##############ECHO OF PROBLEM################# ##############temp/lin_sinhpostode.ode################# diff ( y , x , 1 ) = sinh ( 2.0 * x + 3.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=40; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=0.1; x_end=2.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_min_h=0.000000001; 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(cosh(2.0*x+3.0)/2.0); } /* 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-09 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 1.9 estimated_steps = 1900000000 step_error = 5.735393346764044e-17 est_needed_step_err = 5.735393346764044e-17 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 1e-09 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 1900000000 step_error = 3.523437443632149e-16 est_needed_step_err = 3.523437443632149e-16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 2e-09 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 949999999.9999999 step_error = 4.982893018957772e-16 est_needed_step_err = 4.982893018957772e-16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 4e-09 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 474999999.9999999 step_error = 7.046874887264298e-16 est_needed_step_err = 7.046874887264298e-16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 0 estimated_step_error = 0 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 8e-09 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 237500000 step_error = 9.965786037915544e-16 est_needed_step_err = 9.965786037915544e-16 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.705492343809349e-322 estimated_step_error = 3.705492343809349e-322 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 1.6e-08 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 118750000 step_error = 1.40937497745286e-15 est_needed_step_err = 1.40937497745286e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.530855952296347e-311 estimated_step_error = 2.530855952296347e-311 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 3.2e-08 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 59374999.99999999 step_error = 1.993157207583109e-15 est_needed_step_err = 1.993157207583109e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.739190966610385e-300 estimated_step_error = 1.739190966610385e-300 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 6.4e-08 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 29687500 step_error = 2.818749954905719e-15 est_needed_step_err = 2.818749954905719e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.195162930664212e-289 estimated_step_error = 1.195162930664212e-289 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 1.28e-07 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 14843750 step_error = 3.986314415166218e-15 est_needed_step_err = 3.986314415166218e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.21309710679158e-279 estimated_step_error = 8.21309710679158e-279 Double H and LOOP opt_iter = 9 NO POLE (given) for Equation 1 NO 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 2.56e-07 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 7421874.999999999 step_error = 5.637499909811438e-15 est_needed_step_err = 5.637499909811438e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.643997336146326e-268 estimated_step_error = 5.643997336146326e-268 Double H and LOOP opt_iter = 10 NO POLE (given) for Equation 1 NO 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 5.12e-07 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 3710937.5 step_error = 7.972628830332435e-15 est_needed_step_err = 7.972628830332435e-15 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 3.878525409647358e-257 estimated_step_error = 3.878525409647358e-257 Double H and LOOP opt_iter = 11 NO POLE (given) for Equation 1 NO 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 1.024e-06 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 1855468.75 step_error = 1.127499981962288e-14 est_needed_step_err = 1.127499981962288e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.665302329822801e-246 estimated_step_error = 2.665302329822801e-246 Double H and LOOP opt_iter = 12 NO POLE (given) for Equation 1 NO 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 2.048e-06 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 927734.3749999999 step_error = 1.594525766066487e-14 est_needed_step_err = 1.594525766066487e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.831581763964546e-235 estimated_step_error = 1.831581763964546e-235 Double H and LOOP opt_iter = 13 NO POLE (given) for Equation 1 NO 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 4.096e-06 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 463867.1874999999 step_error = 2.254999963924575e-14 est_needed_step_err = 2.254999963924575e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.258653334751384e-224 estimated_step_error = 1.258653334751384e-224 Double H and LOOP opt_iter = 14 NO POLE (given) for Equation 1 NO 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 8.192000000000001e-06 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 231933.59375 step_error = 3.189051532132974e-14 est_needed_step_err = 3.189051532132974e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 8.649398901277944e-214 estimated_step_error = 8.649398901277944e-214 Double H and LOOP opt_iter = 15 NO POLE (given) for Equation 1 NO 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 1.6384e-05 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 115966.796875 step_error = 4.509999927849151e-14 est_needed_step_err = 4.509999927849151e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 5.943820354138096e-203 estimated_step_error = 5.943820354138096e-203 Double H and LOOP opt_iter = 16 NO POLE (given) for Equation 1 NO 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 3.2768e-05 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 57983.39843749999 step_error = 6.378103064265948e-14 est_needed_step_err = 6.378103064265948e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.084560442800615e-192 estimated_step_error = 4.084560442800615e-192 Double H and LOOP opt_iter = 17 NO POLE (given) for Equation 1 NO 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 = 6.14332310027193 glob_desired_digits_correct = 10 estimated_h = 6.5536e-05 estimated_answer = 6.14332310027193 desired_abs_gbl_error = 6.14332310027193e-10 range = 1.9 estimated_steps = 28991.69921875 step_error = 9.019999855698301e-14 est_needed_step_err = 9.019999855698301e-14 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.806886085655441e-181 estimated_step_error = 2.806886085655441e-181 Double H and LOOP opt_iter = 18 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 0.25 Order of pole (three term test) = 32.5 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) = 6.14332310027193 y[1] (numeric) = 6.14332310027193 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1100270080000008 y[1] (analytic) = 6.26735625922434 y[1] (numeric) = 6.267356259224337 absolute error = 3.552713678800501e-15 relative error = 5.668600175028492e-14 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 16 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1200540160000015 y[1] (analytic) = 6.393910004939825 y[1] (numeric) = 6.393910004939814 absolute error = 1.06581410364015e-14 relative error = 1.666920714893892e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1300154880000023 y[1] (analytic) = 6.522182818598873 y[1] (numeric) = 6.522182818598856 absolute error = 1.687538997430238e-14 relative error = 2.587383770687929e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.140042496000003 y[1] (analytic) = 6.653914145694833 y[1] (numeric) = 6.653914145694804 absolute error = 2.930988785010413e-14 relative error = 4.404909232119865e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1500039680000038 y[1] (analytic) = 6.787434240527983 y[1] (numeric) = 6.787434240527949 absolute error = 3.463895836830488e-14 relative error = 5.103395059280954e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1600309760000045 y[1] (analytic) = 6.924553704429998 y[1] (numeric) = 6.924553704429958 absolute error = 3.996802888650564e-14 relative error = 5.771928501462268e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1700579840000053 y[1] (analytic) = 7.064458064815584 y[1] (numeric) = 7.064458064815534 absolute error = 4.973799150320701e-14 relative error = 7.040595477652597e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.180019456000006 y[1] (analytic) = 7.20626126334673 y[1] (numeric) = 7.206261263346668 absolute error = 6.217248937900877e-14 relative error = 8.627565266782269e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.1900464640000068 y[1] (analytic) = 7.351886224512205 y[1] (numeric) = 7.35188622451213 absolute error = 7.460698725481052e-14 relative error = 1.014800623628539e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2000079360000075 y[1] (analytic) = 7.499487095407928 y[1] (numeric) = 7.499487095407841 absolute error = 8.704148513061227e-14 relative error = 1.160632507573876e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2100349440000083 y[1] (analytic) = 7.651065419949322 y[1] (numeric) = 7.651065419949229 absolute error = 9.325873406851315e-14 relative error = 1.218898662470603e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.220061952000009 y[1] (analytic) = 7.805720827302561 y[1] (numeric) = 7.805720827302452 absolute error = 1.083577672034153e-13 relative error = 1.388183994800397e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2300234240000098 y[1] (analytic) = 7.962473850232726 y[1] (numeric) = 7.962473850232607 absolute error = 1.190159082398168e-13 relative error = 1.494710192817e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2400504320000105 y[1] (analytic) = 8.123450140555871 y[1] (numeric) = 8.123450140555757 absolute error = 1.13686837721616e-13 relative error = 1.399489573451566e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2500119040000113 y[1] (analytic) = 8.286609261312551 y[1] (numeric) = 8.286609261312424 absolute error = 1.261213355974178e-13 relative error = 1.521989653672181e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2600389120000078 y[1] (analytic) = 8.454163734308388 y[1] (numeric) = 8.45416373430832 absolute error = 6.750155989720952e-14 relative error = 7.984415965742074e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2700003840000043 y[1] (analytic) = 8.623989741565438 y[1] (numeric) = 8.623989741565421 absolute error = 1.77635683940025e-14 relative error = 2.059785427200431e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2800273920000008 y[1] (analytic) = 8.798390211307936 y[1] (numeric) = 8.798390211307975 absolute error = 3.907985046680551e-14 relative error = 4.441704621895378e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.2900543999999973 y[1] (analytic) = 8.976329191546034 y[1] (numeric) = 8.976329191546149 absolute error = 1.154631945610163e-13 relative error = 1.286307488252105e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3000158719999939 y[1] (analytic) = 9.156679772892103 y[1] (numeric) = 9.15667977289228 absolute error = 1.77635683940025e-13 relative error = 1.93995736823632e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3100428799999904 y[1] (analytic) = 9.341887602221705 y[1] (numeric) = 9.341887602221947 absolute error = 2.415845301584341e-13 relative error = 2.586035504227004e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3200043519999869 y[1] (analytic) = 9.529605098413517 y[1] (numeric) = 9.529605098413835 absolute error = 3.179678742526448e-13 relative error = 3.336632221051635e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3300313599999834 y[1] (analytic) = 9.722377807506945 y[1] (numeric) = 9.722377807507323 absolute error = 3.783640067922533e-13 relative error = 3.891681791054314e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3400583679999799 y[1] (analytic) = 9.919060633688595 y[1] (numeric) = 9.919060633689034 absolute error = 4.387601393318619e-13 relative error = 4.423404146171656e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3500198399999764 y[1] (analytic) = 10.11840797160134 y[1] (numeric) = 10.11840797160187 absolute error = 5.258016244624741e-13 relative error = 5.196485711370863e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3600468479999729 y[1] (analytic) = 10.32312307393492 y[1] (numeric) = 10.32312307393552 absolute error = 5.986322548778844e-13 relative error = 5.798945247387239e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3700083199999695 y[1] (analytic) = 10.53061109731132 y[1] (numeric) = 10.530611097312 absolute error = 6.750155989720952e-13 relative error = 6.410032549245318e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.380035327999966 y[1] (analytic) = 10.74368568631268 y[1] (numeric) = 10.74368568631343 absolute error = 7.513989430663059e-13 relative error = 6.993865652860441e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.3900623359999625 y[1] (analytic) = 10.96108113897767 y[1] (numeric) = 10.9610811389785 absolute error = 8.29558643999917e-13 relative error = 7.56821917000506e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.400023807999959 y[1] (analytic) = 11.18142068556219 y[1] (numeric) = 11.18142068556311 absolute error = 9.183764859699295e-13 relative error = 8.213415019397012e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4100508159999555 y[1] (analytic) = 11.40769224392959 y[1] (numeric) = 11.40769224393059 absolute error = 9.947598300641403e-13 relative error = 8.720079476140188e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.420012287999952 y[1] (analytic) = 11.63702773425494 y[1] (numeric) = 11.63702773425601 absolute error = 1.071143174158351e-12 relative error = 9.204611337354786e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4300392959999486 y[1] (analytic) = 11.87253706403721 y[1] (numeric) = 11.87253706403836 absolute error = 1.154631945610163e-12 relative error = 9.725233447429095e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4400007679999451 y[1] (analytic) = 12.11123506111335 y[1] (numeric) = 12.11123506111459 absolute error = 1.238120717061975e-12 relative error = 1.022291046961281e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4500277759999416 y[1] (analytic) = 12.35635859340137 y[1] (numeric) = 12.35635859340271 absolute error = 1.337596700068389e-12 relative error = 1.08251690007014e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4600547839999381 y[1] (analytic) = 12.60645156936262 y[1] (numeric) = 12.60645156936405 absolute error = 1.424638185199001e-12 relative error = 1.130086588886987e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4700162559999346 y[1] (analytic) = 12.8599301579292 y[1] (numeric) = 12.85993015793071 absolute error = 1.509903313490213e-12 relative error = 1.17411470742649e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4800432639999311 y[1] (analytic) = 13.12023165946088 y[1] (numeric) = 13.12023165946249 absolute error = 1.607602939657227e-12 relative error = 1.225285483810798e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.4900047359999277 y[1] (analytic) = 13.38405665139514 y[1] (numeric) = 13.38405665139685 absolute error = 1.707078922663641e-12 relative error = 1.27545703602928e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5000317439999242 y[1] (analytic) = 13.65498273665627 y[1] (numeric) = 13.65498273665806 absolute error = 1.799449478312454e-12 relative error = 1.317796963215415e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5100587519999292 y[1] (analytic) = 13.9314005423995 y[1] (numeric) = 13.93140054240117 absolute error = 1.664446358518035e-12 relative error = 1.19474445763897e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5200202239999342 y[1] (analytic) = 14.21155953112713 y[1] (numeric) = 14.21155953112866 absolute error = 1.527666881884215e-12 relative error = 1.07494668585683e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5300472319999392 y[1] (analytic) = 14.49925880318211 y[1] (numeric) = 14.4992588031835 absolute error = 1.389111048410996e-12 relative error = 9.580565925936377e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5400087039999442 y[1] (analytic) = 14.79085165862665 y[1] (numeric) = 14.7908516586279 absolute error = 1.241673430740775e-12 relative error = 8.394874476457739e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5500357119999492 y[1] (analytic) = 15.09029224693193 y[1] (numeric) = 15.09029224693303 absolute error = 1.099564883588755e-12 relative error = 7.286571165063501e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5600627199999542 y[1] (analytic) = 15.39580180424348 y[1] (numeric) = 15.39580180424442 absolute error = 9.414691248821327e-13 relative error = 6.115102914761083e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5700241919999591 y[1] (analytic) = 15.70544556388342 y[1] (numeric) = 15.70544556388421 absolute error = 7.851497230149107e-13 relative error = 4.999219664423005e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5800511999999641 y[1] (analytic) = 16.02342245489123 y[1] (numeric) = 16.02342245489186 absolute error = 6.252776074688882e-13 relative error = 3.902272496585266e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.5900126719999691 y[1] (analytic) = 16.34570199675726 y[1] (numeric) = 16.3457019967577 absolute error = 4.405364961712621e-13 relative error = 2.695121300135399e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6000396799999741 y[1] (analytic) = 16.67665446624325 y[1] (numeric) = 16.67665446624352 absolute error = 2.735589532676386e-13 relative error = 1.640370697980068e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6100011519999791 y[1] (analytic) = 17.01208491234612 y[1] (numeric) = 17.0120849123462 absolute error = 8.171241461241152e-14 relative error = 4.803198140229752e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6200281599999841 y[1] (analytic) = 17.35654194486996 y[1] (numeric) = 17.35654194486989 absolute error = 7.105427357601002e-14 relative error = 4.093803581479628e-13 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.6300551679999891 y[1] (analytic) = 17.70797937998615 y[1] (numeric) = 17.70797937998592 absolute error = 2.238209617644316e-13 relative error = 1.263955400904734e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.640016639999994 y[1] (analytic) = 18.064171602646 y[1] (numeric) = 18.06417160264562 absolute error = 3.836930773104541e-13 relative error = 2.124055759380915e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.650043647999999 y[1] (analytic) = 18.42994876304891 y[1] (numeric) = 18.42994876304832 absolute error = 5.861977570020827e-13 relative error = 3.180680340128665e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.660005120000004 y[1] (analytic) = 18.80067449371795 y[1] (numeric) = 18.80067449371715 absolute error = 8.029132914089132e-13 relative error = 4.270662159898562e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.670032128000009 y[1] (analytic) = 19.1813760267149 y[1] (numeric) = 19.18137602671392 absolute error = 9.734435479913373e-13 relative error = 5.074941164990311e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.680059136000014 y[1] (analytic) = 19.56979186866619 y[1] (numeric) = 19.56979186866503 absolute error = 1.158184659288963e-12 relative error = 5.91822676021082e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.690020608000019 y[1] (analytic) = 19.96346222991815 y[1] (numeric) = 19.96346222991678 absolute error = 1.371347480016993e-12 relative error = 6.86928682120995e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.700047616000024 y[1] (analytic) = 20.36772548355399 y[1] (numeric) = 20.36772548355242 absolute error = 1.566746732351021e-12 relative error = 7.69230090819958e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7100090880000289 y[1] (analytic) = 20.7774574359275 y[1] (numeric) = 20.77745743592573 absolute error = 1.762145984685048e-12 relative error = 8.481047260566255e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7200360960000339 y[1] (analytic) = 21.19821426357916 y[1] (numeric) = 21.1982142635772 absolute error = 1.961097950697877e-12 relative error = 9.251241290014018e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7300631040000389 y[1] (analytic) = 21.62749652620909 y[1] (numeric) = 21.62749652620689 absolute error = 2.19912976717751e-12 relative error = 1.016821232412413e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7400245760000439 y[1] (analytic) = 22.06258563724618 y[1] (numeric) = 22.06258563724375 absolute error = 2.426503442620742e-12 relative error = 1.099827319661167e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7500515840000489 y[1] (analytic) = 22.50938162937707 y[1] (numeric) = 22.50938162937445 absolute error = 2.62545540863357e-12 relative error = 1.16638273403614e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7600130560000539 y[1] (analytic) = 22.96222118998696 y[1] (numeric) = 22.96222118998412 absolute error = 2.845723656719201e-12 relative error = 1.239306787080391e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7700400640000589 y[1] (analytic) = 23.4272450570112 y[1] (numeric) = 23.42724505700813 absolute error = 3.069544618483633e-12 relative error = 1.310245660987353e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7800015360000638 y[1] (analytic) = 23.89855887244589 y[1] (numeric) = 23.89855887244259 absolute error = 3.307576434963266e-12 relative error = 1.384006647688189e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.7900285440000688 y[1] (analytic) = 24.38255389464755 y[1] (numeric) = 24.38255389464402 absolute error = 3.527844683048897e-12 relative error = 1.446872504944336e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8000555520000738 y[1] (analytic) = 24.87635502010147 y[1] (numeric) = 24.87635502009771 absolute error = 3.765876499528531e-12 relative error = 1.513837737275213e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8100170240000788 y[1] (analytic) = 25.37683507944909 y[1] (numeric) = 25.37683507944506 absolute error = 4.032330025438569e-12 relative error = 1.58898066398519e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8200440320000838 y[1] (analytic) = 25.89078084035308 y[1] (numeric) = 25.89078084034877 absolute error = 4.309441692385008e-12 relative error = 1.664469572763275e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8300055040000888 y[1] (analytic) = 26.41167784081659 y[1] (numeric) = 26.41167784081204 absolute error = 4.558131649901043e-12 relative error = 1.725801623574595e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8400325120000938 y[1] (analytic) = 26.94658971275126 y[1] (numeric) = 26.94658971274642 absolute error = 4.842348744205083e-12 relative error = 1.797017283383233e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8500595200000988 y[1] (analytic) = 27.4923388842634 y[1] (numeric) = 27.49233888425827 absolute error = 5.126565838509123e-12 relative error = 1.864725245855152e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8600209920001037 y[1] (analytic) = 28.04546921071809 y[1] (numeric) = 28.04546921071268 absolute error = 5.414335646491963e-12 relative error = 1.930556271250679e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8700480000001087 y[1] (analytic) = 28.61348142454757 y[1] (numeric) = 28.61348142454187 absolute error = 5.702105454474804e-12 relative error = 1.99280380107223e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8800094720001137 y[1] (analytic) = 29.1891757504794 y[1] (numeric) = 29.18917575047343 absolute error = 5.975664407742443e-12 relative error = 2.047219304452027e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.8900364800001187 y[1] (analytic) = 29.78035890041317 y[1] (numeric) = 29.78035890040692 absolute error = 6.245670647331281e-12 relative error = 2.097244921801338e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9000634880001237 y[1] (analytic) = 30.38351902681667 y[1] (numeric) = 30.38351902681013 absolute error = 6.547651310029323e-12 relative error = 2.155000974130194e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9100249600001287 y[1] (analytic) = 30.99483641402654 y[1] (numeric) = 30.9948364140197 absolute error = 6.838973831690964e-12 relative error = 2.206488119613377e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9200519680001337 y[1] (analytic) = 31.6226008410213 y[1] (numeric) = 31.62260084101415 absolute error = 7.148059921746608e-12 relative error = 2.260427583955726e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9300134400001386 y[1] (analytic) = 32.25885515003506 y[1] (numeric) = 32.25885515002758 absolute error = 7.482015007553855e-12 relative error = 2.319367805446041e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9400404480001436 y[1] (analytic) = 32.91222727756399 y[1] (numeric) = 32.91222727755617 absolute error = 7.815970093361102e-12 relative error = 2.374792209425823e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9500019200001486 y[1] (analytic) = 33.57443547829888 y[1] (numeric) = 33.57443547829069 absolute error = 8.192557743313955e-12 relative error = 2.440117793971334e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9600289280001536 y[1] (analytic) = 34.25445963689001 y[1] (numeric) = 34.25445963688148 absolute error = 8.533618256478803e-12 relative error = 2.491242993449123e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9700559360001586 y[1] (analytic) = 34.94826015252323 y[1] (numeric) = 34.94826015251435 absolute error = 8.881784197001252e-12 relative error = 2.541409546065771e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9800174080001636 y[1] (analytic) = 35.65144330318306 y[1] (numeric) = 35.65144330317383 absolute error = 9.2228447101661e-12 relative error = 2.586948481085101e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 0.9900444160001686 y[1] (analytic) = 36.3735446149683 y[1] (numeric) = 36.37354461495872 absolute error = 9.578116078046151e-12 relative error = 2.633264417706654e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.000005888000173 y[1] (analytic) = 37.10541117348345 y[1] (numeric) = 37.10541117347348 absolute error = 9.976020010071807e-12 relative error = 2.688562043802642e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.010032896000161 y[1] (analytic) = 37.85696746662629 y[1] (numeric) = 37.85696746661724 absolute error = 9.052314453583676e-12 relative error = 2.391188481106934e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.020059904000149 y[1] (analytic) = 38.62374896273183 y[1] (numeric) = 38.62374896272373 absolute error = 8.100187187665142e-12 relative error = 2.097203768458892e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.030021376000138 y[1] (analytic) = 39.40089976635405 y[1] (numeric) = 39.40089976634695 absolute error = 7.105427357601002e-12 relative error = 1.80336677581881e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.040048384000126 y[1] (analytic) = 40.19895844310519 y[1] (numeric) = 40.198958443099 absolute error = 6.195932655828074e-12 relative error = 1.541316714610247e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.050009856000114 y[1] (analytic) = 41.00780928950749 y[1] (numeric) = 41.00780928950224 absolute error = 5.25091081726714e-12 relative error = 1.280466064450478e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.060036864000102 y[1] (analytic) = 41.83842074009853 y[1] (numeric) = 41.83842074009426 absolute error = 4.277467269275803e-12 relative error = 1.022377803370627e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.07006387200009 y[1] (analytic) = 42.68585864272821 y[1] (numeric) = 42.68585864272491 absolute error = 3.296918293926865e-12 relative error = 7.723678048792196e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.080025344000078 y[1] (analytic) = 43.5447563213658 y[1] (numeric) = 43.54475632136351 absolute error = 2.287947609147523e-12 relative error = 5.254243684962159e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.090052352000066 y[1] (analytic) = 44.42676087139909 y[1] (numeric) = 44.42676087139787 absolute error = 1.222133505507372e-12 relative error = 2.75089491454272e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.100013824000054 y[1] (analytic) = 45.32069254282471 y[1] (numeric) = 45.32069254282452 absolute error = 1.84741111297626e-13 relative error = 4.076308214466479e-13 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 15 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.110040832000042 y[1] (analytic) = 46.23867351003697 y[1] (numeric) = 46.23867351003787 absolute error = 9.023892744153272e-13 relative error = 1.951589883346128e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.12000230400003 y[1] (analytic) = 47.16906800798115 y[1] (numeric) = 47.16906800798316 absolute error = 2.010835942201084e-12 relative error = 4.263039375424683e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.130029312000018 y[1] (analytic) = 48.12449266578017 y[1] (numeric) = 48.12449266578329 absolute error = 3.126388037344441e-12 relative error = 6.496459212685931e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.140056320000006 y[1] (analytic) = 49.09927188939214 y[1] (numeric) = 49.09927188939645 absolute error = 4.305888978706207e-12 relative error = 8.76976136918334e-12 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 14 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.150017791999994 y[1] (analytic) = 50.08723257574037 y[1] (numeric) = 50.08723257574589 absolute error = 5.513811629498377e-12 relative error = 1.100841740689219e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.160044799999982 y[1] (analytic) = 51.10177198114477 y[1] (numeric) = 51.10177198115156 absolute error = 6.785683126508957e-12 relative error = 1.327876287541007e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.17000627199997 y[1] (analytic) = 52.13003042486947 y[1] (numeric) = 52.13003042487752 absolute error = 8.043343768804334e-12 relative error = 1.542938629279435e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.180033279999958 y[1] (analytic) = 53.18595162160285 y[1] (numeric) = 53.18595162161216 absolute error = 9.308109838457312e-12 relative error = 1.750106852403593e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.190060287999946 y[1] (analytic) = 54.26326298670925 y[1] (numeric) = 54.26326298671987 absolute error = 1.06155084722559e-11 relative error = 1.956297481567956e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.200021759999934 y[1] (analytic) = 55.35514210136261 y[1] (numeric) = 55.35514210137455 absolute error = 1.193711796076968e-11 relative error = 2.15646053963898e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.210048767999922 y[1] (analytic) = 56.47639540935322 y[1] (numeric) = 56.47639540936655 absolute error = 1.332978172285948e-11 relative error = 2.360239463981778e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.22001023999991 y[1] (analytic) = 57.61281058981117 y[1] (numeric) = 57.61281058982581 absolute error = 1.464428578401566e-11 relative error = 2.541845404536731e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.230037247999898 y[1] (analytic) = 58.77979801854271 y[1] (numeric) = 58.77979801855876 absolute error = 1.605826582817826e-11 relative error = 2.731936204189153e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.240064255999886 y[1] (analytic) = 59.97042533221035 y[1] (numeric) = 59.97042533222778 absolute error = 1.742961330819526e-11 relative error = 2.906368132565794e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.250025727999875 y[1] (analytic) = 61.17715250433099 y[1] (numeric) = 61.17715250434987 absolute error = 1.887912048914586e-11 relative error = 3.085975681494709e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.260052735999863 y[1] (analytic) = 62.41634337757225 y[1] (numeric) = 62.41634337759258 absolute error = 2.032862767009647e-11 relative error = 3.256939860626479e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.270014207999851 y[1] (analytic) = 63.67229072664956 y[1] (numeric) = 63.67229072667139 absolute error = 2.182787284255028e-11 relative error = 3.428158873105281e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.280041215999839 y[1] (analytic) = 64.96202584520898 y[1] (numeric) = 64.96202584523239 absolute error = 2.34052777159377e-11 relative error = 3.602916844328041e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.290002687999827 y[1] (analytic) = 66.26920084003895 y[1] (numeric) = 66.26920084006387 absolute error = 2.492583917046431e-11 relative error = 3.761300702966145e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.300029695999815 y[1] (analytic) = 67.61154167807587 y[1] (numeric) = 67.61154167810248 absolute error = 2.661693088157335e-11 relative error = 3.936743671414362e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.310056703999803 y[1] (analytic) = 68.98107432553545 y[1] (numeric) = 68.98107432556375 absolute error = 2.830802259268239e-11 relative error = 4.103737564174659e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.320018175999791 y[1] (analytic) = 70.36912578328334 y[1] (numeric) = 70.36912578331334 absolute error = 2.999911430379143e-11 relative error = 4.263107430974782e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.330045183999779 y[1] (analytic) = 71.79451874479486 y[1] (numeric) = 71.79451874482655 absolute error = 3.169020601490047e-11 relative error = 4.414014686489981e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.340006655999767 y[1] (analytic) = 73.2391858010461 y[1] (numeric) = 73.23918580107949 absolute error = 3.338129772600951e-11 relative error = 4.557846644648623e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.350033663999755 y[1] (analytic) = 74.72271738222027 y[1] (numeric) = 74.72271738225551 absolute error = 3.524291969370097e-11 relative error = 4.716493313998076e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.360060671999743 y[1] (analytic) = 76.23630072438323 y[1] (numeric) = 76.23630072442033 absolute error = 3.710454166139243e-11 relative error = 4.867043824114226e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.370022143999731 y[1] (analytic) = 77.77035058320783 y[1] (numeric) = 77.77035058324668 absolute error = 3.885247679136228e-11 relative error = 4.995795505614103e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.380049151999719 y[1] (analytic) = 79.34566946576774 y[1] (numeric) = 79.34566946580843 absolute error = 4.068567704962334e-11 relative error = 5.127649350438267e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.390010623999707 y[1] (analytic) = 80.94228959379915 y[1] (numeric) = 80.94228959384165 absolute error = 4.250466645316919e-11 relative error = 5.251231051959939e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.400037631999695 y[1] (analytic) = 82.58186195948875 y[1] (numeric) = 82.58186195953326 absolute error = 4.450839696801268e-11 relative error = 5.389609281254358e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.410064639999683 y[1] (analytic) = 84.25464685363765 y[1] (numeric) = 84.25464685368416 absolute error = 4.651212748285616e-11 relative error = 5.520422815806749e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.420026111999671 y[1] (analytic) = 85.95005083913914 y[1] (numeric) = 85.95005083918772 absolute error = 4.858691227127565e-11 relative error = 5.652924203873838e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.430053119999659 y[1] (analytic) = 87.69106446822212 y[1] (numeric) = 87.69106446827286 absolute error = 5.073275133327115e-11 relative error = 5.785395768762268e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.440014591999647 y[1] (analytic) = 89.45561971739974 y[1] (numeric) = 89.45561971745256 absolute error = 5.282174697640585e-11 relative error = 5.904799177880119e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.450041599999635 y[1] (analytic) = 91.26764486569223 y[1] (numeric) = 91.26764486574726 absolute error = 5.502442945726216e-11 relative error = 6.028908660701729e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.460003071999624 y[1] (analytic) = 93.10417179104502 y[1] (numeric) = 93.10417179110227 absolute error = 5.725553364754887e-11 relative error = 6.149620639561486e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.470030079999612 y[1] (analytic) = 94.99010474551741 y[1] (numeric) = 94.99010474557694 absolute error = 5.952927040198119e-11 relative error = 6.266891752721263e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.4800570879996 y[1] (analytic) = 96.91424053875312 y[1] (numeric) = 96.91424053881492 absolute error = 6.180300715641351e-11 relative error = 6.377082130845398e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.490018559999588 y[1] (analytic) = 98.86439397658215 y[1] (numeric) = 98.86439397664644 absolute error = 6.428990673157386e-11 relative error = 6.502837285059584e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.500045567999576 y[1] (analytic) = 100.867010145161 y[1] (numeric) = 100.8670101452278 absolute error = 6.679101716144942e-11 relative error = 6.621690983536468e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.510007039999564 y[1] (analytic) = 102.8967051072792 y[1] (numeric) = 102.8967051073484 absolute error = 6.917844075360335e-11 relative error = 6.723095815505315e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.520034047999552 y[1] (analytic) = 104.9810025731761 y[1] (numeric) = 104.9810025732478 absolute error = 7.175060545705492e-11 relative error = 6.834627570549423e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.53006105599954 y[1] (analytic) = 107.1075209875103 y[1] (numeric) = 107.1075209875845 absolute error = 7.423750503221527e-11 relative error = 6.93111971482115e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.540022527999528 y[1] (analytic) = 109.262793505634 y[1] (numeric) = 109.2627935057108 absolute error = 7.682388059038203e-11 relative error = 7.031110785797427e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.550049535999516 y[1] (analytic) = 111.4760467341963 y[1] (numeric) = 111.4760467342759 absolute error = 7.955236469570082e-11 relative error = 7.136274296251785e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.560011007999504 y[1] (analytic) = 113.7192268294971 y[1] (numeric) = 113.7192268295793 absolute error = 8.218137281801319e-11 relative error = 7.226691132998148e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.570038015999492 y[1] (analytic) = 116.0227524702588 y[1] (numeric) = 116.0227524703438 absolute error = 8.502354376105359e-11 relative error = 7.328178477997108e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.58006502399948 y[1] (analytic) = 118.3729397977023 y[1] (numeric) = 118.37293979779 absolute error = 8.772360615694197e-11 relative error = 7.41078208472818e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.590026495999468 y[1] (analytic) = 120.7549055145834 y[1] (numeric) = 120.754905514674 absolute error = 9.063683137355838e-11 relative error = 7.50585087929304e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.600053503999456 y[1] (analytic) = 123.2009503042142 y[1] (numeric) = 123.2009503043077 absolute error = 9.356426744488999e-11 relative error = 7.594443647866048e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.610014975999444 y[1] (analytic) = 125.6800695995044 y[1] (numeric) = 125.6800695996009 absolute error = 9.654854693508241e-11 relative error = 7.682088913759095e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.620041983999432 y[1] (analytic) = 128.2258815363837 y[1] (numeric) = 128.2258815364831 absolute error = 9.944756129698362e-11 relative error = 7.755654326990584e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.63000345599942 y[1] (analytic) = 130.8061169604482 y[1] (numeric) = 130.8061169605508 absolute error = 1.025455276248977e-10 relative error = 7.839505522200027e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.640030463999408 y[1] (analytic) = 133.4557651944712 y[1] (numeric) = 133.4557651945771 absolute error = 1.058140242093941e-10 relative error = 7.92877130899533e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.650057471999396 y[1] (analytic) = 136.1590862725598 y[1] (numeric) = 136.1590862726687 absolute error = 1.088835688278778e-10 relative error = 7.996790505035951e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.660018943999384 y[1] (analytic) = 138.8989605685839 y[1] (numeric) = 138.8989605686961 absolute error = 1.121236437029438e-10 relative error = 8.07231697371707e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.670045951999372 y[1] (analytic) = 141.7125421907339 y[1] (numeric) = 141.7125421908494 absolute error = 1.154774054157315e-10 relative error = 8.148707491275401e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.680007423999361 y[1] (analytic) = 144.5641678999156 y[1] (numeric) = 144.5641679000344 absolute error = 1.187459020002279e-10 relative error = 8.21406187475432e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.690034431999349 y[1] (analytic) = 147.4925072111031 y[1] (numeric) = 147.4925072112254 absolute error = 1.222986156790284e-10 relative error = 8.291852785713705e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.700061439999337 y[1] (analytic) = 150.4801646216536 y[1] (numeric) = 150.4801646217795 absolute error = 1.258797510672593e-10 relative error = 8.365205566046122e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.710022911999325 y[1] (analytic) = 153.5082198574231 y[1] (numeric) = 153.5082198575527 absolute error = 1.295745732932119e-10 relative error = 8.440888273837026e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.720049919999313 y[1] (analytic) = 156.6177349087369 y[1] (numeric) = 156.6177349088703 absolute error = 1.333546606474556e-10 relative error = 8.514659002389671e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.730011391999301 y[1] (analytic) = 159.7692954654258 y[1] (numeric) = 159.7692954655631 absolute error = 1.373052782582818e-10 relative error = 8.593971567458948e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.740038399999289 y[1] (analytic) = 163.0056383136489 y[1] (numeric) = 163.0056383137899 absolute error = 1.410285221936647e-10 relative error = 8.651757304388655e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.750065407999277 y[1] (analytic) = 166.3075382863186 y[1] (numeric) = 166.3075382864637 absolute error = 1.450928266422125e-10 relative error = 8.724368608740844e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.760026879999265 y[1] (analytic) = 169.6540850707327 y[1] (numeric) = 169.6540850708816 absolute error = 1.48929757415317e-10 relative error = 8.778436272443706e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.770053887999253 y[1] (analytic) = 173.0906595668367 y[1] (numeric) = 173.09065956699 absolute error = 1.532498572487384e-10 relative error = 8.853733507761173e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.780015359999241 y[1] (analytic) = 176.5737018590577 y[1] (numeric) = 176.5737018592149 absolute error = 1.572573182784254e-10 relative error = 8.906044140364075e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.790042367999229 y[1] (analytic) = 180.1504437968072 y[1] (numeric) = 180.1504437969687 absolute error = 1.615774181118468e-10 relative error = 8.96902692585598e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.800003839999217 y[1] (analytic) = 183.775548787786 y[1] (numeric) = 183.7755487879519 absolute error = 1.658690962358378e-10 relative error = 9.025634657599329e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.810030847999205 y[1] (analytic) = 187.4981751248515 y[1] (numeric) = 187.4981751250217 absolute error = 1.702176177786896e-10 relative error = 9.078361304868428e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.820057855999193 y[1] (analytic) = 191.2962089222193 y[1] (numeric) = 191.2962089223941 absolute error = 1.747935129969846e-10 relative error = 9.137322374645457e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.830019327999181 y[1] (analytic) = 195.1455979456474 y[1] (numeric) = 195.1455979458268 absolute error = 1.794262516341405e-10 relative error = 9.19448112194234e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.840046335999169 y[1] (analytic) = 199.0985418951182 y[1] (numeric) = 199.0985418953024 absolute error = 1.84172677109018e-10 relative error = 9.250327770157005e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.850007807999157 y[1] (analytic) = 203.1049356718193 y[1] (numeric) = 203.1049356720083 absolute error = 1.890327894216171e-10 relative error = 9.307148976776208e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.860034815999145 y[1] (analytic) = 207.2191080411428 y[1] (numeric) = 207.2191080413366 absolute error = 1.938644800247857e-10 relative error = 9.355531053936131e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.870061823999133 y[1] (analytic) = 211.4166191771135 y[1] (numeric) = 211.4166191773124 absolute error = 1.988382791751064e-10 relative error = 9.405044880058855e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.880023295999121 y[1] (analytic) = 215.6708870311012 y[1] (numeric) = 215.6708870313055 absolute error = 2.042099822574528e-10 relative error = 9.468592867056938e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.890050303999109 y[1] (analytic) = 220.0396016687949 y[1] (numeric) = 220.0396016690045 absolute error = 2.095248419209383e-10 relative error = 9.522142393091427e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.900011775999098 y[1] (analytic) = 224.4673879365363 y[1] (numeric) = 224.467387936751 absolute error = 2.147544364561327e-10 relative error = 9.567288969248856e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.910038783999086 y[1] (analytic) = 229.0142888991742 y[1] (numeric) = 229.0142888993946 absolute error = 2.203535132139223e-10 relative error = 9.621823785455373e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.920000255999074 y[1] (analytic) = 233.6226708222224 y[1] (numeric) = 233.6226708224484 absolute error = 2.259810116811423e-10 relative error = 9.672905925003522e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.930027263999062 y[1] (analytic) = 238.355025740735 y[1] (numeric) = 238.3550257409667 absolute error = 2.316653535672231e-10 relative error = 9.719339999115921e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.94005427199905 y[1] (analytic) = 243.1832415769844 y[1] (numeric) = 243.1832415772217 absolute error = 2.373781171627343e-10 relative error = 9.761286000770231e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.950015743999038 y[1] (analytic) = 248.0767421487451 y[1] (numeric) = 248.0767421489881 absolute error = 2.430056156299543e-10 relative error = 9.795582347830485e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.960042751999026 y[1] (analytic) = 253.101885846961 y[1] (numeric) = 253.1018858472102 absolute error = 2.492299699952127e-10 relative error = 9.847021453878481e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.970004223999014 y[1] (analytic) = 258.1949770248523 y[1] (numeric) = 258.1949770251075 absolute error = 2.55226950685028e-10 relative error = 9.885047092161726e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.980031231999002 y[1] (analytic) = 263.4250806248945 y[1] (numeric) = 263.4250806251563 absolute error = 2.617639438540209e-10 relative error = 9.936940827087038e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 1.99005823999899 y[1] (analytic) = 268.7611277430362 y[1] (numeric) = 268.7611277433044 absolute error = 2.68244093604153e-10 relative error = 9.980762316960602e-11 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 13 h = 6.5536e-05 NO POLE (given) for Equation 1 NO 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 ) = sinh ( 2.0 * x + 3.0 ) ; Iterations = 28992 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100 %