##############ECHO OF PROBLEM################# ##############temp/div_lin_linpostode.ode################# diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3); ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.1 x_end=5.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 $glob_display_interval=0.1 $glob_max_minutes=10 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(0.5 * x + 0.25 * ln(2.0 * x + 3.0)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 4.9 estimated_steps 4900000.000000001 step_error 2.040816326530612e-17 est_needed_step_err 2.040816326530612e-17 opt_iter 1 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.74074920572346e-164 estimated_step_error 4.74074920572346e-164 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.1814619796659346e-156 estimated_step_error 3.1814619796659346e-156 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.1350417081676905e-148 estimated_step_error 2.1350417081676905e-148 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.4328005116123343e-140 estimated_step_error 1.4328005116123343e-140 best_h 1.6e-05 opt_iter 5 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 9.61533831931152e-133 estimated_step_error 9.61533831931152e-133 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 6.452713247377525e-125 estimated_step_error 6.452713247377525e-125 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 4.330300858702338e-117 estimated_step_error 4.330300858702338e-117 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.905959748507633e-109 estimated_step_error 2.905959748507633e-109 best_h 0.000256 opt_iter 9 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.9500814641776215e-101 estimated_step_error 1.9500814641776215e-101 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.3085767166128033e-93 estimated_step_error 1.3085767166128033e-93 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 8.780357074974573e-86 estimated_step_error 8.780357074974573e-86 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.890583278514203e-78 estimated_step_error 5.890583278514203e-78 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.950670250039402e-70 estimated_step_error 3.950670250039402e-70 best_h 0.008192 opt_iter 14 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.6479901017012834e-62 estimated_step_error 2.6479901017012834e-62 best_h 0.016384 opt_iter 15 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.77267707624364e-54 estimated_step_error 1.77267707624364e-54 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1838165484769513e-46 estimated_step_error 1.1838165484769513e-46 best_h 0.065536 opt_iter 17 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 7.86769122722829e-39 estimated_step_error 7.86769122722829e-39 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 5.180028453200544e-31 estimated_step_error 5.180028453200544e-31 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 0.3407877024514202 y[1] (numeric) 0.3407877024514202 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6727272727272726 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 0.34734533988907923 y[1] (numeric) 0.34734533988907923 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6831818181818186 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 0.35389333245105953 y[1] (numeric) 0.3538933324510595 absolute error 5.551115123125783e-17 relative error 1.5685842637042208e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6936363636363634 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 0.36043179884465404 y[1] (numeric) 0.36043179884465404 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7040909090909089 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 0.3669608555990131 y[1] (numeric) 0.36696085559901304 absolute error 5.551115123125783e-17 relative error 1.5127267768286486e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7145454545454546 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 0.37348061711810865 y[1] (numeric) 0.3734806171181086 absolute error 5.551115123125783e-17 relative error 1.486319468453248e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7250000000000003 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 11.361768173727041 Order of pole (six term test) -7.277698443886038e-10 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 0.37999119573209933 y[1] (numeric) 0.3799911957320993 absolute error 5.551115123125783e-17 relative error 1.4608536159452018e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7354545454545454 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 0.3864927017471523 y[1] (numeric) 0.3864927017471522 absolute error 5.551115123125783e-17 relative error 1.4362794169286493e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7459090909090913 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 0.3929852434937783 y[1] (numeric) 0.39298524349377817 absolute error 1.1102230246251565e-16 relative error 2.825101051517558e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7563636363636361 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 0.39946892737373185 y[1] (numeric) 0.3994689273737318 absolute error 5.551115123125783e-17 relative error 1.389623758628995e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7668181818181818 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 0.405943857905529 y[1] (numeric) 0.4059438579055289 absolute error 1.1102230246251565e-16 relative error 2.7349176567256424e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7772727272727276 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 0.4124101377686285 y[1] (numeric) 0.4124101377686284 absolute error 1.1102230246251565e-16 relative error 2.6920362109236436e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7877272727272728 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 0.4188678678463268 y[1] (numeric) 0.4188678678463267 absolute error 1.1102230246251565e-16 relative error 2.6505328048521317e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.7981818181818183 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 0.42531714726740827 y[1] (numeric) 0.42531714726740816 absolute error 1.1102230246251565e-16 relative error 2.6103415574898737e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8086363636363638 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 11.292704932512565 Order of pole (six term test) -6.650520134598992e-10 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 0.43175807344659584 y[1] (numeric) 0.43175807344659567 absolute error 1.6653345369377348e-16 relative error 3.857101092850138e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.819090909090909 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 0.43819074212384207 y[1] (numeric) 0.4381907421238419 absolute error 1.6653345369377348e-16 relative error 3.8004785972111563e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8295454545454548 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 0.4446152474025015 y[1] (numeric) 0.44461524740250136 absolute error 1.6653345369377348e-16 relative error 3.745563263218771e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8400000000000003 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 0.45103168178642083 y[1] (numeric) 0.4510316817864207 absolute error 1.1102230246251565e-16 relative error 2.4615189341641097e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8504545454545458 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 0.4574401362159849 y[1] (numeric) 0.4574401362159847 absolute error 1.6653345369377348e-16 relative error 3.640551856060638e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8609090909090913 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 0.4638407001031523 y[1] (numeric) 0.4638407001031522 absolute error 1.1102230246251565e-16 relative error 2.3935437842739046e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8713636363636366 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 0.4702334613655162 y[1] (numeric) 0.470233461365516 absolute error 1.6653345369377348e-16 relative error 3.541505813094949e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8818181818181818 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 0.47661850645942 y[1] (numeric) 0.4766185064594199 absolute error 1.1102230246251565e-16 relative error 2.3293745617905052e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.8922727272727273 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 0.48299592041216244 y[1] (numeric) 0.48299592041216227 absolute error 1.6653345369377348e-16 relative error 3.447926714405018e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9027272727272733 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 11.103511936708447 Order of pole (six term test) -6.163372034961867e-10 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 0.48936578685331883 y[1] (numeric) 0.48936578685331866 absolute error 1.6653345369377348e-16 relative error 3.40304651791462e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9131818181818185 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.066667842649212 Order of pole (six term test) -1.4735235254192958e-10 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 0.49572818804521 y[1] (numeric) 0.49572818804520985 absolute error 1.6653345369377348e-16 relative error 3.3593702700356784e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.923636363636364 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 0.5020832049125448 y[1] (numeric) 0.5020832049125447 absolute error 1.1102230246251565e-16 relative error 2.211233145746312e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9340909090909097 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 0.508430917071264 y[1] (numeric) 0.5084309170712638 absolute error 2.220446049250313e-16 relative error 4.367252215976247e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9445454545454548 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 0.5147714028566103 y[1] (numeric) 0.51477140285661 absolute error 2.220446049250313e-16 relative error 4.3134603766418216e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9550000000000005 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 0.5211047393504509 y[1] (numeric) 0.5211047393504507 absolute error 2.220446049250313e-16 relative error 4.261035990611149e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9654545454545458 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 0.5274310024078742 y[1] (numeric) 0.527431002407874 absolute error 2.220446049250313e-16 relative error 4.209927059868188e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9759090909090915 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 0.5337502666830851 y[1] (numeric) 0.5337502666830849 absolute error 2.220446049250313e-16 relative error 4.160084196395738e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9863636363636368 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 0.5400626056546212 y[1] (numeric) 0.5400626056546208 absolute error 3.3306690738754696e-16 relative error 6.167190690490959e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.9968181818181823 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 0.5463680916499091 y[1] (numeric) 0.5463680916499087 absolute error 3.3306690738754696e-16 relative error 6.096016814996638e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0072727272727273 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 0.5526667958691851 y[1] (numeric) 0.5526667958691848 absolute error 3.3306690738754696e-16 relative error 6.026540944326663e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.017727272727273 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 0.5589587884087956 y[1] (numeric) 0.5589587884087954 absolute error 2.220446049250313e-16 relative error 3.972468266526987e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0281818181818188 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 0.5652441382839004 y[1] (numeric) 0.5652441382839001 absolute error 3.3306690738754696e-16 relative error 5.892443367900265e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0386363636363636 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 0.571522913450593 y[1] (numeric) 0.5715229134505927 absolute error 3.3306690738754696e-16 relative error 5.827708733087215e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0490909090909093 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 0.5777951808274608 y[1] (numeric) 0.5777951808274605 absolute error 3.3306690738754696e-16 relative error 5.764445922005816e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.059545454545455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 0.5840610063165975 y[1] (numeric) 0.5840610063165972 absolute error 3.3306690738754696e-16 relative error 5.702604758500243e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0700000000000003 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 0.5903204548240868 y[1] (numeric) 0.5903204548240865 absolute error 3.3306690738754696e-16 relative error 5.6421373283905537e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0804545454545456 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 0.5965735902799729 y[1] (numeric) 0.5965735902799725 absolute error 4.440892098500626e-16 relative error 7.443997137748771e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.0909090909090917 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 5.00299220175089 Order of pole (six term test) -9.630696240492398e-11 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 0.6028204756577327 y[1] (numeric) 0.6028204756577322 absolute error 4.440892098500626e-16 relative error 7.366856763873529e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1013636363636365 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 0.6090611729932649 y[1] (numeric) 0.6090611729932645 absolute error 4.440892098500626e-16 relative error 7.291372846303132e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1118181818181827 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 0.6152957434034105 y[1] (numeric) 0.6152957434034101 absolute error 4.440892098500626e-16 relative error 7.217491988383567e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.122272727272728 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 0.6215242471040179 y[1] (numeric) 0.6215242471040173 absolute error 5.551115123125783e-16 relative error 8.931453839477885e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1327272727272732 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 0.6277467434275658 y[1] (numeric) 0.6277467434275653 absolute error 4.440892098500626e-16 relative error 7.07433713515242e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.143181818181818 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 0.633963290840359 y[1] (numeric) 0.6339632908403585 absolute error 4.440892098500626e-16 relative error 7.004967263347281e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1536363636363647 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 0.640173946959306 y[1] (numeric) 0.6401739469593055 absolute error 4.440892098500626e-16 relative error 6.937008479638927e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.16409090909091 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 0.6463787685682932 y[1] (numeric) 0.6463787685682928 absolute error 4.440892098500626e-16 relative error 6.870417647437661e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.1745454545454557 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 0.6525778116341665 y[1] (numeric) 0.6525778116341661 absolute error 4.440892098500626e-16 relative error 6.805153376851524e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.185 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 0.658771131322331 y[1] (numeric) 0.6587711313223304 absolute error 5.551115123125783e-16 relative error 8.426469921326394e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.195454545454546 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 0.6649587820119804 y[1] (numeric) 0.6649587820119799 absolute error 5.551115123125783e-16 relative error 8.348058967398928e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2059090909090915 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 10.58414230910685 Order of pole (six term test) -4.805080777714466e-10 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 0.6711408173109669 y[1] (numeric) 0.6711408173109664 absolute error 4.440892098500626e-16 relative error 6.616930432414722e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2163636363636376 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 0.67731729007032 y[1] (numeric) 0.6773172900703196 absolute error 4.440892098500626e-16 relative error 6.55659048367061e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2268181818181825 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 0.6834882523984267 y[1] (numeric) 0.6834882523984261 absolute error 5.551115123125783e-16 relative error 8.121741820208878e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.237272727272728 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 0.6896537556748794 y[1] (numeric) 0.689653755674879 absolute error 4.440892098500626e-16 relative error 6.439306770909803e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.247727272727273 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 0.695813850564005 y[1] (numeric) 0.6958138505640045 absolute error 5.551115123125783e-16 relative error 7.977873850349805e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2581818181818183 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 0.7019685870280787 y[1] (numeric) 0.7019685870280781 absolute error 6.661338147750939e-16 relative error 9.489510315487217e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.268636363636364 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.844122174421754 Order of pole (six term test) -1.3724665848258155e-10 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 0.7081180143402361 y[1] (numeric) 0.7081180143402355 absolute error 6.661338147750939e-16 relative error 9.407101659399818e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2790909090909093 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7424674822079584 Order of pole (six term test) -2.5401902803423582e-11 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 0.714262181097089 y[1] (numeric) 0.7142621810970884 absolute error 6.661338147750939e-16 relative error 9.326180671527769e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.2895454545454554 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 0.7204011352310542 y[1] (numeric) 0.7204011352310535 absolute error 6.661338147750939e-16 relative error 9.24670689978084e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3000000000000003 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 0.7265349240224019 y[1] (numeric) 0.7265349240224014 absolute error 5.551115123125783e-16 relative error 7.640534459640952e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3104545454545455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 0.7326635941110337 y[1] (numeric) 0.732663594111033 absolute error 6.661338147750939e-16 relative error 9.091946428474277e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3209090909090913 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 10.823507151108764 Order of pole (six term test) -7.190870121576154e-10 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 0.7387871915079935 y[1] (numeric) 0.7387871915079928 absolute error 7.771561172376096e-16 relative error 1.0519350175133632e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3313636363636365 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3279956247998783 Order of pole (six term test) 1.9884538460246404e-11 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 0.7449057616067238 y[1] (numeric) 0.7449057616067231 absolute error 7.771561172376096e-16 relative error 1.0432945444821414e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3418181818181822 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 0.7510193491940689 y[1] (numeric) 0.7510193491940681 absolute error 7.771561172376096e-16 relative error 1.0348017239124244e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.352272727272728 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.28135377014987223 Order of pole (six term test) -2.9807267765136203e-12 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 0.7571279984610353 y[1] (numeric) 0.7571279984610345 absolute error 7.771561172376096e-16 relative error 1.0264527514730457e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.3627272727272732 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 11.271278456917214 Order of pole (six term test) -4.931557384679763e-10 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 0.7632317530133145 y[1] (numeric) 0.7632317530133137 absolute error 7.771561172376096e-16 relative error 1.0182439529924172e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.373181818181819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 0.769330655881574 y[1] (numeric) 0.7693306558815732 absolute error 7.771561172376096e-16 relative error 1.0101717789304371e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.383636363636364 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 0.7754247495315237 y[1] (numeric) 0.775424749531523 absolute error 7.771561172376096e-16 relative error 1.0022327991299373e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.39409090909091 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 0.7815140758737626 y[1] (numeric) 0.7815140758737619 absolute error 7.771561172376096e-16 relative error 9.944236978313145e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.404545454545455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 0.7875986762734122 y[1] (numeric) 0.7875986762734114 absolute error 7.771561172376096e-16 relative error 9.867412689350718e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.415000000000001 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 0.7936785915595413 y[1] (numeric) 0.7936785915595405 absolute error 8.881784197001252e-16 relative error 1.1190656131405738e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.425454545454546 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.565684896660809 Order of pole (six term test) -4.909495032734412e-11 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 0.7997538620343889 y[1] (numeric) 0.7997538620343881 absolute error 7.771561172376096e-16 relative error 9.717441254496779e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.435909090909092 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 0.8058245274823892 y[1] (numeric) 0.8058245274823883 absolute error 8.881784197001252e-16 relative error 1.1021982943048799e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.446363636363637 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 0.8118906271790036 y[1] (numeric) 0.8118906271790027 absolute error 8.881784197001252e-16 relative error 1.0939631398211743e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4568181818181825 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 0.8179521998993664 y[1] (numeric) 0.8179521998993655 absolute error 8.881784197001252e-16 relative error 1.0858561414828383e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.467272727272728 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 0.8240092839267467 y[1] (numeric) 0.8240092839267458 absolute error 8.881784197001252e-16 relative error 1.077874287371601e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.477727272727274 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 0.8300619170608325 y[1] (numeric) 0.8300619170608317 absolute error 8.881784197001252e-16 relative error 1.070014659683554e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4881818181818187 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 0.8361101366258415 y[1] (numeric) 0.8361101366258407 absolute error 8.881784197001252e-16 relative error 1.0622744310748432e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.4986363636363644 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1495593021537365 Order of pole (six term test) -6.300737709352688e-12 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 0.8421539794784617 y[1] (numeric) 0.8421539794784608 absolute error 8.881784197001252e-16 relative error 1.0546508611764396e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.50909090909091 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 0.8481934820156276 y[1] (numeric) 0.8481934820156267 absolute error 8.881784197001252e-16 relative error 1.0471412932689347e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5195454545454554 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 0.8542286801821355 y[1] (numeric) 0.8542286801821346 absolute error 8.881784197001252e-16 relative error 1.0397431511088472e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.530000000000001 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 0.860259609478101 y[1] (numeric) 0.8602596094781001 absolute error 8.881784197001252e-16 relative error 1.0324539358984457e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5404545454545464 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 0.8662863049662644 y[1] (numeric) 0.8662863049662635 absolute error 8.881784197001252e-16 relative error 1.0252712233915708e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.550909090909092 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 0.8723088012791457 y[1] (numeric) 0.8723088012791448 absolute error 8.881784197001252e-16 relative error 1.0181926611283853e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.561363636363638 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 0.8783271326260547 y[1] (numeric) 0.8783271326260538 absolute error 8.881784197001252e-16 relative error 1.0112159657924e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.571818181818183 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 0.8843413327999583 y[1] (numeric) 0.8843413327999574 absolute error 8.881784197001252e-16 relative error 1.0043389206835082e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5822727272727284 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 0.8903514351842094 y[1] (numeric) 0.8903514351842087 absolute error 7.771561172376096e-16 relative error 8.728644516384923e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.5927272727272737 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 0.8963574727591408 y[1] (numeric) 0.89635747275914 absolute error 7.771561172376096e-16 relative error 8.670158289029386e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6031818181818194 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 0.9023594781085256 y[1] (numeric) 0.9023594781085247 absolute error 8.881784197001252e-16 relative error 9.842844689367858e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6136363636363638 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 0.9083574834259098 y[1] (numeric) 0.908357483425909 absolute error 7.771561172376096e-16 relative error 8.555619691781824e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6240909090909095 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 0.9143515205208197 y[1] (numeric) 0.9143515205208189 absolute error 7.771561172376096e-16 relative error 8.499533273537263e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.634545454545455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 0.9203416208248439 y[1] (numeric) 0.9203416208248432 absolute error 7.771561172376096e-16 relative error 8.444213536068202e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6450000000000005 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 0.926327815397598 y[1] (numeric) 0.9263278153975972 absolute error 7.771561172376096e-16 relative error 8.389644619535029e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6554545454545466 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 0.9323101349325704 y[1] (numeric) 0.9323101349325696 absolute error 7.771561172376096e-16 relative error 8.335811101032573e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.665909090909092 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 0.9382886097628544 y[1] (numeric) 0.9382886097628538 absolute error 6.661338147750939e-16 relative error 7.099455411096319e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.676363636363638 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 0.9442632698667689 y[1] (numeric) 0.9442632698667681 absolute error 7.771561172376096e-16 relative error 8.230290661917441e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6868181818181833 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 0.9502341448733683 y[1] (numeric) 0.9502341448733675 absolute error 7.771561172376096e-16 relative error 8.178574948400494e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.6972727272727277 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 0.9562012640678483 y[1] (numeric) 0.9562012640678477 absolute error 6.661338147750939e-16 relative error 6.966460302941281e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.707727272727273 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 0.9621646563968458 y[1] (numeric) 0.9621646563968451 absolute error 6.661338147750939e-16 relative error 6.923282936515872e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.718181818181819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 0.9681243504736373 y[1] (numeric) 0.9681243504736365 absolute error 7.771561172376096e-16 relative error 8.027441070533967e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.728636363636364 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 0.9740803745832383 y[1] (numeric) 0.9740803745832374 absolute error 8.881784197001252e-16 relative error 9.118122517149919e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7390909090909097 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 0.9800327566874051 y[1] (numeric) 0.9800327566874043 absolute error 7.771561172376096e-16 relative error 7.929899403204276e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.749545454545455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 0.9859815244295429 y[1] (numeric) 0.9859815244295422 absolute error 6.661338147750939e-16 relative error 6.756047636496003e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.7600000000000002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 0.9919267051395195 y[1] (numeric) 0.9919267051395187 absolute error 7.771561172376096e-16 relative error 7.834813935454017e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.770454545454547 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 0.9978683258383887 y[1] (numeric) 0.9978683258383879 absolute error 7.771561172376096e-16 relative error 7.788162998205788e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.780909090909092 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 10.645188747500265 Order of pole (six term test) 1.8922463596027228e-10 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) 1.0038064132430264 y[1] (numeric) 1.0038064132430256 absolute error 8.881784197001252e-16 relative error 8.848104654269557e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.791363636363637 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 1.009740993770678 y[1] (numeric) 1.0097409937706774 absolute error 6.661338147750939e-16 relative error 6.597076070840196e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8018181818181818 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.706867146145902 Order of pole (six term test) -2.9274360713316128e-12 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) 1.0156720935434238 y[1] (numeric) 1.015672093543423 absolute error 8.881784197001252e-16 relative error 8.744735878303938e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8122727272727284 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 1.0215997383925577 y[1] (numeric) 1.0215997383925568 absolute error 8.881784197001252e-16 relative error 8.693996154478612e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8227272727272736 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 1.027523953862889 y[1] (numeric) 1.0275239538628884 absolute error 6.661338147750939e-16 relative error 6.482903024020222e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.833181818181819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 1.0334447652169634 y[1] (numeric) 1.0334447652169625 absolute error 8.881784197001252e-16 relative error 8.594348237988891e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.843636363636365 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 1.039362197439204 y[1] (numeric) 1.039362197439203 absolute error 8.881784197001252e-16 relative error 8.545417775328297e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.85409090909091 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5469114922433602 Order of pole (six term test) -4.423128530106624e-12 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 1.0452762752399816 y[1] (numeric) 1.0452762752399807 absolute error 8.881784197001252e-16 relative error 8.497068581186454e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.864545454545455 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 1.0511870230596068 y[1] (numeric) 1.0511870230596059 absolute error 8.881784197001252e-16 relative error 8.449290185441737e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.875000000000001 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 1.0570944650722516 y[1] (numeric) 1.0570944650722505 absolute error 1.1102230246251565e-15 relative error 1.0502590461953405e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.8854545454545466 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 1.0629986251897987 y[1] (numeric) 1.0629986251897976 absolute error 1.1102230246251565e-15 relative error 1.0444256448844663e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.895909090909092 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.28338370800115 Order of pole (six term test) -4.1742609369066486e-11 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 1.0688995270656232 y[1] (numeric) 1.0688995270656223 absolute error 8.881784197001252e-16 relative error 8.309278816301666e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.906363636363637 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 1.0747971940983054 y[1] (numeric) 1.0747971940983045 absolute error 8.881784197001252e-16 relative error 8.263683833351064e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.916818181818183 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7078975143174306 Order of pole (six term test) -7.817746450200502e-12 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 1.0806916494352765 y[1] (numeric) 1.0806916494352756 absolute error 8.881784197001252e-16 relative error 8.218610925366634e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.9272727272727286 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 1.0865829159764004 y[1] (numeric) 1.0865829159763996 absolute error 8.881784197001252e-16 relative error 8.174051024003175e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.937727272727274 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 1.0924710163774924 y[1] (numeric) 1.0924710163774916 absolute error 8.881784197001252e-16 relative error 8.129995271135175e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.948181818181819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 7.8290378682083945 Order of pole (six term test) -1.8031265369700122e-10 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 1.0983559730537735 y[1] (numeric) 1.0983559730537726 absolute error 8.881784197001252e-16 relative error 8.086435012782888e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.958636363636365 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 1.1042378081832656 y[1] (numeric) 1.1042378081832647 absolute error 8.881784197001252e-16 relative error 8.043361793248055e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.9690909090909106 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 1.1101165437101268 y[1] (numeric) 1.1101165437101257 absolute error 1.1102230246251565e-15 relative error 1.000095918681361e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.9795454545454563 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 1.115992201347927 y[1] (numeric) 1.1159922013479262 absolute error 8.881784197001252e-16 relative error 7.958643605460307e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 2.990000000000001 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 1.1218648025828695 y[1] (numeric) 1.1218648025828684 absolute error 1.1102230246251565e-15 relative error 9.896228334012172e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.000454545454547 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.3980275663164582 Order of pole (six term test) -2.539124466238718e-11 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 1.1277343686769505 y[1] (numeric) 1.1277343686769497 absolute error 8.881784197001252e-16 relative error 7.875776817391222e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.010909090909092 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 1.1336009206710722 y[1] (numeric) 1.133600920671071 absolute error 1.1102230246251565e-15 relative error 9.793773138150979e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.021363636363637 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 1.139464479388094 y[1] (numeric) 1.139464479388093 absolute error 8.881784197001252e-16 relative error 7.794700368168455e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.031818181818183 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3845807594035104 Order of pole (six term test) 1.7852386235972517e-12 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 1.1453250654358373 y[1] (numeric) 1.1453250654358362 absolute error 1.1102230246251565e-15 relative error 9.69351896793315e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.0422727272727283 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 1.1511826992100345 y[1] (numeric) 1.1511826992100336 absolute error 8.881784197001252e-16 relative error 7.715355871049936e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.052727272727274 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 1.1570374008972308 y[1] (numeric) 1.15703740089723 absolute error 8.881784197001252e-16 relative error 7.67631555394305e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.06318181818182 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 1.1628891904776344 y[1] (numeric) 1.1628891904776335 absolute error 8.881784197001252e-16 relative error 7.637687468187085e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.0736363636363646 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 1.168738087727919 y[1] (numeric) 1.168738087727918 absolute error 8.881784197001252e-16 relative error 7.599465004403041e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.08409090909091 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 1.1745841122239793 y[1] (numeric) 1.1745841122239782 absolute error 1.1102230246251565e-15 relative error 9.45205211845612e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.094545454545456 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 1.1804272833436391 y[1] (numeric) 1.180427283343638 absolute error 1.1102230246251565e-15 relative error 9.405264011522808e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.105000000000001 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 1.1862676202693152 y[1] (numeric) 1.1862676202693143 absolute error 8.881784197001252e-16 relative error 7.487167351819688e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.115454545454547 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 1.1921051419906357 y[1] (numeric) 1.1921051419906348 absolute error 8.881784197001252e-16 relative error 7.450504057192484e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.1259090909090923 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 1.1979398673070145 y[1] (numeric) 1.1979398673070134 absolute error 1.1102230246251565e-15 relative error 9.267769233867751e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.1363636363636376 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 1.203771814830183 y[1] (numeric) 1.2037718148301821 absolute error 8.881784197001252e-16 relative error 7.378295527092245e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.1468181818181837 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) 1.2096010029866815 y[1] (numeric) 1.2096010029866806 absolute error 8.881784197001252e-16 relative error 7.342738783343293e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.15727272727273 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 1.2154274500203064 y[1] (numeric) 1.2154274500203055 absolute error 8.881784197001252e-16 relative error 7.307539579472935e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.167727272727275 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) 1.2212511739945195 y[1] (numeric) 1.2212511739945187 absolute error 8.881784197001252e-16 relative error 7.272692453551827e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.17818181818182 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 1.2270721927948172 y[1] (numeric) 1.227072192794816 absolute error 1.1102230246251565e-15 relative error 9.04774006895616e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.1886363636363657 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) 1.2328905241310593 y[1] (numeric) 1.2328905241310584 absolute error 8.881784197001252e-16 relative error 7.204033142570489e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.199090909090911 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 1.2387061855397634 y[1] (numeric) 1.2387061855397625 absolute error 8.881784197001252e-16 relative error 7.170210579945587e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2095454545454563 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 1.2445191943863578 y[1] (numeric) 1.244519194386357 absolute error 8.881784197001252e-16 relative error 7.136719334715158e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2200000000000015 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 1.2503295678674005 y[1] (numeric) 1.2503295678673998 absolute error 6.661338147750939e-16 relative error 5.3276658562211856e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2304545454545472 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 1.2561373230127622 y[1] (numeric) 1.2561373230127615 absolute error 6.661338147750939e-16 relative error 5.3030333751839813e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.240909090909093 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 1.2619424766877727 y[1] (numeric) 1.261942476687772 absolute error 6.661338147750939e-16 relative error 5.278638504375405e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2513636363636382 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 15.466368385332268 Order of pole (six term test) -6.936424767900462e-10 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 1.2677450455953347 y[1] (numeric) 1.267745045595334 absolute error 6.661338147750939e-16 relative error 5.2544777602524696e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.261818181818184 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.2452246078563896 Order of pole (six term test) 0.0 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 1.2735450462780025 y[1] (numeric) 1.2735450462780018 absolute error 6.661338147750939e-16 relative error 5.2305477275570464e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2722727272727297 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 1.2793424951200276 y[1] (numeric) 1.2793424951200267 absolute error 8.881784197001252e-16 relative error 6.94246007686e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2827272727272745 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 1.2851374083493725 y[1] (numeric) 1.2851374083493716 absolute error 8.881784197001252e-16 relative error 6.911155289152306e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.2931818181818207 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 1.2909298020396922 y[1] (numeric) 1.2909298020396913 absolute error 8.881784197001252e-16 relative error 6.880144979973252e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.303636363636365 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 1.2967196921122843 y[1] (numeric) 1.2967196921122834 absolute error 8.881784197001252e-16 relative error 6.849424938194097e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.314090909090911 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 1.3025070943380084 y[1] (numeric) 1.3025070943380075 absolute error 8.881784197001252e-16 relative error 6.81899103322379e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.324545454545457 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 1.3082920243391754 y[1] (numeric) 1.3082920243391745 absolute error 8.881784197001252e-16 relative error 6.788839213085843e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.335000000000002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 1.3140744975914074 y[1] (numeric) 1.3140744975914065 absolute error 8.881784197001252e-16 relative error 6.758965502550157e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.3454545454545475 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 1.3198545294254682 y[1] (numeric) 1.3198545294254673 absolute error 8.881784197001252e-16 relative error 6.729366001317954e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.355909090909093 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 1.3256321350290663 y[1] (numeric) 1.3256321350290654 absolute error 8.881784197001252e-16 relative error 6.700036882258068e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.366363636363638 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.119861084683016 Order of pole (six term test) -4.073186232744774e-11 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 1.3314073294486284 y[1] (numeric) 1.3314073294486275 absolute error 8.881784197001252e-16 relative error 6.670974389692926e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.3768181818181846 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 1.3371801275910467 y[1] (numeric) 1.3371801275910458 absolute error 8.881784197001252e-16 relative error 6.642174837732551e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.3872727272727303 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 1.3429505442253986 y[1] (numeric) 1.3429505442253977 absolute error 8.881784197001252e-16 relative error 6.613634608655066e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.3977272727272747 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 1.3487185939846411 y[1] (numeric) 1.3487185939846402 absolute error 8.881784197001252e-16 relative error 6.585350151332158e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.408181818181821 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 1.3544842913672777 y[1] (numeric) 1.3544842913672768 absolute error 8.881784197001252e-16 relative error 6.557317979698073e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.418636363636366 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 1.3602476507390002 y[1] (numeric) 1.3602476507389993 absolute error 8.881784197001252e-16 relative error 6.529534671260725e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.4290909090909105 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 1.3660086863343073 y[1] (numeric) 1.3660086863343064 absolute error 8.881784197001252e-16 relative error 6.501996865653597e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.4395454545454567 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 12.530610620000498 Order of pole (six term test) 2.141948840517216e-10 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 1.3717674122580958 y[1] (numeric) 1.371767412258095 absolute error 8.881784197001252e-16 relative error 6.474701263227091e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.4500000000000024 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 1.37752384248723 y[1] (numeric) 1.3775238424872291 absolute error 8.881784197001252e-16 relative error 6.447644623678148e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.4604545454545477 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 1.3832779908720865 y[1] (numeric) 1.3832779908720856 absolute error 8.881784197001252e-16 relative error 6.420823764716837e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.470909090909093 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 1.3890298711380753 y[1] (numeric) 1.3890298711380744 absolute error 8.881784197001252e-16 relative error 6.394235560768849e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.481363636363639 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 1.3947794968871394 y[1] (numeric) 1.3947794968871385 absolute error 8.881784197001252e-16 relative error 6.367876941712698e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.491818181818183 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.3541731378980764 Order of pole (six term test) -1.2642331626011583e-11 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 1.4005268815992309 y[1] (numeric) 1.40052688159923 absolute error 8.881784197001252e-16 relative error 6.34174489165059e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.502272727272729 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 1.4062720386337655 y[1] (numeric) 1.4062720386337644 absolute error 1.1102230246251565e-15 relative error 7.894795559639874e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.512727272727275 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 5.16957028342272 Order of pole (six term test) -7.922196232357237e-11 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 1.4120149812310547 y[1] (numeric) 1.4120149812310538 absolute error 8.881784197001252e-16 relative error 6.290148698888262e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.52318181818182 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 6.690529372705701 Order of pole (six term test) -9.693224001239287e-11 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 1.417755722513719 y[1] (numeric) 1.417755722513718 absolute error 8.881784197001252e-16 relative error 6.264678784899285e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5336363636363664 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 1.4234942754880768 y[1] (numeric) 1.423494275488076 absolute error 8.881784197001252e-16 relative error 6.239423895087975e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5440909090909116 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 1.429230653045516 y[1] (numeric) 1.4292306530455152 absolute error 8.881784197001252e-16 relative error 6.214381267344955e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5545454545454565 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 1.4349648679638436 y[1] (numeric) 1.4349648679638427 absolute error 8.881784197001252e-16 relative error 6.189548187060593e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.565000000000002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 1.4406969329086157 y[1] (numeric) 1.4406969329086148 absolute error 8.881784197001252e-16 relative error 6.164921986104227e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5754545454545483 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.2992837779729096 Order of pole (six term test) -2.6791013851834578e-11 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 1.4464268604344492 y[1] (numeric) 1.4464268604344486 absolute error 6.661338147750939e-16 relative error 4.605375031372231e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5859090909090936 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 18.651728770749035 Order of pole (six term test) -4.695959177070108e-10 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 1.452154662986314 y[1] (numeric) 1.4521546629863131 absolute error 8.881784197001252e-16 relative error 6.116279776106024e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.5963636363636384 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 1.4578803529008044 y[1] (numeric) 1.4578803529008035 absolute error 8.881784197001252e-16 relative error 6.092258654373661e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.606818181818184 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 1.4636039424073954 y[1] (numeric) 1.4636039424073946 absolute error 8.881784197001252e-16 relative error 6.068434184723589e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.61727272727273 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 1.4693254436296792 y[1] (numeric) 1.4693254436296783 absolute error 8.881784197001252e-16 relative error 6.044803917000547e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.627727272727276 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 1.475044868586583 y[1] (numeric) 1.475044868586582 absolute error 8.881784197001252e-16 relative error 6.021365441928525e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6381818181818204 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.243910917769624 Order of pole (six term test) -2.5289992322541366e-11 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 1.4807622291935711 y[1] (numeric) 1.4807622291935703 absolute error 8.881784197001252e-16 relative error 5.998116390258216e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6486363636363652 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 1.486477537263829 y[1] (numeric) 1.4864775372638284 absolute error 6.661338147750939e-16 relative error 4.4812908239518486e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6590909090909105 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 5.810594750268061 Order of pole (six term test) -7.220180009426258e-11 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 1.4921908045094305 y[1] (numeric) 1.4921908045094299 absolute error 6.661338147750939e-16 relative error 4.4641329564692675e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6695454545454558 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 1.4979020425424883 y[1] (numeric) 1.4979020425424876 absolute error 6.661338147750939e-16 relative error 4.4471119996900527e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.680000000000001 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 1.503611262876288 y[1] (numeric) 1.5036112628762874 absolute error 6.661338147750939e-16 relative error 4.43022629067591e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.6904545454545468 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.8549269869930174 Order of pole (six term test) -1.809041805245215e-11 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 1.5093184769264074 y[1] (numeric) 1.5093184769264067 absolute error 6.661338147750939e-16 relative error 4.413474193542082e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7009090909090925 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 1.5150236960118175 y[1] (numeric) 1.515023696011817 absolute error 4.440892098500626e-16 relative error 2.931236065938065e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.711363636363636 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 1.5207269313559713 y[1] (numeric) 1.5207269313559708 absolute error 4.440892098500626e-16 relative error 2.9202429489039566e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7218181818181817 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 1.5264281940878732 y[1] (numeric) 1.526428194087873 absolute error 2.220446049250313e-16 relative error 1.4546678696387383e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7322727272727274 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 1.5321274952431383 y[1] (numeric) 1.5321274952431383 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7427272727272727 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 1.5378248457650328 y[1] (numeric) 1.537824845765033 absolute error 2.220446049250313e-16 relative error 1.443887485213371e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7531818181818184 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 18.13234559599699 Order of pole (six term test) -4.1663383854029234e-10 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 1.543520256505502 y[1] (numeric) 1.5435202565055022 absolute error 2.220446049250313e-16 relative error 1.4385597078442994e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7636363636363637 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 1.5492137382261832 y[1] (numeric) 1.5492137382261835 absolute error 2.220446049250313e-16 relative error 1.4332728883444298e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.774090909090908 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 1.5549053015994057 y[1] (numeric) 1.554905301599406 absolute error 4.440892098500626e-16 relative error 2.8560530946371064e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.784545454545453 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 1.5605949572091753 y[1] (numeric) 1.560594957209176 absolute error 6.661338147750939e-16 relative error 4.268460638667874e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.7949999999999995 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 1.5662827155521477 y[1] (numeric) 1.5662827155521484 absolute error 6.661338147750939e-16 relative error 4.252960261648982e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.8054545454545448 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 1.5719685870385853 y[1] (numeric) 1.571968587038586 absolute error 6.661338147750939e-16 relative error 4.237577139057316e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.81590909090909 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 1.5776525819933038 y[1] (numeric) 1.5776525819933047 absolute error 8.881784197001252e-16 relative error 5.6297465604115815e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.8263636363636335 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.4717848411856953 Order of pole (six term test) -9.823253321883385e-13 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 1.5833347106566047 y[1] (numeric) 1.5833347106566058 absolute error 1.1102230246251565e-15 relative error 7.011928792774019e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.83681818181818 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.210651815708611 Order of pole (six term test) -3.3308467095594096e-11 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 1.5890149831851947 y[1] (numeric) 1.589014983185196 absolute error 1.3322676295501878e-15 relative error 8.384235791657833e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.8472727272727254 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 10.385698550093393 Order of pole (six term test) -1.445972230840198e-10 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 1.5946934096530938 y[1] (numeric) 1.5946934096530951 absolute error 1.3322676295501878e-15 relative error 8.354380983113277e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.85772727272727 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 1.6003700000525294 y[1] (numeric) 1.600370000052531 absolute error 1.5543122344752192e-15 relative error 9.712205517625309e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.8681818181818155 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 1.6060447642948206 y[1] (numeric) 1.6060447642948221 absolute error 1.5543122344752192e-15 relative error 9.67788861823963e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.8786363636363603 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 16.94894925587956 Order of pole (six term test) -7.055049877635611e-10 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 1.6117177122112483 y[1] (numeric) 1.61171771221125 absolute error 1.7763568394002505e-15 relative error 1.1021513419760836e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.8890909090909056 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 1.6173888535539154 y[1] (numeric) 1.6173888535539174 absolute error 1.9984014443252818e-15 relative error 1.235572657703286e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.899545454545451 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 13.515867542576519 Order of pole (six term test) -4.3952930184332217e-10 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 1.6230581979965943 y[1] (numeric) 1.6230581979965966 absolute error 2.220446049250313e-15 relative error 1.3680631119642527e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.9099999999999966 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 1.628725755135564 y[1] (numeric) 1.6287257551355663 absolute error 2.220446049250313e-15 relative error 1.3633025954486107e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.920454545454541 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 1.6343915344904347 y[1] (numeric) 1.6343915344904372 absolute error 2.4424906541753444e-15 relative error 1.494434229884124e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.9309090909090862 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 24.754151542285758 Order of pole (six term test) -7.343761154743333e-10 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 1.6400555455049637 y[1] (numeric) 1.6400555455049661 absolute error 2.4424906541753444e-15 relative error 1.4892731291142433e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.9413636363636324 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 1.6457177975478579 y[1] (numeric) 1.6457177975478603 absolute error 2.4424906541753444e-15 relative error 1.4841491401591993e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.9518181818181772 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 5.382146043326414 Order of pole (six term test) -2.0088819496777433e-11 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 1.6513782999135673 y[1] (numeric) 1.65137829991357 absolute error 2.6645352591003757e-15 relative error 1.6135220253529047e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.962272727272722 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 1.6570370618230685 y[1] (numeric) 1.6570370618230712 absolute error 2.6645352591003757e-15 relative error 1.6080118667767515e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.972727272727268 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 1.6626940924246356 y[1] (numeric) 1.6626940924246385 absolute error 2.886579864025407e-15 relative error 1.7360859566271936e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.983181818181812 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 1.6683494007946043 y[1] (numeric) 1.6683494007946071 absolute error 2.886579864025407e-15 relative error 1.7302010374149335e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 3.9936363636363583 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 1.6740029959381217 y[1] (numeric) 1.6740029959381248 absolute error 3.1086244689504383e-15 relative error 1.8570005409150093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.004090909090904 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 1.679654886789892 y[1] (numeric) 1.679654886789895 absolute error 3.1086244689504383e-15 relative error 1.8507518975469728e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.01454545454545 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 1.685305082214906 y[1] (numeric) 1.6853050822149094 absolute error 3.3306690738754696e-15 relative error 1.976300379690394e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.024999999999994 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 1.6909535910091678 y[1] (numeric) 1.690953591009171 absolute error 3.3306690738754696e-15 relative error 1.9696986904813355e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.035454545454539 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.095923254368533 Order of pole (six term test) -1.6987300455184595e-11 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 1.6966004219004054 y[1] (numeric) 1.6966004219004087 absolute error 3.3306690738754696e-15 relative error 1.9631429008750936e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.045909090909084 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 1.702245583548778 y[1] (numeric) 1.7022455835487815 absolute error 3.552713678800501e-15 relative error 2.087074693061583e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.0563636363636295 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 1.7078890845475712 y[1] (numeric) 1.7078890845475747 absolute error 3.552713678800501e-15 relative error 2.080178221726637e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.066818181818175 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 1.7135309334238824 y[1] (numeric) 1.7135309334238862 absolute error 3.774758283725532e-15 relative error 2.2029122498436721e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.077272727272721 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 1.7191711386393007 y[1] (numeric) 1.7191711386393047 absolute error 3.9968028886505635e-15 relative error 2.324842942520531e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.087727272727264 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 1.7248097085905747 y[1] (numeric) 1.724809708590579 absolute error 4.218847493575595e-15 relative error 2.4459785172609093e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.098181818181811 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 1.7304466516102743 y[1] (numeric) 1.7304466516102786 absolute error 4.218847493575595e-15 relative error 2.438010723791877e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.108636363636355 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.087818946634925 Order of pole (six term test) 2.1955770534987096e-12 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 1.7360819759674424 y[1] (numeric) 1.7360819759674466 absolute error 4.218847493575595e-15 relative error 2.430096937804228e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.119090909090902 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 1.7417156898682393 y[1] (numeric) 1.7417156898682435 absolute error 4.218847493575595e-15 relative error 2.4222366015975605e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.129545454545447 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 1.7473478014565789 y[1] (numeric) 1.7473478014565833 absolute error 4.440892098500626e-15 relative error 2.5415043844154695e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.139999999999991 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 1.752978318814756 y[1] (numeric) 1.7529783188147607 absolute error 4.6629367034256575e-15 relative error 2.660008200545467e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.1504545454545365 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 1.758607249964068 y[1] (numeric) 1.7586072499640726 absolute error 4.6629367034256575e-15 relative error 2.651494074939661e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.160909090909082 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 1.7642346028654243 y[1] (numeric) 1.764234602865429 absolute error 4.6629367034256575e-15 relative error 2.643036643682329e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.171363636363627 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 1.7698603854199537 y[1] (numeric) 1.7698603854199586 absolute error 4.884981308350689e-15 relative error 2.760094156913726e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.181818181818173 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 1.7754846054696003 y[1] (numeric) 1.7754846054696054 absolute error 5.10702591327572e-15 relative error 2.8764123876618777e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.192272727272718 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 1.7811072707977131 y[1] (numeric) 1.7811072707977185 absolute error 5.329070518200751e-15 relative error 2.9919986322968604e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.202727272727262 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 1.7867283891296286 y[1] (numeric) 1.786728389129634 absolute error 5.329070518200751e-15 relative error 2.9825856860072103e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.213181818181807 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.6109145313147404 Order of pole (six term test) 5.995204332975845e-12 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 1.7923479681332453 y[1] (numeric) 1.7923479681332508 absolute error 5.551115123125783e-15 relative error 3.097119098423363e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.223636363636354 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 1.7979660154195924 y[1] (numeric) 1.797966015419598 absolute error 5.551115123125783e-15 relative error 3.08744162877312e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.234090909090898 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 17.415081149003313 Order of pole (six term test) -5.184386253631601e-10 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 1.8035825385433908 y[1] (numeric) 1.8035825385433963 absolute error 5.551115123125783e-15 relative error 3.0778270494950423e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.244545454545444 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1657592540944304 Order of pole (six term test) -2.9020341685281892e-11 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 1.8091975450036062 y[1] (numeric) 1.809197545003612 absolute error 5.773159728050814e-15 relative error 3.1910057273703115e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.254999999999989 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 1.8148110422439978 y[1] (numeric) 1.8148110422440036 absolute error 5.773159728050814e-15 relative error 3.1811354425705684e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.265454545454535 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 1.8204230376536576 y[1] (numeric) 1.8204230376536636 absolute error 5.995204332975845e-15 relative error 3.2933028252065305e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.27590909090908 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 1.8260335385675455 y[1] (numeric) 1.8260335385675517 absolute error 6.217248937900877e-15 relative error 3.4047835412585435e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.2863636363636255 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 12.916194915684764 Order of pole (six term test) -3.3797320497797045e-10 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 1.8316425522670157 y[1] (numeric) 1.8316425522670219 absolute error 6.217248937900877e-15 relative error 3.394357119627853e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.296818181818169 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 1.8372500859803385 y[1] (numeric) 1.837250085980345 absolute error 6.439293542825908e-15 relative error 3.5048541251747796e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.307272727272715 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 1.842856146883215 y[1] (numeric) 1.8428561468832214 absolute error 6.439293542825908e-15 relative error 3.494192182996244e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.317727272727261 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 1.8484607420992853 y[1] (numeric) 1.8484607420992918 absolute error 6.439293542825908e-15 relative error 3.4835976746321606e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.328181818181806 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 1.854063878700631 y[1] (numeric) 1.8540638787006378 absolute error 6.8833827526759706e-15 relative error 3.712592015707678e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.3386363636363505 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 1.8596655637082722 y[1] (numeric) 1.859665563708279 absolute error 6.8833827526759706e-15 relative error 3.7014089452461217e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.349090909090895 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 6.557514174844688 Order of pole (six term test) -5.537792446830281e-11 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 1.8652658040926566 y[1] (numeric) 1.8652658040926635 absolute error 6.8833827526759706e-15 relative error 3.690295901834932e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.35954545454544 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 1.8708646067741452 y[1] (numeric) 1.8708646067741523 absolute error 7.105427357601002e-15 relative error 3.797937772660416e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.369999999999987 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 1.8764619786234906 y[1] (numeric) 1.8764619786234977 absolute error 7.105427357601002e-15 relative error 3.7866087554906413e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.380454545454531 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 1.8820579264623094 y[1] (numeric) 1.8820579264623167 absolute error 7.327471962526033e-15 relative error 3.893329668284668e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.390909090909076 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 1.8876524570635511 y[1] (numeric) 1.8876524570635587 absolute error 7.549516567451064e-15 relative error 3.9994208357586967e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.401363636363622 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 1.8932455771519585 y[1] (numeric) 1.8932455771519663 absolute error 7.771561172376096e-15 relative error 4.104888064266331e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.411818181818168 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 1.898837293404525 y[1] (numeric) 1.8988372934045328 absolute error 7.771561172376096e-15 relative error 4.092799946246082e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.422272727272714 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 1.9044276124509447 y[1] (numeric) 1.9044276124509527 absolute error 7.993605777301127e-15 relative error 4.197379687754885e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.4327272727272575 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 1.9100165408740595 y[1] (numeric) 1.9100165408740675 absolute error 7.993605777301127e-15 relative error 4.1850976712710054e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.443181818181804 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 1.9156040852102978 y[1] (numeric) 1.9156040852103058 absolute error 7.993605777301127e-15 relative error 4.1728903373180985e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.453636363636348 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 21.79131140876552 Order of pole (six term test) -5.097611222026899e-10 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 1.9211902519501112 y[1] (numeric) 1.9211902519501194 absolute error 8.215650382226158e-15 relative error 4.2763335770035436e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.464090909090895 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 1.926775047538404 y[1] (numeric) 1.9267750475384124 absolute error 8.43769498715119e-15 relative error 4.3791801216914046e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.4745454545454395 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 22.759738081622945 Order of pole (six term test) -5.611422437823421e-10 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 1.932358478374959 y[1] (numeric) 1.9323584783749674 absolute error 8.43769498715119e-15 relative error 4.366526750381728e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.484999999999984 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 1.9379405508148566 y[1] (numeric) 1.9379405508148653 absolute error 8.659739592076221e-15 relative error 4.468526956843445e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.495454545454529 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 1.9435212711688916 y[1] (numeric) 1.9435212711689003 absolute error 8.659739592076221e-15 relative error 4.455695813850288e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.505909090909074 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 1.9491006457039821 y[1] (numeric) 1.949100645703991 absolute error 8.881784197001252e-15 relative error 4.556862785191527e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.51636363636362 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 1.954678680643577 y[1] (numeric) 1.9546786806435859 absolute error 8.881784197001252e-15 relative error 4.543858939555697e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.5268181818181645 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 1.9602553821680555 y[1] (numeric) 1.9602553821680646 absolute error 9.103828801926284e-15 relative error 4.64420548707148e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.53727272727271 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 1.9658307564151252 y[1] (numeric) 1.9658307564151345 absolute error 9.325873406851315e-15 relative error 4.743985908460355e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.547727272727255 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.9859235211634574 Order of pole (six term test) -2.5833557515397843e-11 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 1.9714048094802126 y[1] (numeric) 1.9714048094802221 absolute error 9.547918011776346e-15 relative error 4.84320519350553e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.558181818181801 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 12.085423089743287 Order of pole (six term test) -2.793996145555866e-10 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 1.9769775474168516 y[1] (numeric) 1.9769775474168612 absolute error 9.547918011776346e-15 relative error 4.829553084329055e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.568636363636346 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 1.9825489762370654 y[1] (numeric) 1.9825489762370752 absolute error 9.769962616701378e-15 relative error 4.927980460409632e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.579090909090891 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 1.9881191019117466 y[1] (numeric) 1.9881191019117566 absolute error 9.992007221626409e-15 relative error 5.025859472914997e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.589545454545437 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 1.9936879303710304 y[1] (numeric) 1.9936879303710404 absolute error 9.992007221626409e-15 relative error 5.011821092665626e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.599999999999982 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 1.999255467504665 y[1] (numeric) 1.9992554675046752 absolute error 1.021405182655144e-14 relative error 5.108927794655441e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.610454545454527 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 2.004821719162378 y[1] (numeric) 2.004821719162388 absolute error 1.021405182655144e-14 relative error 5.094743202811525e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.620909090909073 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 2.0103866911542374 y[1] (numeric) 2.0103866911542476 absolute error 1.021405182655144e-14 relative error 5.080640391967166e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.631363636363617 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 2.0159503892510093 y[1] (numeric) 2.01595038925102 absolute error 1.0658141036401503e-14 relative error 5.286906410609314e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.641818181818163 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 2.021512819184513 y[1] (numeric) 2.0215128191845237 absolute error 1.0658141036401503e-14 relative error 5.272358866713021e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.652272727272707 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 2.027073986647969 y[1] (numeric) 2.02707398664798 absolute error 1.1102230246251565e-14 relative error 5.476973371164686e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.662727272727254 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 2.032633897296345 y[1] (numeric) 2.032633897296356 absolute error 1.1102230246251565e-14 relative error 5.461992078858326e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.673181818181799 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 2.038192556746699 y[1] (numeric) 2.03819255674671 absolute error 1.1102230246251565e-14 relative error 5.447095864177135e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.683636363636344 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 2.0437499705785163 y[1] (numeric) 2.0437499705785274 absolute error 1.1102230246251565e-14 relative error 5.432283990741246e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.694090909090888 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 2.049306144334044 y[1] (numeric) 2.049306144334055 absolute error 1.1102230246251565e-14 relative error 5.417555730727299e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.704545454545435 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) 2.054861083518622 y[1] (numeric) 2.054861083518633 absolute error 1.1102230246251565e-14 relative error 5.402910364743862e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.7149999999999785 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) 2.06041479360101 y[1] (numeric) 2.0604147936010215 absolute error 1.1546319456101628e-14 relative error 5.603881068977377e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.725454545454525 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) 2.0659672800137105 y[1] (numeric) 2.065967280013722 absolute error 1.1546319456101628e-14 relative error 5.588820097879286e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.735909090909071 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.731801777800626 Order of pole (six term test) -2.857269976175303e-11 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 2.071518548153289 y[1] (numeric) 2.0715185481533007 absolute error 1.1546319456101628e-14 relative error 5.573843143424858e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.746363636363615 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) 2.0770686033806895 y[1] (numeric) 2.0770686033807015 absolute error 1.199040866595169e-14 relative error 5.772755240937058e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.756818181818161 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) 2.082617451021548 y[1] (numeric) 2.0826174510215605 absolute error 1.2434497875801753e-14 relative error 5.970610622561761e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.767272727272705 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) 2.088165096366503 y[1] (numeric) 2.0881650963665153 absolute error 1.2434497875801753e-14 relative error 5.954748452331817e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.777727272727251 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) 2.0937115446714976 y[1] (numeric) 2.0937115446715104 absolute error 1.2878587085651816e-14 relative error 6.151079941469425e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.788181818181797 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) 2.099256801158088 y[1] (numeric) 2.0992568011581003 absolute error 1.2434497875801753e-14 relative error 5.923285740430646e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.7986363636363425 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) 2.1048008710137367 y[1] (numeric) 2.104800871013749 absolute error 1.2434497875801753e-14 relative error 5.907683737233022e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.809090909090886 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) 2.110343759392113 y[1] (numeric) 2.110343759392126 absolute error 1.2878587085651816e-14 relative error 6.102601544575614e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.819545454545431 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) 2.1158854714133857 y[1] (numeric) 2.1158854714133986 absolute error 1.2878587085651816e-14 relative error 6.086618231302036e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.829999999999977 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5635163361266473 Order of pole (six term test) 6.361133841892297e-12 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 2.1214260121645094 y[1] (numeric) 2.1214260121645223 absolute error 1.2878587085651816e-14 relative error 6.070721774789441e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.840454545454523 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0637810455594572 Order of pole (six term test) 1.7003287666739197e-11 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 2.1269653866995144 y[1] (numeric) 2.1269653866995277 absolute error 1.3322676295501878e-14 relative error 6.263701505822403e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.8509090909090675 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) 2.1325036000397897 y[1] (numeric) 2.132503600039803 absolute error 1.3322676295501878e-14 relative error 6.247434374907172e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.861363636363614 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1599999999999766 y[1] (analytic) 2.138040657174362 y[1] (numeric) 2.1380406571743755 absolute error 1.3322676295501878e-14 relative error 6.231254887879049e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.871818181818156 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y[1] (analytic) 2.143576563060175 y[1] (numeric) 2.143576563060188 absolute error 1.3322676295501878e-14 relative error 6.215162325008068e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.882272727272704 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y[1] (analytic) 2.149111322622362 y[1] (numeric) 2.1491113226223755 absolute error 1.3322676295501878e-14 relative error 6.199155974500867e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.892727272727249 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y[1] (analytic) 2.15464494075452 y[1] (numeric) 2.1546449407545336 absolute error 1.3766765505351941e-14 relative error 6.38934297013737e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.903181818181794 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 19.257570853757933 Order of pole (six term test) 1.809326022339519e-10 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y[1] (analytic) 2.1601774223189762 y[1] (numeric) 2.16017742231899 absolute error 1.3766765505351941e-14 relative error 6.372979072512088e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.913636363636339 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y[1] (analytic) 2.1657087721470543 y[1] (numeric) 2.1657087721470685 absolute error 1.4210854715202004e-14 relative error 6.561757009052309e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.924090909090884 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y[1] (analytic) 2.1712389950393387 y[1] (numeric) 2.171238995039353 absolute error 1.4210854715202004e-14 relative error 6.545043980727018e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.93454545454543 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y[1] (analytic) 2.176768095765933 y[1] (numeric) 2.176768095765947 absolute error 1.4210854715202004e-14 relative error 6.528419238982677e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.9449999999999745 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7409517266131838 Order of pole (six term test) -4.851230528402084e-12 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y[1] (analytic) 2.1822960790667185 y[1] (numeric) 2.182296079066733 absolute error 1.4654943925052066e-14 relative error 6.715378387757267e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.95545454545452 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y[1] (analytic) 2.18782294965161 y[1] (numeric) 2.187822949651624 absolute error 1.4210854715202004e-14 relative error 6.495431779552795e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.965909090909066 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y[1] (analytic) 2.1933487122008044 y[1] (numeric) 2.193348712200819 absolute error 1.4654943925052066e-14 relative error 6.681538527609368e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.976363636363609 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.657477046316065 Order of pole (six term test) -7.613465413669473e-12 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y[1] (analytic) 2.1988733713650346 y[1] (numeric) 2.1988733713650492 absolute error 1.4654943925052066e-14 relative error 6.664751192995917e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.986818181818155 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.427249543675237 Order of pole (six term test) -2.1318058429642406e-11 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y[1] (analytic) 2.204396931765813 y[1] (numeric) 2.204396931765828 absolute error 1.509903313490213e-14 relative error 6.849507417344833e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 4.997272727272701 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y[1] (analytic) 2.209919397995678 y[1] (numeric) 2.209919397995693 absolute error 1.509903313490213e-14 relative error 6.832390877511841e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.007727272727247 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y[1] (analytic) 2.215440774618433 y[1] (numeric) 2.2154407746184486 absolute error 1.554312234475219e-14 relative error 7.015814876581024e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.018181818181793 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y[1] (analytic) 2.220961066169389 y[1] (numeric) 2.2209610661694046 absolute error 1.554312234475219e-14 relative error 6.998376775492175e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.028636363636336 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 7.774474107839151 Order of pole (six term test) -4.5487169586522214e-11 TOP MAIN SOLVE Loop x[1] 3.319999999999973 y[1] (analytic) 2.226480277155599 y[1] (numeric) 2.2264802771556145 absolute error 1.554312234475219e-14 relative error 6.981028533793722e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.039090909090881 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.329999999999973 y[1] (analytic) 2.231998412056092 y[1] (numeric) 2.2319984120561074 absolute error 1.554312234475219e-14 relative error 6.963769445711228e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.049545454545426 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y[1] (analytic) 2.2375154753221063 y[1] (numeric) 2.2375154753221222 absolute error 1.5987211554602254e-14 relative error 7.145073064712896e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.059999999999972 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y[1] (analytic) 2.243031471377319 y[1] (numeric) 2.243031471377335 absolute error 1.5987211554602254e-14 relative error 7.127502114263876e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.070454545454519 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y[1] (analytic) 2.2485464046180716 y[1] (numeric) 2.2485464046180876 absolute error 1.5987211554602254e-14 relative error 7.110020732401906e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.080909090909063 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.369999999999972 y[1] (analytic) 2.2540602794135953 y[1] (numeric) 2.2540602794136118 absolute error 1.6431300764452317e-14 relative error 7.289645673862368e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.0913636363636074 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.379999999999972 y[1] (analytic) 2.259573100106235 y[1] (numeric) 2.259573100106251 absolute error 1.5987211554602254e-14 relative error 7.075323898063137e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.101818181818153 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y[1] (analytic) 2.265084871011666 y[1] (numeric) 2.265084871011682 absolute error 1.6431300764452317e-14 relative error 7.254165605332716e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.112272727272698 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y[1] (analytic) 2.270595596419116 y[1] (numeric) 2.2705955964191324 absolute error 1.6431300764452317e-14 relative error 7.236559777692513e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.122727272727245 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7613483355600688 Order of pole (six term test) -7.748468533463893e-12 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y[1] (analytic) 2.276105280591578 y[1] (numeric) 2.2761052805915947 absolute error 1.687538997430238e-14 relative error 7.414151760992502e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.1331818181817885 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.419999999999971 y[1] (analytic) 2.2816139277660246 y[1] (numeric) 2.2816139277660414 absolute error 1.687538997430238e-14 relative error 7.396251297793147e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.143636363636334 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.429999999999971 y[1] (analytic) 2.2871215421536197 y[1] (numeric) 2.287121542153637 absolute error 1.7319479184152442e-14 relative error 7.572609878810341e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.15409090909088 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y[1] (analytic) 2.292628127939928 y[1] (numeric) 2.292628127939945 absolute error 1.687538997430238e-14 relative error 7.36071836886429e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.164545454545425 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y[1] (analytic) 2.2981336892851196 y[1] (numeric) 2.298133689285137 absolute error 1.7319479184152442e-14 relative error 7.536323611155978e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.1749999999999705 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 24.929855483220013 Order of pole (six term test) -5.694431592928595e-10 TOP MAIN SOLVE Loop x[1] 3.45999999999997 y[1] (analytic) 2.303638230324179 y[1] (numeric) 2.3036382303241965 absolute error 1.7319479184152442e-14 relative error 7.518315574106078e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.1854545454545145 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.46999999999997 y[1] (analytic) 2.3091417551671043 y[1] (numeric) 2.3091417551671216 absolute error 1.7319479184152442e-14 relative error 7.500396693012506e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.19590909090906 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.47999999999997 y[1] (analytic) 2.3146442678991104 y[1] (numeric) 2.3146442678991277 absolute error 1.7319479184152442e-14 relative error 7.482566295110431e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.206363636363606 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y[1] (analytic) 2.3201457725808265 y[1] (numeric) 2.3201457725808443 absolute error 1.7763568394002505e-14 relative error 7.656229450722445e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.216818181818152 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y[1] (analytic) 2.325646273248495 y[1] (numeric) 2.3256462732485126 absolute error 1.7763568394002505e-14 relative error 7.638121324955453e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.227272727272696 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 11.111549396869908 Order of pole (six term test) -8.998668477033789e-11 TOP MAIN SOLVE Loop x[1] 3.509999999999969 y[1] (analytic) 2.3311457739141628 y[1] (numeric) 2.331145773914181 absolute error 1.8207657603852567e-14 relative error 7.810604470813762e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.23772727272724 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.9642054981159385 Order of pole (six term test) -1.1024070545317954e-11 TOP MAIN SOLVE Loop x[1] 3.519999999999969 y[1] (analytic) 2.3366442785658785 y[1] (numeric) 2.336644278565897 absolute error 1.865174681370263e-14 relative error 7.982279110601374e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.248181818181787 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y[1] (analytic) 2.3421417911678812 y[1] (numeric) 2.3421417911679 absolute error 1.865174681370263e-14 relative error 7.963542977644474e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.258636363636332 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y[1] (analytic) 2.3476383156607885 y[1] (numeric) 2.347638315660807 absolute error 1.865174681370263e-14 relative error 7.944897938187184e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.269090909090877 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y[1] (analytic) 2.353133855961786 y[1] (numeric) 2.353133855961805 absolute error 1.9095836023552692e-14 relative error 8.115065777143279e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.279545454545422 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y[1] (analytic) 2.3586284159648123 y[1] (numeric) 2.3586284159648314 absolute error 1.9095836023552692e-14 relative error 8.096161266564499e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.289999999999967 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y[1] (analytic) 2.3641219995407416 y[1] (numeric) 2.3641219995407607 absolute error 1.9095836023552692e-14 relative error 8.077347965655868e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.300454545454513 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y[1] (analytic) 2.369614610537566 y[1] (numeric) 2.3696146105375853 absolute error 1.9095836023552692e-14 relative error 8.058625203707977e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.310909090909057 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y[1] (analytic) 2.375106252780576 y[1] (numeric) 2.3751062527805953 absolute error 1.9095836023552692e-14 relative error 8.039992316637153e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.321363636363603 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y[1] (analytic) 2.3805969300725383 y[1] (numeric) 2.3805969300725573 absolute error 1.9095836023552692e-14 relative error 8.021448646903375e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.331818181818148 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y[1] (analytic) 2.3860866461938715 y[1] (numeric) 2.3860866461938905 absolute error 1.9095836023552692e-14 relative error 8.002993543429412e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.342272727272692 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y[1] (analytic) 2.3915754049028224 y[1] (numeric) 2.3915754049028415 absolute error 1.9095836023552692e-14 relative error 7.98462636152115e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.352727272727238 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y[1] (analytic) 2.3970632099356375 y[1] (numeric) 2.397063209935657 absolute error 1.9539925233402755e-14 relative error 8.151610334016771e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.3631818181817845 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y[1] (analytic) 2.402550065006736 y[1] (numeric) 2.4025500650067557 absolute error 1.9539925233402755e-14 relative error 8.132993987514666e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.373636363636329 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y[1] (analytic) 2.408035973808879 y[1] (numeric) 2.4080359738088983 absolute error 1.9539925233402755e-14 relative error 8.114465666597056e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.384090909090875 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y[1] (analytic) 2.4135209400133357 y[1] (numeric) 2.413520940013355 absolute error 1.9095836023552692e-14 relative error 7.912024174709327e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.39454545454542 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y[1] (analytic) 2.4190049672700518 y[1] (numeric) 2.4190049672700713 absolute error 1.9539925233402755e-14 relative error 8.077670570248716e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.404999999999966 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y[1] (analytic) 2.4244880592078153 y[1] (numeric) 2.424488059207835 absolute error 1.9539925233402755e-14 relative error 8.05940254446429e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.415454545454509 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.4731745735080284 Order of pole (six term test) 6.6631145045903395e-12 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y[1] (analytic) 2.4299702194344164 y[1] (numeric) 2.4299702194344364 absolute error 1.9984014443252818e-14 relative error 8.223975044395467e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.425909090909056 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.8067690401402654 Order of pole (six term test) -2.0053292359989427e-11 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y[1] (analytic) 2.435451451536813 y[1] (numeric) 2.4354514515368324 absolute error 1.9539925233402755e-14 relative error 8.023122456854033e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.4363636363636 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y[1] (analytic) 2.440931759081286 y[1] (numeric) 2.4409317590813058 absolute error 1.9984014443252818e-14 relative error 8.187043479976011e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.446818181818145 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 27.193089685746656 Order of pole (six term test) -3.367599532566601e-10 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y[1] (analytic) 2.4464111456136037 y[1] (numeric) 2.4464111456136237 absolute error 1.9984014443252818e-14 relative error 8.168706424953958e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.457272727272691 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y[1] (analytic) 2.4518896146591747 y[1] (numeric) 2.4518896146591946 absolute error 1.9984014443252818e-14 relative error 8.150454377625275e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.4677272727272355 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y[1] (analytic) 2.4573671697232045 y[1] (numeric) 2.4573671697232244 absolute error 1.9984014443252818e-14 relative error 8.132286737396186e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.478181818181783 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y[1] (analytic) 2.4628438142908498 y[1] (numeric) 2.4628438142908697 absolute error 1.9984014443252818e-14 relative error 8.1142029093741e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.488636363636328 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y[1] (analytic) 2.468319551827371 y[1] (numeric) 2.4683195518273915 absolute error 2.042810365310288e-14 relative error 8.276117911061938e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.499090909090871 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y[1] (analytic) 2.4737943857782843 y[1] (numeric) 2.4737943857783047 absolute error 2.042810365310288e-14 relative error 8.257801768224145e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.5095454545454166 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y[1] (analytic) 2.479268319569509 y[1] (numeric) 2.4792683195695293 absolute error 2.042810365310288e-14 relative error 8.239569510027838e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.519999999999961 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1198713884594764 Order of pole (six term test) -1.687538997430238e-13 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y[1] (analytic) 2.4847413566075183 y[1] (numeric) 2.4847413566075387 absolute error 2.042810365310288e-14 relative error 8.221420550988011e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.530454545454508 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y[1] (analytic) 2.490213500279485 y[1] (numeric) 2.4902135002795056 absolute error 2.042810365310288e-14 relative error 8.203354311110339e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.540909090909054 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y[1] (analytic) 2.495684753953428 y[1] (numeric) 2.4956847539534484 absolute error 2.042810365310288e-14 relative error 8.185370215826582e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.5513636363635985 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y[1] (analytic) 2.5011551209783542 y[1] (numeric) 2.5011551209783747 absolute error 2.042810365310288e-14 relative error 8.167467695930912e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.5618181818181425 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 11.088134610247328 Order of pole (six term test) -3.7628566929015506e-11 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y[1] (analytic) 2.5066246046844043 y[1] (numeric) 2.5066246046844247 absolute error 2.042810365310288e-14 relative error 8.149646187517127e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.57227272727269 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y[1] (analytic) 2.5120932083829914 y[1] (numeric) 2.5120932083830123 absolute error 2.0872192862952943e-14 relative error 8.308685678262774e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.582727272727233 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.9524183098612724 Order of pole (six term test) -1.9397816686250735e-12 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y[1] (analytic) 2.5175609353669444 y[1] (numeric) 2.5175609353669652 absolute error 2.0872192862952943e-14 relative error 8.290640583804077e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.59318181818178 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y[1] (analytic) 2.523027788910643 y[1] (numeric) 2.5230277889106643 absolute error 2.1316282072803006e-14 relative error 8.448690960319009e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.603636363636324 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y[1] (analytic) 2.5284937722701586 y[1] (numeric) 2.52849377227018 absolute error 2.1316282072803006e-14 relative error 8.430426962714881e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.614090909090868 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y[1] (analytic) 2.5339588886833884 y[1] (numeric) 2.5339588886834097 absolute error 2.1316282072803006e-14 relative error 8.412244637433193e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.624545454545414 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y[1] (analytic) 2.5394231413701913 y[1] (numeric) 2.539423141370213 absolute error 2.1760371282653068e-14 relative error 8.569021415986573e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.634999999999961 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y[1] (analytic) 2.544886533532522 y[1] (numeric) 2.544886533532544 absolute error 2.1760371282653068e-14 relative error 8.550625340630726e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.645454545454506 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y[1] (analytic) 2.550349068354562 y[1] (numeric) 2.5503490683545844 absolute error 2.220446049250313e-14 relative error 8.706439745061658e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.65590909090905 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y[1] (analytic) 2.5558107490028537 y[1] (numeric) 2.5558107490028754 absolute error 2.1760371282653068e-14 relative error 8.51407769184117e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.666363636363594 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y[1] (analytic) 2.5612715786264255 y[1] (numeric) 2.5612715786264477 absolute error 2.220446049250313e-14 relative error 8.669311242820676e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.676818181818142 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y[1] (analytic) 2.5667315603569274 y[1] (numeric) 2.5667315603569496 absolute error 2.220446049250313e-14 relative error 8.650869781417812e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.687272727272686 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y[1] (analytic) 2.5721906973087525 y[1] (numeric) 2.572190697308775 absolute error 2.2648549702353193e-14 relative error 8.8051596353451e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.697727272727231 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y[1] (analytic) 2.5776489925791677 y[1] (numeric) 2.5776489925791903 absolute error 2.2648549702353193e-14 relative error 8.786514287847741e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.708181818181776 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y[1] (analytic) 2.5831064492484366 y[1] (numeric) 2.5831064492484592 absolute error 2.2648549702353193e-14 relative error 8.767950584825052e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.718636363636321 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y[1] (analytic) 2.588563070379945 y[1] (numeric) 2.588563070379968 absolute error 2.2648549702353193e-14 relative error 8.749467981488616e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.729090909090867 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y[1] (analytic) 2.5940188590203235 y[1] (numeric) 2.5940188590203466 absolute error 2.3092638912203256e-14 relative error 8.902263309266993e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.739545454545412 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 6.131043849147467 Order of pole (six term test) -3.2025937457547116e-11 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y[1] (analytic) 2.59947381819957 y[1] (numeric) 2.599473818199593 absolute error 2.3092638912203256e-14 relative error 8.883582035151069e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.749999999999959 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y[1] (analytic) 2.60492795093117 y[1] (numeric) 2.6049279509311924 absolute error 2.2648549702353193e-14 relative error 8.694501394657436e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.760454545454503 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y[1] (analytic) 2.6103812602122147 y[1] (numeric) 2.610381260212238 absolute error 2.3092638912203256e-14 relative error 8.846462110414441e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.77090909090905 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y[1] (analytic) 2.6158337490235244 y[1] (numeric) 2.6158337490235475 absolute error 2.3092638912203256e-14 relative error 8.828022392792969e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.781363636363594 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y[1] (analytic) 2.6212854203297615 y[1] (numeric) 2.6212854203297846 absolute error 2.3092638912203256e-14 relative error 8.809662134884254e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.79181818181814 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.049999999999958 y[1] (analytic) 2.6267362770795493 y[1] (numeric) 2.6267362770795724 absolute error 2.3092638912203256e-14 relative error 8.791380814932076e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.802272727272685 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.059999999999958 y[1] (analytic) 2.632186322205586 y[1] (numeric) 2.632186322205609 absolute error 2.3092638912203256e-14 relative error 8.773177915784189e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.812727272727229 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.069999999999958 y[1] (analytic) 2.6376355586247615 y[1] (numeric) 2.6376355586247846 absolute error 2.3092638912203256e-14 relative error 8.755052924841347e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.823181818181775 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.079999999999957 y[1] (analytic) 2.643083989238268 y[1] (numeric) 2.643083989238291 absolute error 2.3092638912203256e-14 relative error 8.737005334007003e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.833636363636319 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.089999999999957 y[1] (analytic) 2.648531616931715 y[1] (numeric) 2.6485316169317383 absolute error 2.353672812205332e-14 relative error 8.886708382707651e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.844090909090864 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.099999999999957 y[1] (analytic) 2.653978444575239 y[1] (numeric) 2.6539784445752623 absolute error 2.353672812205332e-14 relative error 8.868469964465103e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.85454545454541 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.109999999999957 y[1] (analytic) 2.659424475023614 y[1] (numeric) 2.6594244750236378 absolute error 2.398081733190338e-14 relative error 9.017295868757638e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.864999999999956 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.119999999999957 y[1] (analytic) 2.6648697111163626 y[1] (numeric) 2.6648697111163866 absolute error 2.398081733190338e-14 relative error 8.998870463298327e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.875454545454501 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.129999999999956 y[1] (analytic) 2.6703141556778625 y[1] (numeric) 2.6703141556778864 absolute error 2.398081733190338e-14 relative error 8.980522865039384e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.885909090909045 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.139999999999956 y[1] (analytic) 2.6757578115174545 y[1] (numeric) 2.6757578115174785 absolute error 2.398081733190338e-14 relative error 8.96225257333868e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.896363636363589 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.149999999999956 y[1] (analytic) 2.6812006814295497 y[1] (numeric) 2.681200681429574 absolute error 2.4424906541753444e-14 relative error 9.109689815806957e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.906818181818136 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.159999999999956 y[1] (analytic) 2.6866427681937353 y[1] (numeric) 2.6866427681937597 absolute error 2.4424906541753444e-14 relative error 9.091237149542819e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.917272727272683 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.1699999999999555 y[1] (analytic) 2.6920840745748773 y[1] (numeric) 2.692084074574902 absolute error 2.4868995751603507e-14 relative error 9.237822840109744e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.9277272727272265 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.179999999999955 y[1] (analytic) 2.697524603323227 y[1] (numeric) 2.697524603323252 absolute error 2.4868995751603507e-14 relative error 9.219191447212767e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.938181818181773 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 5.372498084876697 Order of pole (six term test) -3.879563337250147e-12 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y[1] (analytic) 2.7029643571745217 y[1] (numeric) 2.7029643571745465 absolute error 2.4868995751603507e-14 relative error 9.200637694534644e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.948636363636316 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.199999999999955 y[1] (analytic) 2.708403338850088 y[1] (numeric) 2.708403338850113 absolute error 2.4868995751603507e-14 relative error 9.18216108910949e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.959090909090861 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.209999999999955 y[1] (analytic) 2.7138415510569414 y[1] (numeric) 2.7138415510569667 absolute error 2.531308496145357e-14 relative error 9.327399734002544e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.969545454545408 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.2199999999999545 y[1] (analytic) 2.7192789964878883 y[1] (numeric) 2.7192789964879136 absolute error 2.531308496145357e-14 relative error 9.308748750733903e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.979999999999955 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3199324859975994 Order of pole (six term test) -1.5727863456049818e-11 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y[1] (analytic) 2.7247156778216235 y[1] (numeric) 2.724715677821649 absolute error 2.531308496145357e-14 relative error 9.290174812548173e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 5.990454545454497 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.239999999999954 y[1] (analytic) 2.73015159772283 y[1] (numeric) 2.7301515977228554 absolute error 2.531308496145357e-14 relative error 9.271677434530285e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.000909090909044 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.249999999999954 y[1] (analytic) 2.7355867588422758 y[1] (numeric) 2.7355867588423015 absolute error 2.5757174171303632e-14 relative error 9.415593962811946e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.011363636363588 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.259999999999954 y[1] (analytic) 2.741021163816911 y[1] (numeric) 2.741021163816937 absolute error 2.5757174171303632e-14 relative error 9.39692641243105e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.0218181818181336 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.269999999999953 y[1] (analytic) 2.746454815269963 y[1] (numeric) 2.746454815269989 absolute error 2.5757174171303632e-14 relative error 9.378335309977356e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.032272727272678 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.279999999999953 y[1] (analytic) 2.7518877158110326 y[1] (numeric) 2.7518877158110584 absolute error 2.5757174171303632e-14 relative error 9.359820178459756e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.042727272727224 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.289999999999953 y[1] (analytic) 2.757319868036187 y[1] (numeric) 2.757319868036213 absolute error 2.6201263381153694e-14 relative error 9.502438830143674e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.05318181818177 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.299999999999953 y[1] (analytic) 2.7627512745280542 y[1] (numeric) 2.7627512745280804 absolute error 2.6201263381153694e-14 relative error 9.483757594367416e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.0636363636363155 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3099999999999525 y[1] (analytic) 2.7681819378559154 y[1] (numeric) 2.768181937855942 absolute error 2.6645352591003757e-14 relative error 9.625578516577496e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.07409090909086 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.319999999999952 y[1] (analytic) 2.773611860575797 y[1] (numeric) 2.7736118605758238 absolute error 2.6645352591003757e-14 relative error 9.606734442458083e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.084545454545405 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.329999999999952 y[1] (analytic) 2.7790410452305605 y[1] (numeric) 2.7790410452305876 absolute error 2.708944180085382e-14 relative error 9.747765995520361e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.094999999999949 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 17.766512383154488 Order of pole (six term test) -1.13464793116691e-10 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y[1] (analytic) 2.7844694943499944 y[1] (numeric) 2.7844694943500214 absolute error 2.708944180085382e-14 relative error 9.728762285175464e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.105454545454494 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.349999999999952 y[1] (analytic) 2.7898972104509014 y[1] (numeric) 2.789897210450929 absolute error 2.7533531010703882e-14 relative error 9.869012703250788e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.115909090909042 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.3599999999999515 y[1] (analytic) 2.7953241960371904 y[1] (numeric) 2.795324196037218 absolute error 2.7533531010703882e-14 relative error 9.8498524964428e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.126363636363587 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.369999999999951 y[1] (analytic) 2.800750453599961 y[1] (numeric) 2.800750453599989 absolute error 2.7977620220553945e-14 relative error 9.989329889991715e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.136818181818132 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.379999999999951 y[1] (analytic) 2.8061759856175934 y[1] (numeric) 2.8061759856176214 absolute error 2.7977620220553945e-14 relative error 9.970016265532445e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.147272727272675 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.389999999999951 y[1] (analytic) 2.8116007945558334 y[1] (numeric) 2.8116007945558614 absolute error 2.7977620220553945e-14 relative error 9.950779738975622e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.157727272727221 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 8.45764956385737 Order of pole (six term test) 1.3091749906379846e-11 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) 2.817024882867878 y[1] (numeric) 2.817024882867906 absolute error 2.7977620220553945e-14 relative error 9.931619841451763e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.168181818181767 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.40999999999995 y[1] (analytic) 2.822448252994461 y[1] (numeric) 2.822448252994489 absolute error 2.7977620220553945e-14 relative error 9.912536107923766e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.178636363636313 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.41999999999995 y[1] (analytic) 2.8278709073639376 y[1] (numeric) 2.827870907363966 absolute error 2.842170943040401e-14 relative error 1.005056820535628e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.189090909090858 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.595341813741526 Order of pole (six term test) -6.4783733932927134e-12 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) 2.8332928483923676 y[1] (numeric) 2.833292848392396 absolute error 2.842170943040401e-14 relative error 1.0031334899437137e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.199545454545402 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.43999999999995 y[1] (analytic) 2.8387140784835974 y[1] (numeric) 2.838714078483626 absolute error 2.842170943040401e-14 relative error 1.0012177572172572e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.2099999999999485 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.009677182901012 Order of pole (six term test) -2.2078339156905713e-11 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) 2.8441346000293435 y[1] (numeric) 2.844134600029372 absolute error 2.842170943040401e-14 relative error 9.993095766322302e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.220454545454494 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.459999999999949 y[1] (analytic) 2.8495544154092736 y[1] (numeric) 2.849554415409302 absolute error 2.842170943040401e-14 relative error 9.97408902834441e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.230909090909038 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.0511224597963045 Order of pole (six term test) 9.245937349078304e-12 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) 2.8549735269910865 y[1] (numeric) 2.854973526991115 absolute error 2.842170943040401e-14 relative error 9.95515690835782e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.241363636363584 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.479999999999949 y[1] (analytic) 2.8603919371305935 y[1] (numeric) 2.8603919371306223 absolute error 2.886579864025407e-14 relative error 1.0091553631356841e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.251818181818129 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.489999999999949 y[1] (analytic) 2.865809648171798 y[1] (numeric) 2.865809648171827 absolute error 2.886579864025407e-14 relative error 1.0072475908743133e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.262272727272673 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6393538009857065 Order of pole (six term test) -6.915357175785175e-12 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) 2.871226662446972 y[1] (numeric) 2.8712266624470013 absolute error 2.930988785010413e-14 relative error 1.0208141430786623e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.272727272727221 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.509999999999948 y[1] (analytic) 2.876642982276737 y[1] (numeric) 2.8766429822767665 absolute error 2.930988785010413e-14 relative error 1.0188920916041738e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.283181818181766 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.519999999999948 y[1] (analytic) 2.882058609970141 y[1] (numeric) 2.8820586099701697 absolute error 2.886579864025407e-14 relative error 1.0015687585393391e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.293636363636311 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.529999999999948 y[1] (analytic) 2.8874735478247318 y[1] (numeric) 2.8874735478247606 absolute error 2.886579864025407e-14 relative error 9.996904962817761e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.304090909090854 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.539999999999948 y[1] (analytic) 2.892887798126639 y[1] (numeric) 2.892887798126668 absolute error 2.886579864025407e-14 relative error 9.978195026764202e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.3145454545454 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.549999999999947 y[1] (analytic) 2.8983013631506456 y[1] (numeric) 2.8983013631506744 absolute error 2.886579864025407e-14 relative error 9.959557348748245e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.324999999999946 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.559999999999947 y[1] (analytic) 2.9037142451602636 y[1] (numeric) 2.903714245160293 absolute error 2.930988785010413e-14 relative error 1.0093929834506303e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.335454545454493 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 13.113699321709708 Order of pole (six term test) -5.240075040546799e-11 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) 2.9091264464078095 y[1] (numeric) 2.909126446407839 absolute error 2.930988785010413e-14 relative error 1.0075150870906968e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.345909090909037 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.579999999999947 y[1] (analytic) 2.9145379691344764 y[1] (numeric) 2.914537969134506 absolute error 2.9753977059954195e-14 relative error 1.0208814355844595e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.3563636363635805 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.589999999999947 y[1] (analytic) 2.9199488155704088 y[1] (numeric) 2.9199488155704385 absolute error 2.9753977059954195e-14 relative error 1.0189896789044156e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.366818181818127 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.599999999999946 y[1] (analytic) 2.9253589879347737 y[1] (numeric) 2.9253589879348034 absolute error 2.9753977059954195e-14 relative error 1.0171051547064902e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.377272727272671 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7629790313905133 Order of pole (six term test) -3.028688411177427e-12 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) 2.930768488435833 y[1] (numeric) 2.930768488435863 absolute error 2.9753977059954195e-14 relative error 1.0152278208721307e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.3877272727272185 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 7.029597982141169 Order of pole (six term test) 3.9541703245049575e-12 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) 2.9361773192710157 y[1] (numeric) 2.9361773192710454 absolute error 2.9753977059954195e-14 relative error 1.013357635612464e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.398181818181762 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.298631476509143 Order of pole (six term test) 1.958255779754836e-11 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) 2.941585482626987 y[1] (numeric) 2.941585482627017 absolute error 2.9753977059954195e-14 relative error 1.0114945574650566e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.408636363636307 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.6399999999999455 y[1] (analytic) 2.9469929806797195 y[1] (numeric) 2.9469929806797497 absolute error 3.019806626980426e-14 relative error 1.0247077773099791e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.419090909090852 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.649999999999945 y[1] (analytic) 2.952399815594563 y[1] (numeric) 2.9523998155945934 absolute error 3.019806626980426e-14 relative error 1.0228311934683847e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.429545454545398 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.659999999999945 y[1] (analytic) 2.957805989526314 y[1] (numeric) 2.957805989526344 absolute error 3.019806626980426e-14 relative error 1.0209616985271036e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.439999999999943 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 6.55354567133874 Order of pole (six term test) 1.6690648863004753e-11 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y[1] (analytic) 2.963211504619281 y[1] (numeric) 2.963211504619311 absolute error 3.019806626980426e-14 relative error 1.019099251698004e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.450454545454489 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.679999999999945 y[1] (analytic) 2.9686163630073565 y[1] (numeric) 2.9686163630073867 absolute error 3.019806626980426e-14 relative error 1.0172438125084006e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.460909090909034 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 28.111192690661237 Order of pole (six term test) -5.817604176172608e-10 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y[1] (analytic) 2.9740205668140822 y[1] (numeric) 2.974020566814113 absolute error 3.064215547965432e-14 relative error 1.0303276252214931e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.47136363636358 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.699999999999944 y[1] (analytic) 2.9794241181527177 y[1] (numeric) 2.9794241181527483 absolute error 3.064215547965432e-14 relative error 1.0284589996087184e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.481818181818124 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y[1] (analytic) 2.984827019126303 y[1] (numeric) 2.9848270191263335 absolute error 3.064215547965432e-14 relative error 1.0265973633749695e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.4922727272726695 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y[1] (analytic) 2.990229271827728 y[1] (numeric) 2.9902292718277588 absolute error 3.064215547965432e-14 relative error 1.0247426767020045e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.502727272727215 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) 2.9956308783397962 y[1] (numeric) 2.9956308783398273 absolute error 3.108624468950438e-14 relative error 1.0377194638457138e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.51318181818176 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) 3.0010318407352896 y[1] (numeric) 3.001031840735321 absolute error 3.1530333899354446e-14 relative error 1.0506497622374152e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.523636363636305 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) 3.0064321610770333 y[1] (numeric) 3.006432161077065 absolute error 3.1530333899354446e-14 relative error 1.048762526810481e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.53409090909085 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) 3.0118318414179575 y[1] (numeric) 3.011831841417989 absolute error 3.1530333899354446e-14 relative error 1.046882281598766e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.544545454545395 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) 3.0172308838011626 y[1] (numeric) 3.0172308838011945 absolute error 3.197442310920451e-14 relative error 1.0597274236077867e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.554999999999941 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) 3.022629290259982 y[1] (numeric) 3.022629290260014 absolute error 3.197442310920451e-14 relative error 1.0578347537436299e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.565454545454484 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) 3.0280270628180426 y[1] (numeric) 3.0280270628180745 absolute error 3.197442310920451e-14 relative error 1.0559490534885581e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.575909090909031 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) 3.033424203489327 y[1] (numeric) 3.033424203489359 absolute error 3.197442310920451e-14 relative error 1.0540702837547269e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.586363636363577 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 4.389450448296081 Order of pole (six term test) -2.958344680337177e-11 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) 3.0388207142782355 y[1] (numeric) 3.0388207142782675 absolute error 3.197442310920451e-14 relative error 1.0521984057489519e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.596818181818121 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) 3.044216597179646 y[1] (numeric) 3.0442165971796786 absolute error 3.241851231905457e-14 relative error 1.0649213445945048e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.607272727272667 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 8.683835354830855 Order of pole (six term test) -7.701927984271606e-11 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) 3.049611854178976 y[1] (numeric) 3.0496118541790085 absolute error 3.241851231905457e-14 relative error 1.0630373263610744e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.617727272727211 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) 3.0550064872522382 y[1] (numeric) 3.055006487252271 absolute error 3.2862601528904634e-14 relative error 1.0756966201555342e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.628181818181758 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) 3.0604004983661044 y[1] (numeric) 3.0604004983661377 absolute error 3.3306690738754696e-14 relative error 1.0883115055214693e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.638636363636303 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) 3.065793889477962 y[1] (numeric) 3.0657938894779955 absolute error 3.3306690738754696e-14 relative error 1.086396931413615e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.649090909090847 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 6.046954636623556 Order of pole (six term test) 5.972111694063642e-12 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) 3.0711866625359723 y[1] (numeric) 3.0711866625360056 absolute error 3.3306690738754696e-14 relative error 1.0844893000170933e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.659545454545394 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 7.108385478635817 Order of pole (six term test) -3.305267171072046e-11 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) 3.0765788194791286 y[1] (numeric) 3.0765788194791623 absolute error 3.375077994860476e-14 relative error 1.0970230872979499e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.669999999999938 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) 3.081970362237315 y[1] (numeric) 3.0819703622373487 absolute error 3.375077994860476e-14 relative error 1.0951039751110336e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.680454545454483 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 31.57834978659157 Order of pole (six term test) -3.4657610115118587e-10 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) 3.0873612927313605 y[1] (numeric) 3.0873612927313943 absolute error 3.375077994860476e-14 relative error 1.0931917825123004e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.690909090909028 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) 3.0927516128730987 y[1] (numeric) 3.0927516128731325 absolute error 3.375077994860476e-14 relative error 1.0912864715071968e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.701363636363574 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) 3.0981413245654212 y[1] (numeric) 3.0981413245654554 absolute error 3.419486915845482e-14 relative error 1.1037220570708266e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.71181818181812 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) 3.1035304297023356 y[1] (numeric) 3.10353042970237 absolute error 3.419486915845482e-14 relative error 1.101805506116288e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.722272727272663 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) 3.108918930169019 y[1] (numeric) 3.1089189301690534 absolute error 3.419486915845482e-14 relative error 1.0998958135134063e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.732727272727209 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) 3.1143068278418737 y[1] (numeric) 3.114306827841908 absolute error 3.419486915845482e-14 relative error 1.097992941888481e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.743181818181755 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) 3.1196941245885808 y[1] (numeric) 3.1196941245886154 absolute error 3.4638958368304884e-14 relative error 1.1103318782213305e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.753636363636301 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) 3.1250808222681554 y[1] (numeric) 3.12508082226819 absolute error 3.4638958368304884e-14 relative error 1.1084180006315561e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.764090909090845 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) 3.130466922730999 y[1] (numeric) 3.1304669227310336 absolute error 3.4638958368304884e-14 relative error 1.1065109206803593e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.77454545454539 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) 3.1358524278189526 y[1] (numeric) 3.135852427818987 absolute error 3.4638958368304884e-14 relative error 1.1046106016027343e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.784999999999934 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) 3.1412373393653508 y[1] (numeric) 3.1412373393653854 absolute error 3.4638958368304884e-14 relative error 1.102717006900958e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 6.795454545454481 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 11.010990388690061 Order of pole (six term test) -7.965006432186783e-11 Finished! diff ( y , x , 1 ) = (0.1 * x + 0.2) / (0.2 * x + 0.3); Iterations 491 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.40816326530484%