##############ECHO OF PROBLEM################# ##############temp/sing2_backpostode.ode################# diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; ! /* BEGIN FIRST INPUT BLOCK */ Digits=32; max_terms=20; ! /* END FIRST INPUT BLOCK */ /* BEGIN SECOND INPUT BLOCK */ x_start=c(-1.5); x_end=c(-2.0); array_y_init[0 + 1] = exact_soln_y(x_start); glob_look_poles=true; glob_type_given_pole=2; array_given_rad_poles[1][1]=c(0.0); array_given_rad_poles[1][2]=c(1.0); array_given_ord_poles[1][1]=c(1.0); array_given_ord_poles[1][2]=c(0.0); /* END SECOND INPUT BLOCK */ /* BEGIN OVERRIDE BLOCK */ glob_desired_digits_correct=8; glob_max_minutes=(20.0); glob_subiter_method=3; glob_max_iter=1000; glob_upper_ratio_limit=c(1.11); glob_lower_ratio_limit=c(0.99); /* END OVERRIDE BLOCK */ ! /* BEGIN USER DEF BLOCK */ double exact_soln_y (double x) { return(arctan(c(x))); } /* END USER DEF BLOCK */ #######END OF ECHO OF PROBLEM################# START of Soultion TOP MAIN SOLVE Loop x[1] = -1.5 y[1] (closed_form) = -0.9827937232473291 y[1] (numeric) = -0.9827937232473291 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.803 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.803 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.45 y[1] (closed_form) = -0.9670469933974603 y[1] (numeric) = -0.9670469933974603 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.761 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.761 Order of pole (six term test) = -2.753e-14 TOP MAIN SOLVE Loop x[1] = -1.4 y[1] (closed_form) = -0.9505468408120751 y[1] (numeric) = -0.9505468408120752 absolute error = 1.110223024625157e-16 relative error = 1.167983498505625e-14 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.72 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.72 Order of pole (six term test) = 3.02e-14 TOP MAIN SOLVE Loop x[1] = -1.35 y[1] (closed_form) = -0.9332475286562039 y[1] (numeric) = -0.9332475286562039 absolute error = 0 relative error = 0 % Desired digits = 8 Estimated correct digits = 14 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.68 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.68 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.3 y[1] (closed_form) = -0.9151007005533603 y[1] (numeric) = -0.9151007005533605 absolute error = 1.110223024625157e-16 relative error = 1.213224975080673e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.64 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.64 Order of pole (six term test) = -1.688e-14 TOP MAIN SOLVE Loop x[1] = -1.25 y[1] (closed_form) = -0.8960553845713438 y[1] (numeric) = -0.896055384571344 absolute error = 2.220446049250313e-16 relative error = 2.478023219862166e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.601 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.601 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.2 y[1] (closed_form) = -0.8760580505981933 y[1] (numeric) = -0.8760580505981935 absolute error = 2.220446049250313e-16 relative error = 2.534587802411198e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.562 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.562 Order of pole (six term test) = -1.563e-13 TOP MAIN SOLVE Loop x[1] = -1.15 y[1] (closed_form) = -0.8550527371260164 y[1] (numeric) = -0.8550527371260166 absolute error = 2.220446049250313e-16 relative error = 2.596852747017249e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.524 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.524 Order of pole (six term test) = 4.796e-14 TOP MAIN SOLVE Loop x[1] = -1.1 y[1] (closed_form) = -0.8329812666744315 y[1] (numeric) = -0.8329812666744317 absolute error = 2.220446049250313e-16 relative error = 2.665661447723972e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.487 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.487 Order of pole (six term test) = 2.665e-14 TOP MAIN SOLVE Loop x[1] = -1.05 y[1] (closed_form) = -0.8097835725701666 y[1] (numeric) = -0.8097835725701669 absolute error = 2.220446049250313e-16 relative error = 2.74202407218864e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.45 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.45 Order of pole (six term test) = 7.283e-14 TOP MAIN SOLVE Loop x[1] = -0.9999999999999996 y[1] (closed_form) = -0.7853981633974481 y[1] (numeric) = -0.7853981633974483 absolute error = 2.220446049250313e-16 relative error = 2.82715971685646e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.414 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] = -0.9499999999999995 y[1] (closed_form) = -0.7597627548757706 y[1] (numeric) = -0.7597627548757708 absolute error = 2.220446049250313e-16 relative error = 2.922551855826862e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.379 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.379 Order of pole (six term test) = -2.753e-14 TOP MAIN SOLVE Loop x[1] = -0.8999999999999995 y[1] (closed_form) = -0.7328151017865063 y[1] (numeric) = -0.7328151017865066 absolute error = 2.220446049250313e-16 relative error = 3.030022230487826e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.345 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.345 Order of pole (six term test) = -2.842e-14 TOP MAIN SOLVE Loop x[1] = -0.8499999999999994 y[1] (closed_form) = -0.7044940642422174 y[1] (numeric) = -0.7044940642422176 absolute error = 2.220446049250313e-16 relative error = 3.151830742021532e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.312 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.312 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -0.7999999999999994 y[1] (closed_form) = -0.6747409422235523 y[1] (numeric) = -0.6747409422235525 absolute error = 2.220446049250313e-16 relative error = 3.290812681283307e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.281 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.281 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -0.7499999999999993 y[1] (closed_form) = -0.6435011087932839 y[1] (numeric) = -0.6435011087932843 absolute error = 3.33066907387547e-16 relative error = 5.175855998323388e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.25 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.25 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -0.6999999999999993 y[1] (closed_form) = -0.6107259643892081 y[1] (numeric) = -0.6107259643892085 absolute error = 3.33066907387547e-16 relative error = 5.453622849008062e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.221 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.221 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -0.6499999999999992 y[1] (closed_form) = -0.5763752205911832 y[1] (numeric) = -0.5763752205911835 absolute error = 3.33066907387547e-16 relative error = 5.778647233410261e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.193 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.193 Order of pole (six term test) = 1.332e-14 TOP MAIN SOLVE Loop x[1] = -0.5999999999999992 y[1] (closed_form) = -0.5404195002705836 y[1] (numeric) = -0.5404195002705839 absolute error = 3.33066907387547e-16 relative error = 6.163117859751232e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.166 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.166 Order of pole (six term test) = 2.753e-14 TOP MAIN SOLVE Loop x[1] = -0.5499999999999992 y[1] (closed_form) = -0.5028432109278602 y[1] (numeric) = -0.5028432109278606 absolute error = 3.33066907387547e-16 relative error = 6.623673147997021e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.141 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.141 Order of pole (six term test) = -2.132e-14 TOP MAIN SOLVE Loop x[1] = -0.4999999999999992 y[1] (closed_form) = -0.4636476090008054 y[1] (numeric) = -0.4636476090008058 absolute error = 3.885780586188048e-16 relative error = 8.380892105886602e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.118 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.118 Order of pole (six term test) = -1.599e-14 TOP MAIN SOLVE Loop x[1] = -0.4499999999999992 y[1] (closed_form) = -0.42285392613294 y[1] (numeric) = -0.4228539261329404 absolute error = 3.33066907387547e-16 relative error = 7.876642187847035e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.097 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.097 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -0.3999999999999992 y[1] (closed_form) = -0.3805063771123642 y[1] (numeric) = -0.3805063771123645 absolute error = 3.33066907387547e-16 relative error = 8.753254279604142e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.077 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.077 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -0.3499999999999992 y[1] (closed_form) = -0.3366748193867264 y[1] (numeric) = -0.3366748193867268 absolute error = 3.33066907387547e-16 relative error = 9.892836892115914e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.059 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.059 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -0.2999999999999992 y[1] (closed_form) = -0.2914567944778664 y[1] (numeric) = -0.2914567944778667 absolute error = 2.775557561562891e-16 relative error = 9.523049776675119e-14 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 16 h = 0.05 Radius of convergence (given) for eq 1 = 1.044 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.044 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -0.2499999999999992 y[1] (closed_form) = -0.2449786631268634 y[1] (numeric) = -0.2449786631268637 absolute error = 2.498001805406602e-16 relative error = 1.019681376950367e-13 % Desired digits = 8 Estimated correct digits = 13 Correct digits = 15 h = 0.05 Radius of convergence (given) for eq 1 = 1.031 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.031 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -0.1999999999999992 y[1] (closed_form) = -0.19739555984988 y[1] (numeric) = -0.1973955598498802 absolute error = 2.220446049250313e-16 relative error = 1.124871324835761e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 Radius of convergence (given) for eq 1 = 1.02 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.02 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -0.1499999999999992 y[1] (closed_form) = -0.1488899476094965 y[1] (numeric) = -0.1488899476094967 absolute error = 2.220446049250313e-16 relative error = 1.49133375684571e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 Radius of convergence (given) for eq 1 = 1.011 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.011 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -0.09999999999999924 y[1] (closed_form) = -0.09966865249116127 y[1] (numeric) = -0.0996686524911615 absolute error = 2.220446049250313e-16 relative error = 2.227827901503158e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 Radius of convergence (given) for eq 1 = 1.005 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.005 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -0.04999999999999924 y[1] (closed_form) = -0.049958395721942 y[1] (numeric) = -0.04995839572194222 absolute error = 2.151057110211241e-16 relative error = 4.305696928667557e-13 % Desired digits = 8 Estimated correct digits = 12 Correct digits = 15 h = 0.05 Radius of convergence (given) for eq 1 = 1.001 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1.001 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = 7.632783294297951e-16 y[1] (closed_form) = 7.632783294297951e-16 y[1] (numeric) = 5.48172618408671e-16 absolute error = 2.151057110211241e-16 relative error = 28.18181818181818 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = 0.05 SETTING H FOR POLE Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 = 7.633e-16 Order of pole (three term test) = 13 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = 6.869504964868156e-16 y[1] (closed_form) = 6.869504964868156e-16 y[1] (numeric) = 4.718447854656915e-16 absolute error = 2.151057110211241e-16 relative error = 31.31313131313131 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = 6.106226635438361e-16 y[1] (closed_form) = 6.106226635438361e-16 y[1] (numeric) = 3.955169525227121e-16 absolute error = 2.15105711021124e-16 relative error = 35.22727272727272 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = 5.342948306008566e-16 y[1] (closed_form) = 5.342948306008566e-16 y[1] (numeric) = 3.191891195797326e-16 absolute error = 2.15105711021124e-16 relative error = 40.25974025974024 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = 4.579669976578771e-16 y[1] (closed_form) = 4.579669976578771e-16 y[1] (numeric) = 2.428612866367531e-16 absolute error = 2.151057110211239e-16 relative error = 46.96969696969693 % Desired digits = 8 Estimated correct digits = -2 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = 3.816391647148976e-16 y[1] (closed_form) = 3.816391647148976e-16 y[1] (numeric) = 1.665334536937737e-16 absolute error = 2.151057110211239e-16 relative error = 56.36363636363632 % Desired digits = 8 Estimated correct digits = -2 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = 3.053113317719181e-16 y[1] (closed_form) = 3.053113317719181e-16 y[1] (numeric) = 9.02056207507942e-17 absolute error = 2.151057110211239e-16 relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = 2.289834988289387e-16 y[1] (closed_form) = 2.289834988289387e-16 y[1] (numeric) = 1.387778780781473e-17 absolute error = 2.15105711021124e-16 relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = 1.526556658859592e-16 y[1] (closed_form) = 1.526556658859592e-16 y[1] (numeric) = -6.245004513516475e-17 absolute error = 2.15105711021124e-16 relative error = -1 % Desired digits = 8 Estimated correct digits = -16 Correct digits = 1 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = 7.632783294297975e-17 y[1] (closed_form) = 7.632783294297975e-17 y[1] (numeric) = -1.387778780781442e-16 absolute error = 2.15105711021124e-16 relative error = -1 % Desired digits = 8 Estimated correct digits = -2 Correct digits = -16 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = 2.711709361697228e-31 y[1] (closed_form) = 2.711709361697228e-31 y[1] (numeric) = -2.151057110211237e-16 absolute error = 2.15105711021124e-16 relative error = -1 % Desired digits = 8 Estimated correct digits = -2 Correct digits = -16 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -7.63278329429792e-17 y[1] (closed_form) = -7.63278329429792e-17 y[1] (numeric) = -2.914335439641031e-16 absolute error = 2.151057110211239e-16 relative error = -1 % Desired digits = 8 Estimated correct digits = -1 Correct digits = -16 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.526556658859587e-16 y[1] (closed_form) = -1.526556658859587e-16 y[1] (numeric) = -3.677613769070826e-16 absolute error = 2.151057110211239e-16 relative error = 140.9090909090911 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 1 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.289834988289381e-16 y[1] (closed_form) = -2.289834988289381e-16 y[1] (numeric) = -4.440892098500621e-16 absolute error = 2.151057110211239e-16 relative error = 93.93939393939404 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.053113317719176e-16 y[1] (closed_form) = -3.053113317719176e-16 y[1] (numeric) = -5.204170427930415e-16 absolute error = 2.151057110211239e-16 relative error = 70.45454545454551 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.816391647148971e-16 y[1] (closed_form) = -3.816391647148971e-16 y[1] (numeric) = -5.96744875736021e-16 absolute error = 2.15105711021124e-16 relative error = 56.36363636363641 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.579669976578766e-16 y[1] (closed_form) = -4.579669976578766e-16 y[1] (numeric) = -6.730727086790006e-16 absolute error = 2.15105711021124e-16 relative error = 46.969696969697 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.342948306008561e-16 y[1] (closed_form) = -5.342948306008561e-16 y[1] (numeric) = -7.494005416219801e-16 absolute error = 2.15105711021124e-16 relative error = 40.25974025974028 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.106226635438356e-16 y[1] (closed_form) = -6.106226635438356e-16 y[1] (numeric) = -8.257283745649596e-16 absolute error = 2.15105711021124e-16 relative error = 35.22727272727274 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.869504964868151e-16 y[1] (closed_form) = -6.869504964868151e-16 y[1] (numeric) = -9.020562075079391e-16 absolute error = 2.15105711021124e-16 relative error = 31.31313131313132 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -7.632783294297946e-16 y[1] (closed_form) = -7.632783294297946e-16 y[1] (numeric) = -9.783840404509186e-16 absolute error = 2.15105711021124e-16 relative error = 28.18181818181819 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -8.396061623727741e-16 y[1] (closed_form) = -8.396061623727741e-16 y[1] (numeric) = -1.054711873393898e-15 absolute error = 2.15105711021124e-16 relative error = 25.61983471074381 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -9.159339953157536e-16 y[1] (closed_form) = -9.159339953157536e-16 y[1] (numeric) = -1.131039706336878e-15 absolute error = 2.151057110211241e-16 relative error = 23.4848484848485 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -9.922618282587331e-16 y[1] (closed_form) = -9.922618282587331e-16 y[1] (numeric) = -1.207367539279857e-15 absolute error = 2.151057110211241e-16 relative error = 21.67832167832169 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.068589661201713e-15 y[1] (closed_form) = -1.068589661201713e-15 y[1] (numeric) = -1.283695372222837e-15 absolute error = 2.151057110211241e-16 relative error = 20.12987012987014 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.144917494144692e-15 y[1] (closed_form) = -1.144917494144692e-15 y[1] (numeric) = -1.360023205165816e-15 absolute error = 2.151057110211241e-16 relative error = 18.7878787878788 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -1.221245327087672e-15 y[1] (closed_form) = -1.221245327087672e-15 y[1] (numeric) = -1.436351038108796e-15 absolute error = 2.151057110211241e-16 relative error = 17.61363636363637 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.297573160030651e-15 y[1] (closed_form) = -1.297573160030651e-15 y[1] (numeric) = -1.512678871051775e-15 absolute error = 2.151057110211241e-16 relative error = 16.57754010695188 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.373900992973631e-15 y[1] (closed_form) = -1.373900992973631e-15 y[1] (numeric) = -1.589006703994755e-15 absolute error = 2.151057110211241e-16 relative error = 15.65656565656566 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.45022882591661e-15 y[1] (closed_form) = -1.45022882591661e-15 y[1] (numeric) = -1.665334536937734e-15 absolute error = 2.151057110211241e-16 relative error = 14.83253588516747 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.52655665885959e-15 y[1] (closed_form) = -1.52655665885959e-15 y[1] (numeric) = -1.741662369880714e-15 absolute error = 2.151057110211241e-16 relative error = 14.0909090909091 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.602884491802569e-15 y[1] (closed_form) = -1.602884491802569e-15 y[1] (numeric) = -1.817990202823693e-15 absolute error = 2.151057110211239e-16 relative error = 13.41991341991341 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.679212324745549e-15 y[1] (closed_form) = -1.679212324745549e-15 y[1] (numeric) = -1.894318035766673e-15 absolute error = 2.151057110211239e-16 relative error = 12.80991735537189 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.755540157688528e-15 y[1] (closed_form) = -1.755540157688528e-15 y[1] (numeric) = -1.970645868709652e-15 absolute error = 2.151057110211239e-16 relative error = 12.25296442687746 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -1.831867990631508e-15 y[1] (closed_form) = -1.831867990631508e-15 y[1] (numeric) = -2.046973701652632e-15 absolute error = 2.151057110211241e-16 relative error = 11.74242424242425 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.908195823574487e-15 y[1] (closed_form) = -1.908195823574487e-15 y[1] (numeric) = -2.123301534595611e-15 absolute error = 2.151057110211241e-16 relative error = 11.27272727272728 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.984523656517467e-15 y[1] (closed_form) = -1.984523656517467e-15 y[1] (numeric) = -2.199629367538591e-15 absolute error = 2.151057110211241e-16 relative error = 10.83916083916084 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.060851489460446e-15 y[1] (closed_form) = -2.060851489460446e-15 y[1] (numeric) = -2.27595720048157e-15 absolute error = 2.151057110211241e-16 relative error = 10.43771043771044 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.137179322403426e-15 y[1] (closed_form) = -2.137179322403426e-15 y[1] (numeric) = -2.35228503342455e-15 absolute error = 2.151057110211241e-16 relative error = 10.06493506493507 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 2 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.213507155346405e-15 y[1] (closed_form) = -2.213507155346405e-15 y[1] (numeric) = -2.428612866367529e-15 absolute error = 2.151057110211241e-16 relative error = 9.717868338557997 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -2.289834988289385e-15 y[1] (closed_form) = -2.289834988289385e-15 y[1] (numeric) = -2.504940699310509e-15 absolute error = 2.151057110211241e-16 relative error = 9.393939393939398 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -2.366162821232364e-15 y[1] (closed_form) = -2.366162821232364e-15 y[1] (numeric) = -2.581268532253488e-15 absolute error = 2.151057110211241e-16 relative error = 9.090909090909093 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.442490654175344e-15 y[1] (closed_form) = -2.442490654175344e-15 y[1] (numeric) = -2.657596365196468e-15 absolute error = 2.151057110211241e-16 relative error = 8.806818181818185 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -2.518818487118323e-15 y[1] (closed_form) = -2.518818487118323e-15 y[1] (numeric) = -2.733924198139447e-15 absolute error = 2.151057110211241e-16 relative error = 8.53994490358127 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.595146320061303e-15 y[1] (closed_form) = -2.595146320061303e-15 y[1] (numeric) = -2.810252031082427e-15 absolute error = 2.151057110211241e-16 relative error = 8.288770053475938 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.671474153004282e-15 y[1] (closed_form) = -2.671474153004282e-15 y[1] (numeric) = -2.886579864025406e-15 absolute error = 2.151057110211241e-16 relative error = 8.051948051948054 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.747801985947262e-15 y[1] (closed_form) = -2.747801985947262e-15 y[1] (numeric) = -2.962907696968386e-15 absolute error = 2.151057110211241e-16 relative error = 7.828282828282831 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.824129818890241e-15 y[1] (closed_form) = -2.824129818890241e-15 y[1] (numeric) = -3.039235529911365e-15 absolute error = 2.151057110211241e-16 relative error = 7.616707616707619 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.900457651833221e-15 y[1] (closed_form) = -2.900457651833221e-15 y[1] (numeric) = -3.115563362854345e-15 absolute error = 2.151057110211241e-16 relative error = 7.416267942583734 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.9767854847762e-15 y[1] (closed_form) = -2.9767854847762e-15 y[1] (numeric) = -3.191891195797324e-15 absolute error = 2.151057110211241e-16 relative error = 7.226107226107228 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.05311331771918e-15 y[1] (closed_form) = -3.05311331771918e-15 y[1] (numeric) = -3.268219028740304e-15 absolute error = 2.151057110211241e-16 relative error = 7.045454545454548 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.129441150662159e-15 y[1] (closed_form) = -3.129441150662159e-15 y[1] (numeric) = -3.344546861683283e-15 absolute error = 2.151057110211241e-16 relative error = 6.873614190687364 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.205768983605139e-15 y[1] (closed_form) = -3.205768983605139e-15 y[1] (numeric) = -3.420874694626263e-15 absolute error = 2.151057110211241e-16 relative error = 6.709956709956711 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.282096816548118e-15 y[1] (closed_form) = -3.282096816548118e-15 y[1] (numeric) = -3.497202527569242e-15 absolute error = 2.151057110211241e-16 relative error = 6.553911205073997 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.358424649491098e-15 y[1] (closed_form) = -3.358424649491098e-15 y[1] (numeric) = -3.573530360512222e-15 absolute error = 2.151057110211241e-16 relative error = 6.404958677685952 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.434752482434077e-15 y[1] (closed_form) = -3.434752482434077e-15 y[1] (numeric) = -3.649858193455201e-15 absolute error = 2.151057110211241e-16 relative error = 6.262626262626264 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -3.511080315377057e-15 y[1] (closed_form) = -3.511080315377057e-15 y[1] (numeric) = -3.726186026398181e-15 absolute error = 2.151057110211241e-16 relative error = 6.126482213438736 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -3.587408148320036e-15 y[1] (closed_form) = -3.587408148320036e-15 y[1] (numeric) = -3.80251385934116e-15 absolute error = 2.151057110211241e-16 relative error = 5.996131528046423 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.663735981263016e-15 y[1] (closed_form) = -3.663735981263016e-15 y[1] (numeric) = -3.87884169228414e-15 absolute error = 2.151057110211241e-16 relative error = 5.871212121212123 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.740063814205995e-15 y[1] (closed_form) = -3.740063814205995e-15 y[1] (numeric) = -3.955169525227119e-15 absolute error = 2.151057110211241e-16 relative error = 5.751391465677181 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -3.816391647148975e-15 y[1] (closed_form) = -3.816391647148975e-15 y[1] (numeric) = -4.031497358170099e-15 absolute error = 2.151057110211241e-16 relative error = 5.636363636363638 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.892719480091954e-15 y[1] (closed_form) = -3.892719480091954e-15 y[1] (numeric) = -4.107825191113078e-15 absolute error = 2.151057110211241e-16 relative error = 5.525846702317292 % Desired digits = 8 Estimated correct digits = -1 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -3.969047313034934e-15 y[1] (closed_form) = -3.969047313034934e-15 y[1] (numeric) = -4.184153024056058e-15 absolute error = 2.151057110211241e-16 relative error = 5.419580419580421 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -4.045375145977913e-15 y[1] (closed_form) = -4.045375145977913e-15 y[1] (numeric) = -4.260480856999037e-15 absolute error = 2.151057110211241e-16 relative error = 5.317324185248714 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -4.121702978920893e-15 y[1] (closed_form) = -4.121702978920893e-15 y[1] (numeric) = -4.336808689942017e-15 absolute error = 2.151057110211241e-16 relative error = 5.21885521885522 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -4.198030811863872e-15 y[1] (closed_form) = -4.198030811863872e-15 y[1] (numeric) = -4.413136522884996e-15 absolute error = 2.151057110211241e-16 relative error = 5.123966942148761 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.274358644806852e-15 y[1] (closed_form) = -4.274358644806852e-15 y[1] (numeric) = -4.489464355827976e-15 absolute error = 2.151057110211241e-16 relative error = 5.032467532467534 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -4.350686477749831e-15 y[1] (closed_form) = -4.350686477749831e-15 y[1] (numeric) = -4.565792188770955e-15 absolute error = 2.151057110211241e-16 relative error = 4.944178628389156 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.427014310692811e-15 y[1] (closed_form) = -4.427014310692811e-15 y[1] (numeric) = -4.642120021713935e-15 absolute error = 2.151057110211241e-16 relative error = 4.858934169278998 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.50334214363579e-15 y[1] (closed_form) = -4.50334214363579e-15 y[1] (numeric) = -4.718447854656915e-15 absolute error = 2.151057110211241e-16 relative error = 4.77657935285054 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -4.57966997657877e-15 y[1] (closed_form) = -4.57966997657877e-15 y[1] (numeric) = -4.794775687599894e-15 absolute error = 2.151057110211241e-16 relative error = 4.696969696969698 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.655997809521749e-15 y[1] (closed_form) = -4.655997809521749e-15 y[1] (numeric) = -4.871103520542874e-15 absolute error = 2.151057110211241e-16 relative error = 4.619970193740686 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.732325642464729e-15 y[1] (closed_form) = -4.732325642464729e-15 y[1] (numeric) = -4.947431353485853e-15 absolute error = 2.151057110211241e-16 relative error = 4.545454545454546 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.808653475407708e-15 y[1] (closed_form) = -4.808653475407708e-15 y[1] (numeric) = -5.023759186428833e-15 absolute error = 2.151057110211241e-16 relative error = 4.473304473304474 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.884981308350688e-15 y[1] (closed_form) = -4.884981308350688e-15 y[1] (numeric) = -5.100087019371812e-15 absolute error = 2.151057110211241e-16 relative error = 4.403409090909092 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -4.961309141293668e-15 y[1] (closed_form) = -4.961309141293668e-15 y[1] (numeric) = -5.176414852314792e-15 absolute error = 2.151057110211241e-16 relative error = 4.335664335664337 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.037636974236647e-15 y[1] (closed_form) = -5.037636974236647e-15 y[1] (numeric) = -5.252742685257771e-15 absolute error = 2.151057110211241e-16 relative error = 4.269972451790634 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.113964807179627e-15 y[1] (closed_form) = -5.113964807179627e-15 y[1] (numeric) = -5.329070518200751e-15 absolute error = 2.151057110211241e-16 relative error = 4.206241519674356 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.190292640122606e-15 y[1] (closed_form) = -5.190292640122606e-15 y[1] (numeric) = -5.40539835114373e-15 absolute error = 2.151057110211241e-16 relative error = 4.144385026737969 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.266620473065586e-15 y[1] (closed_form) = -5.266620473065586e-15 y[1] (numeric) = -5.48172618408671e-15 absolute error = 2.151057110211241e-16 relative error = 4.084321475625824 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.342948306008565e-15 y[1] (closed_form) = -5.342948306008565e-15 y[1] (numeric) = -5.558054017029689e-15 absolute error = 2.151057110211241e-16 relative error = 4.025974025974026 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.419276138951545e-15 y[1] (closed_form) = -5.419276138951545e-15 y[1] (numeric) = -5.634381849972669e-15 absolute error = 2.151057110211241e-16 relative error = 3.969270166453266 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -5.495603971894524e-15 y[1] (closed_form) = -5.495603971894524e-15 y[1] (numeric) = -5.710709682915648e-15 absolute error = 2.151057110211241e-16 relative error = 3.914141414141415 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.571931804837504e-15 y[1] (closed_form) = -5.571931804837504e-15 y[1] (numeric) = -5.787037515858628e-15 absolute error = 2.151057110211241e-16 relative error = 3.860523038605231 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.648259637780483e-15 y[1] (closed_form) = -5.648259637780483e-15 y[1] (numeric) = -5.863365348801607e-15 absolute error = 2.151057110211241e-16 relative error = 3.808353808353809 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.724587470723463e-15 y[1] (closed_form) = -5.724587470723463e-15 y[1] (numeric) = -5.939693181744587e-15 absolute error = 2.151057110211241e-16 relative error = 3.757575757575758 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.800915303666442e-15 y[1] (closed_form) = -5.800915303666442e-15 y[1] (numeric) = -6.016021014687566e-15 absolute error = 2.151057110211241e-16 relative error = 3.708133971291867 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.877243136609422e-15 y[1] (closed_form) = -5.877243136609422e-15 y[1] (numeric) = -6.092348847630546e-15 absolute error = 2.151057110211241e-16 relative error = 3.659976387249115 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.953570969552401e-15 y[1] (closed_form) = -5.953570969552401e-15 y[1] (numeric) = -6.168676680573525e-15 absolute error = 2.151057110211241e-16 relative error = 3.613053613053613 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.029898802495381e-15 y[1] (closed_form) = -6.029898802495381e-15 y[1] (numeric) = -6.245004513516505e-15 absolute error = 2.151057110211241e-16 relative error = 3.567318757192175 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -6.10622663543836e-15 y[1] (closed_form) = -6.10622663543836e-15 y[1] (numeric) = -6.321332346459484e-15 absolute error = 2.151057110211241e-16 relative error = 3.522727272727273 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.18255446838134e-15 y[1] (closed_form) = -6.18255446838134e-15 y[1] (numeric) = -6.397660179402464e-15 absolute error = 2.151057110211241e-16 relative error = 3.479236812570146 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.258882301324319e-15 y[1] (closed_form) = -6.258882301324319e-15 y[1] (numeric) = -6.473988012345443e-15 absolute error = 2.151057110211241e-16 relative error = 3.436807095343681 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.335210134267299e-15 y[1] (closed_form) = -6.335210134267299e-15 y[1] (numeric) = -6.550315845288423e-15 absolute error = 2.151057110211241e-16 relative error = 3.39539978094195 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.411537967210278e-15 y[1] (closed_form) = -6.411537967210278e-15 y[1] (numeric) = -6.626643678231402e-15 absolute error = 2.151057110211241e-16 relative error = 3.354978354978355 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.487865800153258e-15 y[1] (closed_form) = -6.487865800153258e-15 y[1] (numeric) = -6.702971511174382e-15 absolute error = 2.151057110211241e-16 relative error = 3.315508021390375 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.564193633096237e-15 y[1] (closed_form) = -6.564193633096237e-15 y[1] (numeric) = -6.779299344117361e-15 absolute error = 2.151057110211241e-16 relative error = 3.276955602536998 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.640521466039217e-15 y[1] (closed_form) = -6.640521466039217e-15 y[1] (numeric) = -6.855627177060341e-15 absolute error = 2.151057110211241e-16 relative error = 3.239289446185998 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.716849298982196e-15 y[1] (closed_form) = -6.716849298982196e-15 y[1] (numeric) = -6.93195501000332e-15 absolute error = 2.151057110211241e-16 relative error = 3.202479338842976 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.793177131925176e-15 y[1] (closed_form) = -6.793177131925176e-15 y[1] (numeric) = -7.0082828429463e-15 absolute error = 2.151057110211241e-16 relative error = 3.166496424923392 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.869504964868155e-15 y[1] (closed_form) = -6.869504964868155e-15 y[1] (numeric) = -7.084610675889279e-15 absolute error = 2.151057110211241e-16 relative error = 3.131313131313131 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -6.945832797811135e-15 y[1] (closed_form) = -6.945832797811135e-15 y[1] (numeric) = -7.160938508832258e-15 absolute error = 2.151057110211233e-16 relative error = 3.096903096903086 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.022160630754114e-15 y[1] (closed_form) = -7.022160630754114e-15 y[1] (numeric) = -7.237266341775238e-15 absolute error = 2.151057110211233e-16 relative error = 3.063241106719357 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -7.098488463697094e-15 y[1] (closed_form) = -7.098488463697094e-15 y[1] (numeric) = -7.313594174718217e-15 absolute error = 2.151057110211233e-16 relative error = 3.03030303030302 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -7.174816296640073e-15 y[1] (closed_form) = -7.174816296640073e-15 y[1] (numeric) = -7.389922007661197e-15 absolute error = 2.151057110211241e-16 relative error = 2.998065764023211 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.251144129583052e-15 y[1] (closed_form) = -7.251144129583052e-15 y[1] (numeric) = -7.466249840604176e-15 absolute error = 2.151057110211241e-16 relative error = 2.966507177033494 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -7.327471962526032e-15 y[1] (closed_form) = -7.327471962526032e-15 y[1] (numeric) = -7.542577673547156e-15 absolute error = 2.151057110211241e-16 relative error = 2.935606060606061 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -7.403799795469011e-15 y[1] (closed_form) = -7.403799795469011e-15 y[1] (numeric) = -7.618905506490135e-15 absolute error = 2.151057110211241e-16 relative error = 2.905342080599813 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -7.480127628411991e-15 y[1] (closed_form) = -7.480127628411991e-15 y[1] (numeric) = -7.695233339433115e-15 absolute error = 2.151057110211241e-16 relative error = 2.875695732838591 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -7.55645546135497e-15 y[1] (closed_form) = -7.55645546135497e-15 y[1] (numeric) = -7.771561172376094e-15 absolute error = 2.151057110211241e-16 relative error = 2.846648301193756 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -7.63278329429795e-15 y[1] (closed_form) = -7.63278329429795e-15 y[1] (numeric) = -7.847889005319074e-15 absolute error = 2.151057110211241e-16 relative error = 2.818181818181819 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -7.709111127240929e-15 y[1] (closed_form) = -7.709111127240929e-15 y[1] (numeric) = -7.924216838262053e-15 absolute error = 2.151057110211241e-16 relative error = 2.790279027902791 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -7.785438960183909e-15 y[1] (closed_form) = -7.785438960183909e-15 y[1] (numeric) = -8.000544671205033e-15 absolute error = 2.151057110211241e-16 relative error = 2.762923351158646 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -7.861766793126888e-15 y[1] (closed_form) = -7.861766793126888e-15 y[1] (numeric) = -8.076872504148012e-15 absolute error = 2.151057110211241e-16 relative error = 2.736098852603707 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.938094626069868e-15 y[1] (closed_form) = -7.938094626069868e-15 y[1] (numeric) = -8.153200337090992e-15 absolute error = 2.151057110211241e-16 relative error = 2.70979020979021 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -8.014422459012847e-15 y[1] (closed_form) = -8.014422459012847e-15 y[1] (numeric) = -8.229528170033971e-15 absolute error = 2.151057110211241e-16 relative error = 2.683982683982685 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-15 TOP MAIN SOLVE Loop x[1] = -8.090750291955827e-15 y[1] (closed_form) = -8.090750291955827e-15 y[1] (numeric) = -8.305856002976951e-15 absolute error = 2.151057110211241e-16 relative error = 2.658662092624357 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -8.167078124898806e-15 y[1] (closed_form) = -8.167078124898806e-15 y[1] (numeric) = -8.38218383591993e-15 absolute error = 2.151057110211241e-16 relative error = 2.633814783347494 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -8.243405957841786e-15 y[1] (closed_form) = -8.243405957841786e-15 y[1] (numeric) = -8.45851166886291e-15 absolute error = 2.151057110211241e-16 relative error = 2.60942760942761 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -8.319733790784765e-15 y[1] (closed_form) = -8.319733790784765e-15 y[1] (numeric) = -8.534839501805889e-15 absolute error = 2.151057110211241e-16 relative error = 2.585487906588825 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -8.396061623727745e-15 y[1] (closed_form) = -8.396061623727745e-15 y[1] (numeric) = -8.611167334748869e-15 absolute error = 2.151057110211241e-16 relative error = 2.561983471074381 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -8.472389456670724e-15 y[1] (closed_form) = -8.472389456670724e-15 y[1] (numeric) = -8.687495167691848e-15 absolute error = 2.151057110211241e-16 relative error = 2.538902538902539 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -8.548717289613704e-15 y[1] (closed_form) = -8.548717289613704e-15 y[1] (numeric) = -8.763823000634828e-15 absolute error = 2.151057110211241e-16 relative error = 2.516233766233767 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -8.625045122556683e-15 y[1] (closed_form) = -8.625045122556683e-15 y[1] (numeric) = -8.840150833577807e-15 absolute error = 2.151057110211241e-16 relative error = 2.49396621078037 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -8.701372955499663e-15 y[1] (closed_form) = -8.701372955499663e-15 y[1] (numeric) = -8.916478666520787e-15 absolute error = 2.151057110211241e-16 relative error = 2.472089314194578 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -8.777700788442642e-15 y[1] (closed_form) = -8.777700788442642e-15 y[1] (numeric) = -8.992806499463766e-15 absolute error = 2.151057110211241e-16 relative error = 2.450592885375495 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -8.854028621385622e-15 y[1] (closed_form) = -8.854028621385622e-15 y[1] (numeric) = -9.069134332406746e-15 absolute error = 2.151057110211241e-16 relative error = 2.429467084639499 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -8.930356454328601e-15 y[1] (closed_form) = -8.930356454328601e-15 y[1] (numeric) = -9.145462165349725e-15 absolute error = 2.151057110211241e-16 relative error = 2.408702408702409 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -9.006684287271581e-15 y[1] (closed_form) = -9.006684287271581e-15 y[1] (numeric) = -9.221789998292705e-15 absolute error = 2.151057110211241e-16 relative error = 2.38828967642527 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -9.08301212021456e-15 y[1] (closed_form) = -9.08301212021456e-15 y[1] (numeric) = -9.298117831235684e-15 absolute error = 2.151057110211241e-16 relative error = 2.368220015278839 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -9.15933995315754e-15 y[1] (closed_form) = -9.15933995315754e-15 y[1] (numeric) = -9.374445664178664e-15 absolute error = 2.151057110211241e-16 relative error = 2.348484848484849 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -9.235667786100519e-15 y[1] (closed_form) = -9.235667786100519e-15 y[1] (numeric) = -9.450773497121643e-15 absolute error = 2.151057110211241e-16 relative error = 2.329075882794891 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -9.311995619043499e-15 y[1] (closed_form) = -9.311995619043499e-15 y[1] (numeric) = -9.527101330064623e-15 absolute error = 2.151057110211241e-16 relative error = 2.309985096870343 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -9.388323451986478e-15 y[1] (closed_form) = -9.388323451986478e-15 y[1] (numeric) = -9.603429163007602e-15 absolute error = 2.151057110211241e-16 relative error = 2.291204730229121 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -9.464651284929458e-15 y[1] (closed_form) = -9.464651284929458e-15 y[1] (numeric) = -9.679756995950582e-15 absolute error = 2.151057110211241e-16 relative error = 2.272727272727273 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -9.540979117872437e-15 y[1] (closed_form) = -9.540979117872437e-15 y[1] (numeric) = -9.756084828893562e-15 absolute error = 2.151057110211241e-16 relative error = 2.254545454545455 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -9.617306950815417e-15 y[1] (closed_form) = -9.617306950815417e-15 y[1] (numeric) = -9.832412661836541e-15 absolute error = 2.151057110211241e-16 relative error = 2.236652236652237 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -9.693634783758396e-15 y[1] (closed_form) = -9.693634783758396e-15 y[1] (numeric) = -9.908740494779521e-15 absolute error = 2.151057110211241e-16 relative error = 2.219040801717967 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -9.769962616701376e-15 y[1] (closed_form) = -9.769962616701376e-15 y[1] (numeric) = -9.9850683277225e-15 absolute error = 2.151057110211241e-16 relative error = 2.201704545454546 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -9.846290449644355e-15 y[1] (closed_form) = -9.846290449644355e-15 y[1] (numeric) = -1.006139616066548e-14 absolute error = 2.151057110211241e-16 relative error = 2.184637068357999 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -9.922618282587335e-15 y[1] (closed_form) = -9.922618282587335e-15 y[1] (numeric) = -1.013772399360846e-14 absolute error = 2.151057110211241e-16 relative error = 2.167832167832168 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -9.998946115530315e-15 y[1] (closed_form) = -9.998946115530315e-15 y[1] (numeric) = -1.021405182655144e-14 absolute error = 2.151057110211241e-16 relative error = 2.151283830673144 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.007527394847329e-14 y[1] (closed_form) = -1.007527394847329e-14 y[1] (numeric) = -1.029037965949442e-14 absolute error = 2.151057110211241e-16 relative error = 2.134986225895317 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -1.015160178141627e-14 y[1] (closed_form) = -1.015160178141627e-14 y[1] (numeric) = -1.03667074924374e-14 absolute error = 2.151057110211241e-16 relative error = 2.118933697881066 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -1.022792961435925e-14 y[1] (closed_form) = -1.022792961435925e-14 y[1] (numeric) = -1.044303532538038e-14 absolute error = 2.151057110211241e-16 relative error = 2.103120759837178 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.030425744730223e-14 y[1] (closed_form) = -1.030425744730223e-14 y[1] (numeric) = -1.051936315832336e-14 absolute error = 2.151057110211241e-16 relative error = 2.087542087542088 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.038058528024521e-14 y[1] (closed_form) = -1.038058528024521e-14 y[1] (numeric) = -1.059569099126634e-14 absolute error = 2.151057110211241e-16 relative error = 2.072192513368984 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.045691311318819e-14 y[1] (closed_form) = -1.045691311318819e-14 y[1] (numeric) = -1.067201882420932e-14 absolute error = 2.151057110211241e-16 relative error = 2.05706702057067 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -1.053324094613117e-14 y[1] (closed_form) = -1.053324094613117e-14 y[1] (numeric) = -1.07483466571523e-14 absolute error = 2.151057110211241e-16 relative error = 2.042160737812912 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.060956877907415e-14 y[1] (closed_form) = -1.060956877907415e-14 y[1] (numeric) = -1.082467449009527e-14 absolute error = 2.151057110211241e-16 relative error = 2.027468933943755 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.068589661201713e-14 y[1] (closed_form) = -1.068589661201713e-14 y[1] (numeric) = -1.090100232303825e-14 absolute error = 2.151057110211241e-16 relative error = 2.012987012987013 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -1.076222444496011e-14 y[1] (closed_form) = -1.076222444496011e-14 y[1] (numeric) = -1.097733015598123e-14 absolute error = 2.151057110211241e-16 relative error = 1.998710509348808 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.083855227790309e-14 y[1] (closed_form) = -1.083855227790309e-14 y[1] (numeric) = -1.105365798892421e-14 absolute error = 2.151057110211241e-16 relative error = 1.984635083226633 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.091488011084607e-14 y[1] (closed_form) = -1.091488011084607e-14 y[1] (numeric) = -1.112998582186719e-14 absolute error = 2.151057110211241e-16 relative error = 1.970756516211062 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.099120794378905e-14 y[1] (closed_form) = -1.099120794378905e-14 y[1] (numeric) = -1.120631365481017e-14 absolute error = 2.151057110211241e-16 relative error = 1.957070707070707 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.106753577673203e-14 y[1] (closed_form) = -1.106753577673203e-14 y[1] (numeric) = -1.128264148775315e-14 absolute error = 2.151057110211241e-16 relative error = 1.943573667711599 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.114386360967501e-14 y[1] (closed_form) = -1.114386360967501e-14 y[1] (numeric) = -1.135896932069613e-14 absolute error = 2.151057110211241e-16 relative error = 1.930261519302615 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.122019144261799e-14 y[1] (closed_form) = -1.122019144261799e-14 y[1] (numeric) = -1.143529715363911e-14 absolute error = 2.151057110211241e-16 relative error = 1.91713048855906 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.129651927556097e-14 y[1] (closed_form) = -1.129651927556097e-14 y[1] (numeric) = -1.151162498658209e-14 absolute error = 2.151057110211241e-16 relative error = 1.904176904176905 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -1.137284710850395e-14 y[1] (closed_form) = -1.137284710850395e-14 y[1] (numeric) = -1.158795281952507e-14 absolute error = 2.151057110211241e-16 relative error = 1.891397193410616 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.144917494144693e-14 y[1] (closed_form) = -1.144917494144693e-14 y[1] (numeric) = -1.166428065246805e-14 absolute error = 2.151057110211241e-16 relative error = 1.878787878787879 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.15255027743899e-14 y[1] (closed_form) = -1.15255027743899e-14 y[1] (numeric) = -1.174060848541103e-14 absolute error = 2.151057110211241e-16 relative error = 1.866345574954847 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.160183060733288e-14 y[1] (closed_form) = -1.160183060733288e-14 y[1] (numeric) = -1.181693631835401e-14 absolute error = 2.151057110211241e-16 relative error = 1.854066985645933 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.167815844027586e-14 y[1] (closed_form) = -1.167815844027586e-14 y[1] (numeric) = -1.189326415129699e-14 absolute error = 2.151057110211241e-16 relative error = 1.84194890077243 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.175448627321884e-14 y[1] (closed_form) = -1.175448627321884e-14 y[1] (numeric) = -1.196959198423997e-14 absolute error = 2.151057110211241e-16 relative error = 1.829988193624557 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.183081410616182e-14 y[1] (closed_form) = -1.183081410616182e-14 y[1] (numeric) = -1.204591981718295e-14 absolute error = 2.151057110211241e-16 relative error = 1.818181818181818 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-15 TOP MAIN SOLVE Loop x[1] = -1.19071419391048e-14 y[1] (closed_form) = -1.19071419391048e-14 y[1] (numeric) = -1.212224765012593e-14 absolute error = 2.151057110211241e-16 relative error = 1.806526806526807 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.198346977204778e-14 y[1] (closed_form) = -1.198346977204778e-14 y[1] (numeric) = -1.219857548306891e-14 absolute error = 2.151057110211241e-16 relative error = 1.795020266357846 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.205979760499076e-14 y[1] (closed_form) = -1.205979760499076e-14 y[1] (numeric) = -1.227490331601189e-14 absolute error = 2.151057110211241e-16 relative error = 1.783659378596088 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -1.213612543793374e-14 y[1] (closed_form) = -1.213612543793374e-14 y[1] (numeric) = -1.235123114895486e-14 absolute error = 2.151057110211241e-16 relative error = 1.772441395082905 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.221245327087672e-14 y[1] (closed_form) = -1.221245327087672e-14 y[1] (numeric) = -1.242755898189784e-14 absolute error = 2.151057110211241e-16 relative error = 1.761363636363637 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.22887811038197e-14 y[1] (closed_form) = -1.22887811038197e-14 y[1] (numeric) = -1.250388681484082e-14 absolute error = 2.151057110211241e-16 relative error = 1.750423489553925 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.236510893676268e-14 y[1] (closed_form) = -1.236510893676268e-14 y[1] (numeric) = -1.25802146477838e-14 absolute error = 2.151057110211241e-16 relative error = 1.739618406285073 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.244143676970566e-14 y[1] (closed_form) = -1.244143676970566e-14 y[1] (numeric) = -1.265654248072678e-14 absolute error = 2.151057110211241e-16 relative error = 1.728945900725042 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.251776460264864e-14 y[1] (closed_form) = -1.251776460264864e-14 y[1] (numeric) = -1.273287031366976e-14 absolute error = 2.151057110211241e-16 relative error = 1.718403547671841 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.259409243559162e-14 y[1] (closed_form) = -1.259409243559162e-14 y[1] (numeric) = -1.280919814661274e-14 absolute error = 2.151057110211241e-16 relative error = 1.707988980716254 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.26704202685346e-14 y[1] (closed_form) = -1.26704202685346e-14 y[1] (numeric) = -1.288552597955572e-14 absolute error = 2.151057110211241e-16 relative error = 1.697699890470975 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.274674810147758e-14 y[1] (closed_form) = -1.274674810147758e-14 y[1] (numeric) = -1.29618538124987e-14 absolute error = 2.151057110211241e-16 relative error = 1.687534022863364 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.282307593442056e-14 y[1] (closed_form) = -1.282307593442056e-14 y[1] (numeric) = -1.303818164544168e-14 absolute error = 2.151057110211241e-16 relative error = 1.677489177489178 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.289940376736354e-14 y[1] (closed_form) = -1.289940376736354e-14 y[1] (numeric) = -1.311450947838466e-14 absolute error = 2.151057110211241e-16 relative error = 1.667563206024745 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.297573160030652e-14 y[1] (closed_form) = -1.297573160030652e-14 y[1] (numeric) = -1.319083731132764e-14 absolute error = 2.151057110211241e-16 relative error = 1.657754010695187 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.30520594332495e-14 y[1] (closed_form) = -1.30520594332495e-14 y[1] (numeric) = -1.326716514427062e-14 absolute error = 2.151057110211241e-16 relative error = 1.648059542796385 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.312838726619247e-14 y[1] (closed_form) = -1.312838726619247e-14 y[1] (numeric) = -1.33434929772136e-14 absolute error = 2.151057110211241e-16 relative error = 1.638477801268499 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.320471509913545e-14 y[1] (closed_form) = -1.320471509913545e-14 y[1] (numeric) = -1.341982081015658e-14 absolute error = 2.151057110211241e-16 relative error = 1.62900683131897 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -1.328104293207843e-14 y[1] (closed_form) = -1.328104293207843e-14 y[1] (numeric) = -1.349614864309956e-14 absolute error = 2.151057110211241e-16 relative error = 1.619644723092999 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.335737076502141e-14 y[1] (closed_form) = -1.335737076502141e-14 y[1] (numeric) = -1.357247647604254e-14 absolute error = 2.151057110211241e-16 relative error = 1.61038961038961 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.343369859796439e-14 y[1] (closed_form) = -1.343369859796439e-14 y[1] (numeric) = -1.364880430898552e-14 absolute error = 2.151057110211241e-16 relative error = 1.601239669421488 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.351002643090737e-14 y[1] (closed_form) = -1.351002643090737e-14 y[1] (numeric) = -1.37251321419285e-14 absolute error = 2.151057110211241e-16 relative error = 1.592193117616847 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.358635426385035e-14 y[1] (closed_form) = -1.358635426385035e-14 y[1] (numeric) = -1.380145997487148e-14 absolute error = 2.151057110211241e-16 relative error = 1.583248212461696 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.366268209679333e-14 y[1] (closed_form) = -1.366268209679333e-14 y[1] (numeric) = -1.387778780781446e-14 absolute error = 2.151057110211241e-16 relative error = 1.574403250380904 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.373900992973631e-14 y[1] (closed_form) = -1.373900992973631e-14 y[1] (numeric) = -1.395411564075743e-14 absolute error = 2.151057110211241e-16 relative error = 1.565656565656566 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -1.381533776267929e-14 y[1] (closed_form) = -1.381533776267929e-14 y[1] (numeric) = -1.403044347370041e-14 absolute error = 2.151057110211241e-16 relative error = 1.55700652938222 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.389166559562227e-14 y[1] (closed_form) = -1.389166559562227e-14 y[1] (numeric) = -1.410677130664339e-14 absolute error = 2.151057110211241e-16 relative error = 1.548451548451549 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.396799342856525e-14 y[1] (closed_form) = -1.396799342856525e-14 y[1] (numeric) = -1.418309913958637e-14 absolute error = 2.151057110211241e-16 relative error = 1.539990064580229 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.404432126150823e-14 y[1] (closed_form) = -1.404432126150823e-14 y[1] (numeric) = -1.425942697252935e-14 absolute error = 2.151057110211225e-16 relative error = 1.531620553359673 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -1.412064909445121e-14 y[1] (closed_form) = -1.412064909445121e-14 y[1] (numeric) = -1.433575480547233e-14 absolute error = 2.151057110211225e-16 relative error = 1.523341523341512 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.419697692739419e-14 y[1] (closed_form) = -1.419697692739419e-14 y[1] (numeric) = -1.441208263841531e-14 absolute error = 2.151057110211225e-16 relative error = 1.515151515151504 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -1.427330476033717e-14 y[1] (closed_form) = -1.427330476033717e-14 y[1] (numeric) = -1.448841047135829e-14 absolute error = 2.151057110211241e-16 relative error = 1.507049100631989 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.434963259328015e-14 y[1] (closed_form) = -1.434963259328015e-14 y[1] (numeric) = -1.456473830430127e-14 absolute error = 2.151057110211241e-16 relative error = 1.499032882011606 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.442596042622312e-14 y[1] (closed_form) = -1.442596042622312e-14 y[1] (numeric) = -1.464106613724425e-14 absolute error = 2.151057110211241e-16 relative error = 1.491101491101491 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.45022882591661e-14 y[1] (closed_form) = -1.45022882591661e-14 y[1] (numeric) = -1.471739397018723e-14 absolute error = 2.151057110211241e-16 relative error = 1.483253588516747 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -1.457861609210908e-14 y[1] (closed_form) = -1.457861609210908e-14 y[1] (numeric) = -1.479372180313021e-14 absolute error = 2.151057110211241e-16 relative error = 1.475487862922418 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.465494392505206e-14 y[1] (closed_form) = -1.465494392505206e-14 y[1] (numeric) = -1.487004963607319e-14 absolute error = 2.151057110211241e-16 relative error = 1.467803030303031 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.473127175799504e-14 y[1] (closed_form) = -1.473127175799504e-14 y[1] (numeric) = -1.494637746901617e-14 absolute error = 2.151057110211241e-16 relative error = 1.460197833254828 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.155e-14 TOP MAIN SOLVE Loop x[1] = -1.480759959093802e-14 y[1] (closed_form) = -1.480759959093802e-14 y[1] (numeric) = -1.502270530195915e-14 absolute error = 2.151057110211241e-16 relative error = 1.452671040299907 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.4883927423881e-14 y[1] (closed_form) = -1.4883927423881e-14 y[1] (numeric) = -1.509903313490213e-14 absolute error = 2.151057110211241e-16 relative error = 1.445221445221446 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.496025525682398e-14 y[1] (closed_form) = -1.496025525682398e-14 y[1] (numeric) = -1.517536096784511e-14 absolute error = 2.151057110211241e-16 relative error = 1.437847866419295 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -1.503658308976696e-14 y[1] (closed_form) = -1.503658308976696e-14 y[1] (numeric) = -1.525168880078808e-14 absolute error = 2.151057110211241e-16 relative error = 1.430549146285187 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.511291092270994e-14 y[1] (closed_form) = -1.511291092270994e-14 y[1] (numeric) = -1.532801663373106e-14 absolute error = 2.151057110211241e-16 relative error = 1.423324150596878 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -1.518923875565292e-14 y[1] (closed_form) = -1.518923875565292e-14 y[1] (numeric) = -1.540434446667404e-14 absolute error = 2.151057110211241e-16 relative error = 1.416171767930562 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.52655665885959e-14 y[1] (closed_form) = -1.52655665885959e-14 y[1] (numeric) = -1.548067229961702e-14 absolute error = 2.151057110211241e-16 relative error = 1.409090909090909 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.534189442153888e-14 y[1] (closed_form) = -1.534189442153888e-14 y[1] (numeric) = -1.555700013256e-14 absolute error = 2.151057110211241e-16 relative error = 1.402080506558119 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.541822225448186e-14 y[1] (closed_form) = -1.541822225448186e-14 y[1] (numeric) = -1.563332796550298e-14 absolute error = 2.151057110211241e-16 relative error = 1.395139513951395 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -1.549455008742484e-14 y[1] (closed_form) = -1.549455008742484e-14 y[1] (numeric) = -1.570965579844596e-14 absolute error = 2.151057110211241e-16 relative error = 1.388266905508285 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -1.557087792036782e-14 y[1] (closed_form) = -1.557087792036782e-14 y[1] (numeric) = -1.578598363138894e-14 absolute error = 2.151057110211241e-16 relative error = 1.381461675579323 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -1.56472057533108e-14 y[1] (closed_form) = -1.56472057533108e-14 y[1] (numeric) = -1.586231146433192e-14 absolute error = 2.151057110211241e-16 relative error = 1.374722838137473 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.572353358625378e-14 y[1] (closed_form) = -1.572353358625378e-14 y[1] (numeric) = -1.59386392972749e-14 absolute error = 2.151057110211241e-16 relative error = 1.368049426301854 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.579986141919676e-14 y[1] (closed_form) = -1.579986141919676e-14 y[1] (numeric) = -1.601496713021788e-14 absolute error = 2.151057110211241e-16 relative error = 1.361440491875275 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.587618925213974e-14 y[1] (closed_form) = -1.587618925213974e-14 y[1] (numeric) = -1.609129496316086e-14 absolute error = 2.151057110211241e-16 relative error = 1.354895104895105 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -1.595251708508271e-14 y[1] (closed_form) = -1.595251708508271e-14 y[1] (numeric) = -1.616762279610384e-14 absolute error = 2.151057110211241e-16 relative error = 1.348412353197042 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.602884491802569e-14 y[1] (closed_form) = -1.602884491802569e-14 y[1] (numeric) = -1.624395062904682e-14 absolute error = 2.151057110211241e-16 relative error = 1.341991341991342 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-15 TOP MAIN SOLVE Loop x[1] = -1.610517275096867e-14 y[1] (closed_form) = -1.610517275096867e-14 y[1] (numeric) = -1.63202784619898e-14 absolute error = 2.151057110211241e-16 relative error = 1.335631193451099 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -1.618150058391165e-14 y[1] (closed_form) = -1.618150058391165e-14 y[1] (numeric) = -1.639660629493278e-14 absolute error = 2.151057110211241e-16 relative error = 1.329331046312179 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -1.625782841685463e-14 y[1] (closed_form) = -1.625782841685463e-14 y[1] (numeric) = -1.647293412787576e-14 absolute error = 2.151057110211241e-16 relative error = 1.323090055484422 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.633415624979761e-14 y[1] (closed_form) = -1.633415624979761e-14 y[1] (numeric) = -1.654926196081874e-14 absolute error = 2.151057110211241e-16 relative error = 1.316907391673747 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -1.641048408274059e-14 y[1] (closed_form) = -1.641048408274059e-14 y[1] (numeric) = -1.662558979376172e-14 absolute error = 2.151057110211241e-16 relative error = 1.310782241014799 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.648681191568357e-14 y[1] (closed_form) = -1.648681191568357e-14 y[1] (numeric) = -1.67019176267047e-14 absolute error = 2.151057110211241e-16 relative error = 1.304713804713805 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -1.656313974862655e-14 y[1] (closed_form) = -1.656313974862655e-14 y[1] (numeric) = -1.677824545964768e-14 absolute error = 2.151057110211241e-16 relative error = 1.298701298701299 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.663946758156953e-14 y[1] (closed_form) = -1.663946758156953e-14 y[1] (numeric) = -1.685457329259065e-14 absolute error = 2.151057110211241e-16 relative error = 1.292743953294412 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.671579541451251e-14 y[1] (closed_form) = -1.671579541451251e-14 y[1] (numeric) = -1.693090112553363e-14 absolute error = 2.151057110211241e-16 relative error = 1.28684101286841 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.679212324745549e-14 y[1] (closed_form) = -1.679212324745549e-14 y[1] (numeric) = -1.700722895847661e-14 absolute error = 2.151057110211241e-16 relative error = 1.28099173553719 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -1.686845108039847e-14 y[1] (closed_form) = -1.686845108039847e-14 y[1] (numeric) = -1.708355679141959e-14 absolute error = 2.151057110211241e-16 relative error = 1.275195392842452 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.694477891334145e-14 y[1] (closed_form) = -1.694477891334145e-14 y[1] (numeric) = -1.715988462436257e-14 absolute error = 2.151057110211241e-16 relative error = 1.26945126945127 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -1.702110674628443e-14 y[1] (closed_form) = -1.702110674628443e-14 y[1] (numeric) = -1.723621245730555e-14 absolute error = 2.151057110211241e-16 relative error = 1.263758662861802 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -1.709743457922741e-14 y[1] (closed_form) = -1.709743457922741e-14 y[1] (numeric) = -1.731254029024853e-14 absolute error = 2.151057110211241e-16 relative error = 1.258116883116883 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.717376241217039e-14 y[1] (closed_form) = -1.717376241217039e-14 y[1] (numeric) = -1.738886812319151e-14 absolute error = 2.151057110211241e-16 relative error = 1.252525252525253 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.725009024511337e-14 y[1] (closed_form) = -1.725009024511337e-14 y[1] (numeric) = -1.746519595613449e-14 absolute error = 2.151057110211241e-16 relative error = 1.246983105390185 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.732641807805635e-14 y[1] (closed_form) = -1.732641807805635e-14 y[1] (numeric) = -1.754152378907747e-14 absolute error = 2.151057110211241e-16 relative error = 1.241489787745295 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.740274591099933e-14 y[1] (closed_form) = -1.740274591099933e-14 y[1] (numeric) = -1.761785162202045e-14 absolute error = 2.151057110211241e-16 relative error = 1.236044657097289 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.747907374394231e-14 y[1] (closed_form) = -1.747907374394231e-14 y[1] (numeric) = -1.769417945496343e-14 absolute error = 2.151057110211241e-16 relative error = 1.230647082175467 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.755540157688528e-14 y[1] (closed_form) = -1.755540157688528e-14 y[1] (numeric) = -1.777050728790641e-14 absolute error = 2.151057110211241e-16 relative error = 1.225296442687747 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -1.763172940982826e-14 y[1] (closed_form) = -1.763172940982826e-14 y[1] (numeric) = -1.784683512084939e-14 absolute error = 2.151057110211241e-16 relative error = 1.219992129083038 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -1.770805724277124e-14 y[1] (closed_form) = -1.770805724277124e-14 y[1] (numeric) = -1.792316295379237e-14 absolute error = 2.151057110211241e-16 relative error = 1.214733542319749 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.778438507571422e-14 y[1] (closed_form) = -1.778438507571422e-14 y[1] (numeric) = -1.799949078673535e-14 absolute error = 2.151057110211241e-16 relative error = 1.209520093640265 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.78607129086572e-14 y[1] (closed_form) = -1.78607129086572e-14 y[1] (numeric) = -1.807581861967833e-14 absolute error = 2.151057110211241e-16 relative error = 1.204351204351205 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.793704074160018e-14 y[1] (closed_form) = -1.793704074160018e-14 y[1] (numeric) = -1.815214645262131e-14 absolute error = 2.151057110211241e-16 relative error = 1.199226305609284 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.801336857454316e-14 y[1] (closed_form) = -1.801336857454316e-14 y[1] (numeric) = -1.822847428556429e-14 absolute error = 2.151057110211241e-16 relative error = 1.194144838212635 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -1.808969640748614e-14 y[1] (closed_form) = -1.808969640748614e-14 y[1] (numeric) = -1.830480211850727e-14 absolute error = 2.151057110211241e-16 relative error = 1.189106252397392 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.421e-14 TOP MAIN SOLVE Loop x[1] = -1.816602424042912e-14 y[1] (closed_form) = -1.816602424042912e-14 y[1] (numeric) = -1.838112995145024e-14 absolute error = 2.151057110211241e-16 relative error = 1.18411000763942 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.82423520733721e-14 y[1] (closed_form) = -1.82423520733721e-14 y[1] (numeric) = -1.845745778439322e-14 absolute error = 2.151057110211241e-16 relative error = 1.179155572461012 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.831867990631508e-14 y[1] (closed_form) = -1.831867990631508e-14 y[1] (numeric) = -1.85337856173362e-14 absolute error = 2.151057110211241e-16 relative error = 1.174242424242425 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.839500773925806e-14 y[1] (closed_form) = -1.839500773925806e-14 y[1] (numeric) = -1.861011345027918e-14 absolute error = 2.151057110211241e-16 relative error = 1.169370049038099 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.847133557220104e-14 y[1] (closed_form) = -1.847133557220104e-14 y[1] (numeric) = -1.868644128322216e-14 absolute error = 2.151057110211241e-16 relative error = 1.164537941397446 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.854766340514402e-14 y[1] (closed_form) = -1.854766340514402e-14 y[1] (numeric) = -1.876276911616514e-14 absolute error = 2.151057110211241e-16 relative error = 1.159745604190049 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -1.8623991238087e-14 y[1] (closed_form) = -1.8623991238087e-14 y[1] (numeric) = -1.883909694910812e-14 absolute error = 2.151057110211241e-16 relative error = 1.154992548435172 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.870031907102998e-14 y[1] (closed_form) = -1.870031907102998e-14 y[1] (numeric) = -1.89154247820511e-14 absolute error = 2.151057110211241e-16 relative error = 1.150278293135436 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -1.877664690397296e-14 y[1] (closed_form) = -1.877664690397296e-14 y[1] (numeric) = -1.899175261499408e-14 absolute error = 2.151057110211241e-16 relative error = 1.14560236511456 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.885297473691594e-14 y[1] (closed_form) = -1.885297473691594e-14 y[1] (numeric) = -1.906808044793706e-14 absolute error = 2.151057110211241e-16 relative error = 1.140964298859036 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -1.892930256985892e-14 y[1] (closed_form) = -1.892930256985892e-14 y[1] (numeric) = -1.914440828088004e-14 absolute error = 2.151057110211241e-16 relative error = 1.136363636363636 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.90056304028019e-14 y[1] (closed_form) = -1.90056304028019e-14 y[1] (numeric) = -1.922073611382302e-14 absolute error = 2.151057110211241e-16 relative error = 1.13179992698065 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.908195823574487e-14 y[1] (closed_form) = -1.908195823574487e-14 y[1] (numeric) = -1.9297063946766e-14 absolute error = 2.151057110211241e-16 relative error = 1.127272727272727 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.915828606868785e-14 y[1] (closed_form) = -1.915828606868785e-14 y[1] (numeric) = -1.937339177970898e-14 absolute error = 2.151057110211241e-16 relative error = 1.12278160086925 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.923461390163083e-14 y[1] (closed_form) = -1.923461390163083e-14 y[1] (numeric) = -1.944971961265196e-14 absolute error = 2.151057110211241e-16 relative error = 1.118326118326119 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.931094173457381e-14 y[1] (closed_form) = -1.931094173457381e-14 y[1] (numeric) = -1.952604744559494e-14 absolute error = 2.151057110211241e-16 relative error = 1.113905856988861 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.938726956751679e-14 y[1] (closed_form) = -1.938726956751679e-14 y[1] (numeric) = -1.960237527853792e-14 absolute error = 2.151057110211241e-16 relative error = 1.109520400858984 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.946359740045977e-14 y[1] (closed_form) = -1.946359740045977e-14 y[1] (numeric) = -1.96787031114809e-14 absolute error = 2.151057110211241e-16 relative error = 1.105169340463458 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.421e-14 TOP MAIN SOLVE Loop x[1] = -1.953992523340275e-14 y[1] (closed_form) = -1.953992523340275e-14 y[1] (numeric) = -1.975503094442388e-14 absolute error = 2.151057110211241e-16 relative error = 1.100852272727273 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.961625306634573e-14 y[1] (closed_form) = -1.961625306634573e-14 y[1] (numeric) = -1.983135877736686e-14 absolute error = 2.151057110211241e-16 relative error = 1.096568800848957 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -1.969258089928871e-14 y[1] (closed_form) = -1.969258089928871e-14 y[1] (numeric) = -1.990768661030984e-14 absolute error = 2.151057110211241e-16 relative error = 1.092318534178999 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -1.976890873223169e-14 y[1] (closed_form) = -1.976890873223169e-14 y[1] (numeric) = -1.998401444325281e-14 absolute error = 2.151057110211241e-16 relative error = 1.088101088101088 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -1.984523656517467e-14 y[1] (closed_form) = -1.984523656517467e-14 y[1] (numeric) = -2.006034227619579e-14 absolute error = 2.151057110211241e-16 relative error = 1.083916083916084 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -1.992156439811765e-14 y[1] (closed_form) = -1.992156439811765e-14 y[1] (numeric) = -2.013667010913877e-14 absolute error = 2.151057110211241e-16 relative error = 1.079763148728666 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -1.999789223106063e-14 y[1] (closed_form) = -1.999789223106063e-14 y[1] (numeric) = -2.021299794208175e-14 absolute error = 2.151057110211241e-16 relative error = 1.075641915336572 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.007422006400361e-14 y[1] (closed_form) = -2.007422006400361e-14 y[1] (numeric) = -2.028932577502473e-14 absolute error = 2.151057110211241e-16 relative error = 1.071552022122364 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -2.015054789694659e-14 y[1] (closed_form) = -2.015054789694659e-14 y[1] (numeric) = -2.036565360796771e-14 absolute error = 2.151057110211241e-16 relative error = 1.067493112947659 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.022687572988957e-14 y[1] (closed_form) = -2.022687572988957e-14 y[1] (numeric) = -2.044198144091069e-14 absolute error = 2.151057110211241e-16 relative error = 1.063464837049743 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.030320356283255e-14 y[1] (closed_form) = -2.030320356283255e-14 y[1] (numeric) = -2.051830927385367e-14 absolute error = 2.151057110211241e-16 relative error = 1.059466848940533 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.037953139577553e-14 y[1] (closed_form) = -2.037953139577553e-14 y[1] (numeric) = -2.059463710679665e-14 absolute error = 2.151057110211241e-16 relative error = 1.055498808307797 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.045585922871851e-14 y[1] (closed_form) = -2.045585922871851e-14 y[1] (numeric) = -2.067096493973963e-14 absolute error = 2.151057110211241e-16 relative error = 1.051560379918589 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.053218706166149e-14 y[1] (closed_form) = -2.053218706166149e-14 y[1] (numeric) = -2.074729277268261e-14 absolute error = 2.151057110211241e-16 relative error = 1.04765123352484 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -2.060851489460447e-14 y[1] (closed_form) = -2.060851489460447e-14 y[1] (numeric) = -2.082362060562559e-14 absolute error = 2.151057110211241e-16 relative error = 1.043771043771044 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.068484272754744e-14 y[1] (closed_form) = -2.068484272754744e-14 y[1] (numeric) = -2.089994843856857e-14 absolute error = 2.151057110211241e-16 relative error = 1.039919490103992 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -2.076117056049042e-14 y[1] (closed_form) = -2.076117056049042e-14 y[1] (numeric) = -2.097627627151155e-14 absolute error = 2.151057110211241e-16 relative error = 1.036096256684492 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.08374983934334e-14 y[1] (closed_form) = -2.08374983934334e-14 y[1] (numeric) = -2.105260410445453e-14 absolute error = 2.151057110211241e-16 relative error = 1.032301032301032 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.091382622637638e-14 y[1] (closed_form) = -2.091382622637638e-14 y[1] (numeric) = -2.112893193739751e-14 absolute error = 2.151057110211241e-16 relative error = 1.028533510285335 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.099015405931936e-14 y[1] (closed_form) = -2.099015405931936e-14 y[1] (numeric) = -2.120525977034049e-14 absolute error = 2.151057110211241e-16 relative error = 1.024793388429752 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.106648189226234e-14 y[1] (closed_form) = -2.106648189226234e-14 y[1] (numeric) = -2.128158760328347e-14 absolute error = 2.151057110211241e-16 relative error = 1.021080368906456 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.114280972520532e-14 y[1] (closed_form) = -2.114280972520532e-14 y[1] (numeric) = -2.135791543622645e-14 absolute error = 2.151057110211241e-16 relative error = 1.017394158188382 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.12191375581483e-14 y[1] (closed_form) = -2.12191375581483e-14 y[1] (numeric) = -2.143424326916943e-14 absolute error = 2.151057110211241e-16 relative error = 1.013734466971877 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.129546539109128e-14 y[1] (closed_form) = -2.129546539109128e-14 y[1] (numeric) = -2.15105711021124e-14 absolute error = 2.151057110211241e-16 relative error = 1.01010101010101 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.137179322403426e-14 y[1] (closed_form) = -2.137179322403426e-14 y[1] (numeric) = -2.158689893505538e-14 absolute error = 2.151057110211241e-16 relative error = 1.006493506493507 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.144812105697724e-14 y[1] (closed_form) = -2.144812105697724e-14 y[1] (numeric) = -2.166322676799836e-14 absolute error = 2.151057110211241e-16 relative error = 1.002911679068263 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -2.152444888992022e-14 y[1] (closed_form) = -2.152444888992022e-14 y[1] (numeric) = -2.173955460094134e-14 absolute error = 2.151057110211241e-16 relative error = 0.9993552546744038 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.16007767228632e-14 y[1] (closed_form) = -2.16007767228632e-14 y[1] (numeric) = -2.181588243388432e-14 absolute error = 2.151057110211241e-16 relative error = 0.995823964021844 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.167710455580618e-14 y[1] (closed_form) = -2.167710455580618e-14 y[1] (numeric) = -2.18922102668273e-14 absolute error = 2.151057110211241e-16 relative error = 0.9923175416133164 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.175343238874916e-14 y[1] (closed_form) = -2.175343238874916e-14 y[1] (numeric) = -2.196853809977028e-14 absolute error = 2.151057110211241e-16 relative error = 0.9888357256778311 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -2.182976022169214e-14 y[1] (closed_form) = -2.182976022169214e-14 y[1] (numeric) = -2.204486593271326e-14 absolute error = 2.151057110211241e-16 relative error = 0.9853782581055309 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.190608805463512e-14 y[1] (closed_form) = -2.190608805463512e-14 y[1] (numeric) = -2.212119376565624e-14 absolute error = 2.151057110211241e-16 relative error = 0.9819448843839089 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.19824158875781e-14 y[1] (closed_form) = -2.19824158875781e-14 y[1] (numeric) = -2.219752159859922e-14 absolute error = 2.151057110211241e-16 relative error = 0.9785353535353537 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.205874372052108e-14 y[1] (closed_form) = -2.205874372052108e-14 y[1] (numeric) = -2.22738494315422e-14 absolute error = 2.151057110211241e-16 relative error = 0.9751494180559926 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.213507155346406e-14 y[1] (closed_form) = -2.213507155346406e-14 y[1] (numeric) = -2.235017726448518e-14 absolute error = 2.151057110211241e-16 relative error = 0.9717868338557996 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.221139938640703e-14 y[1] (closed_form) = -2.221139938640703e-14 y[1] (numeric) = -2.242650509742816e-14 absolute error = 2.151057110211241e-16 relative error = 0.9684473601999377 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.228772721935001e-14 y[1] (closed_form) = -2.228772721935001e-14 y[1] (numeric) = -2.250283293037114e-14 absolute error = 2.151057110211241e-16 relative error = 0.9651307596513077 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -2.236405505229299e-14 y[1] (closed_form) = -2.236405505229299e-14 y[1] (numeric) = -2.257916076331412e-14 absolute error = 2.151057110211241e-16 relative error = 0.9618367980142726 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.244038288523597e-14 y[1] (closed_form) = -2.244038288523597e-14 y[1] (numeric) = -2.26554885962571e-14 absolute error = 2.151057110211241e-16 relative error = 0.9585652442795302 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.251671071817895e-14 y[1] (closed_form) = -2.251671071817895e-14 y[1] (numeric) = -2.273181642920008e-14 absolute error = 2.151057110211241e-16 relative error = 0.955315870570108 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.259303855112193e-14 y[1] (closed_form) = -2.259303855112193e-14 y[1] (numeric) = -2.280814426214306e-14 absolute error = 2.151057110211241e-16 relative error = 0.9520884520884523 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.266936638406491e-14 y[1] (closed_form) = -2.266936638406491e-14 y[1] (numeric) = -2.288447209508604e-14 absolute error = 2.151057110211241e-16 relative error = 0.9488827670645854 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.274569421700789e-14 y[1] (closed_form) = -2.274569421700789e-14 y[1] (numeric) = -2.296079992802902e-14 absolute error = 2.151057110211241e-16 relative error = 0.9456985967053082 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.282202204995087e-14 y[1] (closed_form) = -2.282202204995087e-14 y[1] (numeric) = -2.3037127760972e-14 absolute error = 2.151057110211241e-16 relative error = 0.942535725144421 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.289834988289385e-14 y[1] (closed_form) = -2.289834988289385e-14 y[1] (numeric) = -2.311345559391497e-14 absolute error = 2.151057110211241e-16 relative error = 0.9393939393939396 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.297467771583683e-14 y[1] (closed_form) = -2.297467771583683e-14 y[1] (numeric) = -2.318978342685795e-14 absolute error = 2.151057110211241e-16 relative error = 0.9362730292962852 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -2.305100554877981e-14 y[1] (closed_form) = -2.305100554877981e-14 y[1] (numeric) = -2.326611125980093e-14 absolute error = 2.151057110211241e-16 relative error = 0.9331727874774234 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.312733338172279e-14 y[1] (closed_form) = -2.312733338172279e-14 y[1] (numeric) = -2.334243909274391e-14 absolute error = 2.151057110211241e-16 relative error = 0.9300930093009302 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -2.320366121466577e-14 y[1] (closed_form) = -2.320366121466577e-14 y[1] (numeric) = -2.341876692568689e-14 absolute error = 2.151057110211241e-16 relative error = 0.9270334928229667 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.327998904760875e-14 y[1] (closed_form) = -2.327998904760875e-14 y[1] (numeric) = -2.349509475862987e-14 absolute error = 2.151057110211241e-16 relative error = 0.9239940387481372 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.335631688055173e-14 y[1] (closed_form) = -2.335631688055173e-14 y[1] (numeric) = -2.357142259157285e-14 absolute error = 2.151057110211241e-16 relative error = 0.9209744503862152 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.343264471349471e-14 y[1] (closed_form) = -2.343264471349471e-14 y[1] (numeric) = -2.364775042451583e-14 absolute error = 2.151057110211241e-16 relative error = 0.9179745336097129 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.350897254643769e-14 y[1] (closed_form) = -2.350897254643769e-14 y[1] (numeric) = -2.372407825745881e-14 absolute error = 2.151057110211241e-16 relative error = 0.9149940968122787 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.358530037938067e-14 y[1] (closed_form) = -2.358530037938067e-14 y[1] (numeric) = -2.380040609040179e-14 absolute error = 2.151057110211241e-16 relative error = 0.9120329508679025 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.366162821232365e-14 y[1] (closed_form) = -2.366162821232365e-14 y[1] (numeric) = -2.387673392334477e-14 absolute error = 2.151057110211241e-16 relative error = 0.9090909090909092 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-15 TOP MAIN SOLVE Loop x[1] = -2.373795604526663e-14 y[1] (closed_form) = -2.373795604526663e-14 y[1] (numeric) = -2.395306175628775e-14 absolute error = 2.151057110211241e-16 relative error = 0.9061677871967262 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.38142838782096e-14 y[1] (closed_form) = -2.38142838782096e-14 y[1] (numeric) = -2.402938958923073e-14 absolute error = 2.151057110211241e-16 relative error = 0.9032634032634034 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.389061171115258e-14 y[1] (closed_form) = -2.389061171115258e-14 y[1] (numeric) = -2.410571742217371e-14 absolute error = 2.151057110211241e-16 relative error = 0.9003775776938717 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.396693954409556e-14 y[1] (closed_form) = -2.396693954409556e-14 y[1] (numeric) = -2.418204525511669e-14 absolute error = 2.151057110211241e-16 relative error = 0.8975101331789231 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.404326737703854e-14 y[1] (closed_form) = -2.404326737703854e-14 y[1] (numeric) = -2.425837308805967e-14 absolute error = 2.151057110211241e-16 relative error = 0.8946608946608948 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -2.411959520998152e-14 y[1] (closed_form) = -2.411959520998152e-14 y[1] (numeric) = -2.433470092100265e-14 absolute error = 2.151057110211241e-16 relative error = 0.8918296892980438 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -2.41959230429245e-14 y[1] (closed_form) = -2.41959230429245e-14 y[1] (numeric) = -2.441102875394563e-14 absolute error = 2.151057110211241e-16 relative error = 0.8890163464295957 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -2.427225087586748e-14 y[1] (closed_form) = -2.427225087586748e-14 y[1] (numeric) = -2.448735658688861e-14 absolute error = 2.151057110211241e-16 relative error = 0.8862206975414524 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.434857870881046e-14 y[1] (closed_form) = -2.434857870881046e-14 y[1] (numeric) = -2.456368441983159e-14 absolute error = 2.151057110211241e-16 relative error = 0.883442576232545 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.442490654175344e-14 y[1] (closed_form) = -2.442490654175344e-14 y[1] (numeric) = -2.464001225277456e-14 absolute error = 2.151057110211241e-16 relative error = 0.8806818181818183 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -2.450123437469642e-14 y[1] (closed_form) = -2.450123437469642e-14 y[1] (numeric) = -2.471634008571754e-14 absolute error = 2.151057110211241e-16 relative error = 0.8779382611158313 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.45775622076394e-14 y[1] (closed_form) = -2.45775622076394e-14 y[1] (numeric) = -2.479266791866052e-14 absolute error = 2.151057110211241e-16 relative error = 0.8752117447769623 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.465389004058238e-14 y[1] (closed_form) = -2.465389004058238e-14 y[1] (numeric) = -2.48689957516035e-14 absolute error = 2.151057110211241e-16 relative error = 0.8725021108922039 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.473021787352536e-14 y[1] (closed_form) = -2.473021787352536e-14 y[1] (numeric) = -2.494532358454648e-14 absolute error = 2.151057110211241e-16 relative error = 0.8698092031425366 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.480654570646834e-14 y[1] (closed_form) = -2.480654570646834e-14 y[1] (numeric) = -2.502165141748946e-14 absolute error = 2.151057110211241e-16 relative error = 0.8671328671328672 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.488287353941132e-14 y[1] (closed_form) = -2.488287353941132e-14 y[1] (numeric) = -2.509797925043244e-14 absolute error = 2.151057110211241e-16 relative error = 0.864472950362521 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.49592013723543e-14 y[1] (closed_form) = -2.49592013723543e-14 y[1] (numeric) = -2.517430708337542e-14 absolute error = 2.151057110211241e-16 relative error = 0.8618293021962747 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.503552920529728e-14 y[1] (closed_form) = -2.503552920529728e-14 y[1] (numeric) = -2.52506349163184e-14 absolute error = 2.151057110211241e-16 relative error = 0.8592017738359203 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.511185703824026e-14 y[1] (closed_form) = -2.511185703824026e-14 y[1] (numeric) = -2.532696274926138e-14 absolute error = 2.151057110211241e-16 relative error = 0.8565902182923461 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.518818487118324e-14 y[1] (closed_form) = -2.518818487118324e-14 y[1] (numeric) = -2.540329058220436e-14 absolute error = 2.151057110211241e-16 relative error = 0.8539944903581268 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -2.526451270412622e-14 y[1] (closed_form) = -2.526451270412622e-14 y[1] (numeric) = -2.547961841514734e-14 absolute error = 2.151057110211241e-16 relative error = 0.8514144465806098 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.534084053706919e-14 y[1] (closed_form) = -2.534084053706919e-14 y[1] (numeric) = -2.555594624809032e-14 absolute error = 2.151057110211241e-16 relative error = 0.8488499452354875 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.541716837001217e-14 y[1] (closed_form) = -2.541716837001217e-14 y[1] (numeric) = -2.56322740810333e-14 absolute error = 2.151057110211241e-16 relative error = 0.8463008463008465 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.549349620295515e-14 y[1] (closed_form) = -2.549349620295515e-14 y[1] (numeric) = -2.570860191397628e-14 absolute error = 2.151057110211241e-16 relative error = 0.8437670114316822 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.556982403589813e-14 y[1] (closed_form) = -2.556982403589813e-14 y[1] (numeric) = -2.578492974691926e-14 absolute error = 2.151057110211241e-16 relative error = 0.8412483039348712 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.564615186884111e-14 y[1] (closed_form) = -2.564615186884111e-14 y[1] (numeric) = -2.586125757986224e-14 absolute error = 2.151057110211241e-16 relative error = 0.8387445887445888 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.572247970178409e-14 y[1] (closed_form) = -2.572247970178409e-14 y[1] (numeric) = -2.593758541280522e-14 absolute error = 2.151057110211241e-16 relative error = 0.8362557323981658 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.579880753472707e-14 y[1] (closed_form) = -2.579880753472707e-14 y[1] (numeric) = -2.60139132457482e-14 absolute error = 2.151057110211241e-16 relative error = 0.8337816030123724 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.587513536767005e-14 y[1] (closed_form) = -2.587513536767005e-14 y[1] (numeric) = -2.609024107869118e-14 absolute error = 2.151057110211241e-16 relative error = 0.8313220702601235 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.595146320061303e-14 y[1] (closed_form) = -2.595146320061303e-14 y[1] (numeric) = -2.616656891163416e-14 absolute error = 2.151057110211241e-16 relative error = 0.8288770053475937 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.602779103355601e-14 y[1] (closed_form) = -2.602779103355601e-14 y[1] (numeric) = -2.624289674457713e-14 absolute error = 2.151057110211241e-16 relative error = 0.8264462809917357 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.610411886649899e-14 y[1] (closed_form) = -2.610411886649899e-14 y[1] (numeric) = -2.631922457752011e-14 absolute error = 2.151057110211241e-16 relative error = 0.8240297713981926 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.618044669944197e-14 y[1] (closed_form) = -2.618044669944197e-14 y[1] (numeric) = -2.639555241046309e-14 absolute error = 2.151057110211241e-16 relative error = 0.8216273522395973 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.625677453238495e-14 y[1] (closed_form) = -2.625677453238495e-14 y[1] (numeric) = -2.647188024340607e-14 absolute error = 2.151057110211241e-16 relative error = 0.8192389006342495 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.633310236532793e-14 y[1] (closed_form) = -2.633310236532793e-14 y[1] (numeric) = -2.654820807634905e-14 absolute error = 2.151057110211241e-16 relative error = 0.8168642951251648 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.640943019827091e-14 y[1] (closed_form) = -2.640943019827091e-14 y[1] (numeric) = -2.662453590929203e-14 absolute error = 2.151057110211241e-16 relative error = 0.8145034156594851 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -2.648575803121389e-14 y[1] (closed_form) = -2.648575803121389e-14 y[1] (numeric) = -2.670086374223501e-14 absolute error = 2.151057110211241e-16 relative error = 0.8121561435682474 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -2.656208586415687e-14 y[1] (closed_form) = -2.656208586415687e-14 y[1] (numeric) = -2.677719157517799e-14 absolute error = 2.151057110211241e-16 relative error = 0.8098223615464996 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.663841369709985e-14 y[1] (closed_form) = -2.663841369709985e-14 y[1] (numeric) = -2.685351940812097e-14 absolute error = 2.151057110211241e-16 relative error = 0.8075019536337589 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -2.671474153004283e-14 y[1] (closed_form) = -2.671474153004283e-14 y[1] (numeric) = -2.692984724106395e-14 absolute error = 2.151057110211241e-16 relative error = 0.8051948051948052 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.679106936298581e-14 y[1] (closed_form) = -2.679106936298581e-14 y[1] (numeric) = -2.700617507400693e-14 absolute error = 2.151057110211241e-16 relative error = 0.802900802900803 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.686739719592879e-14 y[1] (closed_form) = -2.686739719592879e-14 y[1] (numeric) = -2.708250290694991e-14 absolute error = 2.151057110211241e-16 relative error = 0.8006198347107439 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.694372502887176e-14 y[1] (closed_form) = -2.694372502887176e-14 y[1] (numeric) = -2.715883073989289e-14 absolute error = 2.151057110211241e-16 relative error = 0.7983517898532064 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.702005286181474e-14 y[1] (closed_form) = -2.702005286181474e-14 y[1] (numeric) = -2.723515857283587e-14 absolute error = 2.151057110211241e-16 relative error = 0.7960965588084233 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.709638069475772e-14 y[1] (closed_form) = -2.709638069475772e-14 y[1] (numeric) = -2.731148640577885e-14 absolute error = 2.151057110211241e-16 relative error = 0.7938540332906531 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.71727085277007e-14 y[1] (closed_form) = -2.71727085277007e-14 y[1] (numeric) = -2.738781423872183e-14 absolute error = 2.151057110211241e-16 relative error = 0.7916241062308479 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.724903636064368e-14 y[1] (closed_form) = -2.724903636064368e-14 y[1] (numeric) = -2.746414207166481e-14 absolute error = 2.151057110211241e-16 relative error = 0.789406671759613 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -2.732536419358666e-14 y[1] (closed_form) = -2.732536419358666e-14 y[1] (numeric) = -2.754046990460779e-14 absolute error = 2.151057110211241e-16 relative error = 0.7872016251904521 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.740169202652964e-14 y[1] (closed_form) = -2.740169202652964e-14 y[1] (numeric) = -2.761679773755077e-14 absolute error = 2.151057110211241e-16 relative error = 0.7850088630032921 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.747801985947262e-14 y[1] (closed_form) = -2.747801985947262e-14 y[1] (numeric) = -2.769312557049375e-14 absolute error = 2.151057110211241e-16 relative error = 0.7828282828282829 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -2.75543476924156e-14 y[1] (closed_form) = -2.75543476924156e-14 y[1] (numeric) = -2.776945340343672e-14 absolute error = 2.151057110211241e-16 relative error = 0.7806597834298666 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -2.763067552535858e-14 y[1] (closed_form) = -2.763067552535858e-14 y[1] (numeric) = -2.78457812363797e-14 absolute error = 2.151057110211241e-16 relative error = 0.7785032646911101 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.770700335830156e-14 y[1] (closed_form) = -2.770700335830156e-14 y[1] (numeric) = -2.792210906932268e-14 absolute error = 2.151057110211241e-16 relative error = 0.7763586275982971 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -2.778333119124454e-14 y[1] (closed_form) = -2.778333119124454e-14 y[1] (numeric) = -2.799843690226566e-14 absolute error = 2.151057110211241e-16 relative error = 0.7742257742257743 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.785965902418752e-14 y[1] (closed_form) = -2.785965902418752e-14 y[1] (numeric) = -2.807476473520864e-14 absolute error = 2.151057110211241e-16 relative error = 0.7721046077210462 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.79359868571305e-14 y[1] (closed_form) = -2.79359868571305e-14 y[1] (numeric) = -2.815109256815162e-14 absolute error = 2.151057110211241e-16 relative error = 0.7699950322901143 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.801231469007348e-14 y[1] (closed_form) = -2.801231469007348e-14 y[1] (numeric) = -2.82274204010946e-14 absolute error = 2.151057110211241e-16 relative error = 0.7678969531830568 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -2.808864252301646e-14 y[1] (closed_form) = -2.808864252301646e-14 y[1] (numeric) = -2.830374823403758e-14 absolute error = 2.151057110211241e-16 relative error = 0.765810276679842 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -2.816497035595944e-14 y[1] (closed_form) = -2.816497035595944e-14 y[1] (numeric) = -2.838007606698056e-14 absolute error = 2.151057110211241e-16 relative error = 0.7637349100763736 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.824129818890242e-14 y[1] (closed_form) = -2.824129818890242e-14 y[1] (numeric) = -2.845640389992354e-14 absolute error = 2.151057110211209e-16 relative error = 0.7616707616707505 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.83176260218454e-14 y[1] (closed_form) = -2.83176260218454e-14 y[1] (numeric) = -2.853273173286652e-14 absolute error = 2.151057110211209e-16 relative error = 0.7596177407498051 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -2.839395385478838e-14 y[1] (closed_form) = -2.839395385478838e-14 y[1] (numeric) = -2.86090595658095e-14 absolute error = 2.151057110211209e-16 relative error = 0.7575757575757466 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -2.847028168773135e-14 y[1] (closed_form) = -2.847028168773135e-14 y[1] (numeric) = -2.868538739875248e-14 absolute error = 2.151057110211241e-16 relative error = 0.7555447233731418 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.854660952067433e-14 y[1] (closed_form) = -2.854660952067433e-14 y[1] (numeric) = -2.876171523169546e-14 absolute error = 2.151057110211241e-16 relative error = 0.7535245503159943 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.862293735361731e-14 y[1] (closed_form) = -2.862293735361731e-14 y[1] (numeric) = -2.883804306463843e-14 absolute error = 2.151057110211241e-16 relative error = 0.7515151515151517 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.869926518656029e-14 y[1] (closed_form) = -2.869926518656029e-14 y[1] (numeric) = -2.891437089758141e-14 absolute error = 2.151057110211241e-16 relative error = 0.7495164410058028 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.877559301950327e-14 y[1] (closed_form) = -2.877559301950327e-14 y[1] (numeric) = -2.899069873052439e-14 absolute error = 2.151057110211241e-16 relative error = 0.7475283337352304 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.421e-14 TOP MAIN SOLVE Loop x[1] = -2.885192085244625e-14 y[1] (closed_form) = -2.885192085244625e-14 y[1] (numeric) = -2.906702656346737e-14 absolute error = 2.151057110211241e-16 relative error = 0.7455507455507457 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.892824868538923e-14 y[1] (closed_form) = -2.892824868538923e-14 y[1] (numeric) = -2.914335439641035e-14 absolute error = 2.151057110211241e-16 relative error = 0.743583593187815 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -2.900457651833221e-14 y[1] (closed_form) = -2.900457651833221e-14 y[1] (numeric) = -2.921968222935333e-14 absolute error = 2.151057110211241e-16 relative error = 0.7416267942583734 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -2.908090435127519e-14 y[1] (closed_form) = -2.908090435127519e-14 y[1] (numeric) = -2.929601006229631e-14 absolute error = 2.151057110211241e-16 relative error = 0.7396802672393226 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.915723218421817e-14 y[1] (closed_form) = -2.915723218421817e-14 y[1] (numeric) = -2.937233789523929e-14 absolute error = 2.151057110211241e-16 relative error = 0.7377439314612091 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -2.923356001716115e-14 y[1] (closed_form) = -2.923356001716115e-14 y[1] (numeric) = -2.944866572818227e-14 absolute error = 2.151057110211241e-16 relative error = 0.7358177070970806 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -2.930988785010413e-14 y[1] (closed_form) = -2.930988785010413e-14 y[1] (numeric) = -2.952499356112525e-14 absolute error = 2.151057110211241e-16 relative error = 0.7339015151515154 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.938621568304711e-14 y[1] (closed_form) = -2.938621568304711e-14 y[1] (numeric) = -2.960132139406823e-14 absolute error = 2.151057110211241e-16 relative error = 0.7319952774498231 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.946254351599009e-14 y[1] (closed_form) = -2.946254351599009e-14 y[1] (numeric) = -2.967764922701121e-14 absolute error = 2.151057110211241e-16 relative error = 0.7300989166274142 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.155e-14 TOP MAIN SOLVE Loop x[1] = -2.953887134893306e-14 y[1] (closed_form) = -2.953887134893306e-14 y[1] (numeric) = -2.975397705995419e-14 absolute error = 2.151057110211241e-16 relative error = 0.728212356119333 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.961519918187604e-14 y[1] (closed_form) = -2.961519918187604e-14 y[1] (numeric) = -2.983030489289717e-14 absolute error = 2.151057110211241e-16 relative error = 0.7263355201499533 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -2.969152701481902e-14 y[1] (closed_form) = -2.969152701481902e-14 y[1] (numeric) = -2.990663272584015e-14 absolute error = 2.151057110211241e-16 relative error = 0.7244683337228326 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -2.9767854847762e-14 y[1] (closed_form) = -2.9767854847762e-14 y[1] (numeric) = -2.998296055878313e-14 absolute error = 2.151057110211241e-16 relative error = 0.7226107226107228 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -2.984418268070498e-14 y[1] (closed_form) = -2.984418268070498e-14 y[1] (numeric) = -3.005928839172611e-14 absolute error = 2.151057110211241e-16 relative error = 0.7207626133457337 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -2.992051051364796e-14 y[1] (closed_form) = -2.992051051364796e-14 y[1] (numeric) = -3.013561622466909e-14 absolute error = 2.151057110211241e-16 relative error = 0.7189239332096476 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -2.999683834659094e-14 y[1] (closed_form) = -2.999683834659094e-14 y[1] (numeric) = -3.021194405761207e-14 absolute error = 2.151057110211241e-16 relative error = 0.7170946102243814 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.007316617953392e-14 y[1] (closed_form) = -3.007316617953392e-14 y[1] (numeric) = -3.028827189055505e-14 absolute error = 2.151057110211241e-16 relative error = 0.7152745731425936 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.01494940124769e-14 y[1] (closed_form) = -3.01494940124769e-14 y[1] (numeric) = -3.036459972349803e-14 absolute error = 2.151057110211241e-16 relative error = 0.7134637514384351 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.022582184541988e-14 y[1] (closed_form) = -3.022582184541988e-14 y[1] (numeric) = -3.0440927556441e-14 absolute error = 2.151057110211241e-16 relative error = 0.7116620752984391 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -3.030214967836286e-14 y[1] (closed_form) = -3.030214967836286e-14 y[1] (numeric) = -3.051725538938398e-14 absolute error = 2.151057110211241e-16 relative error = 0.7098694756125488 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.037847751130584e-14 y[1] (closed_form) = -3.037847751130584e-14 y[1] (numeric) = -3.059358322232696e-14 absolute error = 2.151057110211241e-16 relative error = 0.708085883965281 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.045480534424882e-14 y[1] (closed_form) = -3.045480534424882e-14 y[1] (numeric) = -3.066991105526994e-14 absolute error = 2.151057110211241e-16 relative error = 0.7063112326270222 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.05311331771918e-14 y[1] (closed_form) = -3.05311331771918e-14 y[1] (numeric) = -3.074623888821292e-14 absolute error = 2.151057110211241e-16 relative error = 0.7045454545454547 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.060746101013478e-14 y[1] (closed_form) = -3.060746101013478e-14 y[1] (numeric) = -3.08225667211559e-14 absolute error = 2.151057110211241e-16 relative error = 0.7027884833371119 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.068378884307776e-14 y[1] (closed_form) = -3.068378884307776e-14 y[1] (numeric) = -3.089889455409888e-14 absolute error = 2.151057110211241e-16 relative error = 0.7010402532790594 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -3.076011667602074e-14 y[1] (closed_form) = -3.076011667602074e-14 y[1] (numeric) = -3.097522238704186e-14 absolute error = 2.151057110211241e-16 relative error = 0.6993006993006995 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.083644450896372e-14 y[1] (closed_form) = -3.083644450896372e-14 y[1] (numeric) = -3.105155021998484e-14 absolute error = 2.151057110211241e-16 relative error = 0.6975697569756977 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -3.09127723419067e-14 y[1] (closed_form) = -3.09127723419067e-14 y[1] (numeric) = -3.112787805292782e-14 absolute error = 2.151057110211241e-16 relative error = 0.6958473625140293 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -3.098910017484968e-14 y[1] (closed_form) = -3.098910017484968e-14 y[1] (numeric) = -3.12042058858708e-14 absolute error = 2.151057110211241e-16 relative error = 0.6941334527541425 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -3.106542800779266e-14 y[1] (closed_form) = -3.106542800779266e-14 y[1] (numeric) = -3.128053371881378e-14 absolute error = 2.151057110211241e-16 relative error = 0.692427965155238 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.114175584073563e-14 y[1] (closed_form) = -3.114175584073563e-14 y[1] (numeric) = -3.135686155175676e-14 absolute error = 2.151057110211241e-16 relative error = 0.6907308377896615 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -3.121808367367861e-14 y[1] (closed_form) = -3.121808367367861e-14 y[1] (numeric) = -3.143318938469974e-14 absolute error = 2.151057110211241e-16 relative error = 0.689042009335408 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.129441150662159e-14 y[1] (closed_form) = -3.129441150662159e-14 y[1] (numeric) = -3.150951721764272e-14 absolute error = 2.151057110211241e-16 relative error = 0.6873614190687363 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.137073933956457e-14 y[1] (closed_form) = -3.137073933956457e-14 y[1] (numeric) = -3.15858450505857e-14 absolute error = 2.151057110211241e-16 relative error = 0.6856890068568902 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.144706717250755e-14 y[1] (closed_form) = -3.144706717250755e-14 y[1] (numeric) = -3.166217288352868e-14 absolute error = 2.151057110211241e-16 relative error = 0.6840247131509268 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.152339500545053e-14 y[1] (closed_form) = -3.152339500545053e-14 y[1] (numeric) = -3.173850071647166e-14 absolute error = 2.151057110211241e-16 relative error = 0.6823684789786486 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.159972283839351e-14 y[1] (closed_form) = -3.159972283839351e-14 y[1] (numeric) = -3.181482854941464e-14 absolute error = 2.151057110211241e-16 relative error = 0.6807202459376374 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -3.167605067133649e-14 y[1] (closed_form) = -3.167605067133649e-14 y[1] (numeric) = -3.189115638235762e-14 absolute error = 2.151057110211241e-16 relative error = 0.67907995618839 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.175237850427947e-14 y[1] (closed_form) = -3.175237850427947e-14 y[1] (numeric) = -3.196748421530059e-14 absolute error = 2.151057110211241e-16 relative error = 0.6774475524475526 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -3.182870633722245e-14 y[1] (closed_form) = -3.182870633722245e-14 y[1] (numeric) = -3.204381204824357e-14 absolute error = 2.151057110211241e-16 relative error = 0.6758229779812515 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.190503417016543e-14 y[1] (closed_form) = -3.190503417016543e-14 y[1] (numeric) = -3.212013988118655e-14 absolute error = 2.151057110211241e-16 relative error = 0.6742061765985212 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.198136200310841e-14 y[1] (closed_form) = -3.198136200310841e-14 y[1] (numeric) = -3.219646771412953e-14 absolute error = 2.151057110211241e-16 relative error = 0.6725970926448255 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.205768983605139e-14 y[1] (closed_form) = -3.205768983605139e-14 y[1] (numeric) = -3.227279554707251e-14 absolute error = 2.151057110211241e-16 relative error = 0.6709956709956711 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-15 TOP MAIN SOLVE Loop x[1] = -3.213401766899437e-14 y[1] (closed_form) = -3.213401766899437e-14 y[1] (numeric) = -3.234912338001549e-14 absolute error = 2.151057110211241e-16 relative error = 0.6694018570503132 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.221034550193735e-14 y[1] (closed_form) = -3.221034550193735e-14 y[1] (numeric) = -3.242545121295847e-14 absolute error = 2.151057110211241e-16 relative error = 0.6678155967255495 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -3.228667333488033e-14 y[1] (closed_form) = -3.228667333488033e-14 y[1] (numeric) = -3.250177904590145e-14 absolute error = 2.151057110211241e-16 relative error = 0.6662368364496025 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.236300116782331e-14 y[1] (closed_form) = -3.236300116782331e-14 y[1] (numeric) = -3.257810687884443e-14 absolute error = 2.151057110211241e-16 relative error = 0.6646655231560893 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -3.243932900076629e-14 y[1] (closed_form) = -3.243932900076629e-14 y[1] (numeric) = -3.265443471178741e-14 absolute error = 2.151057110211241e-16 relative error = 0.663101604278075 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -3.251565683370927e-14 y[1] (closed_form) = -3.251565683370927e-14 y[1] (numeric) = -3.273076254473039e-14 absolute error = 2.151057110211241e-16 relative error = 0.661545027742211 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.259198466665225e-14 y[1] (closed_form) = -3.259198466665225e-14 y[1] (numeric) = -3.280709037767337e-14 absolute error = 2.151057110211241e-16 relative error = 0.6599957419629552 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.266831249959522e-14 y[1] (closed_form) = -3.266831249959522e-14 y[1] (numeric) = -3.288341821061635e-14 absolute error = 2.151057110211241e-16 relative error = 0.6584536958368735 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -3.27446403325382e-14 y[1] (closed_form) = -3.27446403325382e-14 y[1] (numeric) = -3.295974604355933e-14 absolute error = 2.151057110211241e-16 relative error = 0.6569188387370207 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.282096816548118e-14 y[1] (closed_form) = -3.282096816548118e-14 y[1] (numeric) = -3.303607387650231e-14 absolute error = 2.151057110211241e-16 relative error = 0.6553911205073997 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.289729599842416e-14 y[1] (closed_form) = -3.289729599842416e-14 y[1] (numeric) = -3.311240170944529e-14 absolute error = 2.151057110211241e-16 relative error = 0.6538704914574985 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.297362383136714e-14 y[1] (closed_form) = -3.297362383136714e-14 y[1] (numeric) = -3.318872954238827e-14 absolute error = 2.151057110211241e-16 relative error = 0.6523569023569025 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -3.304995166431012e-14 y[1] (closed_form) = -3.304995166431012e-14 y[1] (numeric) = -3.326505737533125e-14 absolute error = 2.151057110211241e-16 relative error = 0.6508503044299813 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.31262794972531e-14 y[1] (closed_form) = -3.31262794972531e-14 y[1] (numeric) = -3.334138520827423e-14 absolute error = 2.151057110211241e-16 relative error = 0.6493506493506495 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.320260733019608e-14 y[1] (closed_form) = -3.320260733019608e-14 y[1] (numeric) = -3.341771304121721e-14 absolute error = 2.151057110211241e-16 relative error = 0.6478578892371997 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -3.327893516313906e-14 y[1] (closed_form) = -3.327893516313906e-14 y[1] (numeric) = -3.349404087416019e-14 absolute error = 2.151057110211241e-16 relative error = 0.6463719766472061 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.335526299608204e-14 y[1] (closed_form) = -3.335526299608204e-14 y[1] (numeric) = -3.357036870710316e-14 absolute error = 2.151057110211241e-16 relative error = 0.6448928645724986 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.343159082902502e-14 y[1] (closed_form) = -3.343159082902502e-14 y[1] (numeric) = -3.364669654004614e-14 absolute error = 2.151057110211241e-16 relative error = 0.6434205064342052 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.3507918661968e-14 y[1] (closed_form) = -3.3507918661968e-14 y[1] (numeric) = -3.372302437298912e-14 absolute error = 2.151057110211241e-16 relative error = 0.6419548560778631 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.358424649491098e-14 y[1] (closed_form) = -3.358424649491098e-14 y[1] (numeric) = -3.37993522059321e-14 absolute error = 2.151057110211241e-16 relative error = 0.6404958677685951 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -3.366057432785396e-14 y[1] (closed_form) = -3.366057432785396e-14 y[1] (numeric) = -3.387568003887508e-14 absolute error = 2.151057110211241e-16 relative error = 0.6390434961863535 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-15 TOP MAIN SOLVE Loop x[1] = -3.373690216079694e-14 y[1] (closed_form) = -3.373690216079694e-14 y[1] (numeric) = -3.395200787181806e-14 absolute error = 2.151057110211241e-16 relative error = 0.637597696421226 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.381322999373992e-14 y[1] (closed_form) = -3.381322999373992e-14 y[1] (numeric) = -3.402833570476104e-14 absolute error = 2.151057110211241e-16 relative error = 0.6361584239688078 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.38895578266829e-14 y[1] (closed_form) = -3.38895578266829e-14 y[1] (numeric) = -3.410466353770402e-14 absolute error = 2.151057110211241e-16 relative error = 0.6347256347256348 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -3.396588565962588e-14 y[1] (closed_form) = -3.396588565962588e-14 y[1] (numeric) = -3.4180991370647e-14 absolute error = 2.151057110211241e-16 relative error = 0.6332992849846784 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.404221349256886e-14 y[1] (closed_form) = -3.404221349256886e-14 y[1] (numeric) = -3.425731920358998e-14 absolute error = 2.151057110211241e-16 relative error = 0.631879331430901 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -3.411854132551184e-14 y[1] (closed_form) = -3.411854132551184e-14 y[1] (numeric) = -3.433364703653296e-14 absolute error = 2.151057110211241e-16 relative error = 0.6304657311368722 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.419486915845482e-14 y[1] (closed_form) = -3.419486915845482e-14 y[1] (numeric) = -3.440997486947594e-14 absolute error = 2.151057110211241e-16 relative error = 0.6290584415584417 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.427119699139779e-14 y[1] (closed_form) = -3.427119699139779e-14 y[1] (numeric) = -3.448630270241892e-14 absolute error = 2.151057110211241e-16 relative error = 0.6276574205304719 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -3.434752482434077e-14 y[1] (closed_form) = -3.434752482434077e-14 y[1] (numeric) = -3.45626305353619e-14 absolute error = 2.151057110211241e-16 relative error = 0.6262626262626264 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.442385265728375e-14 y[1] (closed_form) = -3.442385265728375e-14 y[1] (numeric) = -3.463895836830488e-14 absolute error = 2.151057110211241e-16 relative error = 0.6248740173352147 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -3.450018049022673e-14 y[1] (closed_form) = -3.450018049022673e-14 y[1] (numeric) = -3.471528620124786e-14 absolute error = 2.151057110211241e-16 relative error = 0.6234915526950926 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.457650832316971e-14 y[1] (closed_form) = -3.457650832316971e-14 y[1] (numeric) = -3.479161403419084e-14 absolute error = 2.151057110211241e-16 relative error = 0.6221151916516156 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.465283615611269e-14 y[1] (closed_form) = -3.465283615611269e-14 y[1] (numeric) = -3.486794186713382e-14 absolute error = 2.151057110211241e-16 relative error = 0.6207448938726473 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.472916398905567e-14 y[1] (closed_form) = -3.472916398905567e-14 y[1] (numeric) = -3.49442697000768e-14 absolute error = 2.151057110211241e-16 relative error = 0.6193806193806195 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -3.480549182199865e-14 y[1] (closed_form) = -3.480549182199865e-14 y[1] (numeric) = -3.502059753301978e-14 absolute error = 2.151057110211241e-16 relative error = 0.6180223285486445 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.488181965494163e-14 y[1] (closed_form) = -3.488181965494163e-14 y[1] (numeric) = -3.509692536596275e-14 absolute error = 2.151057110211241e-16 relative error = 0.616669982096678 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.495814748788461e-14 y[1] (closed_form) = -3.495814748788461e-14 y[1] (numeric) = -3.517325319890573e-14 absolute error = 2.151057110211241e-16 relative error = 0.6153235410877333 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.503447532082759e-14 y[1] (closed_form) = -3.503447532082759e-14 y[1] (numeric) = -3.524958103184871e-14 absolute error = 2.151057110211241e-16 relative error = 0.6139829669241436 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.511080315377057e-14 y[1] (closed_form) = -3.511080315377057e-14 y[1] (numeric) = -3.532590886479169e-14 absolute error = 2.151057110211241e-16 relative error = 0.6126482213438736 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -3.518713098671355e-14 y[1] (closed_form) = -3.518713098671355e-14 y[1] (numeric) = -3.540223669773467e-14 absolute error = 2.151057110211241e-16 relative error = 0.6113192664168804 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -3.526345881965653e-14 y[1] (closed_form) = -3.526345881965653e-14 y[1] (numeric) = -3.547856453067765e-14 absolute error = 2.151057110211241e-16 relative error = 0.6099960645415192 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -3.533978665259951e-14 y[1] (closed_form) = -3.533978665259951e-14 y[1] (numeric) = -3.555489236362063e-14 absolute error = 2.151057110211241e-16 relative error = 0.6086785784409976 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -3.541611448554249e-14 y[1] (closed_form) = -3.541611448554249e-14 y[1] (numeric) = -3.563122019656361e-14 absolute error = 2.151057110211241e-16 relative error = 0.6073667711598747 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.549244231848547e-14 y[1] (closed_form) = -3.549244231848547e-14 y[1] (numeric) = -3.570754802950659e-14 absolute error = 2.151057110211241e-16 relative error = 0.6060606060606062 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.556877015142845e-14 y[1] (closed_form) = -3.556877015142845e-14 y[1] (numeric) = -3.578387586244957e-14 absolute error = 2.151057110211241e-16 relative error = 0.6047600468201327 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.564509798437143e-14 y[1] (closed_form) = -3.564509798437143e-14 y[1] (numeric) = -3.586020369539255e-14 absolute error = 2.151057110211241e-16 relative error = 0.6034650574265137 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.572142581731441e-14 y[1] (closed_form) = -3.572142581731441e-14 y[1] (numeric) = -3.593653152833553e-14 absolute error = 2.151057110211241e-16 relative error = 0.6021756021756023 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.579775365025738e-14 y[1] (closed_form) = -3.579775365025738e-14 y[1] (numeric) = -3.601285936127851e-14 absolute error = 2.151057110211241e-16 relative error = 0.6008916456677652 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.587408148320036e-14 y[1] (closed_form) = -3.587408148320036e-14 y[1] (numeric) = -3.608918719422149e-14 absolute error = 2.151057110211241e-16 relative error = 0.5996131528046422 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.595040931614334e-14 y[1] (closed_form) = -3.595040931614334e-14 y[1] (numeric) = -3.616551502716447e-14 absolute error = 2.151057110211241e-16 relative error = 0.5983400887859488 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.602673714908632e-14 y[1] (closed_form) = -3.602673714908632e-14 y[1] (numeric) = -3.624184286010745e-14 absolute error = 2.151057110211241e-16 relative error = 0.5970724191063175 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -3.61030649820293e-14 y[1] (closed_form) = -3.61030649820293e-14 y[1] (numeric) = -3.631817069305043e-14 absolute error = 2.151057110211241e-16 relative error = 0.5958101095521815 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.617939281497228e-14 y[1] (closed_form) = -3.617939281497228e-14 y[1] (numeric) = -3.639449852599341e-14 absolute error = 2.151057110211241e-16 relative error = 0.5945531261986959 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.421e-14 TOP MAIN SOLVE Loop x[1] = -3.625572064791526e-14 y[1] (closed_form) = -3.625572064791526e-14 y[1] (numeric) = -3.647082635893639e-14 absolute error = 2.151057110211241e-16 relative error = 0.5933014354066987 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.633204848085824e-14 y[1] (closed_form) = -3.633204848085824e-14 y[1] (numeric) = -3.654715419187937e-14 absolute error = 2.151057110211241e-16 relative error = 0.5920550038197098 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.640837631380122e-14 y[1] (closed_form) = -3.640837631380122e-14 y[1] (numeric) = -3.662348202482235e-14 absolute error = 2.151057110211241e-16 relative error = 0.5908137983609683 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -3.64847041467442e-14 y[1] (closed_form) = -3.64847041467442e-14 y[1] (numeric) = -3.669980985776532e-14 absolute error = 2.151057110211241e-16 relative error = 0.5895777862305061 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.656103197968718e-14 y[1] (closed_form) = -3.656103197968718e-14 y[1] (numeric) = -3.67761376907083e-14 absolute error = 2.151057110211241e-16 relative error = 0.5883469349022586 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.663735981263016e-14 y[1] (closed_form) = -3.663735981263016e-14 y[1] (numeric) = -3.685246552365128e-14 absolute error = 2.151057110211241e-16 relative error = 0.5871212121212123 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.671368764557314e-14 y[1] (closed_form) = -3.671368764557314e-14 y[1] (numeric) = -3.692879335659426e-14 absolute error = 2.151057110211241e-16 relative error = 0.585900585900586 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -3.679001547851612e-14 y[1] (closed_form) = -3.679001547851612e-14 y[1] (numeric) = -3.700512118953724e-14 absolute error = 2.151057110211241e-16 relative error = 0.5846850245190495 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.68663433114591e-14 y[1] (closed_form) = -3.68663433114591e-14 y[1] (numeric) = -3.708144902248022e-14 absolute error = 2.151057110211241e-16 relative error = 0.5834744965179749 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.694267114440208e-14 y[1] (closed_form) = -3.694267114440208e-14 y[1] (numeric) = -3.71577768554232e-14 absolute error = 2.151057110211241e-16 relative error = 0.5822689706987229 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.701899897734506e-14 y[1] (closed_form) = -3.701899897734506e-14 y[1] (numeric) = -3.723410468836618e-14 absolute error = 2.151057110211241e-16 relative error = 0.5810684161199626 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.709532681028804e-14 y[1] (closed_form) = -3.709532681028804e-14 y[1] (numeric) = -3.731043252130916e-14 absolute error = 2.151057110211241e-16 relative error = 0.5798728020950245 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.717165464323102e-14 y[1] (closed_form) = -3.717165464323102e-14 y[1] (numeric) = -3.738676035425214e-14 absolute error = 2.151057110211241e-16 relative error = 0.5786820981892852 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.7247982476174e-14 y[1] (closed_form) = -3.7247982476174e-14 y[1] (numeric) = -3.746308818719512e-14 absolute error = 2.151057110211241e-16 relative error = 0.5774962742175858 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.732431030911698e-14 y[1] (closed_form) = -3.732431030911698e-14 y[1] (numeric) = -3.75394160201381e-14 absolute error = 2.151057110211241e-16 relative error = 0.5763153002416808 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.740063814205995e-14 y[1] (closed_form) = -3.740063814205995e-14 y[1] (numeric) = -3.761574385308108e-14 absolute error = 2.151057110211241e-16 relative error = 0.5751391465677181 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -3.747696597500293e-14 y[1] (closed_form) = -3.747696597500293e-14 y[1] (numeric) = -3.769207168602406e-14 absolute error = 2.151057110211241e-16 relative error = 0.5739677837437512 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -3.755329380794591e-14 y[1] (closed_form) = -3.755329380794591e-14 y[1] (numeric) = -3.776839951896704e-14 absolute error = 2.151057110211241e-16 relative error = 0.5728011825572802 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.762962164088889e-14 y[1] (closed_form) = -3.762962164088889e-14 y[1] (numeric) = -3.784472735191002e-14 absolute error = 2.151057110211241e-16 relative error = 0.5716393140328233 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.770594947383187e-14 y[1] (closed_form) = -3.770594947383187e-14 y[1] (numeric) = -3.7921055184853e-14 absolute error = 2.151057110211241e-16 relative error = 0.5704821494295179 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.778227730677485e-14 y[1] (closed_form) = -3.778227730677485e-14 y[1] (numeric) = -3.799738301779598e-14 absolute error = 2.151057110211241e-16 relative error = 0.5693296602387512 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -3.785860513971783e-14 y[1] (closed_form) = -3.785860513971783e-14 y[1] (numeric) = -3.807371085073896e-14 absolute error = 2.151057110211241e-16 relative error = 0.5681818181818182 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.793493297266081e-14 y[1] (closed_form) = -3.793493297266081e-14 y[1] (numeric) = -3.815003868368194e-14 absolute error = 2.151057110211241e-16 relative error = 0.5670385952076094 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.801126080560379e-14 y[1] (closed_form) = -3.801126080560379e-14 y[1] (numeric) = -3.822636651662491e-14 absolute error = 2.151057110211241e-16 relative error = 0.565899963490325 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.808758863854677e-14 y[1] (closed_form) = -3.808758863854677e-14 y[1] (numeric) = -3.830269434956789e-14 absolute error = 2.151057110211241e-16 relative error = 0.5647658954272181 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.816391647148975e-14 y[1] (closed_form) = -3.816391647148975e-14 y[1] (numeric) = -3.837902218251087e-14 absolute error = 2.151057110211241e-16 relative error = 0.5636363636363637 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -3.824024430443273e-14 y[1] (closed_form) = -3.824024430443273e-14 y[1] (numeric) = -3.845535001545385e-14 absolute error = 2.151057110211241e-16 relative error = 0.5625113409544549 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.831657213737571e-14 y[1] (closed_form) = -3.831657213737571e-14 y[1] (numeric) = -3.853167784839683e-14 absolute error = 2.151057110211241e-16 relative error = 0.5613908004346252 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.839289997031869e-14 y[1] (closed_form) = -3.839289997031869e-14 y[1] (numeric) = -3.860800568133981e-14 absolute error = 2.151057110211241e-16 relative error = 0.560274715344298 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.846922780326167e-14 y[1] (closed_form) = -3.846922780326167e-14 y[1] (numeric) = -3.868433351428279e-14 absolute error = 2.151057110211241e-16 relative error = 0.5591630591630593 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.854555563620465e-14 y[1] (closed_form) = -3.854555563620465e-14 y[1] (numeric) = -3.876066134722577e-14 absolute error = 2.151057110211241e-16 relative error = 0.5580558055805581 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.862188346914763e-14 y[1] (closed_form) = -3.862188346914763e-14 y[1] (numeric) = -3.883698918016875e-14 absolute error = 2.151057110211241e-16 relative error = 0.5569529284944306 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.869821130209061e-14 y[1] (closed_form) = -3.869821130209061e-14 y[1] (numeric) = -3.891331701311173e-14 absolute error = 2.151057110211241e-16 relative error = 0.5558544020082482 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -3.877453913503359e-14 y[1] (closed_form) = -3.877453913503359e-14 y[1] (numeric) = -3.898964484605471e-14 absolute error = 2.151057110211241e-16 relative error = 0.5547602004294918 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.885086696797657e-14 y[1] (closed_form) = -3.885086696797657e-14 y[1] (numeric) = -3.906597267899769e-14 absolute error = 2.151057110211241e-16 relative error = 0.5536702982675479 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -3.892719480091954e-14 y[1] (closed_form) = -3.892719480091954e-14 y[1] (numeric) = -3.914230051194067e-14 absolute error = 2.151057110211241e-16 relative error = 0.5525846702317292 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.421e-14 TOP MAIN SOLVE Loop x[1] = -3.900352263386252e-14 y[1] (closed_form) = -3.900352263386252e-14 y[1] (numeric) = -3.921862834488365e-14 absolute error = 2.151057110211241e-16 relative error = 0.5515032912293187 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.90798504668055e-14 y[1] (closed_form) = -3.90798504668055e-14 y[1] (numeric) = -3.929495617782663e-14 absolute error = 2.151057110211241e-16 relative error = 0.5504261363636365 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -3.915617829974848e-14 y[1] (closed_form) = -3.915617829974848e-14 y[1] (numeric) = -3.937128401076961e-14 absolute error = 2.151057110211241e-16 relative error = 0.5493531809321284 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -3.923250613269146e-14 y[1] (closed_form) = -3.923250613269146e-14 y[1] (numeric) = -3.944761184371259e-14 absolute error = 2.151057110211241e-16 relative error = 0.5482844004244783 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -3.930883396563444e-14 y[1] (closed_form) = -3.930883396563444e-14 y[1] (numeric) = -3.952393967665557e-14 absolute error = 2.151057110211241e-16 relative error = 0.5472197705207414 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -3.938516179857742e-14 y[1] (closed_form) = -3.938516179857742e-14 y[1] (numeric) = -3.960026750959855e-14 absolute error = 2.151057110211241e-16 relative error = 0.5461592670894997 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -3.94614896315204e-14 y[1] (closed_form) = -3.94614896315204e-14 y[1] (numeric) = -3.967659534254153e-14 absolute error = 2.151057110211241e-16 relative error = 0.5451028661860384 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.953781746446338e-14 y[1] (closed_form) = -3.953781746446338e-14 y[1] (numeric) = -3.975292317548451e-14 absolute error = 2.151057110211241e-16 relative error = 0.5440505440505441 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.961414529740636e-14 y[1] (closed_form) = -3.961414529740636e-14 y[1] (numeric) = -3.982925100842748e-14 absolute error = 2.151057110211241e-16 relative error = 0.5430022771063234 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -3.969047313034934e-14 y[1] (closed_form) = -3.969047313034934e-14 y[1] (numeric) = -3.990557884137046e-14 absolute error = 2.151057110211241e-16 relative error = 0.5419580419580421 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -3.976680096329232e-14 y[1] (closed_form) = -3.976680096329232e-14 y[1] (numeric) = -3.998190667431344e-14 absolute error = 2.151057110211241e-16 relative error = 0.5409178153899844 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -3.98431287962353e-14 y[1] (closed_form) = -3.98431287962353e-14 y[1] (numeric) = -4.005823450725642e-14 absolute error = 2.151057110211241e-16 relative error = 0.539881574364333 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -3.991945662917828e-14 y[1] (closed_form) = -3.991945662917828e-14 y[1] (numeric) = -4.01345623401994e-14 absolute error = 2.151057110211241e-16 relative error = 0.5388492960194682 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -3.999578446212126e-14 y[1] (closed_form) = -3.999578446212126e-14 y[1] (numeric) = -4.021089017314238e-14 absolute error = 2.151057110211241e-16 relative error = 0.537820957668286 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.007211229506424e-14 y[1] (closed_form) = -4.007211229506424e-14 y[1] (numeric) = -4.028721800608536e-14 absolute error = 2.151057110211241e-16 relative error = 0.5367965367965368 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -4.014844012800722e-14 y[1] (closed_form) = -4.014844012800722e-14 y[1] (numeric) = -4.036354583902834e-14 absolute error = 2.151057110211241e-16 relative error = 0.5357760110611822 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -4.02247679609502e-14 y[1] (closed_form) = -4.02247679609502e-14 y[1] (numeric) = -4.043987367197132e-14 absolute error = 2.151057110211241e-16 relative error = 0.5347593582887702 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.030109579389318e-14 y[1] (closed_form) = -4.030109579389318e-14 y[1] (numeric) = -4.05162015049143e-14 absolute error = 2.151057110211241e-16 relative error = 0.5337465564738293 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.037742362683616e-14 y[1] (closed_form) = -4.037742362683616e-14 y[1] (numeric) = -4.059252933785728e-14 absolute error = 2.151057110211241e-16 relative error = 0.5327375837772814 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.421e-14 TOP MAIN SOLVE Loop x[1] = -4.045375145977914e-14 y[1] (closed_form) = -4.045375145977914e-14 y[1] (numeric) = -4.066885717080026e-14 absolute error = 2.151057110211241e-16 relative error = 0.5317324185248714 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.053007929272211e-14 y[1] (closed_form) = -4.053007929272211e-14 y[1] (numeric) = -4.074518500374324e-14 absolute error = 2.151057110211241e-16 relative error = 0.5307310392056156 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.060640712566509e-14 y[1] (closed_form) = -4.060640712566509e-14 y[1] (numeric) = -4.082151283668622e-14 absolute error = 2.151057110211241e-16 relative error = 0.5297334244702666 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.068273495860807e-14 y[1] (closed_form) = -4.068273495860807e-14 y[1] (numeric) = -4.08978406696292e-14 absolute error = 2.151057110211241e-16 relative error = 0.5287395531297971 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.155e-14 TOP MAIN SOLVE Loop x[1] = -4.075906279155105e-14 y[1] (closed_form) = -4.075906279155105e-14 y[1] (numeric) = -4.097416850257218e-14 absolute error = 2.151057110211241e-16 relative error = 0.5277494041538986 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.083539062449403e-14 y[1] (closed_form) = -4.083539062449403e-14 y[1] (numeric) = -4.105049633551516e-14 absolute error = 2.151057110211241e-16 relative error = 0.5267629566694988 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -4.091171845743701e-14 y[1] (closed_form) = -4.091171845743701e-14 y[1] (numeric) = -4.112682416845814e-14 absolute error = 2.151057110211241e-16 relative error = 0.5257801899592945 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.098804629037999e-14 y[1] (closed_form) = -4.098804629037999e-14 y[1] (numeric) = -4.120315200140112e-14 absolute error = 2.151057110211241e-16 relative error = 0.5248010834603014 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -4.106437412332297e-14 y[1] (closed_form) = -4.106437412332297e-14 y[1] (numeric) = -4.12794798343441e-14 absolute error = 2.151057110211241e-16 relative error = 0.5238256167624198 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -4.114070195626595e-14 y[1] (closed_form) = -4.114070195626595e-14 y[1] (numeric) = -4.135580766728707e-14 absolute error = 2.151057110211241e-16 relative error = 0.5228537696070165 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -4.121702978920893e-14 y[1] (closed_form) = -4.121702978920893e-14 y[1] (numeric) = -4.143213550023005e-14 absolute error = 2.151057110211241e-16 relative error = 0.521885521885522 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.129335762215191e-14 y[1] (closed_form) = -4.129335762215191e-14 y[1] (numeric) = -4.150846333317303e-14 absolute error = 2.151057110211241e-16 relative error = 0.5209208536380441 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -4.136968545509489e-14 y[1] (closed_form) = -4.136968545509489e-14 y[1] (numeric) = -4.158479116611601e-14 absolute error = 2.151057110211241e-16 relative error = 0.519959745051996 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -4.144601328803787e-14 y[1] (closed_form) = -4.144601328803787e-14 y[1] (numeric) = -4.166111899905899e-14 absolute error = 2.151057110211241e-16 relative error = 0.5190021764607401 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.152234112098085e-14 y[1] (closed_form) = -4.152234112098085e-14 y[1] (numeric) = -4.173744683200197e-14 absolute error = 2.151057110211241e-16 relative error = 0.5180481283422461 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -4.159866895392383e-14 y[1] (closed_form) = -4.159866895392383e-14 y[1] (numeric) = -4.181377466494495e-14 absolute error = 2.151057110211241e-16 relative error = 0.5170975813177648 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -4.167499678686681e-14 y[1] (closed_form) = -4.167499678686681e-14 y[1] (numeric) = -4.189010249788793e-14 absolute error = 2.151057110211241e-16 relative error = 0.5161505161505162 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.175132461980979e-14 y[1] (closed_form) = -4.175132461980979e-14 y[1] (numeric) = -4.196643033083091e-14 absolute error = 2.151057110211241e-16 relative error = 0.515206913744391 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.182765245275277e-14 y[1] (closed_form) = -4.182765245275277e-14 y[1] (numeric) = -4.204275816377389e-14 absolute error = 2.151057110211241e-16 relative error = 0.5142667551426676 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.190398028569575e-14 y[1] (closed_form) = -4.190398028569575e-14 y[1] (numeric) = -4.211908599671687e-14 absolute error = 2.151057110211241e-16 relative error = 0.5133300215267429 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -4.198030811863873e-14 y[1] (closed_form) = -4.198030811863873e-14 y[1] (numeric) = -4.219541382965985e-14 absolute error = 2.151057110211241e-16 relative error = 0.5123966942148761 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.20566359515817e-14 y[1] (closed_form) = -4.20566359515817e-14 y[1] (numeric) = -4.227174166260283e-14 absolute error = 2.151057110211241e-16 relative error = 0.5114667546609472 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.213296378452468e-14 y[1] (closed_form) = -4.213296378452468e-14 y[1] (numeric) = -4.234806949554581e-14 absolute error = 2.151057110211241e-16 relative error = 0.510540184453228 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.220929161746766e-14 y[1] (closed_form) = -4.220929161746766e-14 y[1] (numeric) = -4.242439732848879e-14 absolute error = 2.151057110211241e-16 relative error = 0.5096169653131679 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.228561945041064e-14 y[1] (closed_form) = -4.228561945041064e-14 y[1] (numeric) = -4.250072516143177e-14 absolute error = 2.151057110211241e-16 relative error = 0.508697079094191 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.236194728335362e-14 y[1] (closed_form) = -4.236194728335362e-14 y[1] (numeric) = -4.257705299437475e-14 absolute error = 2.151057110211241e-16 relative error = 0.5077805077805079 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.243e-14 TOP MAIN SOLVE Loop x[1] = -4.24382751162966e-14 y[1] (closed_form) = -4.24382751162966e-14 y[1] (numeric) = -4.265338082731773e-14 absolute error = 2.151057110211241e-16 relative error = 0.5068672334859387 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -4.251460294923958e-14 y[1] (closed_form) = -4.251460294923958e-14 y[1] (numeric) = -4.272970866026071e-14 absolute error = 2.151057110211241e-16 relative error = 0.5059572384527502 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -4.259093078218256e-14 y[1] (closed_form) = -4.259093078218256e-14 y[1] (numeric) = -4.280603649320369e-14 absolute error = 2.151057110211241e-16 relative error = 0.5050505050505051 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.266725861512554e-14 y[1] (closed_form) = -4.266725861512554e-14 y[1] (numeric) = -4.288236432614667e-14 absolute error = 2.151057110211241e-16 relative error = 0.5041470157749228 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.274358644806852e-14 y[1] (closed_form) = -4.274358644806852e-14 y[1] (numeric) = -4.295869215908964e-14 absolute error = 2.151057110211241e-16 relative error = 0.5032467532467533 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.28199142810115e-14 y[1] (closed_form) = -4.28199142810115e-14 y[1] (numeric) = -4.303501999203262e-14 absolute error = 2.151057110211241e-16 relative error = 0.5023497002106628 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.289624211395448e-14 y[1] (closed_form) = -4.289624211395448e-14 y[1] (numeric) = -4.31113478249756e-14 absolute error = 2.151057110211241e-16 relative error = 0.5014558395341314 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -4.297256994689746e-14 y[1] (closed_form) = -4.297256994689746e-14 y[1] (numeric) = -4.318767565791858e-14 absolute error = 2.151057110211241e-16 relative error = 0.5005651542063621 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -4.304889777984044e-14 y[1] (closed_form) = -4.304889777984044e-14 y[1] (numeric) = -4.326400349086156e-14 absolute error = 2.151057110211241e-16 relative error = 0.4996776273372019 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.312522561278342e-14 y[1] (closed_form) = -4.312522561278342e-14 y[1] (numeric) = -4.334033132380454e-14 absolute error = 2.151057110211241e-16 relative error = 0.4987932421560741 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.32015534457264e-14 y[1] (closed_form) = -4.32015534457264e-14 y[1] (numeric) = -4.341665915674752e-14 absolute error = 2.151057110211241e-16 relative error = 0.497911982010922 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -4.327788127866938e-14 y[1] (closed_form) = -4.327788127866938e-14 y[1] (numeric) = -4.34929869896905e-14 absolute error = 2.151057110211241e-16 relative error = 0.4970338303671638 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.335420911161236e-14 y[1] (closed_form) = -4.335420911161236e-14 y[1] (numeric) = -4.356931482263348e-14 absolute error = 2.151057110211241e-16 relative error = 0.4961587708066582 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -4.343053694455534e-14 y[1] (closed_form) = -4.343053694455534e-14 y[1] (numeric) = -4.364564265557646e-14 absolute error = 2.151057110211241e-16 relative error = 0.4952867870266817 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.350686477749832e-14 y[1] (closed_form) = -4.350686477749832e-14 y[1] (numeric) = -4.372197048851944e-14 absolute error = 2.151057110211241e-16 relative error = 0.4944178628389155 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -4.35831926104413e-14 y[1] (closed_form) = -4.35831926104413e-14 y[1] (numeric) = -4.379829832146242e-14 absolute error = 2.151057110211241e-16 relative error = 0.4935519821684446 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.365952044338427e-14 y[1] (closed_form) = -4.365952044338427e-14 y[1] (numeric) = -4.38746261544054e-14 absolute error = 2.151057110211241e-16 relative error = 0.4926891290527655 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.373584827632725e-14 y[1] (closed_form) = -4.373584827632725e-14 y[1] (numeric) = -4.395095398734838e-14 absolute error = 2.151057110211241e-16 relative error = 0.491829287640806 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -4.381217610927023e-14 y[1] (closed_form) = -4.381217610927023e-14 y[1] (numeric) = -4.402728182029136e-14 absolute error = 2.151057110211241e-16 relative error = 0.4909724421919545 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -4.388850394221321e-14 y[1] (closed_form) = -4.388850394221321e-14 y[1] (numeric) = -4.410360965323434e-14 absolute error = 2.151057110211241e-16 relative error = 0.4901185770750989 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.396483177515619e-14 y[1] (closed_form) = -4.396483177515619e-14 y[1] (numeric) = -4.417993748617732e-14 absolute error = 2.151057110211241e-16 relative error = 0.4892676767676769 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.404115960809917e-14 y[1] (closed_form) = -4.404115960809917e-14 y[1] (numeric) = -4.42562653191203e-14 absolute error = 2.151057110211241e-16 relative error = 0.4884197258547346 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -4.411748744104215e-14 y[1] (closed_form) = -4.411748744104215e-14 y[1] (numeric) = -4.433259315206328e-14 absolute error = 2.151057110211241e-16 relative error = 0.4875747090279963 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.419381527398513e-14 y[1] (closed_form) = -4.419381527398513e-14 y[1] (numeric) = -4.440892098500626e-14 absolute error = 2.151057110211241e-16 relative error = 0.4867326110849428 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -4.427014310692811e-14 y[1] (closed_form) = -4.427014310692811e-14 y[1] (numeric) = -4.448524881794923e-14 absolute error = 2.151057110211241e-16 relative error = 0.4858934169278998 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.434647093987109e-14 y[1] (closed_form) = -4.434647093987109e-14 y[1] (numeric) = -4.456157665089221e-14 absolute error = 2.151057110211241e-16 relative error = 0.4850571115631357 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.442279877281407e-14 y[1] (closed_form) = -4.442279877281407e-14 y[1] (numeric) = -4.463790448383519e-14 absolute error = 2.151057110211241e-16 relative error = 0.4842236800999689 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.449912660575705e-14 y[1] (closed_form) = -4.449912660575705e-14 y[1] (numeric) = -4.471423231677817e-14 absolute error = 2.151057110211241e-16 relative error = 0.4833931077498831 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -4.457545443870003e-14 y[1] (closed_form) = -4.457545443870003e-14 y[1] (numeric) = -4.479056014972115e-14 absolute error = 2.151057110211241e-16 relative error = 0.4825653798256538 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -4.465178227164301e-14 y[1] (closed_form) = -4.465178227164301e-14 y[1] (numeric) = -4.486688798266413e-14 absolute error = 2.151057110211241e-16 relative error = 0.4817404817404818 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.472811010458599e-14 y[1] (closed_form) = -4.472811010458599e-14 y[1] (numeric) = -4.494321581560711e-14 absolute error = 2.151057110211241e-16 relative error = 0.4809183990071363 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.480443793752897e-14 y[1] (closed_form) = -4.480443793752897e-14 y[1] (numeric) = -4.501954364855009e-14 absolute error = 2.151057110211241e-16 relative error = 0.4800991172371071 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.488076577047195e-14 y[1] (closed_form) = -4.488076577047195e-14 y[1] (numeric) = -4.509587148149307e-14 absolute error = 2.151057110211241e-16 relative error = 0.4792826221397651 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.495709360341493e-14 y[1] (closed_form) = -4.495709360341493e-14 y[1] (numeric) = -4.517219931443605e-14 absolute error = 2.151057110211241e-16 relative error = 0.4784688995215312 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -4.503342143635791e-14 y[1] (closed_form) = -4.503342143635791e-14 y[1] (numeric) = -4.524852714737903e-14 absolute error = 2.151057110211241e-16 relative error = 0.477657935285054 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.510974926930089e-14 y[1] (closed_form) = -4.510974926930089e-14 y[1] (numeric) = -4.532485498032201e-14 absolute error = 2.151057110211241e-16 relative error = 0.4768497154283957 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.518607710224386e-14 y[1] (closed_form) = -4.518607710224386e-14 y[1] (numeric) = -4.540118281326499e-14 absolute error = 2.151057110211241e-16 relative error = 0.4760442260442261 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.526240493518684e-14 y[1] (closed_form) = -4.526240493518684e-14 y[1] (numeric) = -4.547751064620797e-14 absolute error = 2.151057110211241e-16 relative error = 0.4752414533190251 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.533873276812982e-14 y[1] (closed_form) = -4.533873276812982e-14 y[1] (numeric) = -4.555383847915095e-14 absolute error = 2.151057110211241e-16 relative error = 0.4744413835322927 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.54150606010728e-14 y[1] (closed_form) = -4.54150606010728e-14 y[1] (numeric) = -4.563016631209393e-14 absolute error = 2.151057110211241e-16 relative error = 0.4736440030557678 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.549138843401578e-14 y[1] (closed_form) = -4.549138843401578e-14 y[1] (numeric) = -4.570649414503691e-14 absolute error = 2.151057110211241e-16 relative error = 0.4728492983526541 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.556771626695876e-14 y[1] (closed_form) = -4.556771626695876e-14 y[1] (numeric) = -4.578282197797989e-14 absolute error = 2.151057110211241e-16 relative error = 0.4720572559768541 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.564404409990174e-14 y[1] (closed_form) = -4.564404409990174e-14 y[1] (numeric) = -4.585914981092287e-14 absolute error = 2.151057110211241e-16 relative error = 0.4712678625722105 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.572037193284472e-14 y[1] (closed_form) = -4.572037193284472e-14 y[1] (numeric) = -4.593547764386585e-14 absolute error = 2.151057110211241e-16 relative error = 0.470481104871756 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.57966997657877e-14 y[1] (closed_form) = -4.57966997657877e-14 y[1] (numeric) = -4.601180547680883e-14 absolute error = 2.151057110211241e-16 relative error = 0.4696969696969698 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.587302759873068e-14 y[1] (closed_form) = -4.587302759873068e-14 y[1] (numeric) = -4.60881333097518e-14 absolute error = 2.151057110211241e-16 relative error = 0.4689154439570414 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.594935543167366e-14 y[1] (closed_form) = -4.594935543167366e-14 y[1] (numeric) = -4.616446114269478e-14 absolute error = 2.151057110211241e-16 relative error = 0.4681365146481426 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -4.602568326461664e-14 y[1] (closed_form) = -4.602568326461664e-14 y[1] (numeric) = -4.624078897563776e-14 absolute error = 2.151057110211241e-16 relative error = 0.4673601688527062 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.610201109755962e-14 y[1] (closed_form) = -4.610201109755962e-14 y[1] (numeric) = -4.631711680858074e-14 absolute error = 2.151057110211241e-16 relative error = 0.4665863937387117 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.61783389305026e-14 y[1] (closed_form) = -4.61783389305026e-14 y[1] (numeric) = -4.639344464152372e-14 absolute error = 2.151057110211241e-16 relative error = 0.4658151765589783 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -4.625466676344558e-14 y[1] (closed_form) = -4.625466676344558e-14 y[1] (numeric) = -4.64697724744667e-14 absolute error = 2.151057110211241e-16 relative error = 0.4650465046504651 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -4.633099459638856e-14 y[1] (closed_form) = -4.633099459638856e-14 y[1] (numeric) = -4.654610030740968e-14 absolute error = 2.151057110211241e-16 relative error = 0.464280365433578 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.640732242933154e-14 y[1] (closed_form) = -4.640732242933154e-14 y[1] (numeric) = -4.662242814035266e-14 absolute error = 2.151057110211241e-16 relative error = 0.4635167464114833 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.648365026227452e-14 y[1] (closed_form) = -4.648365026227452e-14 y[1] (numeric) = -4.669875597329564e-14 absolute error = 2.151057110211241e-16 relative error = 0.4627556351694284 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.65599780952175e-14 y[1] (closed_form) = -4.65599780952175e-14 y[1] (numeric) = -4.677508380623862e-14 absolute error = 2.151057110211241e-16 relative error = 0.4619970193740686 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.663630592816048e-14 y[1] (closed_form) = -4.663630592816048e-14 y[1] (numeric) = -4.68514116391816e-14 absolute error = 2.151057110211241e-16 relative error = 0.4612408867728017 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.671263376110346e-14 y[1] (closed_form) = -4.671263376110346e-14 y[1] (numeric) = -4.692773947212458e-14 absolute error = 2.151057110211241e-16 relative error = 0.4604872251931076 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.678896159404643e-14 y[1] (closed_form) = -4.678896159404643e-14 y[1] (numeric) = -4.700406730506756e-14 absolute error = 2.151057110211241e-16 relative error = 0.4597360225418954 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -4.686528942698941e-14 y[1] (closed_form) = -4.686528942698941e-14 y[1] (numeric) = -4.708039513801054e-14 absolute error = 2.151057110211241e-16 relative error = 0.4589872668048565 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.694161725993239e-14 y[1] (closed_form) = -4.694161725993239e-14 y[1] (numeric) = -4.715672297095352e-14 absolute error = 2.151057110211241e-16 relative error = 0.4582409460458242 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.701794509287537e-14 y[1] (closed_form) = -4.701794509287537e-14 y[1] (numeric) = -4.72330508038965e-14 absolute error = 2.151057110211241e-16 relative error = 0.4574970484061394 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.709427292581835e-14 y[1] (closed_form) = -4.709427292581835e-14 y[1] (numeric) = -4.730937863683948e-14 absolute error = 2.151057110211241e-16 relative error = 0.4567555621040225 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -4.717060075876133e-14 y[1] (closed_form) = -4.717060075876133e-14 y[1] (numeric) = -4.738570646978246e-14 absolute error = 2.151057110211241e-16 relative error = 0.4560164754339512 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.724692859170431e-14 y[1] (closed_form) = -4.724692859170431e-14 y[1] (numeric) = -4.746203430272544e-14 absolute error = 2.151057110211241e-16 relative error = 0.455279776766045 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -4.732325642464729e-14 y[1] (closed_form) = -4.732325642464729e-14 y[1] (numeric) = -4.753836213566842e-14 absolute error = 2.151057110211241e-16 relative error = 0.4545454545454546 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-15 TOP MAIN SOLVE Loop x[1] = -4.739958425759027e-14 y[1] (closed_form) = -4.739958425759027e-14 y[1] (numeric) = -4.761468996861139e-14 absolute error = 2.151057110211241e-16 relative error = 0.4538134972917582 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.747591209053325e-14 y[1] (closed_form) = -4.747591209053325e-14 y[1] (numeric) = -4.769101780155437e-14 absolute error = 2.151057110211241e-16 relative error = 0.4530838935983631 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.755223992347623e-14 y[1] (closed_form) = -4.755223992347623e-14 y[1] (numeric) = -4.776734563449735e-14 absolute error = 2.151057110211241e-16 relative error = 0.4523566321319131 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.762856775641921e-14 y[1] (closed_form) = -4.762856775641921e-14 y[1] (numeric) = -4.784367346744033e-14 absolute error = 2.151057110211241e-16 relative error = 0.4516317016317017 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.770489558936219e-14 y[1] (closed_form) = -4.770489558936219e-14 y[1] (numeric) = -4.792000130038331e-14 absolute error = 2.151057110211241e-16 relative error = 0.450909090909091 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.778122342230517e-14 y[1] (closed_form) = -4.778122342230517e-14 y[1] (numeric) = -4.799632913332629e-14 absolute error = 2.151057110211241e-16 relative error = 0.4501887888469359 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.785755125524815e-14 y[1] (closed_form) = -4.785755125524815e-14 y[1] (numeric) = -4.807265696626927e-14 absolute error = 2.151057110211241e-16 relative error = 0.4494707843990141 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.793387908819113e-14 y[1] (closed_form) = -4.793387908819113e-14 y[1] (numeric) = -4.814898479921225e-14 absolute error = 2.151057110211241e-16 relative error = 0.4487550665894616 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.801020692113411e-14 y[1] (closed_form) = -4.801020692113411e-14 y[1] (numeric) = -4.822531263215523e-14 absolute error = 2.151057110211241e-16 relative error = 0.4480416245122128 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.808653475407709e-14 y[1] (closed_form) = -4.808653475407709e-14 y[1] (numeric) = -4.830164046509821e-14 absolute error = 2.151057110211241e-16 relative error = 0.4473304473304474 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -4.816286258702007e-14 y[1] (closed_form) = -4.816286258702007e-14 y[1] (numeric) = -4.837796829804119e-14 absolute error = 2.151057110211241e-16 relative error = 0.446621524276041 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.823919041996305e-14 y[1] (closed_form) = -4.823919041996305e-14 y[1] (numeric) = -4.845429613098417e-14 absolute error = 2.151057110211241e-16 relative error = 0.4459148446490219 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -4.831551825290602e-14 y[1] (closed_form) = -4.831551825290602e-14 y[1] (numeric) = -4.853062396392715e-14 absolute error = 2.151057110211241e-16 relative error = 0.4452103978170329 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.8391846085849e-14 y[1] (closed_form) = -4.8391846085849e-14 y[1] (numeric) = -4.860695179687013e-14 absolute error = 2.151057110211241e-16 relative error = 0.4445081732147979 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -4.846817391879198e-14 y[1] (closed_form) = -4.846817391879198e-14 y[1] (numeric) = -4.868327962981311e-14 absolute error = 2.151057110211241e-16 relative error = 0.4438081603435935 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.854450175173496e-14 y[1] (closed_form) = -4.854450175173496e-14 y[1] (numeric) = -4.875960746275609e-14 absolute error = 2.151057110211241e-16 relative error = 0.4431103487707262 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.862082958467794e-14 y[1] (closed_form) = -4.862082958467794e-14 y[1] (numeric) = -4.883593529569907e-14 absolute error = 2.151057110211241e-16 relative error = 0.4424147281290139 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.869715741762092e-14 y[1] (closed_form) = -4.869715741762092e-14 y[1] (numeric) = -4.891226312864205e-14 absolute error = 2.151057110211241e-16 relative error = 0.4417212881162725 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -4.87734852505639e-14 y[1] (closed_form) = -4.87734852505639e-14 y[1] (numeric) = -4.898859096158503e-14 absolute error = 2.151057110211241e-16 relative error = 0.4410300184948073 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -4.884981308350688e-14 y[1] (closed_form) = -4.884981308350688e-14 y[1] (numeric) = -4.906491879452801e-14 absolute error = 2.151057110211241e-16 relative error = 0.4403409090909092 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -4.892614091644986e-14 y[1] (closed_form) = -4.892614091644986e-14 y[1] (numeric) = -4.914124662747099e-14 absolute error = 2.151057110211241e-16 relative error = 0.4396539497943555 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.900246874939284e-14 y[1] (closed_form) = -4.900246874939284e-14 y[1] (numeric) = -4.921757446041396e-14 absolute error = 2.151057110211241e-16 relative error = 0.4389691305579156 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -4.907879658233582e-14 y[1] (closed_form) = -4.907879658233582e-14 y[1] (numeric) = -4.929390229335694e-14 absolute error = 2.151057110211241e-16 relative error = 0.4382864413968613 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.91551244152788e-14 y[1] (closed_form) = -4.91551244152788e-14 y[1] (numeric) = -4.937023012629992e-14 absolute error = 2.151057110211241e-16 relative error = 0.4376058723884811 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.923145224822178e-14 y[1] (closed_form) = -4.923145224822178e-14 y[1] (numeric) = -4.94465579592429e-14 absolute error = 2.151057110211241e-16 relative error = 0.4369274136715998 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -4.930778008116476e-14 y[1] (closed_form) = -4.930778008116476e-14 y[1] (numeric) = -4.952288579218588e-14 absolute error = 2.151057110211241e-16 relative error = 0.4362510554461019 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.938410791410774e-14 y[1] (closed_form) = -4.938410791410774e-14 y[1] (numeric) = -4.959921362512886e-14 absolute error = 2.151057110211241e-16 relative error = 0.4355767879724604 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -4.946043574705072e-14 y[1] (closed_form) = -4.946043574705072e-14 y[1] (numeric) = -4.967554145807184e-14 absolute error = 2.151057110211241e-16 relative error = 0.4349046015712683 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -4.95367635799937e-14 y[1] (closed_form) = -4.95367635799937e-14 y[1] (numeric) = -4.975186929101482e-14 absolute error = 2.151057110211241e-16 relative error = 0.4342344866227764 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.961309141293668e-14 y[1] (closed_form) = -4.961309141293668e-14 y[1] (numeric) = -4.98281971239578e-14 absolute error = 2.151057110211241e-16 relative error = 0.4335664335664336 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.968941924587966e-14 y[1] (closed_form) = -4.968941924587966e-14 y[1] (numeric) = -4.990452495690078e-14 absolute error = 2.151057110211241e-16 relative error = 0.432900432900433 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -4.976574707882264e-14 y[1] (closed_form) = -4.976574707882264e-14 y[1] (numeric) = -4.998085278984376e-14 absolute error = 2.151057110211241e-16 relative error = 0.4322364751812605 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -4.984207491176562e-14 y[1] (closed_form) = -4.984207491176562e-14 y[1] (numeric) = -5.005718062278674e-14 absolute error = 2.151057110211241e-16 relative error = 0.4315745510232494 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -4.991840274470859e-14 y[1] (closed_form) = -4.991840274470859e-14 y[1] (numeric) = -5.013350845572972e-14 absolute error = 2.151057110211241e-16 relative error = 0.4309146510981374 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -4.999473057765157e-14 y[1] (closed_form) = -4.999473057765157e-14 y[1] (numeric) = -5.02098362886727e-14 absolute error = 2.151057110211241e-16 relative error = 0.4302567661346288 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.007105841059455e-14 y[1] (closed_form) = -5.007105841059455e-14 y[1] (numeric) = -5.028616412161568e-14 absolute error = 2.151057110211241e-16 relative error = 0.4296008869179602 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.014738624353753e-14 y[1] (closed_form) = -5.014738624353753e-14 y[1] (numeric) = -5.036249195455866e-14 absolute error = 2.151057110211241e-16 relative error = 0.4289470042894701 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.022371407648051e-14 y[1] (closed_form) = -5.022371407648051e-14 y[1] (numeric) = -5.043881978750164e-14 absolute error = 2.151057110211241e-16 relative error = 0.428295109146173 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.030004190942349e-14 y[1] (closed_form) = -5.030004190942349e-14 y[1] (numeric) = -5.051514762044462e-14 absolute error = 2.151057110211241e-16 relative error = 0.4276451924403367 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.243e-14 TOP MAIN SOLVE Loop x[1] = -5.037636974236647e-14 y[1] (closed_form) = -5.037636974236647e-14 y[1] (numeric) = -5.05914754533876e-14 absolute error = 2.151057110211241e-16 relative error = 0.4269972451790634 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.045269757530945e-14 y[1] (closed_form) = -5.045269757530945e-14 y[1] (numeric) = -5.066780328633058e-14 absolute error = 2.151057110211241e-16 relative error = 0.4263512584238757 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.052902540825243e-14 y[1] (closed_form) = -5.052902540825243e-14 y[1] (numeric) = -5.074413111927355e-14 absolute error = 2.151057110211241e-16 relative error = 0.4257072232903049 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.060535324119541e-14 y[1] (closed_form) = -5.060535324119541e-14 y[1] (numeric) = -5.082045895221653e-14 absolute error = 2.151057110211241e-16 relative error = 0.4250651309474839 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.068168107413839e-14 y[1] (closed_form) = -5.068168107413839e-14 y[1] (numeric) = -5.089678678515951e-14 absolute error = 2.151057110211241e-16 relative error = 0.4244249726177438 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.075800890708137e-14 y[1] (closed_form) = -5.075800890708137e-14 y[1] (numeric) = -5.097311461810249e-14 absolute error = 2.151057110211241e-16 relative error = 0.4237867395762133 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.083433674002435e-14 y[1] (closed_form) = -5.083433674002435e-14 y[1] (numeric) = -5.104944245104547e-14 absolute error = 2.151057110211241e-16 relative error = 0.4231504231504232 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.091066457296733e-14 y[1] (closed_form) = -5.091066457296733e-14 y[1] (numeric) = -5.112577028398845e-14 absolute error = 2.151057110211241e-16 relative error = 0.4225160147199128 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.098699240591031e-14 y[1] (closed_form) = -5.098699240591031e-14 y[1] (numeric) = -5.120209811693143e-14 absolute error = 2.151057110211241e-16 relative error = 0.4218835057158411 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.106332023885329e-14 y[1] (closed_form) = -5.106332023885329e-14 y[1] (numeric) = -5.127842594987441e-14 absolute error = 2.151057110211241e-16 relative error = 0.4212528876206007 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.113964807179627e-14 y[1] (closed_form) = -5.113964807179627e-14 y[1] (numeric) = -5.135475378281739e-14 absolute error = 2.151057110211241e-16 relative error = 0.4206241519674356 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.121597590473925e-14 y[1] (closed_form) = -5.121597590473925e-14 y[1] (numeric) = -5.143108161576037e-14 absolute error = 2.151057110211241e-16 relative error = 0.4199972903400624 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.129230373768223e-14 y[1] (closed_form) = -5.129230373768223e-14 y[1] (numeric) = -5.150740944870335e-14 absolute error = 2.151057110211241e-16 relative error = 0.4193722943722944 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.136863157062521e-14 y[1] (closed_form) = -5.136863157062521e-14 y[1] (numeric) = -5.158373728164633e-14 absolute error = 2.151057110211241e-16 relative error = 0.4187491557476699 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.144495940356818e-14 y[1] (closed_form) = -5.144495940356818e-14 y[1] (numeric) = -5.166006511458931e-14 absolute error = 2.151057110211241e-16 relative error = 0.4181278661990829 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.152128723651116e-14 y[1] (closed_form) = -5.152128723651116e-14 y[1] (numeric) = -5.173639294753229e-14 absolute error = 2.151057110211241e-16 relative error = 0.4175084175084176 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.159761506945414e-14 y[1] (closed_form) = -5.159761506945414e-14 y[1] (numeric) = -5.181272078047527e-14 absolute error = 2.151057110211241e-16 relative error = 0.4168908015061862 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.167394290239712e-14 y[1] (closed_form) = -5.167394290239712e-14 y[1] (numeric) = -5.188904861341825e-14 absolute error = 2.151057110211241e-16 relative error = 0.4162750100711696 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.17502707353401e-14 y[1] (closed_form) = -5.17502707353401e-14 y[1] (numeric) = -5.196537644636123e-14 absolute error = 2.151057110211241e-16 relative error = 0.4156610351300618 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.182659856828308e-14 y[1] (closed_form) = -5.182659856828308e-14 y[1] (numeric) = -5.204170427930421e-14 absolute error = 2.151057110211241e-16 relative error = 0.4150488686571162 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.190292640122606e-14 y[1] (closed_form) = -5.190292640122606e-14 y[1] (numeric) = -5.211803211224719e-14 absolute error = 2.151057110211241e-16 relative error = 0.4144385026737968 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -5.197925423416904e-14 y[1] (closed_form) = -5.197925423416904e-14 y[1] (numeric) = -5.219435994519017e-14 absolute error = 2.151057110211241e-16 relative error = 0.4138299292484315 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.205558206711202e-14 y[1] (closed_form) = -5.205558206711202e-14 y[1] (numeric) = -5.227068777813315e-14 absolute error = 2.151057110211241e-16 relative error = 0.4132231404958678 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.2131909900055e-14 y[1] (closed_form) = -5.2131909900055e-14 y[1] (numeric) = -5.234701561107612e-14 absolute error = 2.151057110211241e-16 relative error = 0.412618128577133 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.220823773299798e-14 y[1] (closed_form) = -5.220823773299798e-14 y[1] (numeric) = -5.24233434440191e-14 absolute error = 2.151057110211241e-16 relative error = 0.4120148856990963 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -5.228456556594096e-14 y[1] (closed_form) = -5.228456556594096e-14 y[1] (numeric) = -5.249967127696208e-14 absolute error = 2.151057110211241e-16 relative error = 0.4114134041141341 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.236089339888394e-14 y[1] (closed_form) = -5.236089339888394e-14 y[1] (numeric) = -5.257599910990506e-14 absolute error = 2.151057110211241e-16 relative error = 0.4108136761197986 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.243722123182692e-14 y[1] (closed_form) = -5.243722123182692e-14 y[1] (numeric) = -5.265232694284804e-14 absolute error = 2.151057110211241e-16 relative error = 0.4102156940584888 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.25135490647699e-14 y[1] (closed_form) = -5.25135490647699e-14 y[1] (numeric) = -5.272865477579102e-14 absolute error = 2.151057110211241e-16 relative error = 0.4096194503171248 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.258987689771288e-14 y[1] (closed_form) = -5.258987689771288e-14 y[1] (numeric) = -5.2804982608734e-14 absolute error = 2.151057110211241e-16 relative error = 0.4090249373268242 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -5.266620473065586e-14 y[1] (closed_form) = -5.266620473065586e-14 y[1] (numeric) = -5.288131044167698e-14 absolute error = 2.151057110211241e-16 relative error = 0.4084321475625824 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.274253256359884e-14 y[1] (closed_form) = -5.274253256359884e-14 y[1] (numeric) = -5.295763827461996e-14 absolute error = 2.151057110211241e-16 relative error = 0.4078410735429549 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.281886039654182e-14 y[1] (closed_form) = -5.281886039654182e-14 y[1] (numeric) = -5.303396610756294e-14 absolute error = 2.151057110211241e-16 relative error = 0.4072517078297426 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -5.28951882294848e-14 y[1] (closed_form) = -5.28951882294848e-14 y[1] (numeric) = -5.311029394050592e-14 absolute error = 2.151057110211241e-16 relative error = 0.4066640430276794 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.297151606242778e-14 y[1] (closed_form) = -5.297151606242778e-14 y[1] (numeric) = -5.31866217734489e-14 absolute error = 2.151057110211241e-16 relative error = 0.4060780717841237 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -5.304784389537075e-14 y[1] (closed_form) = -5.304784389537075e-14 y[1] (numeric) = -5.326294960639188e-14 absolute error = 2.151057110211241e-16 relative error = 0.4054937867887509 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.312417172831373e-14 y[1] (closed_form) = -5.312417172831373e-14 y[1] (numeric) = -5.333927743933486e-14 absolute error = 2.151057110211241e-16 relative error = 0.4049111807732498 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.320049956125671e-14 y[1] (closed_form) = -5.320049956125671e-14 y[1] (numeric) = -5.341560527227784e-14 absolute error = 2.151057110211241e-16 relative error = 0.4043302465110213 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -5.327682739419969e-14 y[1] (closed_form) = -5.327682739419969e-14 y[1] (numeric) = -5.349193310522082e-14 absolute error = 2.151057110211241e-16 relative error = 0.4037509768168794 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -5.335315522714267e-14 y[1] (closed_form) = -5.335315522714267e-14 y[1] (numeric) = -5.35682609381638e-14 absolute error = 2.151057110211241e-16 relative error = 0.4031733645467552 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.342948306008565e-14 y[1] (closed_form) = -5.342948306008565e-14 y[1] (numeric) = -5.364458877110678e-14 absolute error = 2.151057110211241e-16 relative error = 0.4025974025974026 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.350581089302863e-14 y[1] (closed_form) = -5.350581089302863e-14 y[1] (numeric) = -5.372091660404976e-14 absolute error = 2.151057110211241e-16 relative error = 0.4020230839061082 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.358213872597161e-14 y[1] (closed_form) = -5.358213872597161e-14 y[1] (numeric) = -5.379724443699274e-14 absolute error = 2.151057110211241e-16 relative error = 0.4014504014504015 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.365846655891459e-14 y[1] (closed_form) = -5.365846655891459e-14 y[1] (numeric) = -5.387357226993571e-14 absolute error = 2.151057110211241e-16 relative error = 0.4008793482477693 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -5.373479439185757e-14 y[1] (closed_form) = -5.373479439185757e-14 y[1] (numeric) = -5.394990010287869e-14 absolute error = 2.151057110211241e-16 relative error = 0.400309917355372 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.381112222480055e-14 y[1] (closed_form) = -5.381112222480055e-14 y[1] (numeric) = -5.402622793582167e-14 absolute error = 2.151057110211241e-16 relative error = 0.3997421018697615 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.388745005774353e-14 y[1] (closed_form) = -5.388745005774353e-14 y[1] (numeric) = -5.410255576876465e-14 absolute error = 2.151057110211241e-16 relative error = 0.3991758949266032 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.396377789068651e-14 y[1] (closed_form) = -5.396377789068651e-14 y[1] (numeric) = -5.417888360170763e-14 absolute error = 2.151057110211241e-16 relative error = 0.3986112897003987 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.404010572362949e-14 y[1] (closed_form) = -5.404010572362949e-14 y[1] (numeric) = -5.425521143465061e-14 absolute error = 2.151057110211241e-16 relative error = 0.3980482794042117 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.411643355657247e-14 y[1] (closed_form) = -5.411643355657247e-14 y[1] (numeric) = -5.433153926759359e-14 absolute error = 2.151057110211241e-16 relative error = 0.3974868572893961 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.419276138951545e-14 y[1] (closed_form) = -5.419276138951545e-14 y[1] (numeric) = -5.440786710053657e-14 absolute error = 2.151057110211241e-16 relative error = 0.3969270166453265 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.426908922245843e-14 y[1] (closed_form) = -5.426908922245843e-14 y[1] (numeric) = -5.448419493347955e-14 absolute error = 2.151057110211241e-16 relative error = 0.3963687507991306 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.434541705540141e-14 y[1] (closed_form) = -5.434541705540141e-14 y[1] (numeric) = -5.456052276642253e-14 absolute error = 2.151057110211241e-16 relative error = 0.3958120531154239 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.442174488834439e-14 y[1] (closed_form) = -5.442174488834439e-14 y[1] (numeric) = -5.463685059936551e-14 absolute error = 2.151057110211241e-16 relative error = 0.3952569169960475 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.449807272128737e-14 y[1] (closed_form) = -5.449807272128737e-14 y[1] (numeric) = -5.471317843230849e-14 absolute error = 2.151057110211241e-16 relative error = 0.3947033358798065 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.457440055423034e-14 y[1] (closed_form) = -5.457440055423034e-14 y[1] (numeric) = -5.478950626525147e-14 absolute error = 2.151057110211241e-16 relative error = 0.3941513032422124 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.465072838717332e-14 y[1] (closed_form) = -5.465072838717332e-14 y[1] (numeric) = -5.486583409819445e-14 absolute error = 2.151057110211241e-16 relative error = 0.3936008125952261 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.47270562201163e-14 y[1] (closed_form) = -5.47270562201163e-14 y[1] (numeric) = -5.494216193113743e-14 absolute error = 2.151057110211241e-16 relative error = 0.393051857487004 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.480338405305928e-14 y[1] (closed_form) = -5.480338405305928e-14 y[1] (numeric) = -5.501848976408041e-14 absolute error = 2.151057110211241e-16 relative error = 0.392504431501646 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -5.487971188600226e-14 y[1] (closed_form) = -5.487971188600226e-14 y[1] (numeric) = -5.509481759702339e-14 absolute error = 2.151057110211241e-16 relative error = 0.3919585282589456 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.495603971894524e-14 y[1] (closed_form) = -5.495603971894524e-14 y[1] (numeric) = -5.517114542996637e-14 absolute error = 2.151057110211241e-16 relative error = 0.3914141414141414 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -5.503236755188822e-14 y[1] (closed_form) = -5.503236755188822e-14 y[1] (numeric) = -5.524747326290935e-14 absolute error = 2.151057110211241e-16 relative error = 0.3908712646576725 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.51086953848312e-14 y[1] (closed_form) = -5.51086953848312e-14 y[1] (numeric) = -5.532380109585233e-14 absolute error = 2.151057110211241e-16 relative error = 0.3903298917149333 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -5.518502321777418e-14 y[1] (closed_form) = -5.518502321777418e-14 y[1] (numeric) = -5.540012892879531e-14 absolute error = 2.151057110211241e-16 relative error = 0.389790016346033 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.526135105071716e-14 y[1] (closed_form) = -5.526135105071716e-14 y[1] (numeric) = -5.547645676173828e-14 absolute error = 2.151057110211241e-16 relative error = 0.389251632345555 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -5.533767888366014e-14 y[1] (closed_form) = -5.533767888366014e-14 y[1] (numeric) = -5.555278459468126e-14 absolute error = 2.151057110211241e-16 relative error = 0.3887147335423198 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.541400671660312e-14 y[1] (closed_form) = -5.541400671660312e-14 y[1] (numeric) = -5.562911242762424e-14 absolute error = 2.151057110211241e-16 relative error = 0.3881793137991486 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -5.54903345495461e-14 y[1] (closed_form) = -5.54903345495461e-14 y[1] (numeric) = -5.570544026056722e-14 absolute error = 2.151057110211241e-16 relative error = 0.3876453670126298 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.155e-14 TOP MAIN SOLVE Loop x[1] = -5.556666238248908e-14 y[1] (closed_form) = -5.556666238248908e-14 y[1] (numeric) = -5.57817680935102e-14 absolute error = 2.151057110211241e-16 relative error = 0.3871128871128872 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.564299021543206e-14 y[1] (closed_form) = -5.564299021543206e-14 y[1] (numeric) = -5.585809592645318e-14 absolute error = 2.151057110211241e-16 relative error = 0.3865818680633496 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.571931804837504e-14 y[1] (closed_form) = -5.571931804837504e-14 y[1] (numeric) = -5.593442375939616e-14 absolute error = 2.151057110211241e-16 relative error = 0.3860523038605231 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.579564588131802e-14 y[1] (closed_form) = -5.579564588131802e-14 y[1] (numeric) = -5.601075159233914e-14 absolute error = 2.151057110211241e-16 relative error = 0.3855241885337645 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -5.5871973714261e-14 y[1] (closed_form) = -5.5871973714261e-14 y[1] (numeric) = -5.608707942528212e-14 absolute error = 2.151057110211241e-16 relative error = 0.3849975161450572 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.594830154720398e-14 y[1] (closed_form) = -5.594830154720398e-14 y[1] (numeric) = -5.61634072582251e-14 absolute error = 2.151057110211241e-16 relative error = 0.3844722807887883 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.602462938014696e-14 y[1] (closed_form) = -5.602462938014696e-14 y[1] (numeric) = -5.623973509116808e-14 absolute error = 2.151057110211241e-16 relative error = 0.3839484765915284 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.610095721308994e-14 y[1] (closed_form) = -5.610095721308994e-14 y[1] (numeric) = -5.631606292411106e-14 absolute error = 2.151057110211241e-16 relative error = 0.383426097711812 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -5.617728504603291e-14 y[1] (closed_form) = -5.617728504603291e-14 y[1] (numeric) = -5.639239075705404e-14 absolute error = 2.151057110211241e-16 relative error = 0.382905138339921 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -5.625361287897589e-14 y[1] (closed_form) = -5.625361287897589e-14 y[1] (numeric) = -5.646871858999702e-14 absolute error = 2.151057110211241e-16 relative error = 0.3823855926976687 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.632994071191887e-14 y[1] (closed_form) = -5.632994071191887e-14 y[1] (numeric) = -5.654504642294e-14 absolute error = 2.151057110211241e-16 relative error = 0.3818674550381868 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.640626854486185e-14 y[1] (closed_form) = -5.640626854486185e-14 y[1] (numeric) = -5.662137425588298e-14 absolute error = 2.151057110211241e-16 relative error = 0.3813507196457129 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.648259637780483e-14 y[1] (closed_form) = -5.648259637780483e-14 y[1] (numeric) = -5.669770208882596e-14 absolute error = 2.151057110211241e-16 relative error = 0.3808353808353809 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.655892421074781e-14 y[1] (closed_form) = -5.655892421074781e-14 y[1] (numeric) = -5.677402992176894e-14 absolute error = 2.151057110211241e-16 relative error = 0.380321432953012 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.663525204369079e-14 y[1] (closed_form) = -5.663525204369079e-14 y[1] (numeric) = -5.685035775471191e-14 absolute error = 2.151057110211178e-16 relative error = 0.379808870374897 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -5.671157987663377e-14 y[1] (closed_form) = -5.671157987663377e-14 y[1] (numeric) = -5.692668558765489e-14 absolute error = 2.151057110211178e-16 relative error = 0.379297687507636 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.678790770957675e-14 y[1] (closed_form) = -5.678790770957675e-14 y[1] (numeric) = -5.700301342059787e-14 absolute error = 2.151057110211178e-16 relative error = 0.3787878787878677 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -5.686423554251972e-14 y[1] (closed_form) = -5.686423554251972e-14 y[1] (numeric) = -5.707934125354085e-14 absolute error = 2.151057110211241e-16 relative error = 0.3782794386821233 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.69405633754627e-14 y[1] (closed_form) = -5.69405633754627e-14 y[1] (numeric) = -5.715566908648383e-14 absolute error = 2.151057110211241e-16 relative error = 0.3777723616865709 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.701689120840568e-14 y[1] (closed_form) = -5.701689120840568e-14 y[1] (numeric) = -5.723199691942681e-14 absolute error = 2.151057110211241e-16 relative error = 0.3772666423268834 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.709321904134866e-14 y[1] (closed_form) = -5.709321904134866e-14 y[1] (numeric) = -5.730832475236979e-14 absolute error = 2.151057110211241e-16 relative error = 0.3767622751579972 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -5.716954687429164e-14 y[1] (closed_form) = -5.716954687429164e-14 y[1] (numeric) = -5.738465258531277e-14 absolute error = 2.151057110211241e-16 relative error = 0.3762592547639277 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.724587470723462e-14 y[1] (closed_form) = -5.724587470723462e-14 y[1] (numeric) = -5.746098041825575e-14 absolute error = 2.151057110211241e-16 relative error = 0.3757575757575758 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.73222025401776e-14 y[1] (closed_form) = -5.73222025401776e-14 y[1] (numeric) = -5.753730825119873e-14 absolute error = 2.151057110211241e-16 relative error = 0.3752572327805351 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.739853037312058e-14 y[1] (closed_form) = -5.739853037312058e-14 y[1] (numeric) = -5.76136360841417e-14 absolute error = 2.151057110211241e-16 relative error = 0.3747582205029014 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.747485820606356e-14 y[1] (closed_form) = -5.747485820606356e-14 y[1] (numeric) = -5.768996391708468e-14 absolute error = 2.151057110211241e-16 relative error = 0.3742605336230835 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -5.755118603900654e-14 y[1] (closed_form) = -5.755118603900654e-14 y[1] (numeric) = -5.776629175002766e-14 absolute error = 2.151057110211241e-16 relative error = 0.3737641668676152 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.421e-14 TOP MAIN SOLVE Loop x[1] = -5.762751387194952e-14 y[1] (closed_form) = -5.762751387194952e-14 y[1] (numeric) = -5.784261958297064e-14 absolute error = 2.151057110211241e-16 relative error = 0.3732691149909694 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.77038417048925e-14 y[1] (closed_form) = -5.77038417048925e-14 y[1] (numeric) = -5.791894741591362e-14 absolute error = 2.151057110211241e-16 relative error = 0.3727753727753729 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.778016953783548e-14 y[1] (closed_form) = -5.778016953783548e-14 y[1] (numeric) = -5.79952752488566e-14 absolute error = 2.151057110211241e-16 relative error = 0.3722829350306234 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -5.785649737077846e-14 y[1] (closed_form) = -5.785649737077846e-14 y[1] (numeric) = -5.807160308179958e-14 absolute error = 2.151057110211241e-16 relative error = 0.3717917965939075 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.793282520372144e-14 y[1] (closed_form) = -5.793282520372144e-14 y[1] (numeric) = -5.814793091474256e-14 absolute error = 2.151057110211241e-16 relative error = 0.3713019523296204 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.800915303666442e-14 y[1] (closed_form) = -5.800915303666442e-14 y[1] (numeric) = -5.822425874768554e-14 absolute error = 2.151057110211241e-16 relative error = 0.3708133971291867 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.80854808696074e-14 y[1] (closed_form) = -5.80854808696074e-14 y[1] (numeric) = -5.830058658062852e-14 absolute error = 2.151057110211241e-16 relative error = 0.3703261259108829 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.816180870255038e-14 y[1] (closed_form) = -5.816180870255038e-14 y[1] (numeric) = -5.83769144135715e-14 absolute error = 2.151057110211241e-16 relative error = 0.3698401336196613 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.823813653549336e-14 y[1] (closed_form) = -5.823813653549336e-14 y[1] (numeric) = -5.845324224651448e-14 absolute error = 2.151057110211241e-16 relative error = 0.369355415226975 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.831446436843633e-14 y[1] (closed_form) = -5.831446436843633e-14 y[1] (numeric) = -5.852957007945746e-14 absolute error = 2.151057110211241e-16 relative error = 0.3688719657306045 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -5.839079220137931e-14 y[1] (closed_form) = -5.839079220137931e-14 y[1] (numeric) = -5.860589791240044e-14 absolute error = 2.151057110211241e-16 relative error = 0.3683897801544861 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -5.846712003432229e-14 y[1] (closed_form) = -5.846712003432229e-14 y[1] (numeric) = -5.868222574534342e-14 absolute error = 2.151057110211241e-16 relative error = 0.3679088535485403 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -5.854344786726527e-14 y[1] (closed_form) = -5.854344786726527e-14 y[1] (numeric) = -5.87585535782864e-14 absolute error = 2.151057110211241e-16 relative error = 0.3674291809885031 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.861977570020825e-14 y[1] (closed_form) = -5.861977570020825e-14 y[1] (numeric) = -5.883488141122938e-14 absolute error = 2.151057110211241e-16 relative error = 0.3669507575757577 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.869610353315123e-14 y[1] (closed_form) = -5.869610353315123e-14 y[1] (numeric) = -5.891120924417236e-14 absolute error = 2.151057110211241e-16 relative error = 0.3664735784371676 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.877243136609421e-14 y[1] (closed_form) = -5.877243136609421e-14 y[1] (numeric) = -5.898753707711534e-14 absolute error = 2.151057110211241e-16 relative error = 0.3659976387249115 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.884875919903719e-14 y[1] (closed_form) = -5.884875919903719e-14 y[1] (numeric) = -5.906386491005832e-14 absolute error = 2.151057110211241e-16 relative error = 0.3655229336163189 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -5.892508703198017e-14 y[1] (closed_form) = -5.892508703198017e-14 y[1] (numeric) = -5.914019274300129e-14 absolute error = 2.151057110211241e-16 relative error = 0.3650494583137071 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.155e-14 TOP MAIN SOLVE Loop x[1] = -5.900141486492315e-14 y[1] (closed_form) = -5.900141486492315e-14 y[1] (numeric) = -5.921652057594427e-14 absolute error = 2.151057110211241e-16 relative error = 0.3645772080442198 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.907774269786613e-14 y[1] (closed_form) = -5.907774269786613e-14 y[1] (numeric) = -5.929284840888725e-14 absolute error = 2.151057110211241e-16 relative error = 0.3641061780596665 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.915407053080911e-14 y[1] (closed_form) = -5.915407053080911e-14 y[1] (numeric) = -5.936917624183023e-14 absolute error = 2.151057110211241e-16 relative error = 0.3636363636363637 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -5.923039836375209e-14 y[1] (closed_form) = -5.923039836375209e-14 y[1] (numeric) = -5.944550407477321e-14 absolute error = 2.151057110211241e-16 relative error = 0.3631677600749766 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.930672619669507e-14 y[1] (closed_form) = -5.930672619669507e-14 y[1] (numeric) = -5.952183190771619e-14 absolute error = 2.151057110211241e-16 relative error = 0.3627003627003628 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.938305402963805e-14 y[1] (closed_form) = -5.938305402963805e-14 y[1] (numeric) = -5.959815974065917e-14 absolute error = 2.151057110211241e-16 relative error = 0.3622341668614163 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -5.945938186258103e-14 y[1] (closed_form) = -5.945938186258103e-14 y[1] (numeric) = -5.967448757360215e-14 absolute error = 2.151057110211241e-16 relative error = 0.3617691679309138 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -5.953570969552401e-14 y[1] (closed_form) = -5.953570969552401e-14 y[1] (numeric) = -5.975081540654513e-14 absolute error = 2.151057110211241e-16 relative error = 0.3613053613053614 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -5.961203752846699e-14 y[1] (closed_form) = -5.961203752846699e-14 y[1] (numeric) = -5.982714323948811e-14 absolute error = 2.151057110211241e-16 relative error = 0.3608427424048424 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -5.968836536140997e-14 y[1] (closed_form) = -5.968836536140997e-14 y[1] (numeric) = -5.990347107243109e-14 absolute error = 2.151057110211241e-16 relative error = 0.3603813066728668 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -5.976469319435295e-14 y[1] (closed_form) = -5.976469319435295e-14 y[1] (numeric) = -5.997979890537407e-14 absolute error = 2.151057110211241e-16 relative error = 0.3599210495762221 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -5.984102102729592e-14 y[1] (closed_form) = -5.984102102729592e-14 y[1] (numeric) = -6.005612673831705e-14 absolute error = 2.151057110211241e-16 relative error = 0.3594619666048238 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -5.99173488602389e-14 y[1] (closed_form) = -5.99173488602389e-14 y[1] (numeric) = -6.013245457126003e-14 absolute error = 2.151057110211241e-16 relative error = 0.3590040532715693 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -5.999367669318188e-14 y[1] (closed_form) = -5.999367669318188e-14 y[1] (numeric) = -6.020878240420301e-14 absolute error = 2.151057110211241e-16 relative error = 0.3585473051121907 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.007000452612486e-14 y[1] (closed_form) = -6.007000452612486e-14 y[1] (numeric) = -6.028511023714599e-14 absolute error = 2.151057110211241e-16 relative error = 0.3580917176851104 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.014633235906784e-14 y[1] (closed_form) = -6.014633235906784e-14 y[1] (numeric) = -6.036143807008897e-14 absolute error = 2.151057110211241e-16 relative error = 0.3576372865712968 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.022266019201082e-14 y[1] (closed_form) = -6.022266019201082e-14 y[1] (numeric) = -6.043776590303195e-14 absolute error = 2.151057110211241e-16 relative error = 0.3571840073741215 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.02989880249538e-14 y[1] (closed_form) = -6.02989880249538e-14 y[1] (numeric) = -6.051409373597493e-14 absolute error = 2.151057110211241e-16 relative error = 0.3567318757192176 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.037531585789678e-14 y[1] (closed_form) = -6.037531585789678e-14 y[1] (numeric) = -6.059042156891791e-14 absolute error = 2.151057110211241e-16 relative error = 0.3562808872543387 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.045164369083976e-14 y[1] (closed_form) = -6.045164369083976e-14 y[1] (numeric) = -6.066674940186089e-14 absolute error = 2.151057110211241e-16 relative error = 0.3558310376492195 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -6.052797152378274e-14 y[1] (closed_form) = -6.052797152378274e-14 y[1] (numeric) = -6.074307723480386e-14 absolute error = 2.151057110211241e-16 relative error = 0.3553823225954374 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.060429935672572e-14 y[1] (closed_form) = -6.060429935672572e-14 y[1] (numeric) = -6.081940506774684e-14 absolute error = 2.151057110211241e-16 relative error = 0.3549347378062744 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.06806271896687e-14 y[1] (closed_form) = -6.06806271896687e-14 y[1] (numeric) = -6.089573290068982e-14 absolute error = 2.151057110211241e-16 relative error = 0.354488279016581 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.075695502261168e-14 y[1] (closed_form) = -6.075695502261168e-14 y[1] (numeric) = -6.09720607336328e-14 absolute error = 2.151057110211241e-16 relative error = 0.3540429419826405 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.083328285555466e-14 y[1] (closed_form) = -6.083328285555466e-14 y[1] (numeric) = -6.104838856657578e-14 absolute error = 2.151057110211241e-16 relative error = 0.353598722482035 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.090961068849764e-14 y[1] (closed_form) = -6.090961068849764e-14 y[1] (numeric) = -6.112471639951876e-14 absolute error = 2.151057110211241e-16 relative error = 0.3531556163135111 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.098593852144062e-14 y[1] (closed_form) = -6.098593852144062e-14 y[1] (numeric) = -6.120104423246174e-14 absolute error = 2.151057110211241e-16 relative error = 0.3527136192968484 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.155e-14 TOP MAIN SOLVE Loop x[1] = -6.10622663543836e-14 y[1] (closed_form) = -6.10622663543836e-14 y[1] (numeric) = -6.127737206540472e-14 absolute error = 2.151057110211241e-16 relative error = 0.3522727272727273 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.113859418732658e-14 y[1] (closed_form) = -6.113859418732658e-14 y[1] (numeric) = -6.13536998983477e-14 absolute error = 2.151057110211241e-16 relative error = 0.3518329361025991 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -6.121492202026956e-14 y[1] (closed_form) = -6.121492202026956e-14 y[1] (numeric) = -6.143002773129068e-14 absolute error = 2.151057110211241e-16 relative error = 0.3513942416685559 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.129124985321254e-14 y[1] (closed_form) = -6.129124985321254e-14 y[1] (numeric) = -6.150635556423366e-14 absolute error = 2.151057110211241e-16 relative error = 0.3509566398732029 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.136757768615552e-14 y[1] (closed_form) = -6.136757768615552e-14 y[1] (numeric) = -6.158268339717664e-14 absolute error = 2.151057110211241e-16 relative error = 0.3505201266395297 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.144390551909849e-14 y[1] (closed_form) = -6.144390551909849e-14 y[1] (numeric) = -6.165901123011962e-14 absolute error = 2.151057110211241e-16 relative error = 0.3500846979107849 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.152023335204147e-14 y[1] (closed_form) = -6.152023335204147e-14 y[1] (numeric) = -6.17353390630626e-14 absolute error = 2.151057110211241e-16 relative error = 0.3496503496503497 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.159656118498445e-14 y[1] (closed_form) = -6.159656118498445e-14 y[1] (numeric) = -6.181166689600558e-14 absolute error = 2.151057110211241e-16 relative error = 0.3492170778416132 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.167288901792743e-14 y[1] (closed_form) = -6.167288901792743e-14 y[1] (numeric) = -6.188799472894856e-14 absolute error = 2.151057110211241e-16 relative error = 0.3487848784878488 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -6.174921685087041e-14 y[1] (closed_form) = -6.174921685087041e-14 y[1] (numeric) = -6.196432256189154e-14 absolute error = 2.151057110211241e-16 relative error = 0.3483537476120913 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -6.182554468381339e-14 y[1] (closed_form) = -6.182554468381339e-14 y[1] (numeric) = -6.204065039483452e-14 absolute error = 2.151057110211241e-16 relative error = 0.3479236812570147 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -6.190187251675637e-14 y[1] (closed_form) = -6.190187251675637e-14 y[1] (numeric) = -6.21169782277775e-14 absolute error = 2.151057110211241e-16 relative error = 0.3474946754848112 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -6.197820034969935e-14 y[1] (closed_form) = -6.197820034969935e-14 y[1] (numeric) = -6.219330606072048e-14 absolute error = 2.151057110211241e-16 relative error = 0.3470667263770713 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -6.205452818264233e-14 y[1] (closed_form) = -6.205452818264233e-14 y[1] (numeric) = -6.226963389366345e-14 absolute error = 2.151057110211241e-16 relative error = 0.346639830034664 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.213085601558531e-14 y[1] (closed_form) = -6.213085601558531e-14 y[1] (numeric) = -6.234596172660643e-14 absolute error = 2.151057110211241e-16 relative error = 0.346213982577619 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.220718384852829e-14 y[1] (closed_form) = -6.220718384852829e-14 y[1] (numeric) = -6.242228955954941e-14 absolute error = 2.151057110211241e-16 relative error = 0.3457891801450084 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.228351168147127e-14 y[1] (closed_form) = -6.228351168147127e-14 y[1] (numeric) = -6.249861739249239e-14 absolute error = 2.151057110211241e-16 relative error = 0.3453654188948307 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -6.235983951441425e-14 y[1] (closed_form) = -6.235983951441425e-14 y[1] (numeric) = -6.257494522543537e-14 absolute error = 2.151057110211241e-16 relative error = 0.3449426950038946 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.243616734735723e-14 y[1] (closed_form) = -6.243616734735723e-14 y[1] (numeric) = -6.265127305837835e-14 absolute error = 2.151057110211241e-16 relative error = 0.344521004667704 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.251249518030021e-14 y[1] (closed_form) = -6.251249518030021e-14 y[1] (numeric) = -6.272760089132133e-14 absolute error = 2.151057110211241e-16 relative error = 0.3441003441003442 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.258882301324319e-14 y[1] (closed_form) = -6.258882301324319e-14 y[1] (numeric) = -6.280392872426431e-14 absolute error = 2.151057110211241e-16 relative error = 0.3436807095343681 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.266515084618617e-14 y[1] (closed_form) = -6.266515084618617e-14 y[1] (numeric) = -6.288025655720729e-14 absolute error = 2.151057110211241e-16 relative error = 0.3432620972206844 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.274147867912915e-14 y[1] (closed_form) = -6.274147867912915e-14 y[1] (numeric) = -6.295658439015027e-14 absolute error = 2.151057110211241e-16 relative error = 0.3428445034284451 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.281780651207213e-14 y[1] (closed_form) = -6.281780651207213e-14 y[1] (numeric) = -6.303291222309325e-14 absolute error = 2.151057110211241e-16 relative error = 0.3424279244449355 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.289413434501511e-14 y[1] (closed_form) = -6.289413434501511e-14 y[1] (numeric) = -6.310924005603623e-14 absolute error = 2.151057110211241e-16 relative error = 0.3420123565754634 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.297046217795808e-14 y[1] (closed_form) = -6.297046217795808e-14 y[1] (numeric) = -6.318556788897921e-14 absolute error = 2.151057110211241e-16 relative error = 0.3415977961432508 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.304679001090106e-14 y[1] (closed_form) = -6.304679001090106e-14 y[1] (numeric) = -6.326189572192219e-14 absolute error = 2.151057110211241e-16 relative error = 0.3411842394893243 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.312311784384404e-14 y[1] (closed_form) = -6.312311784384404e-14 y[1] (numeric) = -6.333822355486517e-14 absolute error = 2.151057110211241e-16 relative error = 0.3407716829724086 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.319944567678702e-14 y[1] (closed_form) = -6.319944567678702e-14 y[1] (numeric) = -6.341455138780815e-14 absolute error = 2.151057110211241e-16 relative error = 0.3403601229688187 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.327577350973e-14 y[1] (closed_form) = -6.327577350973e-14 y[1] (numeric) = -6.349087922075113e-14 absolute error = 2.151057110211241e-16 relative error = 0.3399495558723545 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -6.335210134267298e-14 y[1] (closed_form) = -6.335210134267298e-14 y[1] (numeric) = -6.356720705369411e-14 absolute error = 2.151057110211241e-16 relative error = 0.339539978094195 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.342842917561596e-14 y[1] (closed_form) = -6.342842917561596e-14 y[1] (numeric) = -6.364353488663709e-14 absolute error = 2.151057110211241e-16 relative error = 0.3391313860627941 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.350475700855894e-14 y[1] (closed_form) = -6.350475700855894e-14 y[1] (numeric) = -6.371986271958007e-14 absolute error = 2.151057110211241e-16 relative error = 0.3387237762237763 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -6.358108484150192e-14 y[1] (closed_form) = -6.358108484150192e-14 y[1] (numeric) = -6.379619055252305e-14 absolute error = 2.151057110211241e-16 relative error = 0.3383171450398342 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.36574126744449e-14 y[1] (closed_form) = -6.36574126744449e-14 y[1] (numeric) = -6.387251838546602e-14 absolute error = 2.151057110211241e-16 relative error = 0.3379114889906257 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.373374050738788e-14 y[1] (closed_form) = -6.373374050738788e-14 y[1] (numeric) = -6.3948846218409e-14 absolute error = 2.151057110211241e-16 relative error = 0.3375068045726729 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.381006834033086e-14 y[1] (closed_form) = -6.381006834033086e-14 y[1] (numeric) = -6.402517405135198e-14 absolute error = 2.151057110211241e-16 relative error = 0.3371030882992606 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.388639617327384e-14 y[1] (closed_form) = -6.388639617327384e-14 y[1] (numeric) = -6.410150188429496e-14 absolute error = 2.151057110211241e-16 relative error = 0.3367003367003368 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.396272400621682e-14 y[1] (closed_form) = -6.396272400621682e-14 y[1] (numeric) = -6.417782971723794e-14 absolute error = 2.151057110211241e-16 relative error = 0.3362985463224127 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.40390518391598e-14 y[1] (closed_form) = -6.40390518391598e-14 y[1] (numeric) = -6.425415755018092e-14 absolute error = 2.151057110211241e-16 relative error = 0.3358977137284647 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.411537967210278e-14 y[1] (closed_form) = -6.411537967210278e-14 y[1] (numeric) = -6.43304853831239e-14 absolute error = 2.151057110211241e-16 relative error = 0.3354978354978356 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-15 TOP MAIN SOLVE Loop x[1] = -6.419170750504576e-14 y[1] (closed_form) = -6.419170750504576e-14 y[1] (numeric) = -6.440681321606688e-14 absolute error = 2.151057110211241e-16 relative error = 0.3350989082261378 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.426803533798874e-14 y[1] (closed_form) = -6.426803533798874e-14 y[1] (numeric) = -6.448314104900986e-14 absolute error = 2.151057110211241e-16 relative error = 0.3347009285251566 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.434436317093172e-14 y[1] (closed_form) = -6.434436317093172e-14 y[1] (numeric) = -6.455946888195284e-14 absolute error = 2.151057110211241e-16 relative error = 0.3343038930227543 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.44206910038747e-14 y[1] (closed_form) = -6.44206910038747e-14 y[1] (numeric) = -6.463579671489582e-14 absolute error = 2.151057110211241e-16 relative error = 0.3339077983627747 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -6.449701883681768e-14 y[1] (closed_form) = -6.449701883681768e-14 y[1] (numeric) = -6.47121245478388e-14 absolute error = 2.151057110211241e-16 relative error = 0.3335126412049489 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.457334666976065e-14 y[1] (closed_form) = -6.457334666976065e-14 y[1] (numeric) = -6.478845238078178e-14 absolute error = 2.151057110211241e-16 relative error = 0.3331184182248013 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.464967450270363e-14 y[1] (closed_form) = -6.464967450270363e-14 y[1] (numeric) = -6.486478021372476e-14 absolute error = 2.151057110211241e-16 relative error = 0.3327251261135559 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.472600233564661e-14 y[1] (closed_form) = -6.472600233564661e-14 y[1] (numeric) = -6.494110804666774e-14 absolute error = 2.151057110211241e-16 relative error = 0.3323327615780446 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -6.480233016858959e-14 y[1] (closed_form) = -6.480233016858959e-14 y[1] (numeric) = -6.501743587961072e-14 absolute error = 2.151057110211241e-16 relative error = 0.3319413213406147 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.487865800153257e-14 y[1] (closed_form) = -6.487865800153257e-14 y[1] (numeric) = -6.50937637125537e-14 absolute error = 2.151057110211241e-16 relative error = 0.3315508021390375 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -6.495498583447555e-14 y[1] (closed_form) = -6.495498583447555e-14 y[1] (numeric) = -6.517009154549668e-14 absolute error = 2.151057110211241e-16 relative error = 0.3311612007264182 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.332e-14 TOP MAIN SOLVE Loop x[1] = -6.503131366741853e-14 y[1] (closed_form) = -6.503131366741853e-14 y[1] (numeric) = -6.524641937843966e-14 absolute error = 2.151057110211241e-16 relative error = 0.3307725138711055 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.510764150036151e-14 y[1] (closed_form) = -6.510764150036151e-14 y[1] (numeric) = -6.532274721138264e-14 absolute error = 2.151057110211241e-16 relative error = 0.3303847383566024 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.518396933330449e-14 y[1] (closed_form) = -6.518396933330449e-14 y[1] (numeric) = -6.539907504432561e-14 absolute error = 2.151057110211241e-16 relative error = 0.3299978709814776 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.526029716624747e-14 y[1] (closed_form) = -6.526029716624747e-14 y[1] (numeric) = -6.547540287726859e-14 absolute error = 2.151057110211241e-16 relative error = 0.329611908559277 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.533662499919045e-14 y[1] (closed_form) = -6.533662499919045e-14 y[1] (numeric) = -6.555173071021157e-14 absolute error = 2.151057110211241e-16 relative error = 0.3292268479184368 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -6.541295283213343e-14 y[1] (closed_form) = -6.541295283213343e-14 y[1] (numeric) = -6.562805854315455e-14 absolute error = 2.151057110211241e-16 relative error = 0.3288426859021959 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.548928066507641e-14 y[1] (closed_form) = -6.548928066507641e-14 y[1] (numeric) = -6.570438637609753e-14 absolute error = 2.151057110211241e-16 relative error = 0.3284594193685104 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.556560849801939e-14 y[1] (closed_form) = -6.556560849801939e-14 y[1] (numeric) = -6.578071420904051e-14 absolute error = 2.151057110211241e-16 relative error = 0.3280770451899673 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.564193633096237e-14 y[1] (closed_form) = -6.564193633096237e-14 y[1] (numeric) = -6.585704204198349e-14 absolute error = 2.151057110211241e-16 relative error = 0.3276955602536998 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.571826416390535e-14 y[1] (closed_form) = -6.571826416390535e-14 y[1] (numeric) = -6.593336987492647e-14 absolute error = 2.151057110211241e-16 relative error = 0.327314961461303 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.579459199684833e-14 y[1] (closed_form) = -6.579459199684833e-14 y[1] (numeric) = -6.600969770786945e-14 absolute error = 2.151057110211241e-16 relative error = 0.3269352457287493 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.587091982979131e-14 y[1] (closed_form) = -6.587091982979131e-14 y[1] (numeric) = -6.608602554081243e-14 absolute error = 2.151057110211241e-16 relative error = 0.3265564099863058 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -6.594724766273429e-14 y[1] (closed_form) = -6.594724766273429e-14 y[1] (numeric) = -6.616235337375541e-14 absolute error = 2.151057110211241e-16 relative error = 0.3261784511784512 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -6.602357549567727e-14 y[1] (closed_form) = -6.602357549567727e-14 y[1] (numeric) = -6.623868120669839e-14 absolute error = 2.151057110211241e-16 relative error = 0.3258013662637941 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -6.609990332862024e-14 y[1] (closed_form) = -6.609990332862024e-14 y[1] (numeric) = -6.631500903964137e-14 absolute error = 2.151057110211241e-16 relative error = 0.3254251522149906 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.617623116156322e-14 y[1] (closed_form) = -6.617623116156322e-14 y[1] (numeric) = -6.639133687258435e-14 absolute error = 2.151057110211241e-16 relative error = 0.3250498060186642 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.62525589945062e-14 y[1] (closed_form) = -6.62525589945062e-14 y[1] (numeric) = -6.646766470552733e-14 absolute error = 2.151057110211241e-16 relative error = 0.3246753246753247 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.632888682744918e-14 y[1] (closed_form) = -6.632888682744918e-14 y[1] (numeric) = -6.654399253847031e-14 absolute error = 2.151057110211241e-16 relative error = 0.3243017051992887 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -6.640521466039216e-14 y[1] (closed_form) = -6.640521466039216e-14 y[1] (numeric) = -6.662032037141329e-14 absolute error = 2.151057110211241e-16 relative error = 0.3239289446185998 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -6.648154249333514e-14 y[1] (closed_form) = -6.648154249333514e-14 y[1] (numeric) = -6.669664820435627e-14 absolute error = 2.151057110211241e-16 relative error = 0.3235570399749505 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.655787032627812e-14 y[1] (closed_form) = -6.655787032627812e-14 y[1] (numeric) = -6.677297603729925e-14 absolute error = 2.151057110211241e-16 relative error = 0.3231859883236031 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.66341981592211e-14 y[1] (closed_form) = -6.66341981592211e-14 y[1] (numeric) = -6.684930387024223e-14 absolute error = 2.151057110211241e-16 relative error = 0.3228157867333126 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.671052599216408e-14 y[1] (closed_form) = -6.671052599216408e-14 y[1] (numeric) = -6.692563170318521e-14 absolute error = 2.151057110211241e-16 relative error = 0.3224464322862493 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.678685382510706e-14 y[1] (closed_form) = -6.678685382510706e-14 y[1] (numeric) = -6.700195953612818e-14 absolute error = 2.151057110211241e-16 relative error = 0.3220779220779221 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.686318165805004e-14 y[1] (closed_form) = -6.686318165805004e-14 y[1] (numeric) = -6.707828736907116e-14 absolute error = 2.151057110211241e-16 relative error = 0.3217102532171026 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.693950949099302e-14 y[1] (closed_form) = -6.693950949099302e-14 y[1] (numeric) = -6.715461520201414e-14 absolute error = 2.151057110211241e-16 relative error = 0.321343422825749 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -6.7015837323936e-14 y[1] (closed_form) = -6.7015837323936e-14 y[1] (numeric) = -6.723094303495712e-14 absolute error = 2.151057110211241e-16 relative error = 0.3209774280389315 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.709216515687898e-14 y[1] (closed_form) = -6.709216515687898e-14 y[1] (numeric) = -6.73072708679001e-14 absolute error = 2.151057110211241e-16 relative error = 0.3206122660047575 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.716849298982196e-14 y[1] (closed_form) = -6.716849298982196e-14 y[1] (numeric) = -6.738359870084308e-14 absolute error = 2.151057110211241e-16 relative error = 0.3202479338842976 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -6.724482082276494e-14 y[1] (closed_form) = -6.724482082276494e-14 y[1] (numeric) = -6.745992653378606e-14 absolute error = 2.151057110211241e-16 relative error = 0.3198844288515117 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.243e-14 TOP MAIN SOLVE Loop x[1] = -6.732114865570792e-14 y[1] (closed_form) = -6.732114865570792e-14 y[1] (numeric) = -6.753625436672904e-14 absolute error = 2.151057110211241e-16 relative error = 0.3195217480931767 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-15 TOP MAIN SOLVE Loop x[1] = -6.73974764886509e-14 y[1] (closed_form) = -6.73974764886509e-14 y[1] (numeric) = -6.761258219967202e-14 absolute error = 2.151057110211241e-16 relative error = 0.319159888808813 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.747380432159388e-14 y[1] (closed_form) = -6.747380432159388e-14 y[1] (numeric) = -6.7688910032615e-14 absolute error = 2.151057110211241e-16 relative error = 0.318798848210613 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.755013215453686e-14 y[1] (closed_form) = -6.755013215453686e-14 y[1] (numeric) = -6.776523786555798e-14 absolute error = 2.151057110211241e-16 relative error = 0.3184386235233693 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -6.762645998747984e-14 y[1] (closed_form) = -6.762645998747984e-14 y[1] (numeric) = -6.784156569850096e-14 absolute error = 2.151057110211241e-16 relative error = 0.3180792119844039 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.770278782042281e-14 y[1] (closed_form) = -6.770278782042281e-14 y[1] (numeric) = -6.791789353144394e-14 absolute error = 2.151057110211241e-16 relative error = 0.317720610843497 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.777911565336579e-14 y[1] (closed_form) = -6.777911565336579e-14 y[1] (numeric) = -6.799422136438692e-14 absolute error = 2.151057110211241e-16 relative error = 0.3173628173628174 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -6.785544348630877e-14 y[1] (closed_form) = -6.785544348630877e-14 y[1] (numeric) = -6.80705491973299e-14 absolute error = 2.151057110211241e-16 relative error = 0.3170058288168525 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.793177131925175e-14 y[1] (closed_form) = -6.793177131925175e-14 y[1] (numeric) = -6.814687703027288e-14 absolute error = 2.151057110211241e-16 relative error = 0.3166496424923392 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.800809915219473e-14 y[1] (closed_form) = -6.800809915219473e-14 y[1] (numeric) = -6.822320486321586e-14 absolute error = 2.151057110211241e-16 relative error = 0.3162942556881951 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.808442698513771e-14 y[1] (closed_form) = -6.808442698513771e-14 y[1] (numeric) = -6.829953269615884e-14 absolute error = 2.151057110211241e-16 relative error = 0.3159396657154505 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.994e-15 TOP MAIN SOLVE Loop x[1] = -6.816075481808069e-14 y[1] (closed_form) = -6.816075481808069e-14 y[1] (numeric) = -6.837586052910182e-14 absolute error = 2.151057110211241e-16 relative error = 0.3155858698971801 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.823708265102367e-14 y[1] (closed_form) = -6.823708265102367e-14 y[1] (numeric) = -6.84521883620448e-14 absolute error = 2.151057110211241e-16 relative error = 0.3152328655684361 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.831341048396665e-14 y[1] (closed_form) = -6.831341048396665e-14 y[1] (numeric) = -6.852851619498777e-14 absolute error = 2.151057110211241e-16 relative error = 0.3148806500761809 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -6.838973831690963e-14 y[1] (closed_form) = -6.838973831690963e-14 y[1] (numeric) = -6.860484402793075e-14 absolute error = 2.151057110211241e-16 relative error = 0.3145292207792209 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.846606614985261e-14 y[1] (closed_form) = -6.846606614985261e-14 y[1] (numeric) = -6.868117186087373e-14 absolute error = 2.151057110211241e-16 relative error = 0.3141785750481403 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -6.854239398279559e-14 y[1] (closed_form) = -6.854239398279559e-14 y[1] (numeric) = -6.875749969381671e-14 absolute error = 2.151057110211241e-16 relative error = 0.313828710265236 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.861872181573857e-14 y[1] (closed_form) = -6.861872181573857e-14 y[1] (numeric) = -6.883382752675969e-14 absolute error = 2.151057110211241e-16 relative error = 0.3134796238244515 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -9.77e-15 TOP MAIN SOLVE Loop x[1] = -6.869504964868155e-14 y[1] (closed_form) = -6.869504964868155e-14 y[1] (numeric) = -6.891015535970267e-14 absolute error = 2.151057110211241e-16 relative error = 0.3131313131313132 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.877137748162453e-14 y[1] (closed_form) = -6.877137748162453e-14 y[1] (numeric) = -6.898648319264565e-14 absolute error = 2.151057110211241e-16 relative error = 0.3127837756028656 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.884770531456751e-14 y[1] (closed_form) = -6.884770531456751e-14 y[1] (numeric) = -6.906281102558863e-14 absolute error = 2.151057110211241e-16 relative error = 0.3124370086676074 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -6.892403314751049e-14 y[1] (closed_form) = -6.892403314751049e-14 y[1] (numeric) = -6.913913885853161e-14 absolute error = 2.151057110211241e-16 relative error = 0.3120910097654284 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.900036098045347e-14 y[1] (closed_form) = -6.900036098045347e-14 y[1] (numeric) = -6.921546669147459e-14 absolute error = 2.151057110211241e-16 relative error = 0.3117457763475463 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -6.907668881339645e-14 y[1] (closed_form) = -6.907668881339645e-14 y[1] (numeric) = -6.929179452441757e-14 absolute error = 2.151057110211241e-16 relative error = 0.311401305876444 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.915301664633943e-14 y[1] (closed_form) = -6.915301664633943e-14 y[1] (numeric) = -6.936812235736055e-14 absolute error = 2.151057110211241e-16 relative error = 0.3110575958258078 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -6.92293444792824e-14 y[1] (closed_form) = -6.92293444792824e-14 y[1] (numeric) = -6.944445019030353e-14 absolute error = 2.151057110211241e-16 relative error = 0.3107146436804651 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.930567231222538e-14 y[1] (closed_form) = -6.930567231222538e-14 y[1] (numeric) = -6.952077802324651e-14 absolute error = 2.151057110211241e-16 relative error = 0.3103724469363237 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.938200014516836e-14 y[1] (closed_form) = -6.938200014516836e-14 y[1] (numeric) = -6.959710585618949e-14 absolute error = 2.151057110211241e-16 relative error = 0.3100310031003101 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.945832797811134e-14 y[1] (closed_form) = -6.945832797811134e-14 y[1] (numeric) = -6.967343368913247e-14 absolute error = 2.151057110211241e-16 relative error = 0.3096903096903098 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -6.953465581105432e-14 y[1] (closed_form) = -6.953465581105432e-14 y[1] (numeric) = -6.974976152207545e-14 absolute error = 2.151057110211241e-16 relative error = 0.3093503642351063 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.96109836439973e-14 y[1] (closed_form) = -6.96109836439973e-14 y[1] (numeric) = -6.982608935501843e-14 absolute error = 2.151057110211241e-16 relative error = 0.3090111642743222 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -6.968731147694028e-14 y[1] (closed_form) = -6.968731147694028e-14 y[1] (numeric) = -6.990241718796141e-14 absolute error = 2.151057110211241e-16 relative error = 0.3086727073583591 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -6.976363930988326e-14 y[1] (closed_form) = -6.976363930988326e-14 y[1] (numeric) = -6.997874502090439e-14 absolute error = 2.151057110211241e-16 relative error = 0.308334991048339 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -6.983996714282624e-14 y[1] (closed_form) = -6.983996714282624e-14 y[1] (numeric) = -7.005507285384737e-14 absolute error = 2.151057110211241e-16 relative error = 0.3079980129160458 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -6.991629497576922e-14 y[1] (closed_form) = -6.991629497576922e-14 y[1] (numeric) = -7.013140068679034e-14 absolute error = 2.151057110211241e-16 relative error = 0.3076617705438667 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -6.99926228087122e-14 y[1] (closed_form) = -6.99926228087122e-14 y[1] (numeric) = -7.020772851973332e-14 absolute error = 2.151057110211241e-16 relative error = 0.3073262615247349 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -7.006895064165518e-14 y[1] (closed_form) = -7.006895064165518e-14 y[1] (numeric) = -7.02840563526763e-14 absolute error = 2.151057110211241e-16 relative error = 0.3069914834620718 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -7.014527847459816e-14 y[1] (closed_form) = -7.014527847459816e-14 y[1] (numeric) = -7.036038418561928e-14 absolute error = 2.151057110211241e-16 relative error = 0.30665743396973 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -7.022160630754114e-14 y[1] (closed_form) = -7.022160630754114e-14 y[1] (numeric) = -7.043671201856226e-14 absolute error = 2.151057110211241e-16 relative error = 0.3063241106719368 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -7.029793414048412e-14 y[1] (closed_form) = -7.029793414048412e-14 y[1] (numeric) = -7.051303985150524e-14 absolute error = 2.151057110211241e-16 relative error = 0.3059915112032376 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.03742619734271e-14 y[1] (closed_form) = -7.03742619734271e-14 y[1] (numeric) = -7.058936768444822e-14 absolute error = 2.151057110211241e-16 relative error = 0.3056596332084402 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -7.045058980637008e-14 y[1] (closed_form) = -7.045058980637008e-14 y[1] (numeric) = -7.06656955173912e-14 absolute error = 2.151057110211241e-16 relative error = 0.3053284743425589 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.052691763931306e-14 y[1] (closed_form) = -7.052691763931306e-14 y[1] (numeric) = -7.074202335033418e-14 absolute error = 2.151057110211241e-16 relative error = 0.3049980322707596 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 7.105e-15 TOP MAIN SOLVE Loop x[1] = -7.060324547225604e-14 y[1] (closed_form) = -7.060324547225604e-14 y[1] (numeric) = -7.081835118327716e-14 absolute error = 2.151057110211241e-16 relative error = 0.3046683046683047 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.066e-14 TOP MAIN SOLVE Loop x[1] = -7.067957330519902e-14 y[1] (closed_form) = -7.067957330519902e-14 y[1] (numeric) = -7.089467901622014e-14 absolute error = 2.151057110211241e-16 relative error = 0.3043392892204988 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-15 TOP MAIN SOLVE Loop x[1] = -7.0755901138142e-14 y[1] (closed_form) = -7.0755901138142e-14 y[1] (numeric) = -7.097100684916312e-14 absolute error = 2.151057110211241e-16 relative error = 0.3040109836226342 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -7.083222897108497e-14 y[1] (closed_form) = -7.083222897108497e-14 y[1] (numeric) = -7.10473346821061e-14 absolute error = 2.151057110211241e-16 relative error = 0.3036833855799373 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -1.776e-15 TOP MAIN SOLVE Loop x[1] = -7.090855680402795e-14 y[1] (closed_form) = -7.090855680402795e-14 y[1] (numeric) = -7.112366251504908e-14 absolute error = 2.151057110211241e-16 relative error = 0.3033564928075155 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -7.098488463697093e-14 y[1] (closed_form) = -7.098488463697093e-14 y[1] (numeric) = -7.119999034799206e-14 absolute error = 2.151057110211241e-16 relative error = 0.3030303030303031 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -7.106121246991391e-14 y[1] (closed_form) = -7.106121246991391e-14 y[1] (numeric) = -7.127631818093504e-14 absolute error = 2.151057110211241e-16 relative error = 0.3027048139830095 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 6.217e-15 TOP MAIN SOLVE Loop x[1] = -7.113754030285689e-14 y[1] (closed_form) = -7.113754030285689e-14 y[1] (numeric) = -7.135264601387802e-14 absolute error = 2.151057110211241e-16 relative error = 0.3023800234100664 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 8.882e-16 TOP MAIN SOLVE Loop x[1] = -7.121386813579987e-14 y[1] (closed_form) = -7.121386813579987e-14 y[1] (numeric) = -7.1428973846821e-14 absolute error = 2.151057110211241e-16 relative error = 0.3020559290655754 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -5.329e-15 TOP MAIN SOLVE Loop x[1] = -7.129019596874285e-14 y[1] (closed_form) = -7.129019596874285e-14 y[1] (numeric) = -7.150530167976398e-14 absolute error = 2.151057110211241e-16 relative error = 0.3017325287132568 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.136652380168583e-14 y[1] (closed_form) = -7.136652380168583e-14 y[1] (numeric) = -7.158162951270696e-14 absolute error = 2.151057110211241e-16 relative error = 0.3014098201263977 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.144285163462881e-14 y[1] (closed_form) = -7.144285163462881e-14 y[1] (numeric) = -7.165795734564993e-14 absolute error = 2.151057110211241e-16 relative error = 0.3010878010878011 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -7.151917946757179e-14 y[1] (closed_form) = -7.151917946757179e-14 y[1] (numeric) = -7.173428517859291e-14 absolute error = 2.151057110211241e-16 relative error = 0.3007664693897352 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -7.159550730051477e-14 y[1] (closed_form) = -7.159550730051477e-14 y[1] (numeric) = -7.181061301153589e-14 absolute error = 2.151057110211241e-16 relative error = 0.3004458228338826 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.167183513345775e-14 y[1] (closed_form) = -7.167183513345775e-14 y[1] (numeric) = -7.188694084447887e-14 absolute error = 2.151057110211241e-16 relative error = 0.3001258592312906 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 0 TOP MAIN SOLVE Loop x[1] = -7.174816296640073e-14 y[1] (closed_form) = -7.174816296640073e-14 y[1] (numeric) = -7.196326867742185e-14 absolute error = 2.151057110211241e-16 relative error = 0.2998065764023211 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -7.182449079934371e-14 y[1] (closed_form) = -7.182449079934371e-14 y[1] (numeric) = -7.203959651036483e-14 absolute error = 2.151057110211241e-16 relative error = 0.2994879721766013 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.190081863228669e-14 y[1] (closed_form) = -7.190081863228669e-14 y[1] (numeric) = -7.211592434330781e-14 absolute error = 2.151057110211241e-16 relative error = 0.2991700443929744 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -4.441e-15 TOP MAIN SOLVE Loop x[1] = -7.197714646522967e-14 y[1] (closed_form) = -7.197714646522967e-14 y[1] (numeric) = -7.219225217625079e-14 absolute error = 2.151057110211241e-16 relative error = 0.2988527908994505 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.776e-15 TOP MAIN SOLVE Loop x[1] = -7.205347429817265e-14 y[1] (closed_form) = -7.205347429817265e-14 y[1] (numeric) = -7.226858000919377e-14 absolute error = 2.151057110211241e-16 relative error = 0.2985362095531587 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -7.212980213111563e-14 y[1] (closed_form) = -7.212980213111563e-14 y[1] (numeric) = -7.234490784213675e-14 absolute error = 2.151057110211241e-16 relative error = 0.2982202982202983 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -7.220612996405861e-14 y[1] (closed_form) = -7.220612996405861e-14 y[1] (numeric) = -7.242123567507973e-14 absolute error = 2.151057110211241e-16 relative error = 0.2979050547760907 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.228245779700159e-14 y[1] (closed_form) = -7.228245779700159e-14 y[1] (numeric) = -7.249756350802271e-14 absolute error = 2.151057110211241e-16 relative error = 0.2975904771047327 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.105e-15 TOP MAIN SOLVE Loop x[1] = -7.235878562994456e-14 y[1] (closed_form) = -7.235878562994456e-14 y[1] (numeric) = -7.257389134096569e-14 absolute error = 2.151057110211241e-16 relative error = 0.297276563099348 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 1.421e-14 TOP MAIN SOLVE Loop x[1] = -7.243511346288754e-14 y[1] (closed_form) = -7.243511346288754e-14 y[1] (numeric) = -7.265021917390867e-14 absolute error = 2.151057110211241e-16 relative error = 0.2969633106619409 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 5.329e-15 TOP MAIN SOLVE Loop x[1] = -7.251144129583052e-14 y[1] (closed_form) = -7.251144129583052e-14 y[1] (numeric) = -7.272654700685165e-14 absolute error = 2.151057110211241e-16 relative error = 0.2966507177033493 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.25877691287735e-14 y[1] (closed_form) = -7.25877691287735e-14 y[1] (numeric) = -7.280287483979463e-14 absolute error = 2.151057110211241e-16 relative error = 0.2963387821431986 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 3.553e-15 TOP MAIN SOLVE Loop x[1] = -7.266409696171648e-14 y[1] (closed_form) = -7.266409696171648e-14 y[1] (numeric) = -7.287920267273761e-14 absolute error = 2.151057110211241e-16 relative error = 0.2960275019098549 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 TOP MAIN SOLVE Loop x[1] = -7.274042479465946e-14 y[1] (closed_form) = -7.274042479465946e-14 y[1] (numeric) = -7.295553050568059e-14 absolute error = 2.151057110211241e-16 relative error = 0.2957168749403797 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -2.665e-15 TOP MAIN SOLVE Loop x[1] = -7.281675262760244e-14 y[1] (closed_form) = -7.281675262760244e-14 y[1] (numeric) = -7.303185833862357e-14 absolute error = 2.151057110211241e-16 relative error = 0.2954068991804841 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -7.994e-15 TOP MAIN SOLVE Loop x[1] = -7.289308046054542e-14 y[1] (closed_form) = -7.289308046054542e-14 y[1] (numeric) = -7.310818617156655e-14 absolute error = 2.151057110211241e-16 relative error = 0.2950975725844836 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -6.217e-15 TOP MAIN SOLVE Loop x[1] = -7.29694082934884e-14 y[1] (closed_form) = -7.29694082934884e-14 y[1] (numeric) = -7.318451400450953e-14 absolute error = 2.151057110211241e-16 relative error = 0.294788893115253 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = 4.441e-15 TOP MAIN SOLVE Loop x[1] = -7.304573612643138e-14 y[1] (closed_form) = -7.304573612643138e-14 y[1] (numeric) = -7.32608418374525e-14 absolute error = 2.151057110211241e-16 relative error = 0.2944808587441817 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -7.312206395937436e-14 y[1] (closed_form) = -7.312206395937436e-14 y[1] (numeric) = -7.333716967039548e-14 absolute error = 2.151057110211241e-16 relative error = 0.2941734674511293 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -3.553e-15 TOP MAIN SOLVE Loop x[1] = -7.319839179231734e-14 y[1] (closed_form) = -7.319839179231734e-14 y[1] (numeric) = -7.341349750333846e-14 absolute error = 2.151057110211241e-16 relative error = 0.2938667172243815 % Desired digits = 8 Estimated correct digits = 0 Correct digits = 3 h = -7.632783294297948e-17 Radius of convergence (given) for eq 1 = 1 Order of pole (given) = 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 = 1 Order of pole (six term test) = -8.882e-16 Finished! Maximum Iterations Reached before Solution Completed! diff ( y , x , 1 ) = 1.0 / ( x * x + 1.0 ) ; Iterations = 1000 Total Elapsed Time = 0.0 Seconds Elapsed Time(since restart) = 0.0 Seconds Expected Time Remaining = -0.0 Seconds Optimized Time Remaining = -0.0 Seconds Expected Total Time = 0.0 Seconds Time to Timeout = 20 Minutes 0.0 Seconds Percent Done = -300 %