##############ECHO OF PROBLEM################# ##############temp/lin_lnpostode.ode################# diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=30; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=20.0; x_end=30.0; array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_min_h=0.001; glob_type_given_pole=1; array_given_rad_poles[1][1]=-2.0; array_given_rad_poles[1][2]=0.0; array_given_ord_poles[1][1]=1.0; array_given_ord_poles[1][2]=0.0; /* 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(10.0* (0.1 * x + 0.2) * ln(0.1 * x + 0.2) - x - 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 = 0.001 estimated_answer = 1 desired_abs_gbl_error = 1e-10 range = 10 estimated_steps = 10000 step_error = 3.333333333333333e-14 est_needed_step_err = 3.333333333333333e-14 opt_iter = 1 Radius of convergence (given) for eq 1 = 22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 4.653938071986055 glob_desired_digits_correct = 10 estimated_h = 0.001 estimated_answer = 4.653938071986055 desired_abs_gbl_error = 4.653938071986055e-10 range = 10 estimated_steps = 10000 step_error = 1.551312690662018e-13 est_needed_step_err = 1.551312690662018e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 4.231657246543749e-115 estimated_step_error = 4.231657246543749e-115 Double H and LOOP opt_iter = 2 Radius of convergence (given) for eq 1 = 22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 4.653938071986055 glob_desired_digits_correct = 10 estimated_h = 0.002 estimated_answer = 4.653938071986055 desired_abs_gbl_error = 4.653938071986055e-10 range = 10 estimated_steps = 5000 step_error = 2.193887446615724e-13 est_needed_step_err = 2.193887446615724e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 2.839757348594036e-107 estimated_step_error = 2.839757348594036e-107 Double H and LOOP opt_iter = 3 Radius of convergence (given) for eq 1 = 22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 4.653938071986055 glob_desired_digits_correct = 10 estimated_h = 0.004 estimated_answer = 4.653938071986055 desired_abs_gbl_error = 4.653938071986055e-10 range = 10 estimated_steps = 2500 step_error = 3.102625381324036e-13 est_needed_step_err = 3.102625381324036e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.905648696332645e-99 estimated_step_error = 1.905648696332645e-99 Double H and LOOP opt_iter = 4 Radius of convergence (given) for eq 1 = 22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 min_size = 4.653938071986055 glob_desired_digits_correct = 10 estimated_h = 0.008 estimated_answer = 4.653938071986055 desired_abs_gbl_error = 4.653938071986055e-10 range = 10 estimated_steps = 1250 step_error = 4.387774893231448e-13 est_needed_step_err = 4.387774893231448e-13 hn_div_ho = 0.5 hn_div_ho_2 = 0.25 hn_div_ho_3 = 0.125 max_estimated_step_error = 1.278751562056671e-91 estimated_step_error = 1.278751562056671e-91 Double H and LOOP opt_iter = 5 SETTING H FOR DISPLAY INTERVAL Radius of convergence (given) for eq 1 = 22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 13.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 START of Soultion TOP MAIN SOLVE Loop x[1] = 20 y[1] (analytic) = -4.653938071986055 y[1] (numeric) = -4.653938071986055 absolute error = 0 relative error = 0 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.01 y[1] (analytic) = -4.646051225999408 y[1] (numeric) = -4.646051225999414 absolute error = 6.217248937900877e-15 relative error = 1.338179162362441e-13 % Desired digits = 10 Estimated correct digits = 13 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.02 y[1] (analytic) = -4.638159836623249 y[1] (numeric) = -4.638159836623248 absolute error = 8.881784197001252e-16 relative error = 1.914937067685774e-14 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 16 h = 0.01 Radius of convergence (given) for eq 1 = 22.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.03 y[1] (analytic) = -4.630263905920852 y[1] (numeric) = -4.630263905920859 absolute error = 6.217248937900877e-15 relative error = 1.342741810018799e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.04000000000001 y[1] (analytic) = -4.622363435953666 y[1] (numeric) = -4.622363435953674 absolute error = 7.993605777301127e-15 relative error = 1.729333032345589e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.05000000000001 y[1] (analytic) = -4.614458428781244 y[1] (numeric) = -4.614458428781252 absolute error = 7.993605777301127e-15 relative error = 1.732295544682666e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.06000000000001 y[1] (analytic) = -4.606548886461272 y[1] (numeric) = -4.606548886461283 absolute error = 1.06581410364015e-14 relative error = 2.313693243921923e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.07000000000001 y[1] (analytic) = -4.598634811049582 y[1] (numeric) = -4.59863481104959 absolute error = 7.993605777301127e-15 relative error = 1.738256266423705e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.08000000000001 y[1] (analytic) = -4.590716204600124 y[1] (numeric) = -4.590716204600135 absolute error = 1.06581410364015e-14 relative error = 2.321672819966854e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.09000000000001 y[1] (analytic) = -4.582793069165 y[1] (numeric) = -4.582793069165017 absolute error = 1.77635683940025e-14 relative error = 3.876144553312569e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.10000000000002 y[1] (analytic) = -4.574865406794469 y[1] (numeric) = -4.57486540679448 absolute error = 1.06581410364015e-14 relative error = 2.329716852559709e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.11000000000002 y[1] (analytic) = -4.566933219536892 y[1] (numeric) = -4.56693321953691 absolute error = 1.77635683940025e-14 relative error = 3.889605461715906e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.12000000000002 y[1] (analytic) = -4.558996509438828 y[1] (numeric) = -4.558996509438843 absolute error = 1.509903313490213e-14 relative error = 3.311920310454611e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.13000000000002 y[1] (analytic) = -4.551055278544943 y[1] (numeric) = -4.551055278544961 absolute error = 1.77635683940025e-14 relative error = 3.903175704708611e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.14000000000002 y[1] (analytic) = -4.543109528898079 y[1] (numeric) = -4.543109528898102 absolute error = 2.309263891220326e-14 relative error = 5.083002900395476e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.15000000000002 y[1] (analytic) = -4.535159262539235 y[1] (numeric) = -4.535159262539254 absolute error = 1.953992523340276e-14 relative error = 4.308542236830367e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.16000000000003 y[1] (analytic) = -4.527204481507546 y[1] (numeric) = -4.527204481507568 absolute error = 2.220446049250313e-14 relative error = 4.904673642024031e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.17000000000003 y[1] (analytic) = -4.519245187840333 y[1] (numeric) = -4.51924518784035 absolute error = 1.687538997430238e-14 relative error = 3.734116931674342e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.18000000000003 y[1] (analytic) = -4.511281383573046 y[1] (numeric) = -4.511281383573069 absolute error = 2.309263891220326e-14 relative error = 5.118864674744212e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.19000000000003 y[1] (analytic) = -4.503313070739331 y[1] (numeric) = -4.503313070739359 absolute error = 2.753353101070388e-14 relative error = 6.114061043102998e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.20000000000003 y[1] (analytic) = -4.495340251370997 y[1] (numeric) = -4.495340251371021 absolute error = 2.398081733190338e-14 relative error = 5.334594489169016e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.21000000000003 y[1] (analytic) = -4.487362927497998 y[1] (numeric) = -4.487362927498027 absolute error = 2.930988785010413e-14 relative error = 6.531650843415587e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.22000000000003 y[1] (analytic) = -4.479381101148494 y[1] (numeric) = -4.479381101148518 absolute error = 2.398081733190338e-14 relative error = 5.353600595795433e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.23000000000004 y[1] (analytic) = -4.471394774348781 y[1] (numeric) = -4.471394774348813 absolute error = 3.197442310920451e-14 relative error = 7.150883498955044e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.24000000000004 y[1] (analytic) = -4.463403949123371 y[1] (numeric) = -4.463403949123404 absolute error = 3.286260152890463e-14 relative error = 7.362676984537545e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.25000000000004 y[1] (analytic) = -4.455408627494936 y[1] (numeric) = -4.455408627494967 absolute error = 3.108624468950438e-14 relative error = 6.977192731025144e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.26000000000004 y[1] (analytic) = -4.447408811484319 y[1] (numeric) = -4.447408811484356 absolute error = 3.730349362740526e-14 relative error = 8.387691621934627e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.27000000000004 y[1] (analytic) = -4.43940450311058 y[1] (numeric) = -4.439404503110612 absolute error = 3.108624468950438e-14 relative error = 7.002345622644439e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.28000000000004 y[1] (analytic) = -4.431395704390923 y[1] (numeric) = -4.431395704390959 absolute error = 3.641531520770513e-14 relative error = 8.217572439225504e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.29000000000005 y[1] (analytic) = -4.423382417340775 y[1] (numeric) = -4.423382417340814 absolute error = 3.907985046680551e-14 relative error = 8.834834246662155e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.30000000000005 y[1] (analytic) = -4.415364643973749 y[1] (numeric) = -4.415364643973786 absolute error = 3.641531520770513e-14 relative error = 8.247408344270293e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.31000000000005 y[1] (analytic) = -4.407342386301632 y[1] (numeric) = -4.407342386301674 absolute error = 4.174438572590589e-14 relative error = 9.471554979629159e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.32000000000005 y[1] (analytic) = -4.39931564633444 y[1] (numeric) = -4.399315646334477 absolute error = 3.730349362740526e-14 relative error = 8.479385574091952e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.33000000000005 y[1] (analytic) = -4.39128442608035 y[1] (numeric) = -4.391284426080392 absolute error = 4.174438572590589e-14 relative error = 9.506190370630769e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.34000000000005 y[1] (analytic) = -4.383248727545769 y[1] (numeric) = -4.383248727545817 absolute error = 4.707345624410664e-14 relative error = 1.073939882724009e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.35000000000005 y[1] (analytic) = -4.375208552735309 y[1] (numeric) = -4.375208552735353 absolute error = 4.440892098500626e-14 relative error = 1.015012666247476e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.36000000000006 y[1] (analytic) = -4.367163903651761 y[1] (numeric) = -4.36716390365181 absolute error = 4.884981308350689e-14 relative error = 1.118570636715956e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.37000000000006 y[1] (analytic) = -4.35911478229616 y[1] (numeric) = -4.359114782296204 absolute error = 4.352074256530614e-14 relative error = 9.983848725906139e-13 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 15 h = 0.01 Radius of convergence (given) for eq 1 = 22.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.38000000000006 y[1] (analytic) = -4.351061190667711 y[1] (numeric) = -4.351061190667762 absolute error = 5.151434834260726e-14 relative error = 1.183949066335744e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.39000000000006 y[1] (analytic) = -4.343003130763872 y[1] (numeric) = -4.343003130763925 absolute error = 5.329070518200751e-14 relative error = 1.227047358186786e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.40000000000006 y[1] (analytic) = -4.334940604580304 y[1] (numeric) = -4.334940604580352 absolute error = 4.796163466380676e-14 relative error = 1.106396581607841e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.41000000000006 y[1] (analytic) = -4.326873614110859 y[1] (numeric) = -4.326873614110915 absolute error = 5.595524044110789e-14 relative error = 1.293202562206252e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.42000000000007 y[1] (analytic) = -4.318802161347662 y[1] (numeric) = -4.318802161347711 absolute error = 4.884981308350689e-14 relative error = 1.131096337792503e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.43000000000007 y[1] (analytic) = -4.310726248281 y[1] (numeric) = -4.310726248281059 absolute error = 5.861977570020827e-14 relative error = 1.359858462911771e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.44000000000007 y[1] (analytic) = -4.30264587689944 y[1] (numeric) = -4.302645876899502 absolute error = 6.128431095930864e-14 relative error = 1.424340108683803e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.45000000000007 y[1] (analytic) = -4.294561049189753 y[1] (numeric) = -4.294561049189811 absolute error = 5.861977570020827e-14 relative error = 1.364977119402412e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.46000000000007 y[1] (analytic) = -4.286471767136927 y[1] (numeric) = -4.286471767136989 absolute error = 6.217248937900877e-14 relative error = 1.450435060733779e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.47000000000007 y[1] (analytic) = -4.278378032724213 y[1] (numeric) = -4.27837803272427 absolute error = 5.684341886080801e-14 relative error = 1.328620762962677e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.48000000000008 y[1] (analytic) = -4.270279847933057 y[1] (numeric) = -4.270279847933121 absolute error = 6.306066779870889e-14 relative error = 1.476733845188908e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.49000000000008 y[1] (analytic) = -4.262177214743183 y[1] (numeric) = -4.262177214743248 absolute error = 6.572520305780927e-14 relative error = 1.542057022651733e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.50000000000008 y[1] (analytic) = -4.254070135132537 y[1] (numeric) = -4.254070135132599 absolute error = 6.217248937900877e-14 relative error = 1.461482472175362e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.51000000000008 y[1] (analytic) = -4.245958611077292 y[1] (numeric) = -4.245958611077358 absolute error = 6.661338147750939e-14 relative error = 1.568865539662153e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.52000000000008 y[1] (analytic) = -4.237842644551897 y[1] (numeric) = -4.237842644551958 absolute error = 6.128431095930864e-14 relative error = 1.446120493362225e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.53000000000008 y[1] (analytic) = -4.229722237529007 y[1] (numeric) = -4.229722237529076 absolute error = 6.927791673660977e-14 relative error = 1.63788336080153e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.54000000000008 y[1] (analytic) = -4.221597391979568 y[1] (numeric) = -4.22159739197964 absolute error = 7.194245199571014e-14 relative error = 1.704152369725984e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.55000000000009 y[1] (analytic) = -4.213468109872757 y[1] (numeric) = -4.213468109872826 absolute error = 6.927791673660977e-14 relative error = 1.644201758031151e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.56000000000009 y[1] (analytic) = -4.205334393175992 y[1] (numeric) = -4.205334393176066 absolute error = 7.460698725481052e-14 relative error = 1.774103561797024e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.57000000000009 y[1] (analytic) = -4.197196243854979 y[1] (numeric) = -4.197196243855048 absolute error = 6.927791673660977e-14 relative error = 1.650576068203578e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.58000000000009 y[1] (analytic) = -4.18905366387364 y[1] (numeric) = -4.189053663873716 absolute error = 7.638334409421077e-14 relative error = 1.823403332187888e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.59000000000009 y[1] (analytic) = -4.1809066551942 y[1] (numeric) = -4.180906655194277 absolute error = 7.72715225139109e-14 relative error = 1.848200136635715e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.60000000000009 y[1] (analytic) = -4.172755219777127 y[1] (numeric) = -4.172755219777199 absolute error = 7.194245199571014e-14 relative error = 1.724099502763373e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.6100000000001 y[1] (analytic) = -4.164599359581135 y[1] (numeric) = -4.164599359581215 absolute error = 7.993605777301127e-14 relative error = 1.919417712753311e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.6200000000001 y[1] (analytic) = -4.156439076563252 y[1] (numeric) = -4.156439076563327 absolute error = 7.460698725481052e-14 relative error = 1.794973675314862e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.6300000000001 y[1] (analytic) = -4.148274372678728 y[1] (numeric) = -4.148274372678805 absolute error = 7.72715225139109e-14 relative error = 1.862738950509997e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.6400000000001 y[1] (analytic) = -4.14010524988111 y[1] (numeric) = -4.140105249881191 absolute error = 8.171241461241152e-14 relative error = 1.973679645336505e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.6500000000001 y[1] (analytic) = -4.131931710122224 y[1] (numeric) = -4.131931710122304 absolute error = 7.993605777301127e-14 relative error = 1.934592906683028e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.6600000000001 y[1] (analytic) = -4.123753755352151 y[1] (numeric) = -4.123753755352236 absolute error = 8.43769498715119e-14 relative error = 2.046119988663253e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.6700000000001 y[1] (analytic) = -4.115571387519278 y[1] (numeric) = -4.115571387519359 absolute error = 8.08242361927114e-14 relative error = 1.963864275026691e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.68000000000011 y[1] (analytic) = -4.107384608570239 y[1] (numeric) = -4.107384608570326 absolute error = 8.704148513061227e-14 relative error = 2.119146206785612e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.69000000000011 y[1] (analytic) = -4.099193420449986 y[1] (numeric) = -4.099193420450075 absolute error = 8.970602038971265e-14 relative error = 2.18838223007943e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.70000000000011 y[1] (analytic) = -4.090997825101741 y[1] (numeric) = -4.090997825101828 absolute error = 8.615330671091215e-14 relative error = 2.105924040885296e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.71000000000011 y[1] (analytic) = -4.082797824467004 y[1] (numeric) = -4.082797824467094 absolute error = 8.970602038971265e-14 relative error = 2.197170279951922e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.72000000000011 y[1] (analytic) = -4.074593420485584 y[1] (numeric) = -4.074593420485675 absolute error = 9.059419880941277e-14 relative error = 2.223392359933088e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.73000000000011 y[1] (analytic) = -4.066384615095568 y[1] (numeric) = -4.066384615095663 absolute error = 9.414691248821327e-14 relative error = 2.315248590571422e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.74000000000012 y[1] (analytic) = -4.058171410233349 y[1] (numeric) = -4.058171410233445 absolute error = 9.592326932761353e-14 relative error = 2.363706695230447e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.75000000000012 y[1] (analytic) = -4.049953807833614 y[1] (numeric) = -4.049953807833707 absolute error = 9.325873406851315e-14 relative error = 2.302711055324326e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.76000000000012 y[1] (analytic) = -4.041731809829333 y[1] (numeric) = -4.041731809829431 absolute error = 9.85878045867139e-14 relative error = 2.43924657115923e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.77000000000012 y[1] (analytic) = -4.033505418151812 y[1] (numeric) = -4.033505418151904 absolute error = 9.237055564881302e-14 relative error = 2.290081357846249e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.78000000000012 y[1] (analytic) = -4.025274634730611 y[1] (numeric) = -4.025274634730713 absolute error = 1.021405182655144e-13 relative error = 2.537479489827409e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.79000000000012 y[1] (analytic) = -4.017039461493649 y[1] (numeric) = -4.017039461493753 absolute error = 1.039168751049147e-13 relative error = 2.58690202326953e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.80000000000013 y[1] (analytic) = -4.00879990036713 y[1] (numeric) = -4.008799900367228 absolute error = 9.769962616701378e-14 relative error = 2.437129031011659e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.81000000000013 y[1] (analytic) = -4.000555953275544 y[1] (numeric) = -4.000555953275649 absolute error = 1.048050535246148e-13 relative error = 2.619762221768285e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.82000000000013 y[1] (analytic) = -3.992307622141741 y[1] (numeric) = -3.992307622141843 absolute error = 1.021405182655144e-13 relative error = 2.55843306510332e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.83000000000013 y[1] (analytic) = -3.984054908886844 y[1] (numeric) = -3.984054908886951 absolute error = 1.070254995738651e-13 relative error = 2.686345997268605e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.84000000000013 y[1] (analytic) = -3.975797815430319 y[1] (numeric) = -3.975797815430429 absolute error = 1.096900348329655e-13 relative error = 2.758943988732315e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.85000000000013 y[1] (analytic) = -3.967536343689947 y[1] (numeric) = -3.967536343690054 absolute error = 1.074695887837152e-13 relative error = 2.708723486670439e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.86000000000013 y[1] (analytic) = -3.959270495581812 y[1] (numeric) = -3.959270495581925 absolute error = 1.127986593019159e-13 relative error = 2.848975825920179e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.87000000000014 y[1] (analytic) = -3.951000273020355 y[1] (numeric) = -3.951000273020463 absolute error = 1.074695887837152e-13 relative error = 2.720060272270234e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.88000000000014 y[1] (analytic) = -3.942725677918304 y[1] (numeric) = -3.942725677918415 absolute error = 1.114663916723657e-13 relative error = 2.827140429694266e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.89000000000014 y[1] (analytic) = -3.934446712186745 y[1] (numeric) = -3.934446712186858 absolute error = 1.13686837721616e-13 relative error = 2.889525415847594e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.90000000000014 y[1] (analytic) = -3.926163377735087 y[1] (numeric) = -3.926163377735197 absolute error = 1.105782132526656e-13 relative error = 2.816444518833437e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.91000000000014 y[1] (analytic) = -3.917875676471052 y[1] (numeric) = -3.91787567647117 absolute error = 1.181277298201167e-13 relative error = 3.015096434262504e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.92000000000014 y[1] (analytic) = -3.909583610300739 y[1] (numeric) = -3.90958361030085 absolute error = 1.105782132526656e-13 relative error = 2.828388500538028e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.93000000000015 y[1] (analytic) = -3.901287181128527 y[1] (numeric) = -3.901287181128646 absolute error = 1.190159082398168e-13 relative error = 3.050683087764613e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.94000000000015 y[1] (analytic) = -3.892986390857185 y[1] (numeric) = -3.892986390857307 absolute error = 1.221245327087672e-13 relative error = 3.137039805625341e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.95000000000015 y[1] (analytic) = -3.884681241387803 y[1] (numeric) = -3.884681241387923 absolute error = 1.20348175869367e-13 relative error = 3.098019332633134e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.96000000000015 y[1] (analytic) = -3.876371734619802 y[1] (numeric) = -3.876371734619926 absolute error = 1.234568003383174e-13 relative error = 3.184854518356098e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.97000000000015 y[1] (analytic) = -3.868057872450976 y[1] (numeric) = -3.868057872451093 absolute error = 1.176836406102666e-13 relative error = 3.042447773298101e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.98000000000015 y[1] (analytic) = -3.859739656777428 y[1] (numeric) = -3.859739656777553 absolute error = 1.243449787580175e-13 relative error = 3.221589791417061e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 20.99000000000015 y[1] (analytic) = -3.851417089493651 y[1] (numeric) = -3.851417089493779 absolute error = 1.27453603226968e-13 relative error = 3.309265142294012e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 22.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 22.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.00000000000016 y[1] (analytic) = -3.843090172492477 y[1] (numeric) = -3.843090172492599 absolute error = 1.221245327087672e-13 relative error = 3.177769118791247e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.01000000000016 y[1] (analytic) = -3.834758907665066 y[1] (numeric) = -3.834758907665196 absolute error = 1.305622276959184e-13 relative error = 3.404704985102076e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.02000000000016 y[1] (analytic) = -3.82642329690098 y[1] (numeric) = -3.826423296901107 absolute error = 1.265654248072678e-13 relative error = 3.307669198799128e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.03000000000016 y[1] (analytic) = -3.818083342088094 y[1] (numeric) = -3.818083342088228 absolute error = 1.332267629550188e-13 relative error = 3.489362358500996e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.04000000000016 y[1] (analytic) = -3.809739045112682 y[1] (numeric) = -3.809739045112815 absolute error = 1.327826737451687e-13 relative error = 3.485348265926738e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.05000000000016 y[1] (analytic) = -3.801390407859355 y[1] (numeric) = -3.801390407859488 absolute error = 1.332267629550188e-13 relative error = 3.504685093106279e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.06000000000017 y[1] (analytic) = -3.793037432211094 y[1] (numeric) = -3.793037432211231 absolute error = 1.376676550535194e-13 relative error = 3.629483165244382e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.07000000000017 y[1] (analytic) = -3.784680120049263 y[1] (numeric) = -3.784680120049396 absolute error = 1.327826737451687e-13 relative error = 3.508425270652474e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.08000000000017 y[1] (analytic) = -3.776318473253564 y[1] (numeric) = -3.776318473253701 absolute error = 1.363353874239692e-13 relative error = 3.610272501898037e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.09000000000017 y[1] (analytic) = -3.767952493702097 y[1] (numeric) = -3.767952493702238 absolute error = 1.403321903126198e-13 relative error = 3.724361985645426e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.10000000000017 y[1] (analytic) = -3.759582183271334 y[1] (numeric) = -3.75958218327147 absolute error = 1.363353874239692e-13 relative error = 3.626344119583506e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.11000000000017 y[1] (analytic) = -3.751207543836095 y[1] (numeric) = -3.751207543836239 absolute error = 1.438849039914203e-13 relative error = 3.83569563427246e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.12000000000018 y[1] (analytic) = -3.74282857726962 y[1] (numeric) = -3.742828577269761 absolute error = 1.407762795224698e-13 relative error = 3.761227013639124e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.13000000000018 y[1] (analytic) = -3.734445285443488 y[1] (numeric) = -3.734445285443632 absolute error = 1.434408147815702e-13 relative error = 3.841020655482324e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.14000000000018 y[1] (analytic) = -3.726057670227682 y[1] (numeric) = -3.726057670227831 absolute error = 1.48769885299771e-13 relative error = 3.992688746835213e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.15000000000018 y[1] (analytic) = -3.717665733490573 y[1] (numeric) = -3.71766573349072 absolute error = 1.465494392505207e-13 relative error = 3.941974608699506e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.16000000000018 y[1] (analytic) = -3.7092694770989 y[1] (numeric) = -3.709269477099047 absolute error = 1.474376176702208e-13 relative error = 3.974842447562881e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.17000000000018 y[1] (analytic) = -3.700868902917804 y[1] (numeric) = -3.700868902917949 absolute error = 1.443289932012704e-13 relative error = 3.899867760446198e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.18000000000018 y[1] (analytic) = -3.692464012810799 y[1] (numeric) = -3.69246401281095 absolute error = 1.509903313490213e-13 relative error = 4.089148352568061e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.19000000000019 y[1] (analytic) = -3.684054808639818 y[1] (numeric) = -3.684054808639969 absolute error = 1.509903313490213e-13 relative error = 4.098482221136338e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.20000000000019 y[1] (analytic) = -3.675641292265169 y[1] (numeric) = -3.675641292265318 absolute error = 1.49213974509621e-13 relative error = 4.059535810080795e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.21000000000019 y[1] (analytic) = -3.66722346554555 y[1] (numeric) = -3.667223465545707 absolute error = 1.56319401867222e-13 relative error = 4.262609119293672e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.22000000000019 y[1] (analytic) = -3.65880133033809 y[1] (numeric) = -3.658801330338241 absolute error = 1.514344205588714e-13 relative error = 4.138907988887118e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.23000000000019 y[1] (analytic) = -3.65037488849827 y[1] (numeric) = -3.650374888498429 absolute error = 1.589839371263224e-13 relative error = 4.355276977914093e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.24000000000019 y[1] (analytic) = -3.641944141880018 y[1] (numeric) = -3.64194414188018 absolute error = 1.620925615952729e-13 relative error = 4.450715202666415e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.2500000000002 y[1] (analytic) = -3.633509092335647 y[1] (numeric) = -3.633509092335808 absolute error = 1.612043831755727e-13 relative error = 4.436603269154044e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.2600000000002 y[1] (analytic) = -3.625069741715873 y[1] (numeric) = -3.625069741716035 absolute error = 1.620925615952729e-13 relative error = 4.471432914240948e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.2700000000002 y[1] (analytic) = -3.616626091869833 y[1] (numeric) = -3.61662609186999 absolute error = 1.572075802869222e-13 relative error = 4.346802138056916e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.2800000000002 y[1] (analytic) = -3.608178144645048 y[1] (numeric) = -3.608178144645214 absolute error = 1.652011860642233e-13 relative error = 4.578520778121802e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.2900000000002 y[1] (analytic) = -3.599725901887492 y[1] (numeric) = -3.59972590188766 absolute error = 1.674216321134736e-13 relative error = 4.650955008149015e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.3000000000002 y[1] (analytic) = -3.59126936544153 y[1] (numeric) = -3.591269365441695 absolute error = 1.652011860642233e-13 relative error = 4.600077834704904e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.3100000000002 y[1] (analytic) = -3.582808537149937 y[1] (numeric) = -3.582808537150105 absolute error = 1.683098105331737e-13 relative error = 4.697705969715627e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.32000000000021 y[1] (analytic) = -3.574343418853928 y[1] (numeric) = -3.574343418854094 absolute error = 1.656452752740734e-13 relative error = 4.634285401909859e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.33000000000021 y[1] (analytic) = -3.565874012393113 y[1] (numeric) = -3.565874012393285 absolute error = 1.723066134218243e-13 relative error = 4.832100428197312e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.34000000000021 y[1] (analytic) = -3.557400319605552 y[1] (numeric) = -3.557400319605728 absolute error = 1.754152378907747e-13 relative error = 4.930995168691752e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.35000000000021 y[1] (analytic) = -3.548922342327721 y[1] (numeric) = -3.548922342327893 absolute error = 1.723066134218243e-13 relative error = 4.855181286069202e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.36000000000021 y[1] (analytic) = -3.540440082394504 y[1] (numeric) = -3.540440082394682 absolute error = 1.77635683940025e-13 relative error = 5.017333433302585e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.37000000000021 y[1] (analytic) = -3.53195354163925 y[1] (numeric) = -3.531953541639421 absolute error = 1.709743457922741e-13 relative error = 4.840786940615348e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.38000000000022 y[1] (analytic) = -3.523462721893694 y[1] (numeric) = -3.523462721893872 absolute error = 1.785238623597252e-13 relative error = 5.066716365421828e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.39000000000022 y[1] (analytic) = -3.514967624988046 y[1] (numeric) = -3.514967624988227 absolute error = 1.811883976188255e-13 relative error = 5.154767182797075e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.40000000000022 y[1] (analytic) = -3.506468252750938 y[1] (numeric) = -3.506468252751113 absolute error = 1.749711486809247e-13 relative error = 4.989953881477584e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.41000000000022 y[1] (analytic) = -3.497964607009411 y[1] (numeric) = -3.497964607009596 absolute error = 1.84741111297626e-13 relative error = 5.281388809007152e-12 % Desired digits = 10 Estimated correct digits = 12 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.42000000000022 y[1] (analytic) = -3.489456689589002 y[1] (numeric) = -3.489456689589179 absolute error = 1.77635683940025e-13 relative error = 5.090640169571714e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.43000000000022 y[1] (analytic) = -3.480944502313623 y[1] (numeric) = -3.480944502313807 absolute error = 1.84741111297626e-13 relative error = 5.307212199873833e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.44000000000023 y[1] (analytic) = -3.472428047005682 y[1] (numeric) = -3.472428047005869 absolute error = 1.874056465567264e-13 relative error = 5.39696270217402e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.45000000000023 y[1] (analytic) = -3.463907325486012 y[1] (numeric) = -3.463907325486197 absolute error = 1.851852005074761e-13 relative error = 5.346136114697966e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.46000000000023 y[1] (analytic) = -3.45538233957388 y[1] (numeric) = -3.455382339574072 absolute error = 1.918465386552271e-13 relative error = 5.552107402357265e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.47000000000023 y[1] (analytic) = -3.446853091087039 y[1] (numeric) = -3.446853091087223 absolute error = 1.838529328779259e-13 relative error = 5.333935854514297e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.48000000000023 y[1] (analytic) = -3.43831958184164 y[1] (numeric) = -3.43831958184183 absolute error = 1.900701818158268e-13 relative error = 5.527996374148008e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.49000000000023 y[1] (analytic) = -3.42978181365233 y[1] (numeric) = -3.429781813652526 absolute error = 1.962874307537277e-13 relative error = 5.723029668313034e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.50000000000023 y[1] (analytic) = -3.421239788332208 y[1] (numeric) = -3.4212397883324 absolute error = 1.91402449445377e-13 relative error = 5.594534767721796e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.51000000000024 y[1] (analytic) = -3.412693507692801 y[1] (numeric) = -3.412693507692996 absolute error = 1.953992523340276e-13 relative error = 5.725660739634658e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.52000000000024 y[1] (analytic) = -3.404142973544126 y[1] (numeric) = -3.404142973544319 absolute error = 1.936228954946273e-13 relative error = 5.687860263196948e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.53000000000024 y[1] (analytic) = -3.395588187694635 y[1] (numeric) = -3.395588187694834 absolute error = 1.989519660128281e-13 relative error = 5.85913117302668e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.54000000000024 y[1] (analytic) = -3.387029151951268 y[1] (numeric) = -3.387029151951468 absolute error = 2.002842336423782e-13 relative error = 5.913271621149009e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.55000000000024 y[1] (analytic) = -3.378465868119413 y[1] (numeric) = -3.378465868119614 absolute error = 2.007283228522283e-13 relative error = 5.941404492091601e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.56000000000024 y[1] (analytic) = -3.36989833800293 y[1] (numeric) = -3.369898338003131 absolute error = 2.016165012719284e-13 relative error = 5.982865981393684e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.57000000000025 y[1] (analytic) = -3.361326563404148 y[1] (numeric) = -3.361326563404348 absolute error = 1.998401444325282e-13 relative error = 5.945276088561362e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.58000000000025 y[1] (analytic) = -3.352750546123858 y[1] (numeric) = -3.352750546124063 absolute error = 2.051692149507289e-13 relative error = 6.119429767535993e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.59000000000025 y[1] (analytic) = -3.34417028796134 y[1] (numeric) = -3.344170287961547 absolute error = 2.069455717901292e-13 relative error = 6.188248622838119e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.60000000000025 y[1] (analytic) = -3.335585790714344 y[1] (numeric) = -3.335585790714547 absolute error = 2.029487689014786e-13 relative error = 6.084351644213457e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.61000000000025 y[1] (analytic) = -3.326997056179074 y[1] (numeric) = -3.326997056179284 absolute error = 2.096101070492296e-13 relative error = 6.300279306226936e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.62000000000025 y[1] (analytic) = -3.318404086150252 y[1] (numeric) = -3.318404086150459 absolute error = 2.069455717901292e-13 relative error = 6.236298124566587e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.63000000000025 y[1] (analytic) = -3.309806882421039 y[1] (numeric) = -3.309806882421254 absolute error = 2.149391775674303e-13 relative error = 6.494009626634403e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.64000000000026 y[1] (analytic) = -3.301205446783115 y[1] (numeric) = -3.301205446783332 absolute error = 2.171596236166806e-13 relative error = 6.578191727760945e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.65000000000026 y[1] (analytic) = -3.292599781026624 y[1] (numeric) = -3.292599781026841 absolute error = 2.167155344068306e-13 relative error = 6.581897248965352e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.66000000000026 y[1] (analytic) = -3.283989886940194 y[1] (numeric) = -3.283989886940413 absolute error = 2.189359804560809e-13 relative error = 6.666767803602191e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.67000000000026 y[1] (analytic) = -3.275375766310958 y[1] (numeric) = -3.275375766311172 absolute error = 2.136069099378801e-13 relative error = 6.521600120967637e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.68000000000026 y[1] (analytic) = -3.26675742092451 y[1] (numeric) = -3.266757420924729 absolute error = 2.189359804560809e-13 relative error = 6.7019356580851e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.69000000000026 y[1] (analytic) = -3.258134852564964 y[1] (numeric) = -3.258134852565187 absolute error = 2.220446049250313e-13 relative error = 6.815083321374093e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.70000000000027 y[1] (analytic) = -3.249508063014925 y[1] (numeric) = -3.249508063015143 absolute error = 2.180478020363807e-13 relative error = 6.71017882731683e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.71000000000027 y[1] (analytic) = -3.240877054055471 y[1] (numeric) = -3.240877054055693 absolute error = 2.220446049250313e-13 relative error = 6.851373909638931e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.72000000000027 y[1] (analytic) = -3.232241827466204 y[1] (numeric) = -3.232241827466424 absolute error = 2.202682480856311e-13 relative error = 6.814720551348788e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.73000000000027 y[1] (analytic) = -3.223602385025202 y[1] (numeric) = -3.223602385025429 absolute error = 2.26929586233382e-13 relative error = 7.039627073349738e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.74000000000027 y[1] (analytic) = -3.214958728509067 y[1] (numeric) = -3.214958728509299 absolute error = 2.318145675417327e-13 relative error = 7.210499017797232e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.75000000000027 y[1] (analytic) = -3.206310859692898 y[1] (numeric) = -3.206310859693129 absolute error = 2.304822999121825e-13 relative error = 7.188395324034743e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.76000000000028 y[1] (analytic) = -3.197658780350285 y[1] (numeric) = -3.197658780350518 absolute error = 2.335909243811329e-13 relative error = 7.305060997019339e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.77000000000028 y[1] (analytic) = -3.189002492253348 y[1] (numeric) = -3.189002492253574 absolute error = 2.264854970235319e-13 relative error = 7.102079649473631e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.78000000000028 y[1] (analytic) = -3.180341997172683 y[1] (numeric) = -3.180341997172913 absolute error = 2.309263891220326e-13 relative error = 7.26105523642821e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.79000000000028 y[1] (analytic) = -3.171677296877426 y[1] (numeric) = -3.171677296877663 absolute error = 2.362554596402333e-13 relative error = 7.44891227972124e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.80000000000028 y[1] (analytic) = -3.163008393135232 y[1] (numeric) = -3.163008393135462 absolute error = 2.295941214924824e-13 relative error = 7.258726280675608e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.81000000000028 y[1] (analytic) = -3.154335287712229 y[1] (numeric) = -3.154335287712466 absolute error = 2.366995488500834e-13 relative error = 7.503943850615717e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.82000000000028 y[1] (analytic) = -3.145657982373113 y[1] (numeric) = -3.145657982373344 absolute error = 2.313704783318826e-13 relative error = 7.355233138134575e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.83000000000029 y[1] (analytic) = -3.136976478881049 y[1] (numeric) = -3.136976478881286 absolute error = 2.366995488500834e-13 relative error = 7.545467759914905e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.84000000000029 y[1] (analytic) = -3.128290778997759 y[1] (numeric) = -3.128290778998001 absolute error = 2.429167977879843e-13 relative error = 7.765160432618412e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.85000000000029 y[1] (analytic) = -3.119600884483479 y[1] (numeric) = -3.119600884483722 absolute error = 2.429167977879843e-13 relative error = 7.786790899958496e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.86000000000029 y[1] (analytic) = -3.110906797096959 y[1] (numeric) = -3.110906797097201 absolute error = 2.420286193682841e-13 relative error = 7.780002267960607e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.87000000000029 y[1] (analytic) = -3.102208518595482 y[1] (numeric) = -3.102208518595722 absolute error = 2.393640841091838e-13 relative error = 7.715925047409621e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.88000000000029 y[1] (analytic) = -3.093506050734845 y[1] (numeric) = -3.093506050735091 absolute error = 2.460254222569347e-13 relative error = 7.952963990437087e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.8900000000003 y[1] (analytic) = -3.0847993952694 y[1] (numeric) = -3.084799395269648 absolute error = 2.486899575160351e-13 relative error = 8.061787028920129e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.9000000000003 y[1] (analytic) = -3.076088553952019 y[1] (numeric) = -3.076088553952263 absolute error = 2.438049762076844e-13 relative error = 7.925811365035471e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.9100000000003 y[1] (analytic) = -3.067373528534088 y[1] (numeric) = -3.067373528534336 absolute error = 2.486899575160351e-13 relative error = 8.107586350426816e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.9200000000003 y[1] (analytic) = -3.058654320765562 y[1] (numeric) = -3.058654320765807 absolute error = 2.446931546273845e-13 relative error = 8.000026448433026e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.9300000000003 y[1] (analytic) = -3.049930932394897 y[1] (numeric) = -3.049930932395149 absolute error = 2.522426711948356e-13 relative error = 8.270438799634295e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.9400000000003 y[1] (analytic) = -3.041203365169121 y[1] (numeric) = -3.041203365169376 absolute error = 2.55351295663786e-13 relative error = 8.396390014174074e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.9500000000003 y[1] (analytic) = -3.032471620833785 y[1] (numeric) = -3.032471620834042 absolute error = 2.562394740834861e-13 relative error = 8.449855633373824e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.96000000000031 y[1] (analytic) = -3.023735701132981 y[1] (numeric) = -3.023735701133241 absolute error = 2.597921877622866e-13 relative error = 8.591762423711291e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.97000000000031 y[1] (analytic) = -3.014995607809361 y[1] (numeric) = -3.014995607809615 absolute error = 2.540190280342358e-13 relative error = 8.425187332820072e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.98000000000031 y[1] (analytic) = -3.006251342604092 y[1] (numeric) = -3.006251342604349 absolute error = 2.575717417130363e-13 relative error = 8.567871157769567e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 21.99000000000031 y[1] (analytic) = -2.997502907256916 y[1] (numeric) = -2.997502907257178 absolute error = 2.620126338115369e-13 relative error = 8.741030181395579e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 23.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 23.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.00000000000031 y[1] (analytic) = -2.988750303506126 y[1] (numeric) = -2.988750303506384 absolute error = 2.575717417130363e-13 relative error = 8.618041507545039e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.01000000000031 y[1] (analytic) = -2.979993533088539 y[1] (numeric) = -2.979993533088803 absolute error = 2.642330798607873e-13 relative error = 8.866901116625229e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.02000000000032 y[1] (analytic) = -2.971232597739561 y[1] (numeric) = -2.971232597739823 absolute error = 2.615685446016869e-13 relative error = 8.803368164467554e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.03000000000032 y[1] (analytic) = -2.962467499193121 y[1] (numeric) = -2.962467499193387 absolute error = 2.664535259100376e-13 relative error = 8.99431051927526e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.04000000000032 y[1] (analytic) = -2.953698239181726 y[1] (numeric) = -2.953698239181996 absolute error = 2.69562150378988e-13 relative error = 9.126258965901196e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.05000000000032 y[1] (analytic) = -2.944924819436441 y[1] (numeric) = -2.944924819436707 absolute error = 2.664535259100376e-13 relative error = 9.047888902000147e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.06000000000032 y[1] (analytic) = -2.936147241686868 y[1] (numeric) = -2.936147241687141 absolute error = 2.731148640577885e-13 relative error = 9.301810896270966e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.07000000000032 y[1] (analytic) = -2.927365507661211 y[1] (numeric) = -2.927365507661478 absolute error = 2.673417043297377e-13 relative error = 9.132501685562582e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.08000000000033 y[1] (analytic) = -2.918579619086191 y[1] (numeric) = -2.918579619086465 absolute error = 2.731148640577885e-13 relative error = 9.357800701126697e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.09000000000033 y[1] (analytic) = -2.909789577687135 y[1] (numeric) = -2.909789577687411 absolute error = 2.757793993168889e-13 relative error = 9.477640631873246e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.10000000000033 y[1] (analytic) = -2.900995385187926 y[1] (numeric) = -2.900995385188197 absolute error = 2.713385072183883e-13 relative error = 9.353289860570082e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.11000000000033 y[1] (analytic) = -2.892197043310993 y[1] (numeric) = -2.892197043311271 absolute error = 2.775557561562891e-13 relative error = 9.596709767690749e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.12000000000033 y[1] (analytic) = -2.883394553777379 y[1] (numeric) = -2.883394553777652 absolute error = 2.731148640577885e-13 relative error = 9.471990702763712e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.13000000000033 y[1] (analytic) = -2.874587918306652 y[1] (numeric) = -2.874587918306932 absolute error = 2.797762022055394e-13 relative error = 9.732741184355518e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.14000000000033 y[1] (analytic) = -2.865777138616998 y[1] (numeric) = -2.865777138617279 absolute error = 2.802202914153895e-13 relative error = 9.778160612678404e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.15000000000034 y[1] (analytic) = -2.856962216425153 y[1] (numeric) = -2.856962216425436 absolute error = 2.828848266744899e-13 relative error = 9.901594954533799e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.16000000000034 y[1] (analytic) = -2.84814315344644 y[1] (numeric) = -2.848143153446725 absolute error = 2.851052727237402e-13 relative error = 1.00102156866218e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.17000000000034 y[1] (analytic) = -2.839319951394767 y[1] (numeric) = -2.839319951395048 absolute error = 2.811084698350896e-13 relative error = 9.900556282746506e-12 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 14 h = 0.01 Radius of convergence (given) for eq 1 = 24.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.18000000000034 y[1] (analytic) = -2.830492611982603 y[1] (numeric) = -2.830492611982889 absolute error = 2.864375403532904e-13 relative error = 1.011970634159885e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.19000000000034 y[1] (analytic) = -2.821661136921026 y[1] (numeric) = -2.821661136921316 absolute error = 2.895461648222408e-13 relative error = 1.02615498733555e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.20000000000034 y[1] (analytic) = -2.812825527919692 y[1] (numeric) = -2.81282552791998 absolute error = 2.877698079828406e-13 relative error = 1.023063126832716e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.21000000000035 y[1] (analytic) = -2.80398578668683 y[1] (numeric) = -2.803985786687122 absolute error = 2.913225216616411e-13 relative error = 1.038958624700683e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.22000000000035 y[1] (analytic) = -2.795141914929282 y[1] (numeric) = -2.795141914929569 absolute error = 2.873257187729905e-13 relative error = 1.027946800262054e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.23000000000035 y[1] (analytic) = -2.786293914352449 y[1] (numeric) = -2.786293914352742 absolute error = 2.930988785010413e-13 relative error = 1.051930943075542e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.24000000000035 y[1] (analytic) = -2.777441786660354 y[1] (numeric) = -2.77744178666065 absolute error = 2.962075029699918e-13 relative error = 1.066476008219625e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.25000000000035 y[1] (analytic) = -2.768585533555605 y[1] (numeric) = -2.768585533555901 absolute error = 2.962075029699918e-13 relative error = 1.069887490850182e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.26000000000035 y[1] (analytic) = -2.759725156739396 y[1] (numeric) = -2.759725156739695 absolute error = 2.984279490192421e-13 relative error = 1.081368368478524e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.27000000000035 y[1] (analytic) = -2.750860657911534 y[1] (numeric) = -2.75086065791183 absolute error = 2.953193245502916e-13 relative error = 1.073552466937745e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.28000000000036 y[1] (analytic) = -2.741992038770402 y[1] (numeric) = -2.741992038770705 absolute error = 3.028688411177427e-13 relative error = 1.104557696869021e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.29000000000036 y[1] (analytic) = -2.733119301013012 y[1] (numeric) = -2.733119301013318 absolute error = 3.059774655866931e-13 relative error = 1.119517415406216e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.30000000000036 y[1] (analytic) = -2.724242446334973 y[1] (numeric) = -2.724242446335272 absolute error = 2.988720382290921e-13 relative error = 1.097083112522441e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.31000000000036 y[1] (analytic) = -2.715361476430466 y[1] (numeric) = -2.715361476430772 absolute error = 3.055333763768431e-13 relative error = 1.125203325704128e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.32000000000036 y[1] (analytic) = -2.706476392992329 y[1] (numeric) = -2.70647639299263 absolute error = 3.015365734881925e-13 relative error = 1.114129701145511e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.33000000000036 y[1] (analytic) = -2.697587197711957 y[1] (numeric) = -2.697587197712268 absolute error = 3.104183576851938e-13 relative error = 1.15072594483131e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.34000000000037 y[1] (analytic) = -2.688693892279403 y[1] (numeric) = -2.688693892279714 absolute error = 3.108624468950438e-13 relative error = 1.156183854873501e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.35000000000037 y[1] (analytic) = -2.679796478383302 y[1] (numeric) = -2.67979647838361 absolute error = 3.073097332162433e-13 relative error = 1.146765195398871e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.36000000000037 y[1] (analytic) = -2.670894957710896 y[1] (numeric) = -2.67089495771121 absolute error = 3.135269821541442e-13 relative error = 1.173864892174023e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.37000000000037 y[1] (analytic) = -2.661989331948075 y[1] (numeric) = -2.661989331948382 absolute error = 3.073097332162433e-13 relative error = 1.15443638157389e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.38000000000037 y[1] (analytic) = -2.6530796027793 y[1] (numeric) = -2.653079602779612 absolute error = 3.12194714524594e-13 relative error = 1.176725772560863e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.39000000000037 y[1] (analytic) = -2.644165771887685 y[1] (numeric) = -2.644165771888004 absolute error = 3.18856052672345e-13 relative error = 1.205885259019565e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.40000000000038 y[1] (analytic) = -2.635247840954968 y[1] (numeric) = -2.635247840955281 absolute error = 3.135269821541442e-13 relative error = 1.189743815672865e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.41000000000038 y[1] (analytic) = -2.626325811661467 y[1] (numeric) = -2.626325811661787 absolute error = 3.206324095117452e-13 relative error = 1.220840187032647e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.42000000000038 y[1] (analytic) = -2.617399685686173 y[1] (numeric) = -2.617399685686491 absolute error = 3.175237850427948e-13 relative error = 1.213126855555319e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.43000000000038 y[1] (analytic) = -2.608469464706662 y[1] (numeric) = -2.608469464706985 absolute error = 3.232969447708456e-13 relative error = 1.239412418451302e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.44000000000038 y[1] (analytic) = -2.599535150399163 y[1] (numeric) = -2.59953515039949 absolute error = 3.268496584496461e-13 relative error = 1.257338868449068e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.45000000000038 y[1] (analytic) = -2.590596744438528 y[1] (numeric) = -2.590596744438852 absolute error = 3.237410339806956e-13 relative error = 1.249677452408215e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.46000000000038 y[1] (analytic) = -2.581654248498221 y[1] (numeric) = -2.581654248498551 absolute error = 3.290701044988964e-13 relative error = 1.274648240330092e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.47000000000039 y[1] (analytic) = -2.57270766425037 y[1] (numeric) = -2.572707664250694 absolute error = 3.246292124003958e-13 relative error = 1.261819276676293e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.48000000000039 y[1] (analytic) = -2.563756993365697 y[1] (numeric) = -2.563756993366026 absolute error = 3.295141937087465e-13 relative error = 1.285278575783271e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.49000000000039 y[1] (analytic) = -2.554802237513591 y[1] (numeric) = -2.554802237513925 absolute error = 3.33066907387547e-13 relative error = 1.303689586994011e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.50000000000039 y[1] (analytic) = -2.545843398362077 y[1] (numeric) = -2.545843398362403 absolute error = 3.25961480029946e-13 relative error = 1.280367363678615e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.51000000000039 y[1] (analytic) = -2.536880477577782 y[1] (numeric) = -2.536880477578116 absolute error = 3.339550858072471e-13 relative error = 1.316400550829687e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.52000000000039 y[1] (analytic) = -2.527913476826026 y[1] (numeric) = -2.527913476826355 absolute error = 3.290701044988964e-13 relative error = 1.301745916209392e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.5300000000004 y[1] (analytic) = -2.518942397770719 y[1] (numeric) = -2.518942397771055 absolute error = 3.361755318564974e-13 relative error = 1.334589993618016e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.5400000000004 y[1] (analytic) = -2.509967242074456 y[1] (numeric) = -2.509967242074794 absolute error = 3.379518886958977e-13 relative error = 1.346439439650155e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.5500000000004 y[1] (analytic) = -2.500988011398455 y[1] (numeric) = -2.500988011398795 absolute error = 3.40172334745148e-13 relative error = 1.360151800787469e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.5600000000004 y[1] (analytic) = -2.49200470740259 y[1] (numeric) = -2.492004707402928 absolute error = 3.388400671155978e-13 relative error = 1.359708776267802e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.5700000000004 y[1] (analytic) = -2.483017331745373 y[1] (numeric) = -2.483017331745711 absolute error = 3.383959779057477e-13 relative error = 1.362841787607987e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.5800000000004 y[1] (analytic) = -2.474025886083968 y[1] (numeric) = -2.474025886084311 absolute error = 3.432809592140984e-13 relative error = 1.387539884465249e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.5900000000004 y[1] (analytic) = -2.465030372074203 y[1] (numeric) = -2.465030372074549 absolute error = 3.459454944731988e-13 relative error = 1.403412705954217e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.60000000000041 y[1] (analytic) = -2.456030791370555 y[1] (numeric) = -2.456030791370897 absolute error = 3.415046023746982e-13 relative error = 1.390473619364219e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.61000000000041 y[1] (analytic) = -2.447027145626134 y[1] (numeric) = -2.447027145626482 absolute error = 3.481659405224491e-13 relative error = 1.422811925665672e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.62000000000041 y[1] (analytic) = -2.438019436492745 y[1] (numeric) = -2.438019436493089 absolute error = 3.441691376337985e-13 relative error = 1.411675118262835e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.63000000000041 y[1] (analytic) = -2.429007665620812 y[1] (numeric) = -2.42900766562116 absolute error = 3.481659405224491e-13 relative error = 1.433366989533415e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.64000000000041 y[1] (analytic) = -2.419991834659445 y[1] (numeric) = -2.419991834659798 absolute error = 3.530509218307998e-13 relative error = 1.458893029200998e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.65000000000041 y[1] (analytic) = -2.410971945256414 y[1] (numeric) = -2.410971945256766 absolute error = 3.526068326209497e-13 relative error = 1.462509065336507e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.66000000000042 y[1] (analytic) = -2.401947999058137 y[1] (numeric) = -2.401947999058491 absolute error = 3.534950110406498e-13 relative error = 1.47170134898534e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.67000000000042 y[1] (analytic) = -2.392919997709711 y[1] (numeric) = -2.392919997710064 absolute error = 3.526068326209497e-13 relative error = 1.473542086481927e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.68000000000042 y[1] (analytic) = -2.383887942854887 y[1] (numeric) = -2.383887942855243 absolute error = 3.561595462997502e-13 relative error = 1.494028053488211e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.69000000000042 y[1] (analytic) = -2.374851836136095 y[1] (numeric) = -2.374851836136454 absolute error = 3.592681707687007e-13 relative error = 1.512802463303282e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.70000000000042 y[1] (analytic) = -2.365811679194437 y[1] (numeric) = -2.365811679194792 absolute error = 3.557154570899002e-13 relative error = 1.503566239942741e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.71000000000042 y[1] (analytic) = -2.356767473669663 y[1] (numeric) = -2.356767473670024 absolute error = 3.606004383982508e-13 relative error = 1.530063709835443e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.72000000000043 y[1] (analytic) = -2.347719221200229 y[1] (numeric) = -2.347719221200588 absolute error = 3.583799923490005e-13 relative error = 1.526502782414437e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.73000000000043 y[1] (analytic) = -2.338666923423233 y[1] (numeric) = -2.338666923423598 absolute error = 3.650413304967515e-13 relative error = 1.560894913425383e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.74000000000043 y[1] (analytic) = -2.329610581974478 y[1] (numeric) = -2.329610581974844 absolute error = 3.663735981263017e-13 relative error = 1.572681721834295e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.75000000000043 y[1] (analytic) = -2.320550198488426 y[1] (numeric) = -2.320550198488794 absolute error = 3.677058657558518e-13 relative error = 1.584563290185967e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.76000000000043 y[1] (analytic) = -2.311485774598225 y[1] (numeric) = -2.311485774598594 absolute error = 3.68594044175552e-13 relative error = 1.594619565589236e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.77000000000043 y[1] (analytic) = -2.302417311935706 y[1] (numeric) = -2.30241731193607 absolute error = 3.637090628672013e-13 relative error = 1.579683496044516e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.78000000000043 y[1] (analytic) = -2.293344812131359 y[1] (numeric) = -2.293344812131732 absolute error = 3.734790254839027e-13 relative error = 1.628534110999225e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.79000000000044 y[1] (analytic) = -2.284268276814402 y[1] (numeric) = -2.284268276814776 absolute error = 3.739231146937527e-13 relative error = 1.636949208151763e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.80000000000044 y[1] (analytic) = -2.275187707612709 y[1] (numeric) = -2.275187707613078 absolute error = 3.694822225952521e-13 relative error = 1.623963690375857e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.81000000000044 y[1] (analytic) = -2.266103106152833 y[1] (numeric) = -2.266103106153207 absolute error = 3.739231146937527e-13 relative error = 1.650071056689749e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.82000000000044 y[1] (analytic) = -2.257014474060046 y[1] (numeric) = -2.257014474060418 absolute error = 3.717026686445024e-13 relative error = 1.646877647070922e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.83000000000044 y[1] (analytic) = -2.247921812958278 y[1] (numeric) = -2.247921812958656 absolute error = 3.774758283725532e-13 relative error = 1.679221342115066e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.84000000000044 y[1] (analytic) = -2.238825124470175 y[1] (numeric) = -2.238825124470559 absolute error = 3.836930773104541e-13 relative error = 1.713814415948438e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.85000000000045 y[1] (analytic) = -2.229724410217077 y[1] (numeric) = -2.229724410217457 absolute error = 3.796962744218035e-13 relative error = 1.702884323649835e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.86000000000045 y[1] (analytic) = -2.220619671818994 y[1] (numeric) = -2.220619671819378 absolute error = 3.83248988100604e-13 relative error = 1.725865050032049e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.87000000000045 y[1] (analytic) = -2.211510910894667 y[1] (numeric) = -2.211510910895043 absolute error = 3.765876499528531e-13 relative error = 1.702852326423769e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.88000000000045 y[1] (analytic) = -2.202398129061493 y[1] (numeric) = -2.202398129061875 absolute error = 3.82804898890754e-13 relative error = 1.738127606627956e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.89000000000045 y[1] (analytic) = -2.193281327935608 y[1] (numeric) = -2.193281327935995 absolute error = 3.868017017794045e-13 relative error = 1.763575410289366e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.90000000000045 y[1] (analytic) = -2.184160509131839 y[1] (numeric) = -2.184160509132224 absolute error = 3.850253449400043e-13 relative error = 1.762807006766386e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.91000000000045 y[1] (analytic) = -2.175035674263697 y[1] (numeric) = -2.175035674264088 absolute error = 3.916866830877552e-13 relative error = 1.800828775925024e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.92000000000046 y[1] (analytic) = -2.165906824943431 y[1] (numeric) = -2.165906824943817 absolute error = 3.868017017794045e-13 relative error = 1.785864919602472e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.93000000000046 y[1] (analytic) = -2.156773962781955 y[1] (numeric) = -2.156773962782347 absolute error = 3.921307722976053e-13 relative error = 1.818135692772404e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.94000000000046 y[1] (analytic) = -2.147637089388926 y[1] (numeric) = -2.147637089389321 absolute error = 3.952393967665557e-13 relative error = 1.840345367098379e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.95000000000046 y[1] (analytic) = -2.138496206372697 y[1] (numeric) = -2.138496206373092 absolute error = 3.956834859764058e-13 relative error = 1.850288463441146e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.96000000000046 y[1] (analytic) = -2.129351315340326 y[1] (numeric) = -2.129351315340724 absolute error = 3.983480212355062e-13 relative error = 1.870748233819931e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.97000000000046 y[1] (analytic) = -2.120202417897598 y[1] (numeric) = -2.120202417897993 absolute error = 3.943512183468556e-13 relative error = 1.859969666188269e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.98000000000047 y[1] (analytic) = -2.111049515648986 y[1] (numeric) = -2.111049515649387 absolute error = 4.005684672847565e-13 relative error = 1.897484944409806e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 22.99000000000047 y[1] (analytic) = -2.101892610197709 y[1] (numeric) = -2.101892610198112 absolute error = 4.032330025438569e-13 relative error = 1.918428185091378e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 24.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 24.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.00000000000047 y[1] (analytic) = -2.092731703145692 y[1] (numeric) = -2.09273170314609 absolute error = 3.987921104453562e-13 relative error = 1.905605529107776e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.01000000000047 y[1] (analytic) = -2.083566796093557 y[1] (numeric) = -2.083566796093962 absolute error = 4.054534485931072e-13 relative error = 1.945958485004104e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.02000000000047 y[1] (analytic) = -2.074397890640686 y[1] (numeric) = -2.074397890641087 absolute error = 4.014566457044566e-13 relative error = 1.935292392629965e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.03000000000047 y[1] (analytic) = -2.06522498838514 y[1] (numeric) = -2.065224988385548 absolute error = 4.085620730620576e-13 relative error = 1.978293286977533e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.04000000000048 y[1] (analytic) = -2.056048090923738 y[1] (numeric) = -2.05604809092415 absolute error = 4.11226608321158e-13 relative error = 2.00008263491737e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.05000000000048 y[1] (analytic) = -2.046867199852013 y[1] (numeric) = -2.046867199852421 absolute error = 4.085620730620576e-13 relative error = 1.99603605496046e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.06000000000048 y[1] (analytic) = -2.037682316764204 y[1] (numeric) = -2.037682316764619 absolute error = 4.147793219999585e-13 relative error = 2.035544591949049e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.07000000000048 y[1] (analytic) = -2.028493443253318 y[1] (numeric) = -2.028493443253726 absolute error = 4.085620730620576e-13 relative error = 2.014115817928412e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.08000000000048 y[1] (analytic) = -2.01930058091104 y[1] (numeric) = -2.019300580911455 absolute error = 4.152234112098085e-13 relative error = 2.056273420287305e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.09000000000048 y[1] (analytic) = -2.010103731327831 y[1] (numeric) = -2.010103731328249 absolute error = 4.174438572590589e-13 relative error = 2.076727935743418e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.10000000000048 y[1] (analytic) = -2.000902896092871 y[1] (numeric) = -2.000902896093283 absolute error = 4.11670697531008e-13 relative error = 2.057424667308296e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.11000000000049 y[1] (analytic) = -1.991698076794048 y[1] (numeric) = -1.991698076794466 absolute error = 4.18332035678759e-13 relative error = 2.100378770019853e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.12000000000049 y[1] (analytic) = -1.982489275018029 y[1] (numeric) = -1.982489275018444 absolute error = 4.150013666048835e-13 relative error = 2.093334737465904e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.13000000000049 y[1] (analytic) = -1.973276492350177 y[1] (numeric) = -1.973276492350597 absolute error = 4.198863479132342e-13 relative error = 2.127863730911569e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.14000000000049 y[1] (analytic) = -1.964059730374622 y[1] (numeric) = -1.964059730375044 absolute error = 4.221067939624845e-13 relative error = 2.149154567116818e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.15000000000049 y[1] (analytic) = -1.954838990674222 y[1] (numeric) = -1.954838990674645 absolute error = 4.227729277772596e-13 relative error = 2.162699484684647e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.16000000000049 y[1] (analytic) = -1.945614274830575 y[1] (numeric) = -1.945614274831 absolute error = 4.249933738265099e-13 relative error = 2.184366034544635e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.1700000000005 y[1] (analytic) = -1.936385584424031 y[1] (numeric) = -1.936385584424452 absolute error = 4.218847493575595e-13 relative error = 2.178722836769347e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.1800000000005 y[1] (analytic) = -1.927152921033663 y[1] (numeric) = -1.927152921034089 absolute error = 4.263256414560601e-13 relative error = 2.212204526184631e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.1900000000005 y[1] (analytic) = -1.917916286237311 y[1] (numeric) = -1.917916286237744 absolute error = 4.332090242087361e-13 relative error = 2.258748347450726e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.2000000000005 y[1] (analytic) = -1.90867568161157 y[1] (numeric) = -1.908675681611998 absolute error = 4.281019982954604e-13 relative error = 2.242926875528676e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.2100000000005 y[1] (analytic) = -1.899431108731747 y[1] (numeric) = -1.899431108732179 absolute error = 4.316547119742609e-13 relative error = 2.272547343201499e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.2200000000005 y[1] (analytic) = -1.890182569171937 y[1] (numeric) = -1.890182569172367 absolute error = 4.292122213200855e-13 relative error = 2.270744785823083e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.2300000000005 y[1] (analytic) = -1.880930064504959 y[1] (numeric) = -1.880930064505393 absolute error = 4.338751580235112e-13 relative error = 2.306705423083886e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.24000000000051 y[1] (analytic) = -1.871673596302404 y[1] (numeric) = -1.871673596302842 absolute error = 4.374278717023117e-13 relative error = 2.337094846913879e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.25000000000051 y[1] (analytic) = -1.862413166134615 y[1] (numeric) = -1.862413166135052 absolute error = 4.365396932826116e-13 relative error = 2.343946559337513e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.26000000000051 y[1] (analytic) = -1.853148775570677 y[1] (numeric) = -1.853148775571119 absolute error = 4.423128530106624e-13 relative error = 2.386817825106633e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.27000000000051 y[1] (analytic) = -1.843880426178458 y[1] (numeric) = -1.843880426178896 absolute error = 4.380940055170868e-13 relative error = 2.375935008025766e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.28000000000051 y[1] (analytic) = -1.83460811952455 y[1] (numeric) = -1.834608119524995 absolute error = 4.454214774796128e-13 relative error = 2.427883495877292e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.29000000000051 y[1] (analytic) = -1.825331857174344 y[1] (numeric) = -1.825331857174788 absolute error = 4.438671652451376e-13 relative error = 2.431706670217514e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.30000000000052 y[1] (analytic) = -1.81605164069197 y[1] (numeric) = -1.81605164069241 absolute error = 4.39648317751562e-13 relative error = 2.420902070736506e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.31000000000052 y[1] (analytic) = -1.80676747164031 y[1] (numeric) = -1.806767471640759 absolute error = 4.494182803682634e-13 relative error = 2.487416269234967e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.32000000000052 y[1] (analytic) = -1.797479351581057 y[1] (numeric) = -1.797479351581499 absolute error = 4.418687638008123e-13 relative error = 2.458268927607686e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.33000000000052 y[1] (analytic) = -1.788187282074606 y[1] (numeric) = -1.788187282075058 absolute error = 4.518607710224387e-13 relative error = 2.526920840742152e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.34000000000052 y[1] (analytic) = -1.778891264680183 y[1] (numeric) = -1.778891264680635 absolute error = 4.514166818125886e-13 relative error = 2.537629425561018e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.35000000000052 y[1] (analytic) = -1.769591300955742 y[1] (numeric) = -1.769591300956196 absolute error = 4.53637127861839e-13 relative error = 2.563513550370829e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.36000000000053 y[1] (analytic) = -1.760287392458025 y[1] (numeric) = -1.760287392458479 absolute error = 4.54081217071689e-13 relative error = 2.579585691616074e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.37000000000053 y[1] (analytic) = -1.750979540742545 y[1] (numeric) = -1.750979540742995 absolute error = 4.496403249731884e-13 relative error = 2.567935915359168e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.38000000000053 y[1] (analytic) = -1.741667747363572 y[1] (numeric) = -1.741667747364026 absolute error = 4.547473508864641e-13 relative error = 2.610987954360597e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.39000000000053 y[1] (analytic) = -1.732352013874173 y[1] (numeric) = -1.732352013874633 absolute error = 4.591882429849647e-13 relative error = 2.650663602474486e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.40000000000053 y[1] (analytic) = -1.723032341826194 y[1] (numeric) = -1.72303234182665 absolute error = 4.558575739110893e-13 relative error = 2.645670443004793e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.41000000000053 y[1] (analytic) = -1.713708732770229 y[1] (numeric) = -1.713708732770691 absolute error = 4.620748228489902e-13 relative error = 2.696343981990692e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.42000000000053 y[1] (analytic) = -1.704381188255692 y[1] (numeric) = -1.70438118825615 absolute error = 4.583000645652646e-13 relative error = 2.688952845309804e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.43000000000054 y[1] (analytic) = -1.695049709830737 y[1] (numeric) = -1.695049709831201 absolute error = 4.631850458736153e-13 relative error = 2.7325749987584e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.44000000000054 y[1] (analytic) = -1.685714299042331 y[1] (numeric) = -1.685714299042799 absolute error = 4.68070027181966e-13 relative error = 2.776686579973134e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.45000000000054 y[1] (analytic) = -1.676374957436224 y[1] (numeric) = -1.676374957436687 absolute error = 4.631850458736153e-13 relative error = 2.763015778892276e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.46000000000054 y[1] (analytic) = -1.667031686556921 y[1] (numeric) = -1.667031686557389 absolute error = 4.676259379721159e-13 relative error = 2.805141268417928e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.47000000000054 y[1] (analytic) = -1.657684487947751 y[1] (numeric) = -1.657684487948218 absolute error = 4.662936703425657e-13 relative error = 2.812921721429916e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.48000000000054 y[1] (analytic) = -1.648333363150801 y[1] (numeric) = -1.648333363151274 absolute error = 4.725109192804666e-13 relative error = 2.866598042869548e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.49000000000055 y[1] (analytic) = -1.638978313706971 y[1] (numeric) = -1.638978313707447 absolute error = 4.758415883543421e-13 relative error = 2.903281784602164e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.50000000000055 y[1] (analytic) = -1.629619341155948 y[1] (numeric) = -1.629619341156419 absolute error = 4.714006962558415e-13 relative error = 2.892704353407219e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.51000000000055 y[1] (analytic) = -1.620256447036187 y[1] (numeric) = -1.620256447036663 absolute error = 4.762856775641922e-13 relative error = 2.939569710927092e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.52000000000055 y[1] (analytic) = -1.610889632884973 y[1] (numeric) = -1.610889632885447 absolute error = 4.738431869100168e-13 relative error = 2.941500008671618e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.53000000000055 y[1] (analytic) = -1.601518900238354 y[1] (numeric) = -1.601518900238832 absolute error = 4.787281682183675e-13 relative error = 2.989213353318019e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.54000000000055 y[1] (analytic) = -1.592144250631197 y[1] (numeric) = -1.592144250631679 absolute error = 4.82058837292243e-13 relative error = 3.027733429939739e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.55000000000055 y[1] (analytic) = -1.582765685597163 y[1] (numeric) = -1.582765685597644 absolute error = 4.807265696626928e-13 relative error = 3.03725670854002e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.56000000000056 y[1] (analytic) = -1.573383206668698 y[1] (numeric) = -1.573383206669184 absolute error = 4.862776847858186e-13 relative error = 3.090650025529429e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.57000000000056 y[1] (analytic) = -1.563996815377077 y[1] (numeric) = -1.563996815377557 absolute error = 4.798383912429927e-13 relative error = 3.068026651494839e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.58000000000056 y[1] (analytic) = -1.554606513252335 y[1] (numeric) = -1.554606513252823 absolute error = 4.884981308350689e-13 relative error = 3.142262216649923e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.59000000000056 y[1] (analytic) = -1.545212301823355 y[1] (numeric) = -1.545212301823846 absolute error = 4.904965322793942e-13 relative error = 3.174298649451644e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.60000000000056 y[1] (analytic) = -1.535814182617809 y[1] (numeric) = -1.535814182618293 absolute error = 4.842792833414933e-13 relative error = 3.153241380516716e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.61000000000056 y[1] (analytic) = -1.526412157162149 y[1] (numeric) = -1.526412157162642 absolute error = 4.931610675384945e-13 relative error = 3.23085128236506e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.62000000000057 y[1] (analytic) = -1.517006226981689 y[1] (numeric) = -1.517006226982174 absolute error = 4.853895063661184e-13 relative error = 3.19965401415572e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.63000000000057 y[1] (analytic) = -1.50759639360049 y[1] (numeric) = -1.507596393600983 absolute error = 4.927169783286445e-13 relative error = 3.268228687864674e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.64000000000057 y[1] (analytic) = -1.498182658541477 y[1] (numeric) = -1.498182658541972 absolute error = 4.942712905631197e-13 relative error = 3.299139045196976e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.65000000000057 y[1] (analytic) = -1.488765023326359 y[1] (numeric) = -1.488765023326855 absolute error = 4.96269692007445e-13 relative error = 3.333431966977744e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.66000000000057 y[1] (analytic) = -1.479343489475664 y[1] (numeric) = -1.479343489476162 absolute error = 4.980460488468452e-13 relative error = 3.36666942052364e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.67000000000057 y[1] (analytic) = -1.469918058508743 y[1] (numeric) = -1.469918058509236 absolute error = 4.933831121434196e-13 relative error = 3.356534803334312e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.68000000000058 y[1] (analytic) = -1.460488731943737 y[1] (numeric) = -1.460488731944237 absolute error = 5.000444502911705e-13 relative error = 3.423815873099347e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.69000000000058 y[1] (analytic) = -1.451055511297639 y[1] (numeric) = -1.451055511298144 absolute error = 5.044853423896711e-13 relative error = 3.47667844863167e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.70000000000058 y[1] (analytic) = -1.441618398086252 y[1] (numeric) = -1.441618398086751 absolute error = 4.989342272665453e-13 relative error = 3.460931325022492e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.71000000000058 y[1] (analytic) = -1.432177393824169 y[1] (numeric) = -1.432177393824676 absolute error = 5.073719222536965e-13 relative error = 3.54266115665269e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.72000000000058 y[1] (analytic) = -1.422732500024857 y[1] (numeric) = -1.422732500025359 absolute error = 5.018208071305708e-13 relative error = 3.527162042912517e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.73000000000058 y[1] (analytic) = -1.41328371820055 y[1] (numeric) = -1.41328371820106 absolute error = 5.102585021177219e-13 relative error = 3.610446335343083e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.74000000000058 y[1] (analytic) = -1.403831049862355 y[1] (numeric) = -1.403831049862866 absolute error = 5.113687251423471e-13 relative error = 3.64266572670897e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.75000000000059 y[1] (analytic) = -1.394374496520179 y[1] (numeric) = -1.394374496520689 absolute error = 5.10480546722647e-13 relative error = 3.661000312302108e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.76000000000059 y[1] (analytic) = -1.384914059682757 y[1] (numeric) = -1.384914059683269 absolute error = 5.127009927718973e-13 relative error = 3.702041936734631e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.77000000000059 y[1] (analytic) = -1.375449740857665 y[1] (numeric) = -1.375449740858174 absolute error = 5.095923683029469e-13 relative error = 3.704914495713885e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.78000000000059 y[1] (analytic) = -1.365981541551285 y[1] (numeric) = -1.365981541551802 absolute error = 5.169198402654729e-13 relative error = 3.784237374675134e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.79000000000059 y[1] (analytic) = -1.356509463268864 y[1] (numeric) = -1.356509463269382 absolute error = 5.182521078950231e-13 relative error = 3.820482804787511e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.80000000000059 y[1] (analytic) = -1.34703350751446 y[1] (numeric) = -1.347033507514977 absolute error = 5.166977956605479e-13 relative error = 3.835819916714292e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.8100000000006 y[1] (analytic) = -1.337553675790961 y[1] (numeric) = -1.337553675791483 absolute error = 5.218048215738236e-13 relative error = 3.901187900106177e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.8200000000006 y[1] (analytic) = -1.328069969600115 y[1] (numeric) = -1.32806996960063 absolute error = 5.153655280309977e-13 relative error = 3.880560059543967e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.8300000000006 y[1] (analytic) = -1.318582390442465 y[1] (numeric) = -1.318582390442989 absolute error = 5.238032230181489e-13 relative error = 3.972472458413318e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.8400000000006 y[1] (analytic) = -1.309090939817438 y[1] (numeric) = -1.309090939817965 absolute error = 5.271338920920243e-13 relative error = 4.026717136744809e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.8500000000006 y[1] (analytic) = -1.299595619223279 y[1] (numeric) = -1.299595619223803 absolute error = 5.244693568329239e-13 relative error = 4.03563500118891e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.8600000000006 y[1] (analytic) = -1.290096430157064 y[1] (numeric) = -1.290096430157592 absolute error = 5.282441151166495e-13 relative error = 4.094609540562313e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.8700000000006 y[1] (analytic) = -1.280593374114737 y[1] (numeric) = -1.28059337411526 absolute error = 5.226929999935237e-13 relative error = 4.081646918990634e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.88000000000061 y[1] (analytic) = -1.271086452591049 y[1] (numeric) = -1.271086452591579 absolute error = 5.291322935363496e-13 relative error = 4.162834813145389e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.89000000000061 y[1] (analytic) = -1.261575667079633 y[1] (numeric) = -1.261575667080166 absolute error = 5.331290964250002e-13 relative error = 4.225898694282188e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.90000000000061 y[1] (analytic) = -1.252061019072958 y[1] (numeric) = -1.252061019073486 absolute error = 5.280220705117245e-13 relative error = 4.217223142228954e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.91000000000061 y[1] (analytic) = -1.242542510062314 y[1] (numeric) = -1.242542510062848 absolute error = 5.340172748447003e-13 relative error = 4.297778711956655e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.92000000000061 y[1] (analytic) = -1.233020141537882 y[1] (numeric) = -1.233020141538414 absolute error = 5.324629626102251e-13 relative error = 4.318363866677083e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.93000000000061 y[1] (analytic) = -1.223493914988655 y[1] (numeric) = -1.223493914989193 absolute error = 5.375699885235008e-13 relative error = 4.393728337655733e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.94000000000062 y[1] (analytic) = -1.213963831902504 y[1] (numeric) = -1.213963831903046 absolute error = 5.417888360170764e-13 relative error = 4.462973457520509e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.95000000000062 y[1] (analytic) = -1.204429893766147 y[1] (numeric) = -1.204429893766688 absolute error = 5.409006575973763e-13 relative error = 4.49092687251416e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.96000000000062 y[1] (analytic) = -1.194892102065143 y[1] (numeric) = -1.194892102065687 absolute error = 5.435651928564766e-13 relative error = 4.549073442840804e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.97000000000062 y[1] (analytic) = -1.185350458283928 y[1] (numeric) = -1.185350458284468 absolute error = 5.397904345727511e-13 relative error = 4.553846761524217e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.98000000000062 y[1] (analytic) = -1.175804963905765 y[1] (numeric) = -1.175804963906311 absolute error = 5.453415496958769e-13 relative error = 4.638027278642985e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 23.99000000000062 y[1] (analytic) = -1.166255620412809 y[1] (numeric) = -1.166255620413355 absolute error = 5.46229728115577e-13 relative error = 4.683619255976088e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 25.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 25.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.00000000000063 y[1] (analytic) = -1.156702429286057 y[1] (numeric) = -1.156702429286599 absolute error = 5.426770144367765e-13 relative error = 4.691587055555241e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.01000000000063 y[1] (analytic) = -1.147145392005353 y[1] (numeric) = -1.147145392005902 absolute error = 5.497824417943775e-13 relative error = 4.792613435279459e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.02000000000063 y[1] (analytic) = -1.137584510049429 y[1] (numeric) = -1.137584510049986 absolute error = 5.571099137569036e-13 relative error = 4.89730572836911e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.03000000000063 y[1] (analytic) = -1.128019784895884 y[1] (numeric) = -1.128019784896435 absolute error = 5.511147094239277e-13 relative error = 4.885683006657509e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.04000000000063 y[1] (analytic) = -1.118451218021143 y[1] (numeric) = -1.118451218021698 absolute error = 5.548894677076532e-13 relative error = 4.961230841067973e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.05000000000063 y[1] (analytic) = -1.108878810900539 y[1] (numeric) = -1.108878810901091 absolute error = 5.520028878436278e-13 relative error = 4.978027196636009e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.06000000000063 y[1] (analytic) = -1.099302565008237 y[1] (numeric) = -1.099302565008796 absolute error = 5.588862705963038e-13 relative error = 5.084007700756306e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.07000000000064 y[1] (analytic) = -1.089722481817304 y[1] (numeric) = -1.089722481817866 absolute error = 5.613287612504791e-13 relative error = 5.151116643150873e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.08000000000064 y[1] (analytic) = -1.080138562799661 y[1] (numeric) = -1.08013856280022 absolute error = 5.595524044110789e-13 relative error = 5.18037614508225e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.09000000000064 y[1] (analytic) = -1.070550809426091 y[1] (numeric) = -1.070550809426653 absolute error = 5.617728504603292e-13 relative error = 5.247512266713323e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.10000000000064 y[1] (analytic) = -1.060959223166272 y[1] (numeric) = -1.060959223166829 absolute error = 5.571099137569036e-13 relative error = 5.251002127059074e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.11000000000064 y[1] (analytic) = -1.05136380548872 y[1] (numeric) = -1.051363805489286 absolute error = 5.664357871637549e-13 relative error = 5.387628756160679e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.12000000000064 y[1] (analytic) = -1.041764557860869 y[1] (numeric) = -1.041764557861439 absolute error = 5.697664562376303e-13 relative error = 5.469244004687328e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.13000000000065 y[1] (analytic) = -1.032161481749011 y[1] (numeric) = -1.032161481749578 absolute error = 5.67323965583455e-13 relative error = 5.496465190912931e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.14000000000065 y[1] (analytic) = -1.022554578618301 y[1] (numeric) = -1.022554578618871 absolute error = 5.702105454474804e-13 relative error = 5.576333599894117e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.15000000000065 y[1] (analytic) = -1.012943849932796 y[1] (numeric) = -1.012943849933366 absolute error = 5.699885008425554e-13 relative error = 5.627049326380444e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.16000000000065 y[1] (analytic) = -1.003329297155418 y[1] (numeric) = -1.003329297155989 absolute error = 5.717648576819556e-13 relative error = 5.698675991052898e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.17000000000065 y[1] (analytic) = -0.9937109217479758 y[1] (numeric) = -0.9937109217485499 absolute error = 5.740963260336684e-13 relative error = 5.777297134098223e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.18000000000065 y[1] (analytic) = -0.9840887251711621 y[1] (numeric) = -0.9840887251717397 absolute error = 5.776490397124689e-13 relative error = 5.86988779504611e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.19000000000065 y[1] (analytic) = -0.9744627088845554 y[1] (numeric) = -0.9744627088851346 absolute error = 5.792033519469442e-13 relative error = 5.943822648790169e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.20000000000066 y[1] (analytic) = -0.964832874346623 y[1] (numeric) = -0.9648328743471959 absolute error = 5.728750807065808e-13 relative error = 5.937557642763023e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.21000000000066 y[1] (analytic) = -0.9551992230146915 y[1] (numeric) = -0.9551992230152713 absolute error = 5.797584634592567e-13 relative error = 6.069503088889549e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.22000000000066 y[1] (analytic) = -0.9455617563450076 y[1] (numeric) = -0.9455617563455967 absolute error = 5.890843368661081e-13 relative error = 6.229993259701681e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.23000000000066 y[1] (analytic) = -0.9359204757927166 y[1] (numeric) = -0.9359204757932973 absolute error = 5.806466418789569e-13 relative error = 6.204016867855724e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.24000000000066 y[1] (analytic) = -0.9262753828118022 y[1] (numeric) = -0.9262753828123885 absolute error = 5.863087793045452e-13 relative error = 6.32974588534077e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.25000000000066 y[1] (analytic) = -0.9166264788551928 y[1] (numeric) = -0.9166264788557777 absolute error = 5.84976511674995e-13 relative error = 6.381841733457153e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.26000000000067 y[1] (analytic) = -0.9069737653746763 y[1] (numeric) = -0.9069737653752653 absolute error = 5.889733145636455e-13 relative error = 6.493829667943451e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.27000000000067 y[1] (analytic) = -0.8973172438209538 y[1] (numeric) = -0.8973172438215459 absolute error = 5.92081939032596e-13 relative error = 6.598356858845087e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.28000000000067 y[1] (analytic) = -0.8876569156436211 y[1] (numeric) = -0.8876569156442096 absolute error = 5.88418203051333e-13 relative error = 6.628892229433974e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.29000000000067 y[1] (analytic) = -0.8779927822911482 y[1] (numeric) = -0.8779927822917434 absolute error = 5.951905635015464e-13 relative error = 6.778991530526925e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.30000000000067 y[1] (analytic) = -0.8683248452109424 y[1] (numeric) = -0.8683248452115323 absolute error = 5.898614929833457e-13 relative error = 6.79309703317369e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.31000000000067 y[1] (analytic) = -0.8586531058492675 y[1] (numeric) = -0.8586531058498609 absolute error = 5.934142066621462e-13 relative error = 6.910988880372341e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.32000000000068 y[1] (analytic) = -0.8489775656513139 y[1] (numeric) = -0.848977565651914 absolute error = 6.000755448098971e-13 relative error = 7.068214392090967e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.33000000000068 y[1] (analytic) = -0.8392982260611817 y[1] (numeric) = -0.8392982260617783 absolute error = 5.966338534335591e-13 relative error = 7.108722917639847e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.34000000000068 y[1] (analytic) = -0.8296150885218445 y[1] (numeric) = -0.8296150885224439 absolute error = 5.99409410995122e-13 relative error = 7.225150787253781e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.35000000000068 y[1] (analytic) = -0.8199281544752033 y[1] (numeric) = -0.8199281544758049 absolute error = 6.016298570443723e-13 relative error = 7.337592370266231e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.36000000000068 y[1] (analytic) = -0.8102374253620575 y[1] (numeric) = -0.8102374253626612 absolute error = 6.037392807911601e-13 relative error = 7.45138723407373e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.37000000000068 y[1] (analytic) = -0.8005429026221123 y[1] (numeric) = -0.8005429026227193 absolute error = 6.070699498650356e-13 relative error = 7.583228180234039e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.38000000000068 y[1] (analytic) = -0.7908445876939894 y[1] (numeric) = -0.7908445876945941 absolute error = 6.047384815133228e-13 relative error = 7.646742367886334e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.39000000000069 y[1] (analytic) = -0.781142482015202 y[1] (numeric) = -0.7811424820158094 absolute error = 6.074030167724231e-13 relative error = 7.775828747726491e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.40000000000069 y[1] (analytic) = -0.771436587022194 y[1] (numeric) = -0.7714365870227998 absolute error = 6.058487045379479e-13 relative error = 7.853512715498389e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.41000000000069 y[1] (analytic) = -0.7617269041503008 y[1] (numeric) = -0.7617269041509118 absolute error = 6.110667527536862e-13 relative error = 8.022123800856495e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.42000000000069 y[1] (analytic) = -0.7520134348337884 y[1] (numeric) = -0.7520134348344047 absolute error = 6.163958232718869e-13 relative error = 8.196606532809139e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.43000000000069 y[1] (analytic) = -0.7422961805058392 y[1] (numeric) = -0.7422961805064523 absolute error = 6.130651541980114e-13 relative error = 8.259036895222025e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.44000000000069 y[1] (analytic) = -0.7325751425985274 y[1] (numeric) = -0.7325751425991436 absolute error = 6.161737786669619e-13 relative error = 8.411065880304419e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.4500000000007 y[1] (analytic) = -0.7228503225428717 y[1] (numeric) = -0.7228503225434845 absolute error = 6.127320872906239e-13 relative error = 8.476610830512332e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.4600000000007 y[1] (analytic) = -0.7131217217687826 y[1] (numeric) = -0.7131217217693988 absolute error = 6.161737786669619e-13 relative error = 8.640513391439583e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.4700000000007 y[1] (analytic) = -0.7033893417051083 y[1] (numeric) = -0.7033893417057296 absolute error = 6.213918268827001e-13 relative error = 8.834251388802176e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.4800000000007 y[1] (analytic) = -0.6936531837796203 y[1] (numeric) = -0.6936531837802403 absolute error = 6.200595592531499e-13 relative error = 8.939042936046673e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.4900000000007 y[1] (analytic) = -0.6839132494189926 y[1] (numeric) = -0.683913249419616 absolute error = 6.233902283270254e-13 relative error = 9.115048273397488e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.5000000000007 y[1] (analytic) = -0.6741695400488474 y[1] (numeric) = -0.6741695400494644 absolute error = 6.169509347841995e-13 relative error = 9.151272760550675e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.51000000000071 y[1] (analytic) = -0.6644220570936916 y[1] (numeric) = -0.6644220570943176 absolute error = 6.259437412836633e-13 relative error = 9.420875399917639e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.52000000000071 y[1] (analytic) = -0.6546708019770016 y[1] (numeric) = -0.6546708019776328 absolute error = 6.31272811801864e-13 relative error = 9.642599149000087e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.53000000000071 y[1] (analytic) = -0.6449157761211666 y[1] (numeric) = -0.6449157761217938 absolute error = 6.272760089132134e-13 relative error = 9.726479520875622e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.54000000000071 y[1] (analytic) = -0.6351569809474817 y[1] (numeric) = -0.6351569809481121 absolute error = 6.303846333821639e-13 relative error = 9.924863495033955e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 26.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.55000000000071 y[1] (analytic) = -0.6253944178761977 y[1] (numeric) = -0.625394417876828 absolute error = 6.303846333821639e-13 relative error = 1.00797930931797e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.56000000000071 y[1] (analytic) = -0.6156280883264778 y[1] (numeric) = -0.6156280883271121 absolute error = 6.343814362708144e-13 relative error = 1.030462138261618e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.57000000000071 y[1] (analytic) = -0.6058579937164268 y[1] (numeric) = -0.6058579937170664 absolute error = 6.395994844865527e-13 relative error = 1.055692078209863e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.58000000000072 y[1] (analytic) = -0.5960841354630908 y[1] (numeric) = -0.5960841354637251 absolute error = 6.342704139683519e-13 relative error = 1.064061893671427e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.59000000000072 y[1] (analytic) = -0.586306514982418 y[1] (numeric) = -0.5863065149830565 absolute error = 6.384892614619275e-13 relative error = 1.089002501500558e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.60000000000072 y[1] (analytic) = -0.57652513368933 y[1] (numeric) = -0.5765251336899638 absolute error = 6.338263247585019e-13 relative error = 1.099390621016793e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.61000000000072 y[1] (analytic) = -0.5667399929976433 y[1] (numeric) = -0.5667399929982864 absolute error = 6.430411758628907e-13 relative error = 1.134631724967334e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.62000000000072 y[1] (analytic) = -0.5569510943201514 y[1] (numeric) = -0.5569510943208008 absolute error = 6.493694471032541e-13 relative error = 1.165936208269622e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.63000000000072 y[1] (analytic) = -0.547158439068582 y[1] (numeric) = -0.5471584390692223 absolute error = 6.403766406037903e-13 relative error = 1.170367840243663e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.64000000000073 y[1] (analytic) = -0.5373620286535612 y[1] (numeric) = -0.537362028654206 absolute error = 6.448175327022909e-13 relative error = 1.199968546936551e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.65000000000073 y[1] (analytic) = -0.5275618644847029 y[1] (numeric) = -0.5275618644853478 absolute error = 6.449285550047534e-13 relative error = 1.222470004792118e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.66000000000073 y[1] (analytic) = -0.5177579479705372 y[1] (numeric) = -0.5177579479711858 absolute error = 6.485922909860165e-13 relative error = 1.252694031116881e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.67000000000073 y[1] (analytic) = -0.5079502805185498 y[1] (numeric) = -0.5079502805192014 absolute error = 6.515898931525044e-13 relative error = 1.282782819781727e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.68000000000073 y[1] (analytic) = -0.4981388635351713 y[1] (numeric) = -0.4981388635358206 absolute error = 6.492584248007915e-13 relative error = 1.303368342299497e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.69000000000073 y[1] (analytic) = -0.4883236984257628 y[1] (numeric) = -0.488323698426415 absolute error = 6.52145004664817e-13 relative error = 1.335476870705178e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.70000000000073 y[1] (analytic) = -0.4785047865946552 y[1] (numeric) = -0.4785047865953031 absolute error = 6.478706460200101e-13 relative error = 1.353948098681876e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.71000000000074 y[1] (analytic) = -0.4686821294450958 y[1] (numeric) = -0.4686821294457516 absolute error = 6.5580874064608e-13 relative error = 1.399261246471112e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.72000000000074 y[1] (analytic) = -0.4588557283793158 y[1] (numeric) = -0.4588557283799763 absolute error = 6.605826996519681e-13 relative error = 1.439630495592056e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.73000000000074 y[1] (analytic) = -0.4490255847984841 y[1] (numeric) = -0.4490255847991437 absolute error = 6.595834989298055e-13 relative error = 1.46892186383058e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.74000000000074 y[1] (analytic) = -0.4391917001027075 y[1] (numeric) = -0.4391917001033715 absolute error = 6.640243910283061e-13 relative error = 1.511923815666417e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.75000000000074 y[1] (analytic) = -0.4293540756910694 y[1] (numeric) = -0.4293540756917306 absolute error = 6.611378111642807e-13 relative error = 1.539842867684771e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.76000000000074 y[1] (analytic) = -0.4195127129615841 y[1] (numeric) = -0.4195127129622456 absolute error = 6.614708780716683e-13 relative error = 1.576760030469544e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.77000000000075 y[1] (analytic) = -0.4096676133112283 y[1] (numeric) = -0.4096676133118963 absolute error = 6.680767050681879e-13 relative error = 1.63077744825448e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.78000000000075 y[1] (analytic) = -0.3998187781359555 y[1] (numeric) = -0.3998187781366189 absolute error = 6.634692795159935e-13 relative error = 1.659425009023427e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.79000000000075 y[1] (analytic) = -0.3899662088306393 y[1] (numeric) = -0.3899662088313071 absolute error = 6.677991493120317e-13 relative error = 1.712453884952001e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.80000000000075 y[1] (analytic) = -0.3801099067891478 y[1] (numeric) = -0.3801099067898129 absolute error = 6.651346140529313e-13 relative error = 1.749848141742569e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.81000000000075 y[1] (analytic) = -0.3702498734042763 y[1] (numeric) = -0.3702498734049486 absolute error = 6.723510637129948e-13 relative error = 1.815938672796935e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.82000000000075 y[1] (analytic) = -0.3603861100678074 y[1] (numeric) = -0.3603861100684872 absolute error = 6.797895579779833e-13 relative error = 1.886281238336515e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.83000000000076 y[1] (analytic) = -0.35051861817049 y[1] (numeric) = -0.3505186181711639 absolute error = 6.738498647962388e-13 relative error = 1.922436726224005e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.84000000000076 y[1] (analytic) = -0.340647399102 y[1] (numeric) = -0.3406473991026771 absolute error = 6.770140004164205e-13 relative error = 1.98743334662509e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.85000000000076 y[1] (analytic) = -0.3307724542510151 y[1] (numeric) = -0.3307724542516898 absolute error = 6.746825320647076e-13 relative error = 2.039718009749106e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.86000000000076 y[1] (analytic) = -0.3208937850051505 y[1] (numeric) = -0.3208937850058305 absolute error = 6.800116025829084e-13 relative error = 2.119117397589965e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.87000000000076 y[1] (analytic) = -0.3110113927510127 y[1] (numeric) = -0.3110113927516946 absolute error = 6.818989817247711e-13 relative error = 2.192520909581859e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.88000000000076 y[1] (analytic) = -0.3011252788741636 y[1] (numeric) = -0.3011252788748454 absolute error = 6.817879594223086e-13 relative error = 2.264133924495987e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.89000000000076 y[1] (analytic) = -0.2912354447591277 y[1] (numeric) = -0.2912354447598151 absolute error = 6.874500968478969e-13 relative error = 2.360461644414425e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.90000000000077 y[1] (analytic) = -0.2813418917894275 y[1] (numeric) = -0.2813418917901063 absolute error = 6.787903572558207e-13 relative error = 2.412688536849203e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.91000000000077 y[1] (analytic) = -0.2714446213475057 y[1] (numeric) = -0.2714446213481929 absolute error = 6.871725410917406e-13 relative error = 2.531538616165898e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.92000000000077 y[1] (analytic) = -0.2615436348148279 y[1] (numeric) = -0.2615436348155213 absolute error = 6.934453011808728e-13 relative error = 2.651356060229988e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.93000000000077 y[1] (analytic) = -0.2516389335718223 y[1] (numeric) = -0.2516389335725118 absolute error = 6.894484982922222e-13 relative error = 2.739832380093286e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.94000000000077 y[1] (analytic) = -0.2417305189978656 y[1] (numeric) = -0.2417305189985591 absolute error = 6.93500812332104e-13 relative error = 2.868900522809979e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.95000000000077 y[1] (analytic) = -0.2318183924713431 y[1] (numeric) = -0.2318183924720341 absolute error = 6.910860772535443e-13 relative error = 2.981152918394838e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.96000000000078 y[1] (analytic) = -0.2219025553695921 y[1] (numeric) = -0.2219025553702849 absolute error = 6.927791673660977e-13 relative error = 3.12199724880244e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.97000000000078 y[1] (analytic) = -0.2119830090689412 y[1] (numeric) = -0.2119830090696376 absolute error = 6.963873921961294e-13 relative error = 3.285109477664081e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.98000000000078 y[1] (analytic) = -0.2020597549447025 y[1] (numeric) = -0.2020597549453977 absolute error = 6.951661468690418e-13 relative error = 3.440398841715349e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 24.99000000000078 y[1] (analytic) = -0.192132794371151 y[1] (numeric) = -0.1921327943718513 absolute error = 7.002176616310862e-13 relative error = 3.644446352445414e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 26.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 26.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.00000000000078 y[1] (analytic) = -0.1822021287215705 y[1] (numeric) = -0.182202128722266 absolute error = 6.955269693520449e-13 relative error = 3.817337229988703e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.01000000000078 y[1] (analytic) = -0.1722677593681894 y[1] (numeric) = -0.1722677593688924 absolute error = 7.030209747682648e-13 relative error = 4.080978224519028e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.02000000000078 y[1] (analytic) = -0.1623296876822558 y[1] (numeric) = -0.1623296876829647 absolute error = 7.08988423525625e-13 relative error = 4.367583241541125e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.03000000000079 y[1] (analytic) = -0.152387915033998 y[1] (numeric) = -0.1523879150347024 absolute error = 7.044642647002775e-13 relative error = 4.622835508597322e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.04000000000079 y[1] (analytic) = -0.1424424427925999 y[1] (numeric) = -0.1424424427933109 absolute error = 7.110423361211815e-13 relative error = 4.991787013625418e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.05000000000079 y[1] (analytic) = -0.1324932723262755 y[1] (numeric) = -0.132493272326983 absolute error = 7.075451335936123e-13 relative error = 5.340234422252208e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.06000000000079 y[1] (analytic) = -0.1225404050021908 y[1] (numeric) = -0.1225404050029 absolute error = 7.092382237061656e-13 relative error = 5.787790759247825e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.07000000000079 y[1] (analytic) = -0.1125838421865168 y[1] (numeric) = -0.1125838421872325 absolute error = 7.156220060977603e-13 relative error = 6.35634734256266e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.08000000000079 y[1] (analytic) = -0.1026235852444302 y[1] (numeric) = -0.1026235852451418 absolute error = 7.116390809969175e-13 relative error = 6.934459357485187e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.0900000000008 y[1] (analytic) = -0.09265963554006618 y[1] (numeric) = -0.09265963554078108 absolute error = 7.149003611317539e-13 relative error = 7.715337503379558e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.1000000000008 y[1] (analytic) = -0.08269199443658692 y[1] (numeric) = -0.08269199443729629 absolute error = 7.09363123796436e-13 relative error = 8.5783772495706e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.1100000000008 y[1] (analytic) = -0.07272066329610638 y[1] (numeric) = -0.07272066329682739 absolute error = 7.210065877671923e-13 relative error = 9.914741630331038e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.1200000000008 y[1] (analytic) = -0.06274564347978284 y[1] (numeric) = -0.06274564348050944 absolute error = 7.265993362537415e-13 relative error = 1.158007625641544e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.1300000000008 y[1] (analytic) = -0.05276693634775498 y[1] (numeric) = -0.05276693634847372 absolute error = 7.187375694606146e-13 relative error = 1.362098350231762e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.1400000000008 y[1] (analytic) = -0.04278454325912406 y[1] (numeric) = -0.04278454325984882 absolute error = 7.247535904753022e-13 relative error = 1.693961265604358e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.15000000000081 y[1] (analytic) = -0.03279846557203925 y[1] (numeric) = -0.03279846557276177 absolute error = 7.225192666382441e-13 relative error = 2.202905697070759e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.16000000000081 y[1] (analytic) = -0.02280870464361229 y[1] (numeric) = -0.02280870464433914 absolute error = 7.268491364342822e-13 relative error = 3.186718175325404e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.17000000000081 y[1] (analytic) = -0.01281526182997794 y[1] (numeric) = -0.01281526183070813 absolute error = 7.301902138490135e-13 relative error = 5.697817364456223e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.18000000000081 y[1] (analytic) = -0.002818138486269106 y[1] (numeric) = -0.002818138486997713 absolute error = 7.286064113154467e-13 relative error = 2.585417341502044e-08 % Desired digits = 10 Estimated correct digits = 8 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 27.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.19000000000081 y[1] (analytic) = 0.007182664033393849 y[1] (numeric) = 0.007182664032660317 absolute error = 7.335312912637448e-13 relative error = 1.021252404196257e-08 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 10 h = 0.01 Radius of convergence (given) for eq 1 = 27.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.20000000000081 y[1] (analytic) = 0.01718714437585689 y[1] (numeric) = 0.01718714437513021 absolute error = 7.266826029805884e-13 relative error = 4.228058990424107e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.21000000000081 y[1] (analytic) = 0.02719530118900693 y[1] (numeric) = 0.02719530118827115 absolute error = 7.357725539947069e-13 relative error = 2.705513532948574e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.22000000000082 y[1] (analytic) = 0.03720713312167589 y[1] (numeric) = 0.03720713312093621 absolute error = 7.396860901565105e-13 relative error = 1.9880222637352e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.23000000000082 y[1] (analytic) = 0.04722263882370825 y[1] (numeric) = 0.0472226388229712 absolute error = 7.370562493669297e-13 relative error = 1.560811228949977e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.24000000000082 y[1] (analytic) = 0.05724181694595387 y[1] (numeric) = 0.05724181694521359 absolute error = 7.402828350322466e-13 relative error = 1.293255306223422e-09 % Desired digits = 10 Estimated correct digits = 9 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.25000000000082 y[1] (analytic) = 0.06726466614022897 y[1] (numeric) = 0.06726466613949145 absolute error = 7.375211552584915e-13 relative error = 1.096446615405711e-09 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 11 h = 0.01 Radius of convergence (given) for eq 1 = 27.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.26000000000082 y[1] (analytic) = 0.07729118505936228 y[1] (numeric) = 0.07729118505862231 absolute error = 7.399636459126668e-13 relative error = 9.573713294010816e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.27000000000082 y[1] (analytic) = 0.08732137235715953 y[1] (numeric) = 0.08732137235641213 absolute error = 7.474021401776554e-13 relative error = 8.559212023382445e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.28000000000083 y[1] (analytic) = 0.09735522668839991 y[1] (numeric) = 0.09735522668765415 absolute error = 7.457645612163333e-13 relative error = 7.660241638625785e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.29000000000083 y[1] (analytic) = 0.1073927467088751 y[1] (numeric) = 0.1073927467081278 absolute error = 7.473049956630007e-13 relative error = 6.958617025494536e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.30000000000083 y[1] (analytic) = 0.1174339310753396 y[1] (numeric) = 0.1174339310745977 absolute error = 7.41892658417953e-13 relative error = 6.317532348823379e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.31000000000083 y[1] (analytic) = 0.1274787784455604 y[1] (numeric) = 0.1274787784448126 absolute error = 7.478739849631211e-13 relative error = 5.866654780368006e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.32000000000083 y[1] (analytic) = 0.1375272874782603 y[1] (numeric) = 0.137527287477504 absolute error = 7.563116799502723e-13 relative error = 5.499357209890632e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.33000000000083 y[1] (analytic) = 0.1475794568331388 y[1] (numeric) = 0.1475794568323854 absolute error = 7.533418333594e-13 relative error = 5.10465243283263e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.34000000000083 y[1] (analytic) = 0.1576352851709082 y[1] (numeric) = 0.1576352851701514 absolute error = 7.568390358869692e-13 relative error = 4.801203201849156e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.35000000000084 y[1] (analytic) = 0.1676947711532328 y[1] (numeric) = 0.1676947711524758 absolute error = 7.570610804918942e-13 relative error = 4.514518105040508e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.36000000000084 y[1] (analytic) = 0.1777579134427683 y[1] (numeric) = 0.1777579134420114 absolute error = 7.568112803113536e-13 relative error = 4.257539175914213e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.37000000000084 y[1] (analytic) = 0.1878247107031505 y[1] (numeric) = 0.1878247107023887 absolute error = 7.618072839221668e-13 relative error = 4.055948128817687e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.38000000000084 y[1] (analytic) = 0.1978951615989715 y[1] (numeric) = 0.1978951615982145 absolute error = 7.569500581894317e-13 relative error = 3.825005382008116e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.39000000000084 y[1] (analytic) = 0.2079692647958353 y[1] (numeric) = 0.2079692647950711 absolute error = 7.642497745763421e-13 relative error = 3.674820773764867e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.40000000000084 y[1] (analytic) = 0.2180470189602737 y[1] (numeric) = 0.2180470189595151 absolute error = 7.585321259995226e-13 relative error = 3.478754855794294e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.41000000000085 y[1] (analytic) = 0.2281284227598412 y[1] (numeric) = 0.2281284227590767 absolute error = 7.645273303324984e-13 relative error = 3.351302398374722e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.42000000000085 y[1] (analytic) = 0.2382134748630271 y[1] (numeric) = 0.2382134748622581 absolute error = 7.690514891578459e-13 relative error = 3.228413042545351e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.43000000000085 y[1] (analytic) = 0.248302173939301 y[1] (numeric) = 0.2483021739385327 absolute error = 7.68302088616224e-13 relative error = 3.094222158538331e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.44000000000085 y[1] (analytic) = 0.258394518659113 y[1] (numeric) = 0.2583945186583441 absolute error = 7.688849557041522e-13 relative error = 2.97562409486907e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.45000000000085 y[1] (analytic) = 0.2684905076938726 y[1] (numeric) = 0.268490507693105 absolute error = 7.676081992258332e-13 relative error = 2.858977048458802e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.46000000000085 y[1] (analytic) = 0.2785901397159662 y[1] (numeric) = 0.278590139715196 absolute error = 7.702172233337023e-13 relative error = 2.764696640444524e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.47000000000086 y[1] (analytic) = 0.2886934133987431 y[1] (numeric) = 0.2886934133979648 absolute error = 7.78321851413466e-13 relative error = 2.696015271877535e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.48000000000086 y[1] (analytic) = 0.2988003274164974 y[1] (numeric) = 0.2988003274157248 absolute error = 7.726597139878777e-13 relative error = 2.585873049967807e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.49000000000086 y[1] (analytic) = 0.3089108804445324 y[1] (numeric) = 0.3089108804437543 absolute error = 7.78099806808541e-13 relative error = 2.518848820374443e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.50000000000086 y[1] (analytic) = 0.3190250711590679 y[1] (numeric) = 0.3190250711582955 absolute error = 7.723821582317214e-13 relative error = 2.421070404985842e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.51000000000086 y[1] (analytic) = 0.3291428982373326 y[1] (numeric) = 0.3291428982365532 absolute error = 7.793765632868599e-13 relative error = 2.36789724906925e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.52000000000086 y[1] (analytic) = 0.3392643603574825 y[1] (numeric) = 0.3392643603566939 absolute error = 7.886469255424799e-13 relative error = 2.324579347832126e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.53000000000086 y[1] (analytic) = 0.3493894561986259 y[1] (numeric) = 0.3493894561978448 absolute error = 7.811529201262601e-13 relative error = 2.235765579835297e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.54000000000087 y[1] (analytic) = 0.3595181844408799 y[1] (numeric) = 0.3595181844400926 absolute error = 7.872591467616985e-13 relative error = 2.189761688928304e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.55000000000087 y[1] (analytic) = 0.3696505437652675 y[1] (numeric) = 0.3696505437644828 absolute error = 7.847611449562919e-13 relative error = 2.12298117287398e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.56000000000087 y[1] (analytic) = 0.3797865328538066 y[1] (numeric) = 0.3797865328530179 absolute error = 7.887024366937112e-13 relative error = 2.07669932571651e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.57000000000087 y[1] (analytic) = 0.3899261503894458 y[1] (numeric) = 0.3899261503886574 absolute error = 7.884248809375549e-13 relative error = 2.021985137827e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.58000000000087 y[1] (analytic) = 0.4000693950561072 y[1] (numeric) = 0.4000693950553157 absolute error = 7.914224831040428e-13 relative error = 1.978213012252664e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.59000000000087 y[1] (analytic) = 0.4102162655386579 y[1] (numeric) = 0.4102162655378622 absolute error = 7.956968417488497e-13 relative error = 1.939700856824911e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.60000000000088 y[1] (analytic) = 0.42036676052291 y[1] (numeric) = 0.420366760522119 absolute error = 7.91033905045424e-13 relative error = 1.881770823319682e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.61000000000088 y[1] (analytic) = 0.4305208786956598 y[1] (numeric) = 0.4305208786948608 absolute error = 7.989719996714939e-13 relative error = 1.855826370354262e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.62000000000088 y[1] (analytic) = 0.4406786187446166 y[1] (numeric) = 0.4406786187438137 absolute error = 8.02857780257682e-13 relative error = 1.821866880096936e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.63000000000088 y[1] (analytic) = 0.4508399793584488 y[1] (numeric) = 0.4508399793576538 absolute error = 7.949751967828433e-13 relative error = 1.763320098439592e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.64000000000088 y[1] (analytic) = 0.4610049592268091 y[1] (numeric) = 0.4610049592260065 absolute error = 8.025802245015257e-13 relative error = 1.740936205648637e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.65000000000088 y[1] (analytic) = 0.4711735570402489 y[1] (numeric) = 0.4711735570394454 absolute error = 8.03523914072457e-13 relative error = 1.705367166867172e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.66000000000088 y[1] (analytic) = 0.4813457714902931 y[1] (numeric) = 0.4813457714894911 absolute error = 8.020251129892131e-13 relative error = 1.666214103234076e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.67000000000089 y[1] (analytic) = 0.4915216012694188 y[1] (numeric) = 0.4915216012686105 absolute error = 8.082978730783452e-13 relative error = 1.644480875287699e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.68000000000089 y[1] (analytic) = 0.5017010450710231 y[1] (numeric) = 0.5017010450702155 absolute error = 8.075762281123389e-13 relative error = 1.609676192717547e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.69000000000089 y[1] (analytic) = 0.5118841015894731 y[1] (numeric) = 0.5118841015886622 absolute error = 8.109068971862143e-13 relative error = 1.584161130748607e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.70000000000089 y[1] (analytic) = 0.5220707695200559 y[1] (numeric) = 0.5220707695192494 absolute error = 8.065770273901762e-13 relative error = 1.544957263421718e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.71000000000089 y[1] (analytic) = 0.5322610475590288 y[1] (numeric) = 0.5322610475582182 absolute error = 8.105738302788268e-13 relative error = 1.522887752158742e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.72000000000089 y[1] (analytic) = 0.542454934403569 y[1] (numeric) = 0.5424549344027508 absolute error = 8.181233468462779e-13 relative error = 1.508186754252327e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.7300000000009 y[1] (analytic) = 0.5526524287517809 y[1] (numeric) = 0.5526524287509692 absolute error = 8.116840533034519e-13 relative error = 1.468706208596096e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.7400000000009 y[1] (analytic) = 0.5628535293027568 y[1] (numeric) = 0.5628535293019343 absolute error = 8.22453216642316e-13 relative error = 1.461220679669793e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.7500000000009 y[1] (analytic) = 0.5730582347564628 y[1] (numeric) = 0.5730582347556452 absolute error = 8.175682353339653e-13 relative error = 1.426675660077398e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.7600000000009 y[1] (analytic) = 0.5832665438138598 y[1] (numeric) = 0.5832665438130377 absolute error = 8.221201497349284e-13 relative error = 1.409510211848007e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.7700000000009 y[1] (analytic) = 0.593478455176804 y[1] (numeric) = 0.5934784551759835 absolute error = 8.204548151979907e-13 relative error = 1.382450884343506e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.7800000000009 y[1] (analytic) = 0.6036939675481143 y[1] (numeric) = 0.6036939675472895 absolute error = 8.247846849940288e-13 relative error = 1.366229794118812e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.79000000000091 y[1] (analytic) = 0.6139130796315229 y[1] (numeric) = 0.6139130796306963 absolute error = 8.26561041833429e-13 relative error = 1.346381221148668e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.80000000000091 y[1] (analytic) = 0.6241357901316995 y[1] (numeric) = 0.6241357901308774 absolute error = 8.221201497349284e-13 relative error = 1.317213597959912e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.81000000000091 y[1] (analytic) = 0.6343620977542663 y[1] (numeric) = 0.6343620977534382 absolute error = 8.281153540679043e-13 relative error = 1.305430064311144e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.82000000000091 y[1] (analytic) = 0.6445920012057478 y[1] (numeric) = 0.6445920012049151 absolute error = 8.326672684688674e-13 relative error = 1.291774125200613e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.83000000000091 y[1] (analytic) = 0.6548254991936062 y[1] (numeric) = 0.6548254991927742 absolute error = 8.320011346540923e-13 relative error = 1.270569236657203e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.84000000000091 y[1] (analytic) = 0.6650625904262419 y[1] (numeric) = 0.6650625904254106 absolute error = 8.313350008393172e-13 relative error = 1.250010168676772e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.85000000000091 y[1] (analytic) = 0.6753032736129789 y[1] (numeric) = 0.6753032736121473 absolute error = 8.316680677467048e-13 relative error = 1.231547513900162e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.86000000000092 y[1] (analytic) = 0.6855475474640684 y[1] (numeric) = 0.6855475474632339 absolute error = 8.345546476107302e-13 relative error = 1.217354873046893e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.87000000000092 y[1] (analytic) = 0.6957954106906854 y[1] (numeric) = 0.6957954106898463 absolute error = 8.391065620116933e-13 relative error = 1.205967370751625e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.88000000000092 y[1] (analytic) = 0.7060468620049249 y[1] (numeric) = 0.7060468620040851 absolute error = 8.398837181289309e-13 relative error = 1.189558035487838e-10 % Desired digits = 10 Estimated correct digits = 10 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.89000000000092 y[1] (analytic) = 0.7163019001198165 y[1] (numeric) = 0.7163019001189745 absolute error = 8.419931418757187e-13 relative error = 1.175472439393052e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.90000000000092 y[1] (analytic) = 0.7265605237492991 y[1] (numeric) = 0.7265605237484623 absolute error = 8.36886115962443e-13 relative error = 1.151846389401706e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.91000000000092 y[1] (analytic) = 0.7368227316082638 y[1] (numeric) = 0.7368227316074174 absolute error = 8.464340339742193e-13 relative error = 1.148762107443003e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.92000000000093 y[1] (analytic) = 0.7470885224124828 y[1] (numeric) = 0.7470885224116302 absolute error = 8.526512829121202e-13 relative error = 1.141298865305488e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.93000000000093 y[1] (analytic) = 0.757357894878659 y[1] (numeric) = 0.7573578948778106 absolute error = 8.484324354185446e-13 relative error = 1.120252975714312e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.94000000000093 y[1] (analytic) = 0.7676308477244405 y[1] (numeric) = 0.7676308477235877 absolute error = 8.527623052145827e-13 relative error = 1.110901558662612e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.95000000000093 y[1] (analytic) = 0.7779073796683598 y[1] (numeric) = 0.7779073796675086 absolute error = 8.512079929801075e-13 relative error = 1.094227944389726e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.96000000000093 y[1] (analytic) = 0.7881874894298875 y[1] (numeric) = 0.788187489429037 absolute error = 8.504308368628699e-13 relative error = 1.07897023013903e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.97000000000093 y[1] (analytic) = 0.7984711757294107 y[1] (numeric) = 0.7984711757285531 absolute error = 8.576472865229334e-13 relative error = 1.074111768329602e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.98000000000093 y[1] (analytic) = 0.8087584372882048 y[1] (numeric) = 0.8087584372873515 absolute error = 8.533174167268953e-13 relative error = 1.05509553580436e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 25.99000000000094 y[1] (analytic) = 0.8190492728284973 y[1] (numeric) = 0.8190492728276414 absolute error = 8.558709296835332e-13 relative error = 1.044956583293062e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 27.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 27.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.00000000000094 y[1] (analytic) = 0.8293436810734001 y[1] (numeric) = 0.8293436810725446 absolute error = 8.554268404736831e-13 relative error = 1.03145036249209e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.01000000000094 y[1] (analytic) = 0.8396416607469561 y[1] (numeric) = 0.8396416607460951 absolute error = 8.609779555968089e-13 relative error = 1.025411191282328e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 28.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.02000000000094 y[1] (analytic) = 0.8499432105741036 y[1] (numeric) = 0.8499432105732382 absolute error = 8.654188476953095e-13 relative error = 1.018207848393486e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 28.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.03000000000094 y[1] (analytic) = 0.8602483292806902 y[1] (numeric) = 0.8602483292798289 absolute error = 8.613110225041964e-13 relative error = 1.001235333086197e-10 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 12 h = 0.01 Radius of convergence (given) for eq 1 = 28.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.04000000000094 y[1] (analytic) = 0.8705570155935014 y[1] (numeric) = 0.8705570155926314 absolute error = 8.699707620962727e-13 relative error = 9.993265765633638e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.05000000000095 y[1] (analytic) = 0.8808692682401826 y[1] (numeric) = 0.8808692682393184 absolute error = 8.641976023682219e-13 relative error = 9.810736207141523e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.06000000000095 y[1] (analytic) = 0.8911850859493384 y[1] (numeric) = 0.8911850859484696 absolute error = 8.688605390716475e-13 relative error = 9.749495955108926e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.07000000000095 y[1] (analytic) = 0.9015044674504438 y[1] (numeric) = 0.9015044674495707 absolute error = 8.730793865652231e-13 relative error = 9.684692844999316e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.08000000000095 y[1] (analytic) = 0.9118274114738831 y[1] (numeric) = 0.9118274114730129 absolute error = 8.701928067011977e-13 relative error = 9.543393801844726e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.09000000000095 y[1] (analytic) = 0.9221539167509647 y[1] (numeric) = 0.9221539167500917 absolute error = 8.729683642627606e-13 relative error = 9.466623178682578e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.10000000000095 y[1] (analytic) = 0.9324839820138777 y[1] (numeric) = 0.9324839820130058 absolute error = 8.719691635405979e-13 relative error = 9.351036375524796e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.11000000000096 y[1] (analytic) = 0.9428176059957352 y[1] (numeric) = 0.9428176059948561 absolute error = 8.790745908981989e-13 relative error = 9.323909368130482e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.12000000000096 y[1] (analytic) = 0.9531547874305311 y[1] (numeric) = 0.9531547874296452 absolute error = 8.858469513484124e-13 relative error = 9.293841493850502e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.13000000000096 y[1] (analytic) = 0.9634955250531547 y[1] (numeric) = 0.9634955250522761 absolute error = 8.786305016883489e-13 relative error = 9.119196496941447e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.14000000000096 y[1] (analytic) = 0.9738398175994334 y[1] (numeric) = 0.973839817598551 absolute error = 8.824052599720744e-13 relative error = 9.061092430449702e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.15000000000096 y[1] (analytic) = 0.984187663806054 y[1] (numeric) = 0.9841876638051708 absolute error = 8.832934383917745e-13 relative error = 8.97484769292778e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.16000000000096 y[1] (analytic) = 0.9945390624106203 y[1] (numeric) = 0.9945390624097338 absolute error = 8.865130851631875e-13 relative error = 8.913808604102554e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.17000000000096 y[1] (analytic) = 1.00489401215162 y[1] (numeric) = 1.004894012150735 absolute error = 8.852918398360998e-13 relative error = 8.809803114863473e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.18000000000097 y[1] (analytic) = 1.015252511768452 y[1] (numeric) = 1.015252511767565 absolute error = 8.8662410746565e-13 relative error = 8.733040275086381e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.19000000000097 y[1] (analytic) = 1.025614560001397 y[1] (numeric) = 1.02561456000051 absolute error = 8.875122858853501e-13 relative error = 8.653468081460749e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.20000000000097 y[1] (analytic) = 1.035980155591634 y[1] (numeric) = 1.035980155590748 absolute error = 8.8662410746565e-13 relative error = 8.55831168850248e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.21000000000097 y[1] (analytic) = 1.046349297281246 y[1] (numeric) = 1.04634929728035 absolute error = 8.957279362675763e-13 relative error = 8.560505928517057e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.22000000000097 y[1] (analytic) = 1.056721983813183 y[1] (numeric) = 1.056721983812282 absolute error = 9.015010959956271e-13 relative error = 8.531109504720992e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.23000000000097 y[1] (analytic) = 1.067098213931292 y[1] (numeric) = 1.067098213930397 absolute error = 8.950618024528012e-13 relative error = 8.387810894700197e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.24000000000098 y[1] (analytic) = 1.077477986380337 y[1] (numeric) = 1.077477986379439 absolute error = 8.979483823168266e-13 relative error = 8.333797939885345e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.25000000000098 y[1] (analytic) = 1.087861299905942 y[1] (numeric) = 1.087861299905043 absolute error = 8.986145161316017e-13 relative error = 8.260377643816331e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.26000000000098 y[1] (analytic) = 1.09824815325463 y[1] (numeric) = 1.09824815325373 absolute error = 9.001688283660769e-13 relative error = 8.196406483347591e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.27000000000098 y[1] (analytic) = 1.108638545173811 y[1] (numeric) = 1.108638545172908 absolute error = 9.028333636251773e-13 relative error = 8.143622351535975e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.28000000000098 y[1] (analytic) = 1.119032474411775 y[1] (numeric) = 1.119032474410872 absolute error = 9.021672298104022e-13 relative error = 8.062029033470465e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.29000000000098 y[1] (analytic) = 1.129429939717706 y[1] (numeric) = 1.129429939716803 absolute error = 9.034994974399524e-13 relative error = 7.999606400249813e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.30000000000098 y[1] (analytic) = 1.139830939841669 y[1] (numeric) = 1.139830939840764 absolute error = 9.054978988842777e-13 relative error = 7.944142128744618e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.31000000000099 y[1] (analytic) = 1.150235473534611 y[1] (numeric) = 1.150235473533703 absolute error = 9.081624341433781e-13 relative error = 7.89544797599264e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.32000000000099 y[1] (analytic) = 1.160643539548367 y[1] (numeric) = 1.16064353954745 absolute error = 9.170442183403793e-13 relative error = 7.901170230932592e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.33000000000099 y[1] (analytic) = 1.171055136635626 y[1] (numeric) = 1.171055136634717 absolute error = 9.092726571680032e-13 relative error = 7.764558889859712e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.34000000000099 y[1] (analytic) = 1.181470263550011 y[1] (numeric) = 1.181470263549096 absolute error = 9.154899061059041e-13 relative error = 7.748734219980237e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.35000000000099 y[1] (analytic) = 1.191888919045972 y[1] (numeric) = 1.191888919045058 absolute error = 9.143796830812789e-13 relative error = 7.671685410190565e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.36000000000099 y[1] (analytic) = 1.202311101878873 y[1] (numeric) = 1.202311101877954 absolute error = 9.192646643896296e-13 relative error = 7.64581365798817e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.370000000001 y[1] (analytic) = 1.212736810804934 y[1] (numeric) = 1.212736810804012 absolute error = 9.2192919964873e-13 relative error = 7.602055049659249e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.380000000001 y[1] (analytic) = 1.223166044581252 y[1] (numeric) = 1.223166044580337 absolute error = 9.14823772291129e-13 relative error = 7.479146239743085e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.390000000001 y[1] (analytic) = 1.233598801965829 y[1] (numeric) = 1.233598801964909 absolute error = 9.203748874142548e-13 relative error = 7.460893168407511e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.400000000001 y[1] (analytic) = 1.244035081717502 y[1] (numeric) = 1.244035081716585 absolute error = 9.172662629453043e-13 relative error = 7.37331508110636e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.410000000001 y[1] (analytic) = 1.254474882596018 y[1] (numeric) = 1.254474882595094 absolute error = 9.234835118832052e-13 relative error = 7.361514564342197e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.420000000001 y[1] (analytic) = 1.264918203361976 y[1] (numeric) = 1.26491820336104 absolute error = 9.36140054363932e-13 relative error = 7.400795180872585e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.43000000000101 y[1] (analytic) = 1.275365042776826 y[1] (numeric) = 1.275365042775897 absolute error = 9.297007608211061e-13 relative error = 7.289683577941634e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.44000000000101 y[1] (analytic) = 1.285815399602939 y[1] (numeric) = 1.285815399602012 absolute error = 9.270362255620057e-13 relative error = 7.209714752586379e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.45000000000101 y[1] (analytic) = 1.296269272603535 y[1] (numeric) = 1.296269272602601 absolute error = 9.336975637097567e-13 relative error = 7.202959936205545e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.46000000000101 y[1] (analytic) = 1.306726660542687 y[1] (numeric) = 1.306726660541752 absolute error = 9.348077867343818e-13 relative error = 7.153812767133365e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.47000000000101 y[1] (analytic) = 1.317187562185353 y[1] (numeric) = 1.317187562184418 absolute error = 9.350298313393068e-13 relative error = 7.098684030905924e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.48000000000101 y[1] (analytic) = 1.327651976297354 y[1] (numeric) = 1.327651976296423 absolute error = 9.310330284506563e-13 relative error = 7.012628648715493e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.49000000000101 y[1] (analytic) = 1.338119901645392 y[1] (numeric) = 1.338119901644454 absolute error = 9.379164112033322e-13 relative error = 7.009210535244579e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.50000000000102 y[1] (analytic) = 1.348591336997004 y[1] (numeric) = 1.348591336996068 absolute error = 9.356959651540819e-13 relative error = 6.93832104273825e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.51000000000102 y[1] (analytic) = 1.359066281120626 y[1] (numeric) = 1.359066281119683 absolute error = 9.423573033018329e-13 relative error = 6.933858314289181e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.52000000000102 y[1] (analytic) = 1.369544732785535 y[1] (numeric) = 1.369544732784584 absolute error = 9.50350909079134e-13 relative error = 6.939173919103781e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.53000000000102 y[1] (analytic) = 1.380026690761859 y[1] (numeric) = 1.380026690760918 absolute error = 9.414691248821327e-13 relative error = 6.82210808808621e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.54000000000102 y[1] (analytic) = 1.390512153820637 y[1] (numeric) = 1.390512153819692 absolute error = 9.450218385609332e-13 relative error = 6.796214157239449e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.55000000000102 y[1] (analytic) = 1.401001120733724 y[1] (numeric) = 1.401001120732778 absolute error = 9.461320615855584e-13 relative error = 6.753256993042629e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.56000000000103 y[1] (analytic) = 1.411493590273857 y[1] (numeric) = 1.411493590272906 absolute error = 9.50572953684059e-13 relative error = 6.734518387006134e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.57000000000103 y[1] (analytic) = 1.421989561214616 y[1] (numeric) = 1.421989561213665 absolute error = 9.50572953684059e-13 relative error = 6.684809647070203e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.58000000000103 y[1] (analytic) = 1.432489032330459 y[1] (numeric) = 1.432489032329505 absolute error = 9.534595335480844e-13 relative error = 6.655963934306286e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.59000000000103 y[1] (analytic) = 1.442992002396686 y[1] (numeric) = 1.442992002395731 absolute error = 9.545697565727096e-13 relative error = 6.615211692006963e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.60000000000103 y[1] (analytic) = 1.453498470189459 y[1] (numeric) = 1.453498470188506 absolute error = 9.523493105234593e-13 relative error = 6.552117735626675e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.61000000000103 y[1] (analytic) = 1.464008434485805 y[1] (numeric) = 1.464008434484849 absolute error = 9.561240688071848e-13 relative error = 6.530864483325182e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.62000000000103 y[1] (analytic) = 1.474521894063596 y[1] (numeric) = 1.474521894062633 absolute error = 9.623413177450857e-13 relative error = 6.526463402269293e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.63000000000104 y[1] (analytic) = 1.485038847701549 y[1] (numeric) = 1.485038847700587 absolute error = 9.625633623500107e-13 relative error = 6.481738601248084e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.64000000000104 y[1] (analytic) = 1.495559294179255 y[1] (numeric) = 1.49555929417829 absolute error = 9.656719868189612e-13 relative error = 6.456928792976477e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.65000000000104 y[1] (analytic) = 1.506083232277142 y[1] (numeric) = 1.506083232276175 absolute error = 9.667822098435863e-13 relative error = 6.419181816278823e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.66000000000104 y[1] (analytic) = 1.516610660776493 y[1] (numeric) = 1.516610660775528 absolute error = 9.654499422140361e-13 relative error = 6.36583908568685e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.67000000000104 y[1] (analytic) = 1.527141578459453 y[1] (numeric) = 1.527141578458482 absolute error = 9.710010573371619e-13 relative error = 6.358291012655725e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.68000000000104 y[1] (analytic) = 1.537675984108994 y[1] (numeric) = 1.537675984108023 absolute error = 9.707790127322369e-13 relative error = 6.31328721242112e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.69000000000105 y[1] (analytic) = 1.548213876508957 y[1] (numeric) = 1.548213876507983 absolute error = 9.738876372011873e-13 relative error = 6.290394705653921e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.70000000000105 y[1] (analytic) = 1.558755254444009 y[1] (numeric) = 1.558755254443043 absolute error = 9.656719868189612e-13 relative error = 6.195148238094671e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.71000000000105 y[1] (analytic) = 1.569300116699704 y[1] (numeric) = 1.569300116698731 absolute error = 9.732215033864122e-13 relative error = 6.201627674846113e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.72000000000105 y[1] (analytic) = 1.579848462062404 y[1] (numeric) = 1.579848462061421 absolute error = 9.834355552129637e-13 relative error = 6.224872693987011e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.73000000000105 y[1] (analytic) = 1.590400289319309 y[1] (numeric) = 1.590400289318332 absolute error = 9.769962616701378e-13 relative error = 6.143084028790589e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.74000000000105 y[1] (analytic) = 1.600955597258505 y[1] (numeric) = 1.600955597257526 absolute error = 9.783285292996879e-13 relative error = 6.110903581429673e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.75000000000106 y[1] (analytic) = 1.61151438466889 y[1] (numeric) = 1.611514384667912 absolute error = 9.783285292996879e-13 relative error = 6.070864390706014e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.76000000000106 y[1] (analytic) = 1.622076650340219 y[1] (numeric) = 1.622076650339237 absolute error = 9.818812429784884e-13 relative error = 6.053235787424386e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.77000000000106 y[1] (analytic) = 1.63264239306308 y[1] (numeric) = 1.632642393062092 absolute error = 9.872103134966892e-13 relative error = 6.046702680827344e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.78000000000106 y[1] (analytic) = 1.643211611628896 y[1] (numeric) = 1.64321161162791 absolute error = 9.863221350769891e-13 relative error = 6.002404852161796e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.79000000000106 y[1] (analytic) = 1.653784304829951 y[1] (numeric) = 1.65378430482896 absolute error = 9.912071163853398e-13 relative error = 5.99356949688345e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.80000000000106 y[1] (analytic) = 1.664360471459339 y[1] (numeric) = 1.664360471458354 absolute error = 9.849898674474389e-13 relative error = 5.918128220047085e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.81000000000106 y[1] (analytic) = 1.674940110311034 y[1] (numeric) = 1.674940110310041 absolute error = 9.938716516444401e-13 relative error = 5.93377426169512e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.82000000000107 y[1] (analytic) = 1.685523220179803 y[1] (numeric) = 1.685523220178804 absolute error = 9.987566329527908e-13 relative error = 5.925499103158297e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.83000000000107 y[1] (analytic) = 1.696109799861258 y[1] (numeric) = 1.696109799860268 absolute error = 9.900968933607146e-13 relative error = 5.837457536308703e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.84000000000107 y[1] (analytic) = 1.706699848151885 y[1] (numeric) = 1.706699848150889 absolute error = 9.963141422986155e-13 relative error = 5.837664680040154e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.85000000000107 y[1] (analytic) = 1.717293363848956 y[1] (numeric) = 1.717293363847959 absolute error = 9.967582315084655e-13 relative error = 5.804239697720832e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.86000000000107 y[1] (analytic) = 1.727890345750602 y[1] (numeric) = 1.727890345749605 absolute error = 9.967582315084655e-13 relative error = 5.768642865328761e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.87000000000107 y[1] (analytic) = 1.738490792655789 y[1] (numeric) = 1.738490792654785 absolute error = 1.003419569656216e-12 relative error = 5.771785354832696e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.88000000000108 y[1] (analytic) = 1.749094703364293 y[1] (numeric) = 1.749094703363291 absolute error = 1.001865257421741e-12 relative error = 5.72790744546139e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.89000000000108 y[1] (analytic) = 1.759702076676746 y[1] (numeric) = 1.759702076675743 absolute error = 1.002309346631591e-12 relative error = 5.695903641396417e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.90000000000108 y[1] (analytic) = 1.770312911394598 y[1] (numeric) = 1.770312911393596 absolute error = 1.001865257421741e-12 relative error = 5.65925521399775e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.91000000000108 y[1] (analytic) = 1.780927206320136 y[1] (numeric) = 1.78092720631913 absolute error = 1.006528194125167e-12 relative error = 5.651708787159913e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.92000000000108 y[1] (analytic) = 1.79154496025647 y[1] (numeric) = 1.791544960255456 absolute error = 1.014299755297543e-12 relative error = 5.661592523764183e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.93000000000108 y[1] (analytic) = 1.802166172007524 y[1] (numeric) = 1.802166172006511 absolute error = 1.012967487667993e-12 relative error = 5.62083288101894e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.94000000000108 y[1] (analytic) = 1.812790840378074 y[1] (numeric) = 1.812790840377062 absolute error = 1.012079309248293e-12 relative error = 5.582989977140519e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.95000000000109 y[1] (analytic) = 1.823418964173712 y[1] (numeric) = 1.823418964172699 absolute error = 1.012523398458143e-12 relative error = 5.552883996229418e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.96000000000109 y[1] (analytic) = 1.834050542200856 y[1] (numeric) = 1.834050542199838 absolute error = 1.017852468976344e-12 relative error = 5.549751468435123e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.97000000000109 y[1] (analytic) = 1.844685573266741 y[1] (numeric) = 1.84468557326572 absolute error = 1.020739048840369e-12 relative error = 5.533403977528535e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.98000000000109 y[1] (analytic) = 1.855324056179427 y[1] (numeric) = 1.855324056178409 absolute error = 1.018296558186194e-12 relative error = 5.488510510035207e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 26.99000000000109 y[1] (analytic) = 1.86596598974781 y[1] (numeric) = 1.86596598974679 absolute error = 1.020072915025594e-12 relative error = 5.466728336047857e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 28.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 28.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.00000000000109 y[1] (analytic) = 1.876611372781589 y[1] (numeric) = 1.876611372780573 absolute error = 1.016520201346793e-12 relative error = 5.416785894460749e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.0100000000011 y[1] (analytic) = 1.887260204091312 y[1] (numeric) = 1.887260204090286 absolute error = 1.02651220856842e-12 relative error = 5.439166291659661e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.0200000000011 y[1] (analytic) = 1.897912482488312 y[1] (numeric) = 1.897912482487278 absolute error = 1.033839680530946e-12 relative error = 5.447246330218034e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.0300000000011 y[1] (analytic) = 1.908568206784743 y[1] (numeric) = 1.908568206783719 absolute error = 1.023847673309319e-12 relative error = 5.364480397764446e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.0400000000011 y[1] (analytic) = 1.919227375793625 y[1] (numeric) = 1.919227375792594 absolute error = 1.03050901145707e-12 relative error = 5.369395124592477e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.0500000000011 y[1] (analytic) = 1.929889988328735 y[1] (numeric) = 1.929889988327709 absolute error = 1.02695629777827e-12 relative error = 5.321320406805173e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.0600000000011 y[1] (analytic) = 1.940556043204715 y[1] (numeric) = 1.940556043203682 absolute error = 1.032951502111246e-12 relative error = 5.322966609123983e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.07000000000111 y[1] (analytic) = 1.95122553923699 y[1] (numeric) = 1.951225539235953 absolute error = 1.037614438814671e-12 relative error = 5.317757573122077e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.08000000000111 y[1] (analytic) = 1.961898475241806 y[1] (numeric) = 1.961898475240771 absolute error = 1.035616037370346e-12 relative error = 5.278642347905923e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.09000000000111 y[1] (analytic) = 1.972574850036239 y[1] (numeric) = 1.972574850035203 absolute error = 1.035616037370346e-12 relative error = 5.250072195492711e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.10000000000111 y[1] (analytic) = 1.983254662438164 y[1] (numeric) = 1.983254662437128 absolute error = 1.035393992765421e-12 relative error = 5.22068099662266e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.11000000000111 y[1] (analytic) = 1.993937911266279 y[1] (numeric) = 1.993937911265238 absolute error = 1.041611241703322e-12 relative error = 5.223890051028878e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.12000000000111 y[1] (analytic) = 2.004624595340079 y[1] (numeric) = 2.004624595339035 absolute error = 1.044497821567347e-12 relative error = 5.210441017212757e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.13000000000111 y[1] (analytic) = 2.015314713479878 y[1] (numeric) = 2.015314713478833 absolute error = 1.044497821567347e-12 relative error = 5.182802539876242e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.14000000000112 y[1] (analytic) = 2.026008264506803 y[1] (numeric) = 2.026008264505758 absolute error = 1.045385999987047e-12 relative error = 5.15983087680804e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.15000000000112 y[1] (analytic) = 2.036705247242786 y[1] (numeric) = 2.03670524724174 absolute error = 1.045385999987047e-12 relative error = 5.132730921188775e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.16000000000112 y[1] (analytic) = 2.04740566051057 y[1] (numeric) = 2.047405660509523 absolute error = 1.047606446036298e-12 relative error = 5.116750755563759e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.17000000000112 y[1] (analytic) = 2.058109503133707 y[1] (numeric) = 2.058109503132653 absolute error = 1.053823694974199e-12 relative error = 5.120348034784502e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.18000000000112 y[1] (analytic) = 2.06881677393654 y[1] (numeric) = 2.068816773935488 absolute error = 1.052047338134798e-12 relative error = 5.085261060277296e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.19000000000112 y[1] (analytic) = 2.079527471744239 y[1] (numeric) = 2.079527471743187 absolute error = 1.052047338134798e-12 relative error = 5.059069199275236e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.20000000000113 y[1] (analytic) = 2.090241595382768 y[1] (numeric) = 2.090241595381717 absolute error = 1.050715070505248e-12 relative error = 5.026763761788215e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.21000000000113 y[1] (analytic) = 2.100959143678907 y[1] (numeric) = 2.100959143677849 absolute error = 1.057820497862849e-12 relative error = 5.034940831883772e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.22000000000113 y[1] (analytic) = 2.111680115460217 y[1] (numeric) = 2.111680115459155 absolute error = 1.06226138996135e-12 relative error = 5.030408640893234e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.23000000000113 y[1] (analytic) = 2.122404509555071 y[1] (numeric) = 2.122404509554012 absolute error = 1.059596854702249e-12 relative error = 4.992435937315159e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.24000000000113 y[1] (analytic) = 2.133132324792662 y[1] (numeric) = 2.133132324791597 absolute error = 1.0644818360106e-12 relative error = 4.990228799397462e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.25000000000113 y[1] (analytic) = 2.143863560002952 y[1] (numeric) = 2.14386356000189 absolute error = 1.06226138996135e-12 relative error = 4.954892698301599e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.26000000000113 y[1] (analytic) = 2.15459821401673 y[1] (numeric) = 2.154598214015667 absolute error = 1.06226138996135e-12 relative error = 4.930206397883432e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.27000000000114 y[1] (analytic) = 2.165336285665578 y[1] (numeric) = 2.165336285664508 absolute error = 1.069810906528801e-12 relative error = 4.940622450244322e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.28000000000114 y[1] (analytic) = 2.176077773781856 y[1] (numeric) = 2.176077773780789 absolute error = 1.0671463712697e-12 relative error = 4.9039900325579e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.29000000000114 y[1] (analytic) = 2.186822677198752 y[1] (numeric) = 2.186822677197681 absolute error = 1.070254995738651e-12 relative error = 4.894109645458829e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.30000000000114 y[1] (analytic) = 2.197570994750222 y[1] (numeric) = 2.197570994749158 absolute error = 1.06492592522045e-12 relative error = 4.845922738170698e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.31000000000114 y[1] (analytic) = 2.20832272527106 y[1] (numeric) = 2.208322725269983 absolute error = 1.076916333886402e-12 relative error = 4.876625692262511e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.32000000000114 y[1] (analytic) = 2.219077867596802 y[1] (numeric) = 2.21907786759572 absolute error = 1.082245404404603e-12 relative error = 4.87700508489431e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.33000000000115 y[1] (analytic) = 2.229836420563799 y[1] (numeric) = 2.229836420562723 absolute error = 1.076472244676552e-12 relative error = 4.827583919381731e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.34000000000115 y[1] (analytic) = 2.240598383009225 y[1] (numeric) = 2.240598383008142 absolute error = 1.082689493614453e-12 relative error = 4.832144403140878e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.35000000000115 y[1] (analytic) = 2.251363753770995 y[1] (numeric) = 2.251363753769919 absolute error = 1.076472244676552e-12 relative error = 4.781423005826932e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.36000000000115 y[1] (analytic) = 2.262132531687868 y[1] (numeric) = 2.262132531686787 absolute error = 1.080913136775052e-12 relative error = 4.778292702278322e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.37000000000115 y[1] (analytic) = 2.272904715599356 y[1] (numeric) = 2.272904715598272 absolute error = 1.084465850453853e-12 relative error = 4.771277225177842e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.38000000000115 y[1] (analytic) = 2.283680304345776 y[1] (numeric) = 2.283680304344688 absolute error = 1.088018564132653e-12 relative error = 4.764320829242983e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.39000000000116 y[1] (analytic) = 2.294459296768224 y[1] (numeric) = 2.294459296767139 absolute error = 1.084909939663703e-12 relative error = 4.72839043687466e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.40000000000116 y[1] (analytic) = 2.305241691708602 y[1] (numeric) = 2.30524169170752 absolute error = 1.082245404404603e-12 relative error = 4.694715561917773e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.41000000000116 y[1] (analytic) = 2.316027488009599 y[1] (numeric) = 2.31602748800851 absolute error = 1.088906742552354e-12 relative error = 4.701614070600532e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.42000000000116 y[1] (analytic) = 2.326816684514675 y[1] (numeric) = 2.326816684513578 absolute error = 1.096900348329655e-12 relative error = 4.714167453025827e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.43000000000116 y[1] (analytic) = 2.337609280068072 y[1] (numeric) = 2.337609280066978 absolute error = 1.094235813070554e-12 relative error = 4.68100388889066e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.44000000000116 y[1] (analytic) = 2.348405273514846 y[1] (numeric) = 2.34840527351375 absolute error = 1.096456259119805e-12 relative error = 4.668939690629906e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.45000000000116 y[1] (analytic) = 2.359204663700808 y[1] (numeric) = 2.359204663699717 absolute error = 1.091571277811454e-12 relative error = 4.626861308841011e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.46000000000117 y[1] (analytic) = 2.370007449472588 y[1] (numeric) = 2.370007449471488 absolute error = 1.100453062008455e-12 relative error = 4.643247270186199e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.47000000000117 y[1] (analytic) = 2.380813629677558 y[1] (numeric) = 2.380813629676454 absolute error = 1.104005775687256e-12 relative error = 4.637094487050526e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.48000000000117 y[1] (analytic) = 2.391623203163888 y[1] (numeric) = 2.391623203162788 absolute error = 1.100453062008455e-12 relative error = 4.601281090401954e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.49000000000117 y[1] (analytic) = 2.40243616878055 y[1] (numeric) = 2.402436168779445 absolute error = 1.105338043316806e-12 relative error = 4.600904938414506e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.50000000000117 y[1] (analytic) = 2.413252525377256 y[1] (numeric) = 2.41325252537616 absolute error = 1.096456259119805e-12 relative error = 4.543479174225246e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.51000000000117 y[1] (analytic) = 2.424072271804551 y[1] (numeric) = 2.424072271803448 absolute error = 1.102673508057705e-12 relative error = 4.548847494702964e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.52000000000118 y[1] (analytic) = 2.434895406913718 y[1] (numeric) = 2.434895406912605 absolute error = 1.113331649094107e-12 relative error = 4.572400300780388e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.53000000000118 y[1] (analytic) = 2.445721929556811 y[1] (numeric) = 2.445721929555701 absolute error = 1.110223024625157e-12 relative error = 4.539449114014118e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.54000000000118 y[1] (analytic) = 2.456551838586702 y[1] (numeric) = 2.456551838585587 absolute error = 1.114663916723657e-12 relative error = 4.537514328885253e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.55000000000118 y[1] (analytic) = 2.467385132857 y[1] (numeric) = 2.46738513285589 absolute error = 1.110223024625157e-12 relative error = 4.499593556923246e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.56000000000118 y[1] (analytic) = 2.478221811222127 y[1] (numeric) = 2.478221811221012 absolute error = 1.115108005933507e-12 relative error = 4.499629536323043e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.57000000000118 y[1] (analytic) = 2.489061872537253 y[1] (numeric) = 2.489061872536131 absolute error = 1.121325254871408e-12 relative error = 4.505011575820624e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.58000000000118 y[1] (analytic) = 2.499905315658317 y[1] (numeric) = 2.4999053156572 absolute error = 1.117772541192608e-12 relative error = 4.471259508075636e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.59000000000119 y[1] (analytic) = 2.510752139442065 y[1] (numeric) = 2.510752139440942 absolute error = 1.123101611710808e-12 relative error = 4.473167996425095e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.60000000000119 y[1] (analytic) = 2.521602342745972 y[1] (numeric) = 2.521602342744857 absolute error = 1.115108005933507e-12 relative error = 4.422219899745089e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.61000000000119 y[1] (analytic) = 2.532455924428344 y[1] (numeric) = 2.532455924427214 absolute error = 1.130207039068409e-12 relative error = 4.462889277425561e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.62000000000119 y[1] (analytic) = 2.543312883348186 y[1] (numeric) = 2.543312883347055 absolute error = 1.130651128278259e-12 relative error = 4.445584087121028e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.63000000000119 y[1] (analytic) = 2.554173218365317 y[1] (numeric) = 2.554173218364193 absolute error = 1.124877968550209e-12 relative error = 4.404078628896343e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.64000000000119 y[1] (analytic) = 2.565036928340341 y[1] (numeric) = 2.565036928339207 absolute error = 1.13375975274721e-12 relative error = 4.420052359561108e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.6500000000012 y[1] (analytic) = 2.575904012134583 y[1] (numeric) = 2.575904012133448 absolute error = 1.13420384195706e-12 relative error = 4.403129296022081e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.6600000000012 y[1] (analytic) = 2.586774468610166 y[1] (numeric) = 2.586774468609036 absolute error = 1.130207039068409e-12 relative error = 4.369175020022724e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.6700000000012 y[1] (analytic) = 2.597648296629995 y[1] (numeric) = 2.597648296628854 absolute error = 1.140865180104811e-12 relative error = 4.391915493659741e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.6800000000012 y[1] (analytic) = 2.608525495057691 y[1] (numeric) = 2.608525495056555 absolute error = 1.13598019879646e-12 relative error = 4.354874817013573e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.6900000000012 y[1] (analytic) = 2.619406062757694 y[1] (numeric) = 2.619406062756557 absolute error = 1.13642428800631e-12 relative error = 4.338480788312332e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.7000000000012 y[1] (analytic) = 2.630289998595174 y[1] (numeric) = 2.630289998594043 absolute error = 1.130651128278259e-12 relative error = 4.298579734105878e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.71000000000121 y[1] (analytic) = 2.641177301436105 y[1] (numeric) = 2.64117730143496 absolute error = 1.145306072203311e-12 relative error = 4.336346793456715e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.72000000000121 y[1] (analytic) = 2.652067970147165 y[1] (numeric) = 2.652067970146017 absolute error = 1.147526518252562e-12 relative error = 4.326912172574841e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.73000000000121 y[1] (analytic) = 2.662962003595833 y[1] (numeric) = 2.662962003594689 absolute error = 1.144417893783611e-12 relative error = 4.297537449795711e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.74000000000121 y[1] (analytic) = 2.673859400650358 y[1] (numeric) = 2.673859400649209 absolute error = 1.148414696672262e-12 relative error = 4.294970395200792e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.75000000000121 y[1] (analytic) = 2.684760160179717 y[1] (numeric) = 2.684760160178574 absolute error = 1.143085626154061e-12 relative error = 4.257682466792651e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.76000000000121 y[1] (analytic) = 2.695664281053695 y[1] (numeric) = 2.695664281052541 absolute error = 1.154187856400313e-12 relative error = 4.281645398176801e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.77000000000121 y[1] (analytic) = 2.706571762142776 y[1] (numeric) = 2.706571762141624 absolute error = 1.151967410351062e-12 relative error = 4.256186466081569e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.78000000000122 y[1] (analytic) = 2.717482602318249 y[1] (numeric) = 2.717482602317099 absolute error = 1.150191053511662e-12 relative error = 4.232560872810921e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.79000000000122 y[1] (analytic) = 2.728396800452156 y[1] (numeric) = 2.728396800450998 absolute error = 1.157740570079113e-12 relative error = 4.243299837792105e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.80000000000122 y[1] (analytic) = 2.739314355417264 y[1] (numeric) = 2.739314355416112 absolute error = 1.151523321141212e-12 relative error = 4.203691770037132e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.81000000000122 y[1] (analytic) = 2.750235266087149 y[1] (numeric) = 2.750235266085987 absolute error = 1.161737372967764e-12 relative error = 4.224138157535178e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.82000000000122 y[1] (analytic) = 2.761159531336091 y[1] (numeric) = 2.761159531334925 absolute error = 1.165734175856414e-12 relative error = 4.221900845013219e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.83000000000122 y[1] (analytic) = 2.772087150039145 y[1] (numeric) = 2.772087150037984 absolute error = 1.160849194548064e-12 relative error = 4.187636000302773e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.84000000000123 y[1] (analytic) = 2.783018121072139 y[1] (numeric) = 2.783018121070974 absolute error = 1.164845997436714e-12 relative error = 4.185549453008826e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.85000000000123 y[1] (analytic) = 2.793952443311628 y[1] (numeric) = 2.793952443310462 absolute error = 1.166178265066264e-12 relative error = 4.173937419221107e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.86000000000123 y[1] (analytic) = 2.804890115634933 y[1] (numeric) = 2.804890115633765 absolute error = 1.168398711115515e-12 relative error = 4.165577484132666e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.87000000000123 y[1] (analytic) = 2.815831136920121 y[1] (numeric) = 2.815831136918951 absolute error = 1.169286889535215e-12 relative error = 4.152546202803017e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.88000000000123 y[1] (analytic) = 2.826775506046012 y[1] (numeric) = 2.826775506044844 absolute error = 1.167954621905665e-12 relative error = 4.131755844804797e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.89000000000123 y[1] (analytic) = 2.837723221892187 y[1] (numeric) = 2.837723221891013 absolute error = 1.174171870843566e-12 relative error = 4.13772513748057e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.90000000000123 y[1] (analytic) = 2.848674283338944 y[1] (numeric) = 2.848674283337779 absolute error = 1.164845997436714e-12 relative error = 4.089081030602744e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.91000000000124 y[1] (analytic) = 2.859628689267392 y[1] (numeric) = 2.859628689266214 absolute error = 1.178612762942066e-12 relative error = 4.121558744201908e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.92000000000124 y[1] (analytic) = 2.870586438559322 y[1] (numeric) = 2.870586438558134 absolute error = 1.187938636348917e-12 relative error = 4.138313413565471e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.93000000000124 y[1] (analytic) = 2.881547530097283 y[1] (numeric) = 2.881547530096106 absolute error = 1.177280495312516e-12 relative error = 4.085584162732066e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.94000000000124 y[1] (analytic) = 2.892511962764623 y[1] (numeric) = 2.892511962763441 absolute error = 1.181277298201167e-12 relative error = 4.083914996403742e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.95000000000124 y[1] (analytic) = 2.903479735445377 y[1] (numeric) = 2.903479735444199 absolute error = 1.177724584522366e-12 relative error = 4.056252124458895e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.96000000000124 y[1] (analytic) = 2.914450847024369 y[1] (numeric) = 2.914450847023182 absolute error = 1.187050457929217e-12 relative error = 4.072981567492161e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.97000000000125 y[1] (analytic) = 2.925425296387129 y[1] (numeric) = 2.925425296385939 absolute error = 1.189714993188318e-12 relative error = 4.066810369957503e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.98000000000125 y[1] (analytic) = 2.936403082419943 y[1] (numeric) = 2.936403082418761 absolute error = 1.181721387411017e-12 relative error = 4.024384099328552e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 27.99000000000125 y[1] (analytic) = 2.947384204009868 y[1] (numeric) = 2.947384204008684 absolute error = 1.184385922670117e-12 relative error = 4.018430719207829e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 29.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 29.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.00000000000125 y[1] (analytic) = 2.95836866004467 y[1] (numeric) = 2.958368660043483 absolute error = 1.187050457929217e-12 relative error = 4.012517013046283e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.01000000000125 y[1] (analytic) = 2.969356449412867 y[1] (numeric) = 2.969356449411677 absolute error = 1.190603171608018e-12 relative error = 4.009633709834454e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.02000000000125 y[1] (analytic) = 2.980347571003719 y[1] (numeric) = 2.980347571002524 absolute error = 1.194599974496668e-12 relative error = 4.008257245292877e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.03000000000126 y[1] (analytic) = 2.991342023707222 y[1] (numeric) = 2.991342023706026 absolute error = 1.196820420545919e-12 relative error = 4.000948106437787e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.04000000000126 y[1] (analytic) = 3.00233980641412 y[1] (numeric) = 3.002339806412918 absolute error = 1.20214949106412e-12 relative error = 4.004042075769967e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.05000000000126 y[1] (analytic) = 3.013340918015874 y[1] (numeric) = 3.013340918014679 absolute error = 1.195044063706519e-12 relative error = 3.965844211525166e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.06000000000126 y[1] (analytic) = 3.024345357404727 y[1] (numeric) = 3.024345357403524 absolute error = 1.20303766948382e-12 relative error = 3.977844879845929e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.07000000000126 y[1] (analytic) = 3.035353123473609 y[1] (numeric) = 3.035353123472402 absolute error = 1.20659038316262e-12 relative error = 3.975123598739041e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.08000000000126 y[1] (analytic) = 3.046364215116206 y[1] (numeric) = 3.046364215115004 absolute error = 1.20214949106412e-12 relative error = 3.946177824368458e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.09000000000126 y[1] (analytic) = 3.057378631226957 y[1] (numeric) = 3.057378631225752 absolute error = 1.20481402632322e-12 relative error = 3.940676545644972e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.10000000000127 y[1] (analytic) = 3.068396370701002 y[1] (numeric) = 3.068396370699805 absolute error = 1.197264509755769e-12 relative error = 3.901922584669995e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.11000000000127 y[1] (analytic) = 3.079417432434266 y[1] (numeric) = 3.079417432433055 absolute error = 1.210587186051271e-12 relative error = 3.931221448903428e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.12000000000127 y[1] (analytic) = 3.090441815323345 y[1] (numeric) = 3.090441815322128 absolute error = 1.216804434989172e-12 relative error = 3.937315463943981e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.13000000000127 y[1] (analytic) = 3.101469518265592 y[1] (numeric) = 3.101469518264384 absolute error = 1.20836674000202e-12 relative error = 3.896110320883517e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.14000000000127 y[1] (analytic) = 3.112500540159125 y[1] (numeric) = 3.112500540157911 absolute error = 1.214139899730071e-12 relative error = 3.900850406496632e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.15000000000127 y[1] (analytic) = 3.123534879902753 y[1] (numeric) = 3.123534879901533 absolute error = 1.219913059458122e-12 relative error = 3.905552863543187e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.16000000000128 y[1] (analytic) = 3.134572536396014 y[1] (numeric) = 3.1345725363948 absolute error = 1.213695810520221e-12 relative error = 3.871965942493939e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.17000000000128 y[1] (analytic) = 3.145613508539217 y[1] (numeric) = 3.145613508537997 absolute error = 1.220357148667972e-12 relative error = 3.879552098041093e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.18000000000128 y[1] (analytic) = 3.15665779523335 y[1] (numeric) = 3.156657795232132 absolute error = 1.218580791828572e-12 relative error = 3.860351266674094e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.19000000000128 y[1] (analytic) = 3.167705395380164 y[1] (numeric) = 3.167705395378945 absolute error = 1.219024881038422e-12 relative error = 3.848289941407647e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.20000000000128 y[1] (analytic) = 3.178756307882118 y[1] (numeric) = 3.178756307880903 absolute error = 1.214583988939921e-12 relative error = 3.820940869006569e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.21000000000128 y[1] (analytic) = 3.189810531642426 y[1] (numeric) = 3.1898105316412 absolute error = 1.225242129976323e-12 relative error = 3.841112560831155e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.22000000000128 y[1] (analytic) = 3.20086806556499 y[1] (numeric) = 3.200868065563756 absolute error = 1.233679824963474e-12 relative error = 3.85420392122821e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.23000000000129 y[1] (analytic) = 3.211928908554444 y[1] (numeric) = 3.211928908553215 absolute error = 1.229683022074823e-12 relative error = 3.828487669200164e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.24000000000129 y[1] (analytic) = 3.222993059516178 y[1] (numeric) = 3.222993059514947 absolute error = 1.230571200494524e-12 relative error = 3.818100683962539e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.25000000000129 y[1] (analytic) = 3.23406051735628 y[1] (numeric) = 3.234060517355046 absolute error = 1.233679824963474e-12 relative error = 3.814646690569538e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.26000000000129 y[1] (analytic) = 3.245131280981568 y[1] (numeric) = 3.24513128098033 absolute error = 1.237676627852125e-12 relative error = 3.813949331127706e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.27000000000129 y[1] (analytic) = 3.256205349299581 y[1] (numeric) = 3.256205349298337 absolute error = 1.243449787580175e-12 relative error = 3.818708140896719e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.28000000000129 y[1] (analytic) = 3.267282721218564 y[1] (numeric) = 3.26728272121733 absolute error = 1.234123914173324e-12 relative error = 3.777218011035928e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.2900000000013 y[1] (analytic) = 3.278363395647528 y[1] (numeric) = 3.27836339564629 absolute error = 1.238120717061975e-12 relative error = 3.776642695272122e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.3000000000013 y[1] (analytic) = 3.289447371496159 y[1] (numeric) = 3.28944737149492 absolute error = 1.239008895481675e-12 relative error = 3.766617171680509e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.3100000000013 y[1] (analytic) = 3.30053464767489 y[1] (numeric) = 3.300534647673643 absolute error = 1.247002501258976e-12 relative error = 3.77818333807659e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.3200000000013 y[1] (analytic) = 3.31162522309485 y[1] (numeric) = 3.311625223093601 absolute error = 1.249222947308226e-12 relative error = 3.772235271661495e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.3300000000013 y[1] (analytic) = 3.3227190966679 y[1] (numeric) = 3.322719096666653 absolute error = 1.246558412049126e-12 relative error = 3.751621415422097e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.3400000000013 y[1] (analytic) = 3.333816267306624 y[1] (numeric) = 3.333816267305376 absolute error = 1.247446590468826e-12 relative error = 3.741797659043258e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.35000000000131 y[1] (analytic) = 3.344916733924318 y[1] (numeric) = 3.344916733923065 absolute error = 1.253663839406727e-12 relative error = 3.747967256380415e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.36000000000131 y[1] (analytic) = 3.356020495434983 y[1] (numeric) = 3.356020495433729 absolute error = 1.254107928616577e-12 relative error = 3.736889957383972e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.37000000000131 y[1] (analytic) = 3.367127550753349 y[1] (numeric) = 3.367127550752094 absolute error = 1.254552017826427e-12 relative error = 3.725882072824173e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.38000000000131 y[1] (analytic) = 3.378237898794858 y[1] (numeric) = 3.378237898793601 absolute error = 1.256772463875677e-12 relative error = 3.720201186316731e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.39000000000131 y[1] (analytic) = 3.389351538475662 y[1] (numeric) = 3.389351538474403 absolute error = 1.258548820715077e-12 relative error = 3.713243688145436e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.40000000000131 y[1] (analytic) = 3.400468468712624 y[1] (numeric) = 3.400468468711369 absolute error = 1.254996107036277e-12 relative error = 3.690656503900485e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.41000000000131 y[1] (analytic) = 3.41158868842334 y[1] (numeric) = 3.411588688422079 absolute error = 1.260769266764328e-12 relative error = 3.695548853947544e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.42000000000132 y[1] (analytic) = 3.422712196526092 y[1] (numeric) = 3.422712196524824 absolute error = 1.267874694121929e-12 relative error = 3.704298291304679e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.43000000000132 y[1] (analytic) = 3.433838991939869 y[1] (numeric) = 3.433838991938608 absolute error = 1.260325177554478e-12 relative error = 3.670309471448124e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.44000000000132 y[1] (analytic) = 3.44496907358441 y[1] (numeric) = 3.444969073583145 absolute error = 1.265210158862828e-12 relative error = 3.6726313991156e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.45000000000132 y[1] (analytic) = 3.456102440380125 y[1] (numeric) = 3.456102440378857 absolute error = 1.267430604912079e-12 relative error = 3.667225224876952e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.46000000000132 y[1] (analytic) = 3.467239091248146 y[1] (numeric) = 3.467239091246879 absolute error = 1.267430604912079e-12 relative error = 3.655446225532216e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.47000000000132 y[1] (analytic) = 3.478379025110325 y[1] (numeric) = 3.478379025109049 absolute error = 1.27542421068938e-12 relative error = 3.666720048281474e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.48000000000133 y[1] (analytic) = 3.489522240889194 y[1] (numeric) = 3.489522240887919 absolute error = 1.27542421068938e-12 relative error = 3.655010980426875e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.49000000000133 y[1] (analytic) = 3.500668737508018 y[1] (numeric) = 3.500668737506742 absolute error = 1.27675647831893e-12 relative error = 3.647178793694717e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.50000000000133 y[1] (analytic) = 3.511818513890752 y[1] (numeric) = 3.51181851388948 absolute error = 1.271871497010579e-12 relative error = 3.621689139059381e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.51000000000133 y[1] (analytic) = 3.522971568962074 y[1] (numeric) = 3.522971568960802 absolute error = 1.271871497010579e-12 relative error = 3.610223563016984e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.52000000000133 y[1] (analytic) = 3.534127901647366 y[1] (numeric) = 3.53412790164608 absolute error = 1.286526440935631e-12 relative error = 3.640293947301516e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.53000000000133 y[1] (analytic) = 3.545287510872672 y[1] (numeric) = 3.54528751087139 absolute error = 1.282085548837131e-12 relative error = 3.616309100193529e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.54000000000133 y[1] (analytic) = 3.556450395564802 y[1] (numeric) = 3.556450395563513 absolute error = 1.289190976194732e-12 relative error = 3.624937318969676e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.55000000000134 y[1] (analytic) = 3.567616554651213 y[1] (numeric) = 3.567616554649931 absolute error = 1.281641459627281e-12 relative error = 3.592430520472736e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.56000000000134 y[1] (analytic) = 3.578785987060115 y[1] (numeric) = 3.578785987058831 absolute error = 1.284750084096231e-12 relative error = 3.589904757483477e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.57000000000134 y[1] (analytic) = 3.589958691720387 y[1] (numeric) = 3.589958691719097 absolute error = 1.290079154614432e-12 relative error = 3.593576599056068e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.58000000000134 y[1] (analytic) = 3.60113466756161 y[1] (numeric) = 3.601134667560318 absolute error = 1.291855511453832e-12 relative error = 3.587356849191562e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.59000000000134 y[1] (analytic) = 3.612313913514075 y[1] (numeric) = 3.612313913512781 absolute error = 1.294520046712933e-12 relative error = 3.583631095486985e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.60000000000134 y[1] (analytic) = 3.623496428508759 y[1] (numeric) = 3.623496428507473 absolute error = 1.285638262515931e-12 relative error = 3.54805996882142e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.61000000000135 y[1] (analytic) = 3.634682211477372 y[1] (numeric) = 3.634682211476079 absolute error = 1.293187779083382e-12 relative error = 3.557911541756896e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.62000000000135 y[1] (analytic) = 3.645871261352283 y[1] (numeric) = 3.645871261350983 absolute error = 1.300293206440983e-12 relative error = 3.56648140658344e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.63000000000135 y[1] (analytic) = 3.657063577066562 y[1] (numeric) = 3.657063577065266 absolute error = 1.296296403552333e-12 relative error = 3.544637319628252e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.64000000000135 y[1] (analytic) = 3.668259157554004 y[1] (numeric) = 3.668259157552705 absolute error = 1.298960938811433e-12 relative error = 3.541082794372632e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.65000000000135 y[1] (analytic) = 3.679458001749072 y[1] (numeric) = 3.679458001747774 absolute error = 1.298072760391733e-12 relative error = 3.527891226845582e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.66000000000135 y[1] (analytic) = 3.690660108586947 y[1] (numeric) = 3.690660108585642 absolute error = 1.305178187749334e-12 relative error = 3.536435622214615e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.67000000000136 y[1] (analytic) = 3.701865477003476 y[1] (numeric) = 3.701865477002171 absolute error = 1.305622276959184e-12 relative error = 3.526930638268458e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.68000000000136 y[1] (analytic) = 3.713074105935227 y[1] (numeric) = 3.713074105933919 absolute error = 1.308286812218284e-12 relative error = 3.523460008856356e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.69000000000136 y[1] (analytic) = 3.724285994319448 y[1] (numeric) = 3.724285994318137 absolute error = 1.310951347477385e-12 relative error = 3.520007189235583e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.70000000000136 y[1] (analytic) = 3.735501141094076 y[1] (numeric) = 3.735501141092768 absolute error = 1.307842723008434e-12 relative error = 3.501117182433481e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.71000000000136 y[1] (analytic) = 3.74671954519776 y[1] (numeric) = 3.746719545196447 absolute error = 1.312283615106935e-12 relative error = 3.502486906950144e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.72000000000136 y[1] (analytic) = 3.757941205569821 y[1] (numeric) = 3.7579412055685 absolute error = 1.321165399303936e-12 relative error = 3.515662771268946e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.73000000000136 y[1] (analytic) = 3.76916612115026 y[1] (numeric) = 3.769166121148944 absolute error = 1.315836328785736e-12 relative error = 3.491054218603062e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.74000000000137 y[1] (analytic) = 3.780394290879805 y[1] (numeric) = 3.780394290878485 absolute error = 1.319833131674386e-12 relative error = 3.491257869208197e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.75000000000137 y[1] (analytic) = 3.79162571369984 y[1] (numeric) = 3.79162571369852 absolute error = 1.320721310094086e-12 relative error = 3.483258659529809e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.76000000000137 y[1] (analytic) = 3.802860388552453 y[1] (numeric) = 3.802860388551132 absolute error = 1.321609488513786e-12 relative error = 3.475303727931103e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.77000000000137 y[1] (analytic) = 3.81409831438042 y[1] (numeric) = 3.814098314379093 absolute error = 1.326494469822137e-12 relative error = 3.477871728740739e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.78000000000137 y[1] (analytic) = 3.825339490127192 y[1] (numeric) = 3.825339490125865 absolute error = 1.326938559031987e-12 relative error = 3.468812539270512e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.79000000000137 y[1] (analytic) = 3.836583914736924 y[1] (numeric) = 3.836583914735591 absolute error = 1.332267629550188e-12 relative error = 3.472536139331497e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.80000000000138 y[1] (analytic) = 3.847831587154424 y[1] (numeric) = 3.847831587153105 absolute error = 1.319389042464536e-12 relative error = 3.428915773936614e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.81000000000138 y[1] (analytic) = 3.859082506325255 y[1] (numeric) = 3.859082506323922 absolute error = 1.332711718760038e-12 relative error = 3.453441890852678e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.82000000000138 y[1] (analytic) = 3.870336671195581 y[1] (numeric) = 3.870336671194244 absolute error = 1.336708521648688e-12 relative error = 3.453726730278912e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.83000000000138 y[1] (analytic) = 3.881594080712286 y[1] (numeric) = 3.881594080710957 absolute error = 1.329603094291087e-12 relative error = 3.4254047863941e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.84000000000138 y[1] (analytic) = 3.892854733822965 y[1] (numeric) = 3.892854733821629 absolute error = 1.336264432438838e-12 relative error = 3.432608005710412e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.85000000000138 y[1] (analytic) = 3.904118629475843 y[1] (numeric) = 3.90411862947451 absolute error = 1.332267629550188e-12 relative error = 3.412467078975659e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.86000000000138 y[1] (analytic) = 3.915385766619877 y[1] (numeric) = 3.915385766618535 absolute error = 1.342925770586589e-12 relative error = 3.429868346653175e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.87000000000139 y[1] (analytic) = 3.92665614420466 y[1] (numeric) = 3.926656144203315 absolute error = 1.34470212742599e-12 relative error = 3.424547701765614e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.88000000000139 y[1] (analytic) = 3.937929761180492 y[1] (numeric) = 3.937929761179147 absolute error = 1.34425803821614e-12 relative error = 3.413616086979584e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.89000000000139 y[1] (analytic) = 3.949206616498355 y[1] (numeric) = 3.949206616497005 absolute error = 1.35003119794419e-12 relative error = 3.418487126766802e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.90000000000139 y[1] (analytic) = 3.96048670910988 y[1] (numeric) = 3.960486709108541 absolute error = 1.338484878488089e-12 relative error = 3.379596945520147e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.91000000000139 y[1] (analytic) = 3.971770037967435 y[1] (numeric) = 3.971770037966089 absolute error = 1.34603439505554e-12 relative error = 3.38900385014329e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.92000000000139 y[1] (analytic) = 3.983056602024014 y[1] (numeric) = 3.983056602022658 absolute error = 1.356248446882091e-12 relative error = 3.405044372688315e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.9300000000014 y[1] (analytic) = 3.994346400233287 y[1] (numeric) = 3.994346400231935 absolute error = 1.351363465573741e-12 relative error = 3.383190465140468e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.9400000000014 y[1] (analytic) = 4.005639431549646 y[1] (numeric) = 4.005639431548285 absolute error = 1.361577517400292e-12 relative error = 3.399151472986034e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.9500000000014 y[1] (analytic) = 4.016935694928105 y[1] (numeric) = 4.016935694926746 absolute error = 1.358912982141192e-12 relative error = 3.382959263841324e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.9600000000014 y[1] (analytic) = 4.028235189324391 y[1] (numeric) = 4.028235189323034 absolute error = 1.357136625301791e-12 relative error = 3.369060051157062e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.9700000000014 y[1] (analytic) = 4.039537913694904 y[1] (numeric) = 4.039537913693539 absolute error = 1.365130231079092e-12 relative error = 3.379421756263277e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.9800000000014 y[1] (analytic) = 4.050843866996679 y[1] (numeric) = 4.050843866995323 absolute error = 1.356248446882091e-12 relative error = 3.348063987189964e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 28.99000000000141 y[1] (analytic) = 4.062153048187486 y[1] (numeric) = 4.062153048186124 absolute error = 1.362465695819992e-12 relative error = 3.354048160317145e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 30.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 30.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.00000000000141 y[1] (analytic) = 4.073465456225712 y[1] (numeric) = 4.073465456224351 absolute error = 1.360689338980592e-12 relative error = 3.340372843719521e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.01000000000141 y[1] (analytic) = 4.084781090070454 y[1] (numeric) = 4.084781090069086 absolute error = 1.367794766338193e-12 relative error = 3.348514243916561e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.01 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.01 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.02000000000141 y[1] (analytic) = 4.096099948681456 y[1] (numeric) = 4.096099948680081 absolute error = 1.374900193695794e-12 relative error = 3.356608019631888e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.02 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.03000000000141 y[1] (analytic) = 4.10742203101913 y[1] (numeric) = 4.10742203101776 absolute error = 1.370459301597293e-12 relative error = 3.336543679338585e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.03 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.03 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.04000000000141 y[1] (analytic) = 4.118747336044592 y[1] (numeric) = 4.118747336043216 absolute error = 1.375788372115494e-12 relative error = 3.340307768032992e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.04 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.04 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.05000000000141 y[1] (analytic) = 4.13007586271959 y[1] (numeric) = 4.130075862718213 absolute error = 1.376676550535194e-12 relative error = 3.333296036912683e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.05 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.05 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.06000000000142 y[1] (analytic) = 4.141407610006553 y[1] (numeric) = 4.141407610005182 absolute error = 1.371347480016993e-12 relative error = 3.311307673998367e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.06 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.06 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.07000000000142 y[1] (analytic) = 4.152742576868601 y[1] (numeric) = 4.152742576867221 absolute error = 1.379341085794294e-12 relative error = 3.32151839480114e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.07 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.07 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.08000000000142 y[1] (analytic) = 4.164080762269485 y[1] (numeric) = 4.1640807622681 absolute error = 1.384670156312495e-12 relative error = 3.325272095726188e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.08 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.08 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.09000000000142 y[1] (analytic) = 4.175422165173639 y[1] (numeric) = 4.175422165172253 absolute error = 1.386446513151895e-12 relative error = 3.320494211857111e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.09 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.09 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.10000000000142 y[1] (analytic) = 4.186766784546158 y[1] (numeric) = 4.186766784544778 absolute error = 1.380229264213995e-12 relative error = 3.296647115164334e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.1 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.11000000000142 y[1] (analytic) = 4.198114619352825 y[1] (numeric) = 4.198114619351442 absolute error = 1.382893799473095e-12 relative error = 3.294082998825506e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.11 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.11 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.12000000000143 y[1] (analytic) = 4.209465668560071 y[1] (numeric) = 4.209465668558677 absolute error = 1.394440118929197e-12 relative error = 3.3126297462029e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.12 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.12 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.13000000000143 y[1] (analytic) = 4.220819931134965 y[1] (numeric) = 4.220819931133575 absolute error = 1.389999226830696e-12 relative error = 3.293197173793978e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.13 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.13 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.14000000000143 y[1] (analytic) = 4.232177406045288 y[1] (numeric) = 4.232177406043897 absolute error = 1.390887405250396e-12 relative error = 3.286458179337278e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.14 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.14 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.15000000000143 y[1] (analytic) = 4.24353809225946 y[1] (numeric) = 4.243538092258063 absolute error = 1.396216475768597e-12 relative error = 3.290217845140599e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.15 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.15 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.16000000000143 y[1] (analytic) = 4.254901988746553 y[1] (numeric) = 4.254901988745158 absolute error = 1.395328297348897e-12 relative error = 3.279342981434796e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.16 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.16 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.17000000000143 y[1] (analytic) = 4.266269094476325 y[1] (numeric) = 4.266269094474927 absolute error = 1.397992832607997e-12 relative error = 3.276851041623284e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.17 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.17 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.18000000000144 y[1] (analytic) = 4.277639408419176 y[1] (numeric) = 4.277639408417776 absolute error = 1.400657367867097e-12 relative error = 3.27436988987512e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.18 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.18 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.19000000000144 y[1] (analytic) = 4.289012929546171 y[1] (numeric) = 4.289012929544772 absolute error = 1.398881011027697e-12 relative error = 3.261545334571224e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.19 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.19 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.20000000000144 y[1] (analytic) = 4.300389656829033 y[1] (numeric) = 4.300389656827643 absolute error = 1.389999226830696e-12 relative error = 3.23226344064746e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.2 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.2 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.21000000000144 y[1] (analytic) = 4.311769589240175 y[1] (numeric) = 4.311769589238773 absolute error = 1.401545546286798e-12 relative error = 3.250511228114533e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.21 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.21 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.22000000000144 y[1] (analytic) = 4.323152725752614 y[1] (numeric) = 4.323152725751208 absolute error = 1.405986438385298e-12 relative error = 3.252224771079609e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.22 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.22 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.23000000000144 y[1] (analytic) = 4.334539065340049 y[1] (numeric) = 4.33453906533865 absolute error = 1.399769189447397e-12 relative error = 3.229338041131679e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.23 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.23 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.24000000000144 y[1] (analytic) = 4.345928606976862 y[1] (numeric) = 4.345928606975457 absolute error = 1.405098259965598e-12 relative error = 3.233137004850662e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.24 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.24 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.25000000000145 y[1] (analytic) = 4.35732134963806 y[1] (numeric) = 4.357321349636647 absolute error = 1.412203687323199e-12 relative error = 3.240990448043277e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.25 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.26000000000145 y[1] (analytic) = 4.368717292299301 y[1] (numeric) = 4.368717292297892 absolute error = 1.409539152064099e-12 relative error = 3.22643709298535e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.26 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.26 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.27000000000145 y[1] (analytic) = 4.380116433936937 y[1] (numeric) = 4.380116433935519 absolute error = 1.4184209362611e-12 relative error = 3.238317879568773e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.27 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.27 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.28000000000145 y[1] (analytic) = 4.391518773527928 y[1] (numeric) = 4.39151877352651 absolute error = 1.4175327578414e-12 relative error = 3.227887277600375e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.28 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.28 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.29000000000145 y[1] (analytic) = 4.402924310049915 y[1] (numeric) = 4.402924310048502 absolute error = 1.413091865742899e-12 relative error = 3.209439377636903e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.29 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.29 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.30000000000145 y[1] (analytic) = 4.414333042481196 y[1] (numeric) = 4.414333042479785 absolute error = 1.411315508903499e-12 relative error = 3.197120596297896e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.3 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.3 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.31000000000146 y[1] (analytic) = 4.425744969800721 y[1] (numeric) = 4.425744969799301 absolute error = 1.4201972931005e-12 relative error = 3.208945166952193e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.31 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.31 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.32000000000146 y[1] (analytic) = 4.437160090988073 y[1] (numeric) = 4.437160090986645 absolute error = 1.427302720458101e-12 relative error = 3.21670323177424e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.32 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.32 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.33000000000146 y[1] (analytic) = 4.448578405023486 y[1] (numeric) = 4.448578405022064 absolute error = 1.4219736499399e-12 relative error = 3.196467546428224e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.33 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.33 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.34000000000146 y[1] (analytic) = 4.459999910887881 y[1] (numeric) = 4.459999910886455 absolute error = 1.425526363618701e-12 relative error = 3.196247515921839e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.34 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.34 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.35000000000146 y[1] (analytic) = 4.471424607562785 y[1] (numeric) = 4.471424607561366 absolute error = 1.4193091146808e-12 relative error = 3.174176552770763e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.35 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.35 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.36000000000146 y[1] (analytic) = 4.482852494030425 y[1] (numeric) = 4.482852494028994 absolute error = 1.430855434136902e-12 relative error = 3.191841435876589e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.36 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.36 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.37000000000146 y[1] (analytic) = 4.494283569273616 y[1] (numeric) = 4.494283569272187 absolute error = 1.429079077297501e-12 relative error = 3.17977060252225e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.37 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.37 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.38000000000147 y[1] (analytic) = 4.50571783227587 y[1] (numeric) = 4.505717832274439 absolute error = 1.430855434136902e-12 relative error = 3.175643676324415e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.38 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.38 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.39000000000147 y[1] (analytic) = 4.517155282021324 y[1] (numeric) = 4.517155282019893 absolute error = 1.430855434136902e-12 relative error = 3.167602937698052e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.39 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.39 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.40000000000147 y[1] (analytic) = 4.528595917494769 y[1] (numeric) = 4.528595917493341 absolute error = 1.428190898877801e-12 relative error = 3.153716791909931e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.4 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.4 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.41000000000147 y[1] (analytic) = 4.540039737681649 y[1] (numeric) = 4.540039737680218 absolute error = 1.431743612556602e-12 relative error = 3.153592689229886e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.41 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.41 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.42000000000147 y[1] (analytic) = 4.551486741568048 y[1] (numeric) = 4.551486741566607 absolute error = 1.441513575173303e-12 relative error = 3.167126824754152e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.42 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.42 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.43000000000147 y[1] (analytic) = 4.562936928140676 y[1] (numeric) = 4.562936928139237 absolute error = 1.438849039914203e-12 relative error = 3.153339751510681e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.43 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.43 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.44000000000148 y[1] (analytic) = 4.574390296386923 y[1] (numeric) = 4.574390296385482 absolute error = 1.441513575173303e-12 relative error = 3.151269309730482e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.44 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.44 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.45000000000148 y[1] (analytic) = 4.5858468452948 y[1] (numeric) = 4.585846845293357 absolute error = 1.442401753593003e-12 relative error = 3.145333462396255e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.45 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.46000000000148 y[1] (analytic) = 4.597306573852975 y[1] (numeric) = 4.597306573851525 absolute error = 1.450395359370305e-12 relative error = 3.154880659078467e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.46 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.46 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.47000000000148 y[1] (analytic) = 4.608769481050732 y[1] (numeric) = 4.608769481049288 absolute error = 1.444178110432404e-12 relative error = 3.133543815480986e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.47 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.47 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.48000000000148 y[1] (analytic) = 4.620235565878041 y[1] (numeric) = 4.620235565876594 absolute error = 1.446842645691504e-12 relative error = 3.131534366725612e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.48 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.48 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.49000000000148 y[1] (analytic) = 4.631704827325482 y[1] (numeric) = 4.631704827324029 absolute error = 1.453059894629405e-12 relative error = 3.137203143984578e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.49 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.49 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.50000000000149 y[1] (analytic) = 4.643177264384263 y[1] (numeric) = 4.643177264382822 absolute error = 1.441513575173303e-12 relative error = 3.104584410831155e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.5 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.5 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.51000000000149 y[1] (analytic) = 4.654652876046296 y[1] (numeric) = 4.654652876044843 absolute error = 1.452171716209705e-12 relative error = 3.119828169535153e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.51 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.51 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.52000000000149 y[1] (analytic) = 4.666131661304064 y[1] (numeric) = 4.666131661302602 absolute error = 1.461941678826406e-12 relative error = 3.133091359059146e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.52 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.52 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.53000000000149 y[1] (analytic) = 4.677613619150701 y[1] (numeric) = 4.677613619149247 absolute error = 1.454836251468805e-12 relative error = 3.11021039769624e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.53 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.53 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.54000000000149 y[1] (analytic) = 4.689098748580022 y[1] (numeric) = 4.689098748578564 absolute error = 1.458388965147606e-12 relative error = 3.110169018277217e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.54 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.54 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.55000000000149 y[1] (analytic) = 4.700587048586438 y[1] (numeric) = 4.700587048584979 absolute error = 1.459277143567306e-12 relative error = 3.104457227328957e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.55 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.55 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.56000000000149 y[1] (analytic) = 4.712078518165022 y[1] (numeric) = 4.712078518163556 absolute error = 1.466382570924907e-12 relative error = 3.111965484598813e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.56 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.56 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.5700000000015 y[1] (analytic) = 4.723573156311456 y[1] (numeric) = 4.723573156309993 absolute error = 1.463718035665806e-12 relative error = 3.098751701791774e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.57 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.57 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.5800000000015 y[1] (analytic) = 4.735070962022093 y[1] (numeric) = 4.735070962020625 absolute error = 1.467270749344607e-12 relative error = 3.09873022202399e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.58 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.58 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.5900000000015 y[1] (analytic) = 4.746571934293893 y[1] (numeric) = 4.746571934292426 absolute error = 1.467270749344607e-12 relative error = 3.091221980106534e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.59 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.59 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.6000000000015 y[1] (analytic) = 4.75807607212446 y[1] (numeric) = 4.758076072123 absolute error = 1.460165321987006e-12 relative error = 3.068814579366421e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.6 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.6 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.6100000000015 y[1] (analytic) = 4.769583374512063 y[1] (numeric) = 4.769583374510589 absolute error = 1.474376176702208e-12 relative error = 3.091205375675059e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.61 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.61 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.6200000000015 y[1] (analytic) = 4.781093840455547 y[1] (numeric) = 4.781093840454067 absolute error = 1.479705247220409e-12 relative error = 3.094909442479006e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.62 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.62 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.63000000000151 y[1] (analytic) = 4.792607468954419 y[1] (numeric) = 4.792607468952943 absolute error = 1.475264355121908e-12 relative error = 3.078208187668997e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.63 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.63 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.64000000000151 y[1] (analytic) = 4.80412425900883 y[1] (numeric) = 4.804124259007358 absolute error = 1.472599819862808e-12 relative error = 3.065282537397626e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.64 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.65000000000151 y[1] (analytic) = 4.81564420961956 y[1] (numeric) = 4.815644209618082 absolute error = 1.477928890381008e-12 relative error = 3.069015953107063e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.65 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.65 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.66000000000151 y[1] (analytic) = 4.827167319787996 y[1] (numeric) = 4.827167319786521 absolute error = 1.475264355121908e-12 relative error = 3.056169917861268e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.66 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.66 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.67000000000151 y[1] (analytic) = 4.83869358851619 y[1] (numeric) = 4.838693588514709 absolute error = 1.480593425640109e-12 relative error = 3.059903253956902e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.67 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.67 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.68000000000151 y[1] (analytic) = 4.850223014806794 y[1] (numeric) = 4.850223014805311 absolute error = 1.482369782479509e-12 relative error = 3.056292005448245e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.68 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.69000000000151 y[1] (analytic) = 4.861755597663109 y[1] (numeric) = 4.861755597661623 absolute error = 1.48592249615831e-12 relative error = 3.056349638127728e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.69 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.69 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.70000000000152 y[1] (analytic) = 4.873291336089054 y[1] (numeric) = 4.873291336087568 absolute error = 1.48592249615831e-12 relative error = 3.049114845965278e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.7 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.7 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.71000000000152 y[1] (analytic) = 4.884830229089186 y[1] (numeric) = 4.884830229087696 absolute error = 1.48947520983711e-12 relative error = 3.049185212143666e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.71 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.71 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.72000000000152 y[1] (analytic) = 4.896372275668689 y[1] (numeric) = 4.89637227566719 absolute error = 1.499245172453811e-12 relative error = 3.061950946630303e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.72 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.73000000000152 y[1] (analytic) = 4.907917474833351 y[1] (numeric) = 4.907917474831856 absolute error = 1.494804280355311e-12 relative error = 3.045699704651344e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.73 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.73 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.74000000000152 y[1] (analytic) = 4.919465825589626 y[1] (numeric) = 4.919465825588127 absolute error = 1.498356994034111e-12 relative error = 3.045771730418566e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.74 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.74 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.75000000000152 y[1] (analytic) = 4.931017326944566 y[1] (numeric) = 4.931017326943065 absolute error = 1.501021529293212e-12 relative error = 3.044040265466473e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.75 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.75 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.76000000000153 y[1] (analytic) = 4.942571977905857 y[1] (numeric) = 4.942571977904354 absolute error = 1.502797886132612e-12 relative error = 3.040517958767977e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.76 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.76 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.77000000000153 y[1] (analytic) = 4.954129777481807 y[1] (numeric) = 4.954129777480305 absolute error = 1.501909707712912e-12 relative error = 3.031631739926553e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.77 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.77 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.78000000000153 y[1] (analytic) = 4.965690724681359 y[1] (numeric) = 4.965690724679852 absolute error = 1.507238778231113e-12 relative error = 3.035305382068131e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.78 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.78 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.79000000000153 y[1] (analytic) = 4.977254818514059 y[1] (numeric) = 4.977254818512553 absolute error = 1.505462421391712e-12 relative error = 3.024684241184104e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.79 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.79 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.80000000000153 y[1] (analytic) = 4.988822057990092 y[1] (numeric) = 4.988822057988591 absolute error = 1.501021529293212e-12 relative error = 3.008769428625295e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.8 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.8 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.81000000000153 y[1] (analytic) = 5.000392442120276 y[1] (numeric) = 5.000392442118768 absolute error = 1.508126956650813e-12 relative error = 3.016017190865391e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.81 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.81 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.82000000000154 y[1] (analytic) = 5.011965969916027 y[1] (numeric) = 5.01196596991451 absolute error = 1.516120562428114e-12 relative error = 3.025001708967141e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.82 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.82 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.83000000000154 y[1] (analytic) = 5.023542640389383 y[1] (numeric) = 5.023542640387866 absolute error = 1.517008740847814e-12 relative error = 3.019798674845583e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.83 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.83 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.84000000000154 y[1] (analytic) = 5.035122452553018 y[1] (numeric) = 5.035122452551503 absolute error = 1.515232384008414e-12 relative error = 3.009325787578666e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.84 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.84 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.85000000000154 y[1] (analytic) = 5.046705405420223 y[1] (numeric) = 5.046705405418709 absolute error = 1.513456027169013e-12 relative error = 2.998899094731274e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.85 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.85 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.86000000000154 y[1] (analytic) = 5.058291498004913 y[1] (numeric) = 5.058291498003393 absolute error = 1.519673276106914e-12 relative error = 3.004321274695819e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.86 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.86 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.87000000000154 y[1] (analytic) = 5.0698807293216 y[1] (numeric) = 5.06988072932008 absolute error = 1.519673276106914e-12 relative error = 2.997453702052398e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.87 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.87 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.88000000000154 y[1] (analytic) = 5.081473098385437 y[1] (numeric) = 5.081473098383916 absolute error = 1.521449632946315e-12 relative error = 2.994111360010412e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.88 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.88 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.89000000000155 y[1] (analytic) = 5.093068604212188 y[1] (numeric) = 5.093068604210664 absolute error = 1.524114168205415e-12 relative error = 2.992526287481984e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.89 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.89 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.90000000000155 y[1] (analytic) = 5.104667245818227 y[1] (numeric) = 5.104667245816705 absolute error = 1.522337811366015e-12 relative error = 2.982246908675825e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.9 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.9 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.91000000000155 y[1] (analytic) = 5.11626902222056 y[1] (numeric) = 5.116269022219035 absolute error = 1.525002346625115e-12 relative error = 2.980692258366106e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.91 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.91 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.92000000000155 y[1] (analytic) = 5.127873932436799 y[1] (numeric) = 5.127873932435269 absolute error = 1.530331417143316e-12 relative error = 2.984339001516935e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.92 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.92 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.93000000000155 y[1] (analytic) = 5.139481975485165 y[1] (numeric) = 5.139481975483633 absolute error = 1.531219595563016e-12 relative error = 2.979326715935159e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.93 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.93 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.94000000000155 y[1] (analytic) = 5.151093150384504 y[1] (numeric) = 5.151093150382973 absolute error = 1.531219595563016e-12 relative error = 2.972610960158462e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.94 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.94 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.95000000000156 y[1] (analytic) = 5.162707456154276 y[1] (numeric) = 5.162707456152746 absolute error = 1.530331417143316e-12 relative error = 2.9642032405285e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.95 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.95 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.96000000000156 y[1] (analytic) = 5.174324891814557 y[1] (numeric) = 5.174324891813024 absolute error = 1.532995952402416e-12 relative error = 2.96269751987842e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.96 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.96 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.97000000000156 y[1] (analytic) = 5.185945456386026 y[1] (numeric) = 5.185945456384491 absolute error = 1.534772309241816e-12 relative error = 2.959484094364861e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.97 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.97 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.98000000000156 y[1] (analytic) = 5.19756914888999 y[1] (numeric) = 5.197569148888447 absolute error = 1.542765915019118e-12 relative error = 2.968245098477614e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.98 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.98 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = 29.99000000000156 y[1] (analytic) = 5.209195968348343 y[1] (numeric) = 5.209195968346799 absolute error = 1.543654093438818e-12 relative error = 2.963325055955338e-11 % Desired digits = 10 Estimated correct digits = 11 Correct digits = 13 h = 0.01 Radius of convergence (given) for eq 1 = 31.99 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 31.99 Order of pole (three term test) = 1 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; Iterations = 1000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Time to Timeout = 10 Minutes 0.0 Seconds Percent Done = 100.1 %