1] (analytic) = 3.233853016400268 y[1] (numeric) = 3.233853016400275 absolute error = 7.105427357601002e-15 relative error = 2.197201703839447e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800959999999941 y[1] (analytic) = 3.241124903740002 y[1] (numeric) = 3.241124903740008 absolute error = 5.773159728050814e-15 relative error = 1.781220995645383e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900799999999955 y[1] (analytic) = 3.24830099626833 y[1] (numeric) = 3.248300996268334 absolute error = 4.440892098500626e-15 relative error = 1.367143039885267e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000639999999968 y[1] (analytic) = 3.255381573875861 y[1] (numeric) = 3.255381573875864 absolute error = 3.108624468950438e-15 relative error = 9.549186165753547e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100479999999981 y[1] (analytic) = 3.262366925974081 y[1] (numeric) = 3.262366925974083 absolute error = 2.220446049250313e-15 relative error = 6.806242521562256e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200319999999994 y[1] (analytic) = 3.269257351466494 y[1] (numeric) = 3.269257351466495 absolute error = 1.332267629550188e-15 relative error = 4.07513843764111e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300160000000008 y[1] (analytic) = 3.27605315871884 y[1] (numeric) = 3.27605315871884 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400000000000021 y[1] (analytic) = 3.282754665528348 y[1] (numeric) = 3.282754665528347 absolute error = 4.440892098500626e-16 relative error = 1.352794390983184e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3501120000000034 y[1] (analytic) = 3.289446302401281 y[1] (numeric) = 3.28944630240128 absolute error = 8.881784197001252e-16 relative error = 2.700084871583886e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600960000000047 y[1] (analytic) = 3.295959001038983 y[1] (numeric) = 3.295959001038983 absolute error = 4.440892098500626e-16 relative error = 1.347374799595725e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700800000000061 y[1] (analytic) = 3.302378413388064 y[1] (numeric) = 3.302378413388065 absolute error = 4.440892098500626e-16 relative error = 1.34475567079077e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3800640000000074 y[1] (analytic) = 3.308704894764583 y[1] (numeric) = 3.308704894764582 absolute error = 1.77635683940025e-15 relative error = 5.36873760549334e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900480000000087 y[1] (analytic) = 3.314938809747904 y[1] (numeric) = 3.3149388097479 absolute error = 3.996802888650564e-15 relative error = 1.20569431836798e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.40003200000001 y[1] (analytic) = 3.321080532144356 y[1] (numeric) = 3.321080532144348 absolute error = 7.993605777301127e-15 relative error = 2.406929220755696e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100160000000114 y[1] (analytic) = 3.327130444949973 y[1] (numeric) = 3.327130444949965 absolute error = 7.549516567451064e-15 relative error = 2.269077420426953e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4200000000000127 y[1] (analytic) = 3.333088940312316 y[1] (numeric) = 3.333088940312308 absolute error = 7.993605777301127e-15 relative error = 2.398257568414035e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.430112000000014 y[1] (analytic) = 3.339031054444086 y[1] (numeric) = 3.339031054444076 absolute error = 9.769962616701378e-15 relative error = 2.925987347047294e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400960000000154 y[1] (analytic) = 3.344806768862293 y[1] (numeric) = 3.344806768862282 absolute error = 1.110223024625157e-14 relative error = 3.319244133803249e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500800000000167 y[1] (analytic) = 3.350492302228564 y[1] (numeric) = 3.350492302228552 absolute error = 1.243449787580175e-14 relative error = 3.711245021375219e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.460064000000018 y[1] (analytic) = 3.356088083011593 y[1] (numeric) = 3.35608808301158 absolute error = 1.287858708565182e-14 relative error = 3.837380535642911e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700480000000193 y[1] (analytic) = 3.361594548626563 y[1] (numeric) = 3.361594548626547 absolute error = 1.598721155460225e-14 relative error = 4.755841706470551e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800320000000207 y[1] (analytic) = 3.36701214539154 y[1] (numeric) = 3.367012145391522 absolute error = 1.731947918415244e-14 relative error = 5.143871906686696e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.490016000000022 y[1] (analytic) = 3.372341328482984 y[1] (numeric) = 3.372341328482967 absolute error = 1.687538997430238e-14 relative error = 5.004057516886529e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000000000000233 y[1] (analytic) = 3.377582561890385 y[1] (numeric) = 3.377582561890368 absolute error = 1.687538997430238e-14 relative error = 4.996292367419574e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5101120000000247 y[1] (analytic) = 3.382801826320374 y[1] (numeric) = 3.382801826320357 absolute error = 1.731947918415244e-14 relative error = 5.119862195117596e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.520096000000026 y[1] (analytic) = 3.387867475185593 y[1] (numeric) = 3.387867475185576 absolute error = 1.687538997430238e-14 relative error = 4.981124585865897e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300800000000273 y[1] (analytic) = 3.392846625086539 y[1] (numeric) = 3.392846625086521 absolute error = 1.731947918415244e-14 relative error = 5.10470442609845e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400640000000286 y[1] (analytic) = 3.397739774903807 y[1] (numeric) = 3.397739774903788 absolute error = 1.909583602355269e-14 relative error = 5.620158484354003e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.55004800000003 y[1] (analytic) = 3.402547432090433 y[1] (numeric) = 3.402547432090413 absolute error = 1.998401444325282e-14 relative error = 5.873250804611174e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600320000000313 y[1] (analytic) = 3.407270112621306 y[1] (numeric) = 3.407270112621285 absolute error = 2.042810365310288e-14 relative error = 5.995445907687953e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700160000000326 y[1] (analytic) = 3.411908340941741 y[1] (numeric) = 3.411908340941721 absolute error = 2.042810365310288e-14 relative error = 5.987295557730135e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800000000000339 y[1] (analytic) = 3.416462649915202 y[1] (numeric) = 3.416462649915183 absolute error = 1.909583602355269e-14 relative error = 5.589358930654973e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5901120000000353 y[1] (analytic) = 3.420990361454083 y[1] (numeric) = 3.420990361454063 absolute error = 1.998401444325282e-14 relative error = 5.841587473739231e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000960000000366 y[1] (analytic) = 3.425377405429185 y[1] (numeric) = 3.425377405429165 absolute error = 1.953992523340276e-14 relative error = 5.704459077248595e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100800000000379 y[1] (analytic) = 3.429682185825863 y[1] (numeric) = 3.429682185825842 absolute error = 2.042810365310288e-14 relative error = 5.956267241765966e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200640000000393 y[1] (analytic) = 3.433905268745479 y[1] (numeric) = 3.433905268745457 absolute error = 2.176037128265307e-14 relative error = 6.336916594849125e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300480000000406 y[1] (analytic) = 3.438047228432951 y[1] (numeric) = 3.43804722843293 absolute error = 2.087219286295294e-14 relative error = 6.070944194814453e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6400320000000419 y[1] (analytic) = 3.442108647219516 y[1] (numeric) = 3.442108647219494 absolute error = 2.220446049250313e-14 relative error = 6.450830804088524e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6500160000000432 y[1] (analytic) = 3.446090115464683 y[1] (numeric) = 3.446090115464659 absolute error = 2.353672812205332e-14 relative error = 6.829980451303301e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6600000000000446 y[1] (analytic) = 3.449992231497382 y[1] (numeric) = 3.449992231497358 absolute error = 2.398081733190338e-14 relative error = 6.950977197271865e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6701120000000459 y[1] (analytic) = 3.453864110534334 y[1] (numeric) = 3.453864110534309 absolute error = 2.575717417130363e-14 relative error = 7.457494952607975e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6800960000000472 y[1] (analytic) = 3.457608351037677 y[1] (numeric) = 3.457608351037651 absolute error = 2.664535259100376e-14 relative error = 7.70629576452958e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6900800000000485 y[1] (analytic) = 3.461275089554614 y[1] (numeric) = 3.461275089554585 absolute error = 2.886579864025407e-14 relative error = 8.339643019812225e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7000640000000499 y[1] (analytic) = 3.464864955786155 y[1] (numeric) = 3.464864955786125 absolute error = 2.97539770599542e-14 relative error = 8.587341047813858e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100480000000512 y[1] (analytic) = 3.468378587095896 y[1] (numeric) = 3.468378587095866 absolute error = 3.019806626980426e-14 relative error = 8.706681093625758e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200320000000525 y[1] (analytic) = 3.471816628446489 y[1] (numeric) = 3.471816628446458 absolute error = 3.108624468950438e-14 relative error = 8.953884382832264e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300160000000538 y[1] (analytic) = 3.475179732335346 y[1] (numeric) = 3.475179732335315 absolute error = 3.153033389935445e-14 relative error = 9.073008111199425e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400000000000552 y[1] (analytic) = 3.478468558729606 y[1] (numeric) = 3.478468558729575 absolute error = 3.153033389935445e-14 relative error = 9.064429753210086e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7501120000000565 y[1] (analytic) = 3.481724520743724 y[1] (numeric) = 3.481724520743692 absolute error = 3.197442310920451e-14 relative error = 9.183501715516116e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600960000000578 y[1] (analytic) = 3.48486587094225 y[1] (numeric) = 3.484865870942218 absolute error = 3.197442310920451e-14 relative error = 9.175223464356507e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700800000000592 y[1] (analytic) = 3.487934976494616 y[1] (numeric) = 3.487934976494584 absolute error = 3.286260152890463e-14 relative error = 9.421793052441485e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800640000000605 y[1] (analytic) = 3.490932526673546 y[1] (numeric) = 3.490932526673513 absolute error = 3.33066907387547e-14 relative error = 9.54091506617921e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900480000000618 y[1] (analytic) = 3.493859217884361 y[1] (numeric) = 3.493859217884328 absolute error = 3.375077994860476e-14 relative error = 9.66002859412346e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000320000000631 y[1] (analytic) = 3.496715753595565 y[1] (numeric) = 3.49671575359553 absolute error = 3.508304757815495e-14 relative error = 1.003314254013359e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100160000000645 y[1] (analytic) = 3.499502844268719 y[1] (numeric) = 3.499502844268685 absolute error = 3.463895836830488e-14 relative error = 9.898251240182455e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200000000000658 y[1] (analytic) = 3.502221207287631 y[1] (numeric) = 3.502221207287597 absolute error = 3.419486915845482e-14 relative error = 9.763766231356288e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8301120000000671 y[1] (analytic) = 3.504905107525072 y[1] (numeric) = 3.504905107525037 absolute error = 3.508304757815495e-14 relative error = 1.000969969281942e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400960000000685 y[1] (analytic) = 3.507487337026249 y[1] (numeric) = 3.507487337026213 absolute error = 3.597122599785507e-14 relative error = 1.025555405949164e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500800000000698 y[1] (analytic) = 3.510003041340707 y[1] (numeric) = 3.510003041340668 absolute error = 3.863576125695545e-14 relative error = 1.100732985182766e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600640000000711 y[1] (analytic) = 3.512452964903885 y[1] (numeric) = 3.512452964903846 absolute error = 3.863576125695545e-14 relative error = 1.099965227805198e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700480000000724 y[1] (analytic) = 3.514837858708215 y[1] (numeric) = 3.514837858708176 absolute error = 3.952393967665557e-14 relative error = 1.124488276997834e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800320000000738 y[1] (analytic) = 3.517158480228255 y[1] (numeric) = 3.517158480228215 absolute error = 3.996802888650564e-14 relative error = 1.136372702884625e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900160000000751 y[1] (analytic) = 3.519415593345189 y[1] (numeric) = 3.519415593345149 absolute error = 3.996802888650564e-14 relative error = 1.135643910940231e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000000000000764 y[1] (analytic) = 3.521609968270681 y[1] (numeric) = 3.521609968270641 absolute error = 3.996802888650564e-14 relative error = 1.134936271949852e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9101120000000777 y[1] (analytic) = 3.523769321220755 y[1] (numeric) = 3.523769321220712 absolute error = 4.218847493575595e-14 relative error = 1.197254164218117e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200960000000791 y[1] (analytic) = 3.525839776096453 y[1] (numeric) = 3.525839776096411 absolute error = 4.263256414560601e-14 relative error = 1.20914638363986e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300800000000804 y[1] (analytic) = 3.527849850779043 y[1] (numeric) = 3.527849850779 absolute error = 4.352074256530614e-14 relative error = 1.233633641060307e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400640000000817 y[1] (analytic) = 3.529800340104837 y[1] (numeric) = 3.529800340104793 absolute error = 4.39648317751562e-14 relative error = 1.245533104964527e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.950048000000083 y[1] (analytic) = 3.531692044849585 y[1] (numeric) = 3.531692044849542 absolute error = 4.263256414560601e-14 relative error = 1.207142740765828e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600320000000844 y[1] (analytic) = 3.533525771648649 y[1] (numeric) = 3.533525771648608 absolute error = 4.085620730620576e-14 relative error = 1.156244780610256e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700160000000857 y[1] (analytic) = 3.535302332916598 y[1] (numeric) = 3.535302332916557 absolute error = 4.085620730620576e-14 relative error = 1.155663744110385e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.980000000000087 y[1] (analytic) = 3.537022546766232 y[1] (numeric) = 3.53702254676619 absolute error = 4.174438572590589e-14 relative error = 1.180212598985868e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9901120000000884 y[1] (analytic) = 3.538708222230812 y[1] (numeric) = 3.53870822223077 absolute error = 4.130029651605582e-14 relative error = 1.167100928429188e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.00009600000009 y[1] (analytic) = 3.540317522164023 y[1] (numeric) = 3.540317522163983 absolute error = 4.04121180963557e-14 relative error = 1.141482871052022e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010080000000082 y[1] (analytic) = 3.541872973124916 y[1] (numeric) = 3.541872973124878 absolute error = 3.819167204710538e-14 relative error = 1.078290281353871e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020064000000075 y[1] (analytic) = 3.54337541526644 y[1] (numeric) = 3.543375415266402 absolute error = 3.819167204710538e-14 relative error = 1.077833070765199e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030048000000068 y[1] (analytic) = 3.544825694025429 y[1] (numeric) = 3.544825694025392 absolute error = 3.641531520770513e-14 relative error = 1.027280841173115e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.04003200000006 y[1] (analytic) = 3.546224660038335 y[1] (numeric) = 3.5462246600383 absolute error = 3.508304757815495e-14 relative error = 9.893069656160954e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050016000000053 y[1] (analytic) = 3.547573169056436 y[1] (numeric) = 3.547573169056401 absolute error = 3.552713678800501e-14 relative error = 1.001449021485703e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060000000000046 y[1] (analytic) = 3.548872081860534 y[1] (numeric) = 3.5488720818605 absolute error = 3.419486915845482e-14 relative error = 9.635418907668208e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.070112000000038 y[1] (analytic) = 3.550137979560926 y[1] (numeric) = 3.550137979560894 absolute error = 3.197442310920451e-14 relative error = 9.006529687941605e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080096000000031 y[1] (analytic) = 3.551339694052531 y[1] (numeric) = 3.551339694052502 absolute error = 2.97539770599542e-14 relative error = 8.378240220101591e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090080000000023 y[1] (analytic) = 3.55249443524227 y[1] (numeric) = 3.552494435242241 absolute error = 2.886579864025407e-14 relative error = 8.125501437495005e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100064000000016 y[1] (analytic) = 3.553603083225609 y[1] (numeric) = 3.553603083225581 absolute error = 2.842170943040401e-14 relative error = 7.997997740537076e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110048000000009 y[1] (analytic) = 3.554666522692561 y[1] (numeric) = 3.554666522692533 absolute error = 2.797762022055394e-14 relative error = 7.870673674154298e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.120032000000001 y[1] (analytic) = 3.555685642839498 y[1] (numeric) = 3.55568564283947 absolute error = 2.842170943040401e-14 relative error = 7.993313325557939e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130015999999994 y[1] (analytic) = 3.556661337280515 y[1] (numeric) = 3.556661337280487 absolute error = 2.797762022055394e-14 relative error = 7.866259271664623e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140127999999987 y[1] (analytic) = 3.557606195450237 y[1] (numeric) = 3.55760619545021 absolute error = 2.753353101070388e-14 relative error = 7.739341989542309e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150111999999979 y[1] (analytic) = 3.558497208761027 y[1] (numeric) = 3.558497208761002 absolute error = 2.486899575160351e-14 relative error = 6.988623087964208e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160095999999972 y[1] (analytic) = 3.559347514467808 y[1] (numeric) = 3.559347514467784 absolute error = 2.398081733190338e-14 relative error = 6.737419494564015e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.170079999999965 y[1] (analytic) = 3.560158023012002 y[1] (numeric) = 3.560158023011978 absolute error = 2.353672812205332e-14 relative error = 6.611147024912264e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180063999999957 y[1] (analytic) = 3.560929648801991 y[1] (numeric) = 3.560929648801967 absolute error = 2.353672812205332e-14 relative error = 6.609714440714048e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.19004799999995 y[1] (analytic) = 3.561663310121967 y[1] (numeric) = 3.561663310121942 absolute error = 2.486899575160351e-14 relative error = 6.982410628463331e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200031999999943 y[1] (analytic) = 3.562359929040396 y[1] (numeric) = 3.562359929040372 absolute error = 2.442490654175344e-14 relative error = 6.856383697402765e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210015999999935 y[1] (analytic) = 3.563020431318115 y[1] (numeric) = 3.56302043131809 absolute error = 2.575717417130363e-14 relative error = 7.229027918252756e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.220127999999928 y[1] (analytic) = 3.563653538783616 y[1] (numeric) = 3.56365353878359 absolute error = 2.620126338115369e-14 relative error = 7.352359901433344e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230111999999921 y[1] (analytic) = 3.564244166282563 y[1] (numeric) = 3.564244166282537 absolute error = 2.620126338115369e-14 relative error = 7.351141548891444e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240095999999913 y[1] (analytic) = 3.564801487678303 y[1] (numeric) = 3.564801487678275 absolute error = 2.797762022055394e-14 relative error = 7.848296831466853e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250079999999906 y[1] (analytic) = 3.565326442616765 y[1] (numeric) = 3.565326442616738 absolute error = 2.664535259100376e-14 relative error = 7.473467863281391e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260063999999899 y[1] (analytic) = 3.565819973970151 y[1] (numeric) = 3.565819973970125 absolute error = 2.575717417130363e-14 relative error = 7.223352373178232e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270047999999891 y[1] (analytic) = 3.566283027742948 y[1] (numeric) = 3.566283027742922 absolute error = 2.531308496145357e-14 relative error = 7.097890090196761e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280031999999884 y[1] (analytic) = 3.566716552977629 y[1] (numeric) = 3.566716552977603 absolute error = 2.575717417130363e-14 relative error = 7.221536611817549e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290015999999877 y[1] (analytic) = 3.567121501660055 y[1] (numeric) = 3.567121501660029 absolute error = 2.575717417130363e-14 relative error = 7.220716804660802e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300127999999869 y[1] (analytic) = 3.567503490985835 y[1] (numeric) = 3.56750349098581 absolute error = 2.575717417130363e-14 relative error = 7.219943648656656e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310111999999862 y[1] (analytic) = 3.567853818201075 y[1] (numeric) = 3.567853818201048 absolute error = 2.708944180085382e-14 relative error = 7.592643415674584e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320095999999854 y[1] (analytic) = 3.568178453859307 y[1] (numeric) = 3.568178453859279 absolute error = 2.797762022055394e-14 relative error = 7.840869110762558e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330079999999847 y[1] (analytic) = 3.568478360800444 y[1] (numeric) = 3.568478360800417 absolute error = 2.753353101070388e-14 relative error = 7.715762357748428e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.34006399999984 y[1] (analytic) = 3.568754504329344 y[1] (numeric) = 3.568754504329317 absolute error = 2.664535259100376e-14 relative error = 7.466289025675379e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350047999999832 y[1] (analytic) = 3.569007852119584 y[1] (numeric) = 3.569007852119557 absolute error = 2.664535259100376e-14 relative error = 7.465759027450571e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360031999999825 y[1] (analytic) = 3.569239374117013 y[1] (numeric) = 3.569239374116986 absolute error = 2.664535259100376e-14 relative error = 7.465274754119146e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370015999999818 y[1] (analytic) = 3.569450042443058 y[1] (numeric) = 3.569450042443031 absolute error = 2.708944180085382e-14 relative error = 7.589248057471859e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.38012799999981 y[1] (analytic) = 3.569643152492749 y[1] (numeric) = 3.569643152492722 absolute error = 2.708944180085382e-14 relative error = 7.588837495405319e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390111999999803 y[1] (analytic) = 3.569814802054181 y[1] (numeric) = 3.569814802054154 absolute error = 2.664535259100376e-14 relative error = 7.464071406637454e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400095999999796 y[1] (analytic) = 3.569968538943096 y[1] (numeric) = 3.569968538943068 absolute error = 2.797762022055394e-14 relative error = 7.836937473078359e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410079999999788 y[1] (analytic) = 3.570105343034498 y[1] (numeric) = 3.570105343034468 absolute error = 2.930988785010413e-14 relative error = 8.209810365201012e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420063999999781 y[1] (analytic) = 3.570226195891242 y[1] (numeric) = 3.57022619589121 absolute error = 3.197442310920451e-14 relative error = 8.95585359437504e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430047999999774 y[1] (analytic) = 3.570332080666195 y[1] (numeric) = 3.570332080666162 absolute error = 3.241851231905457e-14 relative error = 9.079971158594733e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440031999999766 y[1] (analytic) = 3.57042398200423 y[1] (numeric) = 3.570423982004195 absolute error = 3.463895836830488e-14 relative error = 9.701637268541024e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450015999999759 y[1] (analytic) = 3.570502885944085 y[1] (numeric) = 3.57050288594405 absolute error = 3.463895836830488e-14 relative error = 9.701422873698623e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460127999999752 y[1] (analytic) = 3.570570563764111 y[1] (numeric) = 3.570570563764078 absolute error = 3.286260152890463e-14 relative error = 9.203739554235483e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470111999999744 y[1] (analytic) = 3.570626301228864 y[1] (numeric) = 3.570626301228833 absolute error = 3.108624468950438e-14 relative error = 8.706104214491941e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.480095999999737 y[1] (analytic) = 3.570672019485565 y[1] (numeric) = 3.570672019485534 absolute error = 3.153033389935445e-14 relative error = 8.830364067965305e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.49007999999973 y[1] (analytic) = 3.570708709176454 y[1] (numeric) = 3.570708709176422 absolute error = 3.241851231905457e-14 relative error = 9.079013428270253e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500063999999722 y[1] (analytic) = 3.570737361843733 y[1] (numeric) = 3.570737361843701 absolute error = 3.241851231905457e-14 relative error = 9.078940575544159e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510047999999715 y[1] (analytic) = 3.57075896983073 y[1] (numeric) = 3.570758969830696 absolute error = 3.375077994860476e-14 relative error = 9.451990524637594e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520031999999708 y[1] (analytic) = 3.570774526182981 y[1] (numeric) = 3.570774526182945 absolute error = 3.597122599785507e-14 relative error = 1.007378811910225e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.5300159999997 y[1] (analytic) = 3.570785024549247 y[1] (numeric) = 3.57078502454921 absolute error = 3.68594044175552e-14 relative error = 1.032249327924973e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540127999999693 y[1] (analytic) = 3.570791519524254 y[1] (numeric) = 3.570791519524218 absolute error = 3.641531520770513e-14 relative error = 1.019810734079397e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550111999999686 y[1] (analytic) = 3.570794851891312 y[1] (numeric) = 3.570794851891275 absolute error = 3.730349362740526e-14 relative error = 1.044683191689017e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560095999999678 y[1] (analytic) = 3.570796122603524 y[1] (numeric) = 3.570796122603488 absolute error = 3.641531520770513e-14 relative error = 1.019809419451093e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570079999999671 y[1] (analytic) = 3.570796326733636 y[1] (numeric) = 3.570796326733599 absolute error = 3.641531520770513e-14 relative error = 1.019809361152105e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.580063999999664 y[1] (analytic) = 3.570796459460708 y[1] (numeric) = 3.570796459460674 absolute error = 3.463895836830488e-14 relative error = 9.700625269897448e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590047999999656 y[1] (analytic) = 3.570797515970921 y[1] (numeric) = 3.570797515970886 absolute error = 3.508304757815495e-14 relative error = 9.824989353566204e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600031999999649 y[1] (analytic) = 3.570800491358369 y[1] (numeric) = 3.570800491358335 absolute error = 3.419486915845482e-14 relative error = 9.576247466418024e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610015999999642 y[1] (analytic) = 3.570806380525879 y[1] (numeric) = 3.570806380525843 absolute error = 3.597122599785507e-14 relative error = 1.00736982531541e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620127999999634 y[1] (analytic) = 3.570816333401928 y[1] (numeric) = 3.570816333401891 absolute error = 3.68594044175552e-14 relative error = 1.032240277181636e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.630111999999627 y[1] (analytic) = 3.570831102884063 y[1] (numeric) = 3.570831102884026 absolute error = 3.730349362740526e-14 relative error = 1.044672586090007e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640095999999619 y[1] (analytic) = 3.570851781452113 y[1] (numeric) = 3.570851781452074 absolute error = 3.907985046680551e-14 relative error = 1.094412562005399e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650079999999612 y[1] (analytic) = 3.570879362244261 y[1] (numeric) = 3.570879362244222 absolute error = 3.863576125695545e-14 relative error = 1.081967698641975e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660063999999605 y[1] (analytic) = 3.570914837710675 y[1] (numeric) = 3.570914837710638 absolute error = 3.68594044175552e-14 relative error = 1.032211802653515e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670047999999597 y[1] (analytic) = 3.570959199514593 y[1] (numeric) = 3.570959199514556 absolute error = 3.68594044175552e-14 relative error = 1.032198979550524e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.68003199999959 y[1] (analytic) = 3.571013438433463 y[1] (numeric) = 3.571013438433427 absolute error = 3.597122599785507e-14 relative error = 1.007311415037267e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690015999999583 y[1] (analytic) = 3.57107854426019 y[1] (numeric) = 3.571078544260154 absolute error = 3.552713678800501e-14 relative error = 9.948573336508638e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700127999999575 y[1] (analytic) = 3.571156573664575 y[1] (numeric) = 3.57115657366454 absolute error = 3.463895836830488e-14 relative error = 9.699647062172859e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710111999999568 y[1] (analytic) = 3.571246549316053 y[1] (numeric) = 3.571246549316017 absolute error = 3.552713678800501e-14 relative error = 9.948105317682137e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720095999999561 y[1] (analytic) = 3.571350366996223 y[1] (numeric) = 3.571350366996187 absolute error = 3.641531520770513e-14 relative error = 1.019651153362843e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730079999999553 y[1] (analytic) = 3.571469011556007 y[1] (numeric) = 3.571469011555971 absolute error = 3.641531520770513e-14 relative error = 1.019617280448972e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740063999999546 y[1] (analytic) = 3.571603466368392 y[1] (numeric) = 3.571603466368355 absolute error = 3.68594044175552e-14 relative error = 1.032012785423625e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750047999999539 y[1] (analytic) = 3.571754713230408 y[1] (numeric) = 3.571754713230371 absolute error = 3.774758283725532e-14 relative error = 1.056835809509304e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760031999999531 y[1] (analytic) = 3.571923732265264 y[1] (numeric) = 3.571923732265225 absolute error = 3.863576125695545e-14 relative error = 1.081651349606314e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770015999999524 y[1] (analytic) = 3.572111501824647 y[1] (numeric) = 3.57211150182461 absolute error = 3.68594044175552e-14 relative error = 1.03186600974598e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780127999999517 y[1] (analytic) = 3.572321790927199 y[1] (numeric) = 3.572321790927161 absolute error = 3.774758283725532e-14 relative error = 1.05666804522271e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790111999999509 y[1] (analytic) = 3.572550260739452 y[1] (numeric) = 3.572550260739415 absolute error = 3.730349362740526e-14 relative error = 1.044169875994526e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800095999999502 y[1] (analytic) = 3.572800416981426 y[1] (numeric) = 3.572800416981389 absolute error = 3.730349362740526e-14 relative error = 1.044096766505701e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810079999999495 y[1] (analytic) = 3.573073229917101 y[1] (numeric) = 3.573073229917064 absolute error = 3.774758283725532e-14 relative error = 1.0564458215185e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820063999999487 y[1] (analytic) = 3.573369667552047 y[1] (numeric) = 3.57336966755201 absolute error = 3.68594044175552e-14 relative error = 1.031502694844497e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.83004799999948 y[1] (analytic) = 3.57369069553694 y[1] (numeric) = 3.573690695536903 absolute error = 3.730349362740526e-14 relative error = 1.043836660906113e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840031999999473 y[1] (analytic) = 3.574037277071302 y[1] (numeric) = 3.574037277071267 absolute error = 3.597122599785507e-14 relative error = 1.006459172337766e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850015999999465 y[1] (analytic) = 3.574410372807495 y[1] (numeric) = 3.574410372807462 absolute error = 3.286260152890463e-14 relative error = 9.193852440365693e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860127999999458 y[1] (analytic) = 3.574816258767326 y[1] (numeric) = 3.574816258767292 absolute error = 3.419486915845482e-14 relative error = 9.565489995350403e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.87011199999945 y[1] (analytic) = 3.575245624841782 y[1] (numeric) = 3.575245624841749 absolute error = 3.241851231905457e-14 relative error = 9.067492340610644e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880095999999443 y[1] (analytic) = 3.575704383027846 y[1] (numeric) = 3.575704383027813 absolute error = 3.241851231905457e-14 relative error = 9.066328993227098e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890079999999436 y[1] (analytic) = 3.576193482796175 y[1] (numeric) = 3.576193482796143 absolute error = 3.153033389935445e-14 relative error = 8.81673042888645e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900063999999428 y[1] (analytic) = 3.576713870592992 y[1] (numeric) = 3.576713870592961 absolute error = 3.108624468950438e-14 relative error = 8.691286419383197e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910047999999421 y[1] (analytic) = 3.57726648974575 y[1] (numeric) = 3.577266489745719 absolute error = 3.064215547965432e-14 relative error = 8.565801728076507e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920031999999414 y[1] (analytic) = 3.577852280369094 y[1] (numeric) = 3.577852280369064 absolute error = 2.97539770599542e-14 relative error = 8.316155818731776e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930015999999406 y[1] (analytic) = 3.578472179271162 y[1] (numeric) = 3.578472179271131 absolute error = 3.019806626980426e-14 relative error = 8.438815437697434e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.940127999999399 y[1] (analytic) = 3.579135748094994 y[1] (numeric) = 3.579135748094966 absolute error = 2.753353101070388e-14 relative error = 7.692787574586599e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950111999999392 y[1] (analytic) = 3.579827127482581 y[1] (numeric) = 3.579827127482551 absolute error = 2.930988785010413e-14 relative error = 8.187514873299354e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960095999999384 y[1] (analytic) = 3.580555416654454 y[1] (numeric) = 3.580555416654423 absolute error = 3.064215547965432e-14 relative error = 8.557933592404857e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970079999999377 y[1] (analytic) = 3.581321538214573 y[1] (numeric) = 3.581321538214542 absolute error = 3.108624468950438e-14 relative error = 8.680104357511019e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.98006399999937 y[1] (analytic) = 3.58212641099579 y[1] (numeric) = 3.582126410995759 absolute error = 3.064215547965432e-14 relative error = 8.554180384476201e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.990047999999362 y[1] (analytic) = 3.582970949968254 y[1] (numeric) = 3.582970949968223 absolute error = 3.064215547965432e-14 relative error = 8.552164086043125e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.000031999999355 y[1] (analytic) = 3.583856066148213 y[1] (numeric) = 3.583856066148183 absolute error = 2.97539770599542e-14 relative error = 8.302224339029495e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.010015999999365 y[1] (analytic) = 3.584782666507203 y[1] (numeric) = 3.584782666507171 absolute error = 3.153033389935445e-14 relative error = 8.795605433474078e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.020127999999375 y[1] (analytic) = 3.5857643559108 y[1] (numeric) = 3.585764355910767 absolute error = 3.241851231905457e-14 relative error = 9.040893126626032e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.030111999999385 y[1] (analytic) = 3.586777189671394 y[1] (numeric) = 3.586777189671361 absolute error = 3.286260152890463e-14 relative error = 9.162153039095068e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.040095999999395 y[1] (analytic) = 3.587834214792291 y[1] (numeric) = 3.587834214792258 absolute error = 3.286260152890463e-14 relative error = 9.159453743268106e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.050079999999405 y[1] (analytic) = 3.588936321109238 y[1] (numeric) = 3.588936321109205 absolute error = 3.241851231905457e-14 relative error = 9.032902625877445e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.060063999999415 y[1] (analytic) = 3.590084393964318 y[1] (numeric) = 3.590084393964282 absolute error = 3.641531520770513e-14 relative error = 1.014330339111996e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.070047999999425 y[1] (analytic) = 3.591279314117695 y[1] (numeric) = 3.591279314117658 absolute error = 3.68594044175552e-14 relative error = 1.026358609107819e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.080031999999435 y[1] (analytic) = 3.59252195765982 y[1] (numeric) = 3.592521957659782 absolute error = 3.863576125695545e-14 relative error = 1.075449550825373e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.090015999999445 y[1] (analytic) = 3.593813195924105 y[1] (numeric) = 3.593813195924064 absolute error = 4.085620730620576e-14 relative error = 1.136848385790962e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.100127999999455 y[1] (analytic) = 3.595171408737138 y[1] (numeric) = 3.595171408737095 absolute error = 4.352074256530614e-14 relative error = 1.210533174010568e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.110111999999465 y[1] (analytic) = 3.596563081719622 y[1] (numeric) = 3.596563081719578 absolute error = 4.485301019485632e-14 relative error = 1.247107562851665e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.120095999999475 y[1] (analytic) = 3.598005944964526 y[1] (numeric) = 3.598005944964481 absolute error = 4.529709940470639e-14 relative error = 1.258950098959689e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.130079999999485 y[1] (analytic) = 3.599500849847475 y[1] (numeric) = 3.599500849847429 absolute error = 4.529709940470639e-14 relative error = 1.258427245728413e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.140063999999495 y[1] (analytic) = 3.601048642556614 y[1] (numeric) = 3.601048642556568 absolute error = 4.574118861455645e-14 relative error = 1.270218571168254e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.150047999999505 y[1] (analytic) = 3.602650164008261 y[1] (numeric) = 3.602650164008216 absolute error = 4.485301019485632e-14 relative error = 1.245000434484414e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.160031999999515 y[1] (analytic) = 3.604306249763083 y[1] (numeric) = 3.604306249763037 absolute error = 4.618527782440651e-14 relative error = 1.281391608369637e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.170015999999525 y[1] (analytic) = 3.606017729942808 y[1] (numeric) = 3.60601772994276 absolute error = 4.75175454539567e-14 relative error = 1.317729113181879e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.180127999999535 y[1] (analytic) = 3.607808460530053 y[1] (numeric) = 3.607808460530004 absolute error = 4.884981308350689e-14 relative error = 1.354002398351546e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.190111999999545 y[1] (analytic) = 3.609633934305119 y[1] (numeric) = 3.609633934305068 absolute error = 5.151434834260726e-14 relative error = 1.427134974907757e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.200095999999555 y[1] (analytic) = 3.611517269801735 y[1] (numeric) = 3.611517269801678 absolute error = 5.639932965095795e-14 relative error = 1.561651943977944e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.210079999999565 y[1] (analytic) = 3.613459274489504 y[1] (numeric) = 3.613459274489446 absolute error = 5.81756864903582e-14 relative error = 1.609972109027769e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.220063999999575 y[1] (analytic) = 3.615460749989919 y[1] (numeric) = 3.615460749989858 absolute error = 6.039613253960852e-14 relative error = 1.670496147407407e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.230047999999585 y[1] (analytic) = 3.617522491996456 y[1] (numeric) = 3.617522491996393 absolute error = 6.306066779870889e-14 relative error = 1.743200434502528e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.240031999999595 y[1] (analytic) = 3.61964529019526 y[1] (numeric) = 3.619645290195195 absolute error = 6.52811138479592e-14 relative error = 1.803522406595748e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.250015999999605 y[1] (analytic) = 3.62182992818643 y[1] (numeric) = 3.621829928186362 absolute error = 6.750155989720952e-14 relative error = 1.863741844195588e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.260127999999615 y[1] (analytic) = 3.62410640427492 y[1] (numeric) = 3.624106404274851 absolute error = 6.927791673660977e-14 relative error = 1.911586167969323e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.270111999999625 y[1] (analytic) = 3.626417865568579 y[1] (numeric) = 3.626417865568508 absolute error = 7.149836278586008e-14 relative error = 1.971597467150962e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.280095999999635 y[1] (analytic) = 3.628793489925359 y[1] (numeric) = 3.628793489925285 absolute error = 7.371880883511039e-14 relative error = 2.031496392389822e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.290079999999645 y[1] (analytic) = 3.631234035743792 y[1] (numeric) = 3.631234035743716 absolute error = 7.549516567451064e-14 relative error = 2.079049847279999e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.300063999999655 y[1] (analytic) = 3.633740254951075 y[1] (numeric) = 3.633740254950998 absolute error = 7.682743330406083e-14 relative error = 2.114279720444555e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.310047999999665 y[1] (analytic) = 3.636312892928121 y[1] (numeric) = 3.63631289292804 absolute error = 8.038014698286133e-14 relative error = 2.210484888117966e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.320031999999675 y[1] (analytic) = 3.638952688435256 y[1] (numeric) = 3.638952688435172 absolute error = 8.393286066166183e-14 relative error = 2.306511456672794e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.330015999999685 y[1] (analytic) = 3.641660373538584 y[1] (numeric) = 3.641660373538499 absolute error = 8.570921750106208e-14 relative error = 2.353575257150596e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.340127999999695 y[1] (analytic) = 3.644472715741805 y[1] (numeric) = 3.644472715741719 absolute error = 8.615330671091215e-14 relative error = 2.363944346154236e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.350111999999705 y[1] (analytic) = 3.647319242618432 y[1] (numeric) = 3.647319242618342 absolute error = 8.926193117986259e-14 relative error = 2.447329812450992e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.360095999999715 y[1] (analytic) = 3.650235823475109 y[1] (numeric) = 3.650235823475017 absolute error = 9.281464485866309e-14 relative error = 2.542702700514878e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.370079999999725 y[1] (analytic) = 3.653223162788136 y[1] (numeric) = 3.653223162788042 absolute error = 9.414691248821327e-14 relative error = 2.577091743181669e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.380063999999735 y[1] (analytic) = 3.656281957980647 y[1] (numeric) = 3.656281957980549 absolute error = 9.725553695716371e-14 relative error = 2.659957248233603e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.390047999999745 y[1] (analytic) = 3.659412899353096 y[1] (numeric) = 3.659412899352996 absolute error = 9.947598300641403e-14 relative error = 2.71835908497779e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.400031999999755 y[1] (analytic) = 3.662616670014446 y[1] (numeric) = 3.662616670014344 absolute error = 1.021405182655144e-13 relative error = 2.788730775506232e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.410015999999765 y[1] (analytic) = 3.665893945814082 y[1] (numeric) = 3.665893945813975 absolute error = 1.06581410364015e-13 relative error = 2.907378444095894e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.420127999999775 y[1] (analytic) = 3.669288847031082 y[1] (numeric) = 3.669288847030972 absolute error = 1.096900348329655e-13 relative error = 2.989408558601718e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.430111999999785 y[1] (analytic) = 3.672716094961287 y[1] (numeric) = 3.672716094961174 absolute error = 1.13242748511766e-13 relative error = 3.083351546478836e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.440095999999795 y[1] (analytic) = 3.676218839682069 y[1] (numeric) = 3.676218839681952 absolute error = 1.167954621905665e-13 relative error = 3.177054122291243e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.450079999999805 y[1] (analytic) = 3.679797727241246 y[1] (numeric) = 3.679797727241126 absolute error = 1.194599974496668e-13 relative error = 3.246374021194538e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.460063999999815 y[1] (analytic) = 3.683453396096762 y[1] (numeric) = 3.68345339609664 absolute error = 1.216804434989172e-13 relative error = 3.303433772987546e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.470047999999825 y[1] (analytic) = 3.687186477053047 y[1] (numeric) = 3.687186477052921 absolute error = 1.256772463875677e-13 relative error = 3.408486312523423e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.480031999999835 y[1] (analytic) = 3.690997593198134 y[1] (numeric) = 3.690997593198006 absolute error = 1.283417816466681e-13 relative error = 3.477157012596802e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.490015999999845 y[1] (analytic) = 3.694887359841557 y[1] (numeric) = 3.694887359841425 absolute error = 1.314504061156185e-13 relative error = 3.557629592293048e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.500127999999855 y[1] (analytic) = 3.69890778658174 y[1] (numeric) = 3.698907786581605 absolute error = 1.354472090042691e-13 relative error = 3.661816320364112e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.510111999999865 y[1] (analytic) = 3.702957696403165 y[1] (numeric) = 3.702957696403026 absolute error = 1.394440118929197e-13 relative error = 3.765746825257209e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.520095999999875 y[1] (analytic) = 3.707088062903872 y[1] (numeric) = 3.707088062903728 absolute error = 1.447730824111204e-13 relative error = 3.90530464759759e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.530079999999885 y[1] (analytic) = 3.711299469570701 y[1] (numeric) = 3.711299469570553 absolute error = 1.483257960899209e-13 relative error = 3.996600040122288e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.540063999999895 y[1] (analytic) = 3.715592491812452 y[1] (numeric) = 3.715592491812298 absolute error = 1.536548666081217e-13 relative error = 4.13540685494198e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.550047999999905 y[1] (analytic) = 3.719967696902533 y[1] (numeric) = 3.719967696902374 absolute error = 1.589839371263224e-13 relative error = 4.273798862788564e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.560031999999915 y[1] (analytic) = 3.724425643922413 y[1] (numeric) = 3.724425643922248 absolute error = 1.652011860642233e-13 relative error = 4.435615095009392e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.570015999999925 y[1] (analytic) = 3.728966883705892 y[1] (numeric) = 3.728966883705723 absolute error = 1.687538997430238e-13 relative error = 4.525486683199346e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.580127999999935 y[1] (analytic) = 3.733651801249988 y[1] (numeric) = 3.733651801249816 absolute error = 1.718625242119742e-13 relative error = 4.603067810298658e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.590111999999945 y[1] (analytic) = 3.738362330889068 y[1] (numeric) = 3.738362330888894 absolute error = 1.736388810513745e-13 relative error = 4.644784685974492e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.600095999999955 y[1] (analytic) = 3.743157762447956 y[1] (numeric) = 3.743157762447778 absolute error = 1.77635683940025e-13 relative error = 4.745610396711001e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.610079999999965 y[1] (analytic) = 3.748038613120185 y[1] (numeric) = 3.748038613120001 absolute error = 1.84297022087776e-13 relative error = 4.917159109370848e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.620063999999975 y[1] (analytic) = 3.753005391584763 y[1] (numeric) = 3.753005391584577 absolute error = 1.865174681370263e-13 relative error = 4.969816152016411e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.630047999999985 y[1] (analytic) = 3.758058597955462 y[1] (numeric) = 3.758058597955272 absolute error = 1.905142710256769e-13 relative error = 5.069486439868831e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.640031999999995 y[1] (analytic) = 3.76319872373097 y[1] (numeric) = 3.763198723730774 absolute error = 1.953992523340276e-13 relative error = 5.192371348922592e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.650016000000005 y[1] (analytic) = 3.768426251745899 y[1] (numeric) = 3.768426251745699 absolute error = 2.002842336423782e-13 relative error = 5.314797750110865e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.660000000000015 y[1] (analytic) = 3.773741656122656 y[1] (numeric) = 3.773741656122449 absolute error = 2.065014825802791e-13 relative error = 5.472061985092265e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.670112000000025 y[1] (analytic) = 3.779215256571908 y[1] (numeric) = 3.779215256571695 absolute error = 2.1271873151818e-13 relative error = 5.62864820013283e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.680096000000035 y[1] (analytic) = 3.784708942320464 y[1] (numeric) = 3.784708942320246 absolute error = 2.180478020363807e-13 relative error = 5.761283241577152e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.690080000000045 y[1] (analytic) = 3.790291879738759 y[1] (numeric) = 3.790291879738537 absolute error = 2.220446049250313e-13 relative error = 5.858245538080709e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.700064000000055 y[1] (analytic) = 3.795964507522194 y[1] (numeric) = 3.795964507521966 absolute error = 2.273736754432321e-13 relative error = 5.989878856682189e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.710048000000065 y[1] (analytic) = 3.801727255425885 y[1] (numeric) = 3.801727255425653 absolute error = 2.327027459614328e-13 relative error = 6.120974239520096e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.720032000000075 y[1] (analytic) = 3.807580544221828 y[1] (numeric) = 3.80758054422159 absolute error = 2.380318164796336e-13 relative error = 6.251524129695888e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.730016000000085 y[1] (analytic) = 3.813524785656951 y[1] (numeric) = 3.813524785656706 absolute error = 2.442490654175344e-13 relative error = 6.404811274235837e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.740000000000095 y[1] (analytic) = 3.819560382412077 y[1] (numeric) = 3.819560382411827 absolute error = 2.504663143554353e-13 relative error = 6.557464453468444e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.750112000000105 y[1] (analytic) = 3.825766881133806 y[1] (numeric) = 3.82576688113355 absolute error = 2.557953848736361e-13 relative error = 6.68612053010999e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.760096000000115 y[1] (analytic) = 3.831987543759569 y[1] (numeric) = 3.831987543759308 absolute error = 2.606803661819868e-13 relative error = 6.802745656271963e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.770080000000125 y[1] (analytic) = 3.838300719705363 y[1] (numeric) = 3.838300719705098 absolute error = 2.651212582804874e-13 relative error = 6.907256039616372e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.780064000000135 y[1] (analytic) = 3.84470677487683 y[1] (numeric) = 3.84470677487656 absolute error = 2.700062395888381e-13 relative error = 7.022804478957645e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.790048000000145 y[1] (analytic) = 3.851206065921464 y[1] (numeric) = 3.851206065921188 absolute error = 2.762234885267389e-13 relative error = 7.17238921518597e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.800032000000155 y[1] (analytic) = 3.85779894019306 y[1] (numeric) = 3.857798940192776 absolute error = 2.833289158843399e-13 relative error = 7.344315250140046e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.810016000000165 y[1] (analytic) = 3.864485735717091 y[1] (numeric) = 3.8644857357168 absolute error = 2.913225216616411e-13 relative error = 7.538455090392086e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.820000000000175 y[1] (analytic) = 3.871266781157013 y[1] (numeric) = 3.871266781156715 absolute error = 2.97983859809392e-13 relative error = 7.697321746457707e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.830112000000185 y[1] (analytic) = 3.878231160031464 y[1] (numeric) = 3.878231160031161 absolute error = 3.028688411177427e-13 relative error = 7.809458194216704e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.840096000000195 y[1] (analytic) = 3.885202872050845 y[1] (numeric) = 3.885202872050534 absolute error = 3.113065361048939e-13 relative error = 8.012619838833988e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.850080000000205 y[1] (analytic) = 3.892269767271012 y[1] (numeric) = 3.892269767270694 absolute error = 3.179678742526448e-13 relative error = 8.169214706707797e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.860064000000215 y[1] (analytic) = 3.899432136467301 y[1] (numeric) = 3.899432136466976 absolute error = 3.250733016102458e-13 relative error = 8.3364266958303e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.870048000000225 y[1] (analytic) = 3.906690260898255 y[1] (numeric) = 3.906690260897921 absolute error = 3.339550858072471e-13 relative error = 8.548286746706703e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.880032000000235 y[1] (analytic) = 3.914044412277593 y[1] (numeric) = 3.914044412277252 absolute error = 3.415046023746982e-13 relative error = 8.725108006017124e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.890016000000245 y[1] (analytic) = 3.921494852747121 y[1] (numeric) = 3.921494852746773 absolute error = 3.47721851312599e-13 relative error = 8.867074020740071e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.900000000000255 y[1] (analytic) = 3.929041834850604 y[1] (numeric) = 3.929041834850247 absolute error = 3.561595462997502e-13 relative error = 9.064793943923294e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.910112000000265 y[1] (analytic) = 3.936784227911394 y[1] (numeric) = 3.936784227911028 absolute error = 3.659295089164516e-13 relative error = 9.295137547088538e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.920096000000275 y[1] (analytic) = 3.944526257687719 y[1] (numeric) = 3.944526257687345 absolute error = 3.734790254839027e-13 relative error = 9.468285950841561e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.930080000000285 y[1] (analytic) = 3.952365531697922 y[1] (numeric) = 3.952365531697541 absolute error = 3.810285420513537e-13 relative error = 9.640518798059277e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.940064000000295 y[1] (analytic) = 3.960302263727064 y[1] (numeric) = 3.960302263726675 absolute error = 3.890221478286549e-13 relative error = 9.823041826674708e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.950048000000305 y[1] (analytic) = 3.968336657845644 y[1] (numeric) = 3.968336657845246 absolute error = 3.983480212355062e-13 relative error = 1.003816096217411e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.960032000000315 y[1] (analytic) = 3.976468908389262 y[1] (numeric) = 3.976468908388856 absolute error = 4.054534485931072e-13 relative error = 1.019631884302456e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.970016000000325 y[1] (analytic) = 3.984699199939243 y[1] (numeric) = 3.984699199938829 absolute error = 4.143352327901084e-13 relative error = 1.039815584565144e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.980000000000335 y[1] (analytic) = 3.993027707304244 y[1] (numeric) = 3.993027707303822 absolute error = 4.214406601477094e-13 relative error = 1.055441361893857e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 2.990112000000345 y[1] (analytic) = 4.001563271949251 y[1] (numeric) = 4.001563271948817 absolute error = 4.334310688136611e-13 relative error = 1.083154355828859e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.000096000000355 y[1] (analytic) = 4.010089960440992 y[1] (numeric) = 4.01008996044055 absolute error = 4.423128530106624e-13 relative error = 1.102999826373025e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.010080000000365 y[1] (analytic) = 4.018715332168464 y[1] (numeric) = 4.018715332168012 absolute error = 4.511946372076636e-13 relative error = 1.122733510373334e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.020064000000375 y[1] (analytic) = 4.027439522558955 y[1] (numeric) = 4.027439522558494 absolute error = 4.60964599824365e-13 relative error = 1.144559954885374e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.030048000000385 y[1] (analytic) = 4.036262657189567 y[1] (numeric) = 4.036262657189097 absolute error = 4.698463840213662e-13 relative error = 1.164062956072632e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.040032000000395 y[1] (analytic) = 4.045184851774694 y[1] (numeric) = 4.045184851774215 absolute error = 4.796163466380676e-13 relative error = 1.185647539512691e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.050016000000405 y[1] (analytic) = 4.054206212154495 y[1] (numeric) = 4.054206212154005 absolute error = 4.89386309254769e-13 relative error = 1.207107590599587e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.060000000000415 y[1] (analytic) = 4.063326834284335 y[1] (numeric) = 4.063326834283837 absolute error = 4.982680934517703e-13 relative error = 1.226256498117827e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.070112000000425 y[1] (analytic) = 4.072665654320079 y[1] (numeric) = 4.072665654319572 absolute error = 5.071498776487715e-13 relative error = 1.245252914662446e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.080096000000435 y[1] (analytic) = 4.081986323347661 y[1] (numeric) = 4.081986323347144 absolute error = 5.169198402654729e-13 relative error = 1.266343880940649e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.090080000000445 y[1] (analytic) = 4.091406483376884 y[1] (numeric) = 4.091406483376354 absolute error = 5.293543381412746e-13 relative error = 1.293819962137731e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.100064000000455 y[1] (analytic) = 4.100926190610991 y[1] (numeric) = 4.100926190610451 absolute error = 5.400124791776761e-13 relative error = 1.316806141046934e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.110048000000465 y[1] (analytic) = 4.110545491330424 y[1] (numeric) = 4.110545491329872 absolute error = 5.515587986337778e-13 relative error = 1.341814121257322e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.120032000000475 y[1] (analytic) = 4.120264421888194 y[1] (numeric) = 4.120264421887629 absolute error = 5.657696533489798e-13 relative error = 1.37313918578484e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.130016000000485 y[1] (analytic) = 4.130083008706274 y[1] (numeric) = 4.130083008705697 absolute error = 5.764277943853813e-13 relative error = 1.395680893508104e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.140000000000495 y[1] (analytic) = 4.140001268272955 y[1] (numeric) = 4.140001268272366 absolute error = 5.88862292261183e-13 relative error = 1.422372250882989e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.150112000000505 y[1] (analytic) = 4.150148289412649 y[1] (numeric) = 4.150148289412046 absolute error = 6.03073146976385e-13 relative error = 1.453136381933319e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.160096000000515 y[1] (analytic) = 4.160267182030609 y[1] (numeric) = 4.160267182029996 absolute error = 6.128431095930864e-13 relative error = 1.473085940826426e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.170080000000525 y[1] (analytic) = 4.170485737013232 y[1] (numeric) = 4.170485737012609 absolute error = 6.226130722097878e-13 relative error = 1.492903012913031e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.180064000000535 y[1] (analytic) = 4.180803930980211 y[1] (numeric) = 4.180803930979582 absolute error = 6.288303211476887e-13 relative error = 1.504089480226489e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.190048000000545 y[1] (analytic) = 4.191221730619285 y[1] (numeric) = 4.191221730618641 absolute error = 6.439293542825908e-13 relative error = 1.536376254155958e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.200032000000555 y[1] (analytic) = 4.201739092689551 y[1] (numeric) = 4.201739092688897 absolute error = 6.536993168992922e-13 relative error = 1.55578274252354e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.210016000000565 y[1] (analytic) = 4.212355964025785 y[1] (numeric) = 4.212355964025122 absolute error = 6.634692795159935e-13 relative error = 1.575055112108593e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.220000000000575 y[1] (analytic) = 4.223072281543733 y[1] (numeric) = 4.22307228154306 absolute error = 6.732392421326949e-13 relative error = 1.594193035897065e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.230112000000585 y[1] (analytic) = 4.234027279771597 y[1] (numeric) = 4.234027279770915 absolute error = 6.821210263296962e-13 relative error = 1.611045421432648e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.240096000000595 y[1] (analytic) = 4.244943533127515 y[1] (numeric) = 4.244943533126818 absolute error = 6.963318810448982e-13 relative error = 1.640379608375773e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.250080000000605 y[1] (analytic) = 4.255958982712093 y[1] (numeric) = 4.255958982711387 absolute error = 7.061018436615996e-13 relative error = 1.659089870296727e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.260064000000615 y[1] (analytic) = 4.267073525711027 y[1] (numeric) = 4.267073525710313 absolute error = 7.149836278586008e-13 relative error = 1.67558309822998e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.270048000000625 y[1] (analytic) = 4.278287049432439 y[1] (numeric) = 4.278287049431714 absolute error = 7.247535904753022e-13 relative error = 1.694027497690807e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.280032000000635 y[1] (analytic) = 4.289599431318106 y[1] (numeric) = 4.28959943131737 absolute error = 7.354117315117037e-13 relative error = 1.714406539087326e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.290016000000645 y[1] (analytic) = 4.301010538955682 y[1] (numeric) = 4.301010538954935 absolute error = 7.469580509678053e-13 relative error = 1.7367036053559e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.300000000000655 y[1] (analytic) = 4.312520230091893 y[1] (numeric) = 4.31252023009114 absolute error = 7.531752999057062e-13 relative error = 1.746485256231847e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.310112000000665 y[1] (analytic) = 4.324277813096089 y[1] (numeric) = 4.324277813095326 absolute error = 7.638334409421077e-13 relative error = 1.766383830911223e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.320096000000675 y[1] (analytic) = 4.3359854639499 y[1] (numeric) = 4.335985463949123 absolute error = 7.771561172376096e-13 relative error = 1.792340227380867e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.330080000000685 y[1] (analytic) = 4.347791210379022 y[1] (numeric) = 4.347791210378232 absolute error = 7.895906151134113e-13 relative error = 1.816072982595174e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.340064000000695 y[1] (analytic) = 4.359694870792815 y[1] (numeric) = 4.359694870792015 absolute error = 8.002487561498128e-13 relative error = 1.835561386442365e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.350048000000705 y[1] (analytic) = 4.371696253840627 y[1] (numeric) = 4.371696253839814 absolute error = 8.126832540256146e-13 relative error = 1.858965506379029e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.360032000000715 y[1] (analytic) = 4.383795158430869 y[1] (numeric) = 4.383795158430045 absolute error = 8.233413950620161e-13 relative error = 1.878147507596414e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.370016000000725 y[1] (analytic) = 4.395991373751061 y[1] (numeric) = 4.395991373750227 absolute error = 8.339995360984176e-13 relative error = 1.897181921416677e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.380000000000735 y[1] (analytic) = 4.408284679288847 y[1] (numeric) = 4.408284679287998 absolute error = 8.482103908136196e-13 relative error = 1.924127982928849e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.390112000000745 y[1] (analytic) = 4.420834320953873 y[1] (numeric) = 4.420834320953009 absolute error = 8.633094239485217e-13 relative error = 1.952820126862948e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.400096000000755 y[1] (analytic) = 4.43332234382225 y[1] (numeric) = 4.433322343821374 absolute error = 8.757439218243235e-13 relative error = 1.975367126292217e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.410080000000765 y[1] (analytic) = 4.445906734135672 y[1] (numeric) = 4.445906734134782 absolute error = 8.899547765395255e-13 relative error = 2.001739644483436e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.420064000000775 y[1] (analytic) = 4.458587232688719 y[1] (numeric) = 4.458587232687814 absolute error = 9.041656312547275e-13 relative error = 2.027919571979479e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.430048000000785 y[1] (analytic) = 4.471363570695956 y[1] (numeric) = 4.47136357069504 absolute error = 9.166001291305292e-13 relative error = 2.049934241844402e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.440032000000795 y[1] (analytic) = 4.484235469818731 y[1] (numeric) = 4.484235469817802 absolute error = 9.29034627006331e-13 relative error = 2.071779310563024e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.450016000000805 y[1] (analytic) = 4.497202642192908 y[1] (numeric) = 4.497202642191965 absolute error = 9.43245481721533e-13 relative error = 2.097404890924798e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.460000000000815 y[1] (analytic) = 4.510264790457574 y[1] (numeric) = 4.510264790456617 absolute error = 9.57456336436735e-13 relative error = 2.122838416188863e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.470112000000825 y[1] (analytic) = 4.523590898195483 y[1] (numeric) = 4.523590898194511 absolute error = 9.71667191151937e-13 relative error = 2.147999704260496e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.480096000000835 y[1] (analytic) = 4.536843275877313 y[1] (numeric) = 4.536843275876331 absolute error = 9.823253321883385e-13 relative error = 2.165217690924933e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.490080000000845 y[1] (analytic) = 4.550189676451133 y[1] (numeric) = 4.550189676450141 absolute error = 9.920952948050399e-13 relative error = 2.180338327299826e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.500064000000855 y[1] (analytic) = 4.563629764754779 y[1] (numeric) = 4.563629764753769 absolute error = 1.009858863199042e-12 relative error = 2.212841346154437e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.510048000000865 y[1] (analytic) = 4.577163196287344 y[1] (numeric) = 4.577163196286318 absolute error = 1.025846074753645e-12 relative error = 2.241226783405352e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.520032000000875 y[1] (analytic) = 4.590789617243525 y[1] (numeric) = 4.590789617242486 absolute error = 1.039168751049147e-12 relative error = 2.263594801090233e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.530016000000885 y[1] (analytic) = 4.604508664548883 y[1] (numeric) = 4.60450866454783 absolute error = 1.052491427344648e-12 relative error = 2.285784443078606e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.540000000000895 y[1] (analytic) = 4.618319965896039 y[1] (numeric) = 4.618319965894973 absolute error = 1.06581410364015e-12 relative error = 2.307796149921723e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.550112000000905 y[1] (analytic) = 4.632401980385788 y[1] (numeric) = 4.632401980384707 absolute error = 1.080913136775052e-12 relative error = 2.333375085650562e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.560096000000915 y[1] (analytic) = 4.64639780641759 y[1] (numeric) = 4.646397806416492 absolute error = 1.097788526749355e-12 relative error = 2.362665816588267e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.570080000000925 y[1] (analytic) = 4.660484709362683 y[1] (numeric) = 4.660484709361572 absolute error = 1.111111203044857e-12 relative error = 2.384110821805057e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.580064000000935 y[1] (analytic) = 4.67466228024605 y[1] (numeric) = 4.674662280244922 absolute error = 1.127986593019159e-12 relative error = 2.412979859070777e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.590048000000945 y[1] (analytic) = 4.688930101054943 y[1] (numeric) = 4.688930101053804 absolute error = 1.138644734055561e-12 relative error = 2.428367899532948e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.600032000000955 y[1] (analytic) = 4.703287744780555 y[1] (numeric) = 4.703287744779398 absolute error = 1.157296480869263e-12 relative error = 2.460611690521308e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.610016000000965 y[1] (analytic) = 4.71773477546058 y[1] (numeric) = 4.71773477545941 absolute error = 1.170619157164765e-12 relative error = 2.481316167355933e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.620000000000975 y[1] (analytic) = 4.732270748222675 y[1] (numeric) = 4.732270748221486 absolute error = 1.188382725558768e-12 relative error = 2.511231475935934e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.630112000000985 y[1] (analytic) = 4.747083274919622 y[1] (numeric) = 4.747083274918415 absolute error = 1.20703447237247e-12 relative error = 2.542686535013245e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.640096000000995 y[1] (analytic) = 4.76179688730557 y[1] (numeric) = 4.761796887304347 absolute error = 1.223021683927072e-12 relative error = 2.568403720006443e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.650080000001005 y[1] (analytic) = 4.776598048044675 y[1] (numeric) = 4.776598048043435 absolute error = 1.239897073901375e-12 relative error = 2.595774359554774e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.660064000001015 y[1] (analytic) = 4.791486276965111 y[1] (numeric) = 4.791486276963853 absolute error = 1.258548820715077e-12 relative error = 2.626635553075678e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.670048000001025 y[1] (analytic) = 4.806461085216144 y[1] (numeric) = 4.806461085214875 absolute error = 1.269206961751479e-12 relative error = 2.640626729831109e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.680032000001035 y[1] (analytic) = 4.821521975316863 y[1] (numeric) = 4.821521975315577 absolute error = 1.285194173306081e-12 relative error = 2.665536276481702e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.690016000001045 y[1] (analytic) = 4.836668441205766 y[1] (numeric) = 4.836668441204469 absolute error = 1.296740492762183e-12 relative error = 2.681061372151674e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.700000000001055 y[1] (analytic) = 4.851899968291207 y[1] (numeric) = 4.851899968289895 absolute error = 1.311839525897085e-12 relative error = 2.703764575672203e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.710112000001065 y[1] (analytic) = 4.867412939865535 y[1] (numeric) = 4.867412939864211 absolute error = 1.323385845353187e-12 relative error = 2.718869061867075e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.720096000001075 y[1] (analytic) = 4.882814085226658 y[1] (numeric) = 4.882814085225321 absolute error = 1.337596700068389e-12 relative error = 2.739397152382667e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.730080000001085 y[1] (analytic) = 4.898298690370114 y[1] (numeric) = 4.898298690368762 absolute error = 1.351807554783591e-12 relative error = 2.759749129715584e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.740064000001095 y[1] (analytic) = 4.913866206998724 y[1] (numeric) = 4.913866206997358 absolute error = 1.366906587918493e-12 relative error = 2.781733426057946e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.750048000001105 y[1] (analytic) = 4.929516078550749 y[1] (numeric) = 4.929516078549365 absolute error = 1.384670156312495e-12 relative error = 2.808937295767135e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.760032000001115 y[1] (analytic) = 4.945247740255352 y[1] (numeric) = 4.945247740253948 absolute error = 1.404210081545898e-12 relative error = 2.839514126087827e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.770016000001125 y[1] (analytic) = 4.961060619188903 y[1] (numeric) = 4.961060619187477 absolute error = 1.425526363618701e-12 relative error = 2.873430649294836e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.780000000001135 y[1] (analytic) = 4.976954134332081 y[1] (numeric) = 4.976954134330644 absolute error = 1.436184504655103e-12 relative error = 2.885669559918181e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.790112000001145 y[1] (analytic) = 4.993133002997098 y[1] (numeric) = 4.993133002995644 absolute error = 1.453948073049105e-12 relative error = 2.911895341414662e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.800096000001155 y[1] (analytic) = 5.009187030089665 y[1] (numeric) = 5.009187030088199 absolute error = 1.465494392505207e-12 relative error = 2.925613245626754e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.810080000001165 y[1] (analytic) = 5.025319894535945 y[1] (numeric) = 5.025319894534463 absolute error = 1.482369782479509e-12 relative error = 2.949801830707926e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.820064000001175 y[1] (analytic) = 5.041530983420648 y[1] (numeric) = 5.04153098341915 absolute error = 1.497468815614411e-12 relative error = 2.970266017483419e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.830048000001185 y[1] (analytic) = 5.057819676031115 y[1] (numeric) = 5.057819676029601 absolute error = 1.513456027169013e-12 relative error = 2.992309184807922e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.840032000001195 y[1] (analytic) = 5.074185343919194 y[1] (numeric) = 5.074185343917663 absolute error = 1.530331417143316e-12 relative error = 3.01591548873404e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.850016000001205 y[1] (analytic) = 5.090627350963878 y[1] (numeric) = 5.090627350962333 absolute error = 1.545430450278218e-12 relative error = 3.035834964399035e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.860000000001215 y[1] (analytic) = 5.10714505343472 y[1] (numeric) = 5.107145053433155 absolute error = 1.564970375511621e-12 relative error = 3.064276340573346e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.870112000001225 y[1] (analytic) = 5.123951011934797 y[1] (numeric) = 5.123951011933217 absolute error = 1.580069408646523e-12 relative error = 3.083693432989889e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.880096000001235 y[1] (analytic) = 5.140619093300022 y[1] (numeric) = 5.140619093298421 absolute error = 1.600497512299626e-12 relative error = 3.11343338856913e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.890080000001245 y[1] (analytic) = 5.157360885300319 y[1] (numeric) = 5.157360885298703 absolute error = 1.615596545434528e-12 relative error = 3.132603246826017e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.900064000001255 y[1] (analytic) = 5.174175714322846 y[1] (numeric) = 5.174175714321218 absolute error = 1.62803104331033e-12 relative error = 3.146454881313193e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.910048000001265 y[1] (analytic) = 5.191062899474474 y[1] (numeric) = 5.191062899472829 absolute error = 1.644906433284632e-12 relative error = 3.168727609621445e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.920032000001275 y[1] (analytic) = 5.208021752649657 y[1] (numeric) = 5.208021752647992 absolute error = 1.664446358518035e-12 relative error = 3.195928199937382e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.930016000001285 y[1] (analytic) = 5.225051578599019 y[1] (numeric) = 5.225051578597339 absolute error = 1.679545391652937e-12 relative error = 3.214409209914957e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.940000000001295 y[1] (analytic) = 5.242151674998659 y[1] (numeric) = 5.242151674996964 absolute error = 1.695532603207539e-12 relative error = 3.234421108595589e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.950112000001305 y[1] (analytic) = 5.259541904843234 y[1] (numeric) = 5.259541904841525 absolute error = 1.708855279503041e-12 relative error = 3.24905725711482e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.960096000001315 y[1] (analytic) = 5.27678128517051 y[1] (numeric) = 5.276781285168781 absolute error = 1.729283383156144e-12 relative error = 3.277155693407265e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.970080000001325 y[1] (analytic) = 5.294088777917697 y[1] (numeric) = 5.294088777915951 absolute error = 1.746158773130446e-12 relative error = 3.29831789072728e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.980064000001335 y[1] (analytic) = 5.311463653083228 y[1] (numeric) = 5.311463653081464 absolute error = 1.763922341524449e-12 relative error = 3.320972253101115e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 3.990048000001345 y[1] (analytic) = 5.328905173948894 y[1] (numeric) = 5.328905173947112 absolute error = 1.781685909918451e-12 relative error = 3.343437069641386e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.000032000001355 y[1] (analytic) = 5.346412597153281 y[1] (numeric) = 5.346412597151479 absolute error = 1.801225835151854e-12 relative error = 3.369036344316045e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.010016000001365 y[1] (analytic) = 5.363985172765866 y[1] (numeric) = 5.363985172764051 absolute error = 1.815436689867056e-12 relative error = 3.384492371612859e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.020000000001375 y[1] (analytic) = 5.381622144361774 y[1] (numeric) = 5.381622144359944 absolute error = 1.830535723001958e-12 relative error = 3.401457170157843e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.030112000001385 y[1] (analytic) = 5.399550089717566 y[1] (numeric) = 5.399550089715716 absolute error = 1.850075648235361e-12 relative error = 3.426351487614652e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.040096000001395 y[1] (analytic) = 5.417314359332548 y[1] (numeric) = 5.417314359330681 absolute error = 1.866951038209663e-12 relative error = 3.446266755765093e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.050080000001405 y[1] (analytic) = 5.435140707465234 y[1] (numeric) = 5.435140707463348 absolute error = 1.885602785023366e-12 relative error = 3.4692805329464e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.060064000001415 y[1] (analytic) = 5.453028352394848 y[1] (numeric) = 5.453028352392943 absolute error = 1.905142710256769e-12 relative error = 3.493733366378102e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.070048000001425 y[1] (analytic) = 5.470976506290586 y[1] (numeric) = 5.470976506288663 absolute error = 1.922906278650771e-12 relative error = 3.514740515591309e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.080032000001435 y[1] (analytic) = 5.488984375290141 y[1] (numeric) = 5.488984375288203 absolute error = 1.938893490205373e-12 relative error = 3.532335597335137e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.090016000001445 y[1] (analytic) = 5.507051159578843 y[1] (numeric) = 5.507051159576885 absolute error = 1.958433415438776e-12 relative error = 3.556228839516627e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.100000000001455 y[1] (analytic) = 5.525176053469377 y[1] (numeric) = 5.525176053467399 absolute error = 1.978861519091879e-12 relative error = 3.581535683101553e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.110112000001465 y[1] (analytic) = 5.543591718958846 y[1] (numeric) = 5.543591718956853 absolute error = 1.992184195387381e-12 relative error = 3.593670487265858e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.120096000001475 y[1] (analytic) = 5.561831110686986 y[1] (numeric) = 5.561831110684973 absolute error = 2.012612299040484e-12 relative error = 3.618614551551693e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.130080000001485 y[1] (analytic) = 5.580126149939959 y[1] (numeric) = 5.580126149937925 absolute error = 2.033928581113287e-12 relative error = 3.644950896200029e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.140064000001495 y[1] (analytic) = 5.598476008278127 y[1] (numeric) = 5.598476008276076 absolute error = 2.051692149507289e-12 relative error = 3.664733306838462e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.150048000001505 y[1] (analytic) = 5.616879851797517 y[1] (numeric) = 5.616879851795448 absolute error = 2.068567539481592e-12 relative error = 3.682769783333727e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.160032000001515 y[1] (analytic) = 5.635336841212942 y[1] (numeric) = 5.635336841210855 absolute error = 2.086331107875594e-12 relative error = 3.702229638905729e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.170016000001525 y[1] (analytic) = 5.653846131941664 y[1] (numeric) = 5.653846131939561 absolute error = 2.103206497849897e-12 relative error = 3.719957085439122e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.180000000001535 y[1] (analytic) = 5.672406874187581 y[1] (numeric) = 5.67240687418546 absolute error = 2.121858244663599e-12 relative error = 3.740666513749506e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.190112000001545 y[1] (analytic) = 5.691257144688726 y[1] (numeric) = 5.691257144686587 absolute error = 2.138733634637902e-12 relative error = 3.757928310503138e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.200096000001555 y[1] (analytic) = 5.709918852195357 y[1] (numeric) = 5.709918852193204 absolute error = 2.152944489353104e-12 relative error = 3.770534301946054e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.210080000001565 y[1] (analytic) = 5.728629420279694 y[1] (numeric) = 5.728629420277525 absolute error = 2.169819879327406e-12 relative error = 3.787677156504682e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.220064000001575 y[1] (analytic) = 5.747387979082425 y[1] (numeric) = 5.747387979080234 absolute error = 2.190247982980509e-12 relative error = 3.810858064484075e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.230048000001585 y[1] (analytic) = 5.766193653960545 y[1] (numeric) = 5.766193653958337 absolute error = 2.208011551374511e-12 relative error = 3.829235859704305e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.240032000001595 y[1] (analytic) = 5.785045565574549 y[1] (numeric) = 5.785045565572323 absolute error = 2.226663298188214e-12 relative error = 3.848998720837336e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.250016000001605 y[1] (analytic) = 5.80394282997608 y[1] (numeric) = 5.803942829973834 absolute error = 2.246203223421617e-12 relative error = 3.870133268405875e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.260000000001615 y[1] (analytic) = 5.822884558696041 y[1] (numeric) = 5.822884558693775 absolute error = 2.265743148655019e-12 relative error = 3.891100923976421e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.270112000001625 y[1] (analytic) = 5.842113539097922 y[1] (numeric) = 5.842113539095637 absolute error = 2.285283073888422e-12 relative error = 3.911740260770919e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.280096000001635 y[1] (analytic) = 5.861142054668592 y[1] (numeric) = 5.861142054666288 absolute error = 2.303934820702125e-12 relative error = 3.930863301405509e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.290080000001645 y[1] (analytic) = 5.880212331328886 y[1] (numeric) = 5.880212331326561 absolute error = 2.325251102774928e-12 relative error = 3.954365882990891e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.300064000001655 y[1] (analytic) = 5.899323463363945 y[1] (numeric) = 5.899323463361602 absolute error = 2.34301467116893e-12 relative error = 3.971666727073961e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.310048000001665 y[1] (analytic) = 5.91847454098647 y[1] (numeric) = 5.918474540984106 absolute error = 2.363442774822033e-12 relative error = 3.993330981581114e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.320032000001675 y[1] (analytic) = 5.937664650427404 y[1] (numeric) = 5.937664650425019 absolute error = 2.385647235314536e-12 relative error = 4.017820769219112e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.330016000001685 y[1] (analytic) = 5.956892874027027 y[1] (numeric) = 5.956892874024621 absolute error = 2.406075338967639e-12 relative error = 4.039144886184708e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.340000000001695 y[1] (analytic) = 5.976158290326416 y[1] (numeric) = 5.976158290323995 absolute error = 2.421174372102541e-12 relative error = 4.051389294727495e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.350112000001706 y[1] (analytic) = 5.995707663067117 y[1] (numeric) = 5.995707663064677 absolute error = 2.439826118916244e-12 relative error = 4.069287990715921e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.360096000001715 y[1] (analytic) = 6.015045132667534 y[1] (numeric) = 6.015045132665076 absolute error = 2.458477865729947e-12 relative error = 4.087214329245886e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.370080000001725 y[1] (analytic) = 6.034416996741035 y[1] (numeric) = 6.034416996738556 absolute error = 2.47890596938305e-12 relative error = 4.107946087785804e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.380064000001735 y[1] (analytic) = 6.053822319510698 y[1] (numeric) = 6.053822319508197 absolute error = 2.501110429875553e-12 relative error = 4.131456620084128e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.390048000001745 y[1] (analytic) = 6.073260161864459 y[1] (numeric) = 6.073260161861942 absolute error = 2.517097641430155e-12 relative error = 4.144557575905688e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.400032000001755 y[1] (analytic) = 6.09272958144872 y[1] (numeric) = 6.092729581446179 absolute error = 2.540190280342358e-12 relative error = 4.169215532028184e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.410016000001765 y[1] (analytic) = 6.112229632762282 y[1] (numeric) = 6.112229632759722 absolute error = 2.559730205575761e-12 relative error = 4.187882915679903e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.420000000001775 y[1] (analytic) = 6.131759367250594 y[1] (numeric) = 6.131759367248015 absolute error = 2.579270130809164e-12 relative error = 4.206411204889922e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.430112000001786 y[1] (analytic) = 6.151568765350602 y[1] (numeric) = 6.151568765348005 absolute error = 2.597033699203166e-12 relative error = 4.221742125084009e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.440096000001795 y[1] (analytic) = 6.171155358695023 y[1] (numeric) = 6.171155358692405 absolute error = 2.617461802856269e-12 relative error = 4.241445322176702e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.450080000001805 y[1] (analytic) = 6.190768759888734 y[1] (numeric) = 6.190768759886097 absolute error = 2.637001728089672e-12 relative error = 4.259570709820966e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.460064000001815 y[1] (analytic) = 6.210408009078529 y[1] (numeric) = 6.21040800907587 absolute error = 2.659206188582175e-12 relative error = 4.281854243223442e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.470048000001825 y[1] (analytic) = 6.230072143834695 y[1] (numeric) = 6.230072143832014 absolute error = 2.681410649074678e-12 relative error = 4.303980093919479e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.480032000001835 y[1] (analytic) = 6.249760199246936 y[1] (numeric) = 6.249760199244235 absolute error = 2.700950574308081e-12 relative error = 4.321686733890257e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.490016000001845 y[1] (analytic) = 6.269471208020557 y[1] (numeric) = 6.269471208017838 absolute error = 2.718714142702083e-12 relative error = 4.336432934286424e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.500000000001855 y[1] (analytic) = 6.28920420057289 y[1] (numeric) = 6.289204200570154 absolute error = 2.735589532676386e-12 relative error = 4.349659265996163e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.510112000001866 y[1] (analytic) = 6.309211593777755 y[1] (numeric) = 6.309211593775002 absolute error = 2.753353101070388e-12 relative error = 4.364020860840662e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.520096000001876 y[1] (analytic) = 6.328985887038637 y[1] (numeric) = 6.328985887035864 absolute error = 2.772893026303791e-12 relative error = 4.381259613775567e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.530080000001885 y[1] (analytic) = 6.348779230046262 y[1] (numeric) = 6.34877923004347 absolute error = 2.792432951537194e-12 relative error = 4.398377783120434e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.540064000001895 y[1] (analytic) = 6.368590645010931 y[1] (numeric) = 6.368590645008119 absolute error = 2.811972876770596e-12 relative error = 4.415377017477891e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.550048000001905 y[1] (analytic) = 6.388419152341541 y[1] (numeric) = 6.388419152338711 absolute error = 2.829736445164599e-12 relative error = 4.429478369664299e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.560032000001915 y[1] (analytic) = 6.408263770743232 y[1] (numeric) = 6.40826377074038 absolute error = 2.851940905657102e-12 relative error = 4.450411231007012e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.570016000001925 y[1] (analytic) = 6.428123517315202 y[1] (numeric) = 6.42812351731233 absolute error = 2.872369009310205e-12 relative error = 4.468440909035132e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.580000000001935 y[1] (analytic) = 6.447997407648684 y[1] (numeric) = 6.447997407645792 absolute error = 2.891908934543608e-12 relative error = 4.484972235120929e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.590112000001946 y[1] (analytic) = 6.468139499210967 y[1] (numeric) = 6.468139499208059 absolute error = 2.90789614609821e-12 relative error = 4.495722682624482e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.600096000001956 y[1] (analytic) = 6.488038867921845 y[1] (numeric) = 6.488038867918915 absolute error = 2.930100606590713e-12 relative error = 4.516157603613803e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.610080000001965 y[1] (analytic) = 6.507949406423552 y[1] (numeric) = 6.507949406420606 absolute error = 2.946087818145315e-12 relative error = 4.526906455722341e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.620064000001975 y[1] (analytic) = 6.527870125244407 y[1] (numeric) = 6.52787012524144 absolute error = 2.967404100218118e-12 relative error = 4.545746228532721e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.630048000001985 y[1] (analytic) = 6.547800033897961 y[1] (numeric) = 6.547800033894973 absolute error = 2.988720382290921e-12 relative error = 4.564464960472702e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.640032000001995 y[1] (analytic) = 6.567738140981731 y[1] (numeric) = 6.567738140978721 absolute error = 3.010924842783425e-12 relative error = 4.584416701993173e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.650016000002005 y[1] (analytic) = 6.587683454276015 y[1] (numeric) = 6.587683454272983 absolute error = 3.032241124856228e-12 relative error = 4.602894395127657e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.660000000002015 y[1] (analytic) = 6.607634980842802 y[1] (numeric) = 6.607634980839751 absolute error = 3.05089287166993e-12 relative error = 4.617223682172574e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.670112000002026 y[1] (analytic) = 6.627847612405247 y[1] (numeric) = 6.627847612402172 absolute error = 3.075761867421534e-12 relative error = 4.640664733547395e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.680096000002036 y[1] (analytic) = 6.647808632043612 y[1] (numeric) = 6.647808632040516 absolute error = 3.095301792654936e-12 relative error = 4.656123489679043e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.690080000002046 y[1] (analytic) = 6.667772870068347 y[1] (numeric) = 6.667772870065229 absolute error = 3.11750625314744e-12 relative error = 4.675483574345994e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.700064000002055 y[1] (analytic) = 6.687739331655033 y[1] (numeric) = 6.687739331651898 absolute error = 3.134381643121742e-12 relative error = 4.686758092208818e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.710048000002065 y[1] (analytic) = 6.70770702175761 y[1] (numeric) = 6.707707021754455 absolute error = 3.154809746774845e-12 relative error = 4.703261094352619e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.720032000002075 y[1] (analytic) = 6.727674945207559 y[1] (numeric) = 6.727674945204385 absolute error = 3.173461493588547e-12 relative error = 4.717025598641852e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.730016000002085 y[1] (analytic) = 6.747642106813103 y[1] (numeric) = 6.747642106809913 absolute error = 3.19033688356285e-12 relative error = 4.728076612631192e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.740000000002095 y[1] (analytic) = 6.767607511458401 y[1] (numeric) = 6.76760751145519 absolute error = 3.210764987215953e-12 relative error = 4.744313232970039e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.750112000002106 y[1] (analytic) = 6.787826073448477 y[1] (numeric) = 6.787826073445244 absolute error = 3.232081269288756e-12 relative error = 4.761585276811216e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.760096000002116 y[1] (analytic) = 6.807784925136271 y[1] (numeric) = 6.807784925133017 absolute error = 3.254285729781259e-12 relative error = 4.780241687373985e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.770080000002126 y[1] (analytic) = 6.827739023219288 y[1] (numeric) = 6.827739023216013 absolute error = 3.274713833434362e-12 relative error = 4.796190689623532e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.780064000002135 y[1] (analytic) = 6.847687373883852 y[1] (numeric) = 6.847687373880554 absolute error = 3.297806472346565e-12 relative error = 4.815941926502005e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.790048000002145 y[1] (analytic) = 6.867628983889188 y[1] (numeric) = 6.867628983885873 absolute error = 3.314681862320867e-12 relative error = 4.826530189817766e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.800032000002155 y[1] (analytic) = 6.887562860666427 y[1] (numeric) = 6.887562860663094 absolute error = 3.33333360913457e-12 relative error = 4.839641650562073e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.810016000002165 y[1] (analytic) = 6.907488012417544 y[1] (numeric) = 6.90748801241419 absolute error = 3.354649891207373e-12 relative error = 4.856541025010455e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.820000000002175 y[1] (analytic) = 6.927403448214218 y[1] (numeric) = 6.927403448210847 absolute error = 3.370637102761975e-12 relative error = 4.865657281200903e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.830112000002186 y[1] (analytic) = 6.947563293124894 y[1] (numeric) = 6.947563293121504 absolute error = 3.390177027995378e-12 relative error = 4.879663394143093e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.840096000002196 y[1] (analytic) = 6.967456171851548 y[1] (numeric) = 6.967456171848138 absolute error = 3.410605131648481e-12 relative error = 4.89505071510502e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.850080000002206 y[1] (analytic) = 6.987336355389123 y[1] (numeric) = 6.987336355385694 absolute error = 3.429256878462184e-12 relative error = 4.907817090867968e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.860064000002216 y[1] (analytic) = 7.007202857291706 y[1] (numeric) = 7.007202857288257 absolute error = 3.449684982115286e-12 relative error = 4.923055679093889e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.870048000002225 y[1] (analytic) = 7.02705469247716 y[1] (numeric) = 7.027054692473692 absolute error = 3.467448550509289e-12 relative error = 4.934426587317414e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.880032000002235 y[1] (analytic) = 7.046890877325316 y[1] (numeric) = 7.046890877321825 absolute error = 3.490541189421492e-12 relative error = 4.953306713820358e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.890016000002245 y[1] (analytic) = 7.066710429776026 y[1] (numeric) = 7.066710429772512 absolute error = 3.513633828333695e-12 relative error = 4.97209255034532e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.900000000002255 y[1] (analytic) = 7.086512369427046 y[1] (numeric) = 7.086512369423512 absolute error = 3.534061931986798e-12 relative error = 4.987025701434755e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.910112000002266 y[1] (analytic) = 7.106549225340222 y[1] (numeric) = 7.106549225336672 absolute error = 3.550049143541401e-12 relative error = 4.995461272375052e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.920096000002276 y[1] (analytic) = 7.126312748096977 y[1] (numeric) = 7.126312748093406 absolute error = 3.570477247194503e-12 relative error = 5.01027301692305e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.930080000002286 y[1] (analytic) = 7.14605571528624 y[1] (numeric) = 7.146055715282646 absolute error = 3.593569886106707e-12 relative error = 5.028745967400793e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.940064000002296 y[1] (analytic) = 7.165777154139742 y[1] (numeric) = 7.16577715413613 absolute error = 3.612221632920409e-12 relative error = 5.040934926135112e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.950048000002305 y[1] (analytic) = 7.185476094035151 y[1] (numeric) = 7.185476094031518 absolute error = 3.632649736573512e-12 relative error = 5.055544947938896e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.960032000002315 y[1] (analytic) = 7.205151566592814 y[1] (numeric) = 7.205151566589162 absolute error = 3.652189661806915e-12 relative error = 5.068858896377067e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.970016000002325 y[1] (analytic) = 7.22480260577229 y[1] (numeric) = 7.22480260576862 absolute error = 3.669953230200917e-12 relative error = 5.079658823161191e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.980000000002335 y[1] (analytic) = 7.244428247968643 y[1] (numeric) = 7.244428247964954 absolute error = 3.68860497701462e-12 relative error = 5.09164402042206e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 4.990112000002346 y[1] (analytic) = 7.26427862967609 y[1] (numeric) = 7.264278629672382 absolute error = 3.708144902248023e-12 relative error = 5.104629229252688e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 0.000128 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = 1.0 - sin ( x ) ; Iterations = 38282 Total Elapsed Time = 1.0 Seconds Elapsed Time(since restart) = 1.0 Seconds Time to Timeout = 9 Minutes 59.0 Seconds Percent Done = 100 %