##############ECHO OF PROBLEM################# ##############temp/mult_lin_sinpostode.ode################# diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) * sin ( x ) ; ! #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 #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.01 $glob_look_poles=true $glob_max_iter=1000000000 $glob_max_minutes=30.0 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(0.2 * sin(x) - 0.2 * cos(x) * x - 0.3 * cos(x)) 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 estimated_h 1.0e-06 estimated_answer 1.0 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 2.027239825665583e-183 estimated_step_error 2.027239825665583e-183 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 1.3604577760145903e-175 estimated_step_error 1.3604577760145903e-175 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 9.129879713575361e-168 estimated_step_error 9.129879713575361e-168 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 6.126961414815378e-160 estimated_step_error 6.126961414815378e-160 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 4.111738034403559e-152 estimated_step_error 4.111738034403559e-152 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 2.759345827696917e-144 estimated_step_error 2.759345827696917e-144 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 1.8517725404784156e-136 estimated_step_error 1.8517725404784156e-136 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 1.2427127790539326e-128 estimated_step_error 1.2427127790539326e-128 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 8.339828617559613e-121 estimated_step_error 8.339828617559613e-121 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 5.596931116830955e-113 estimated_step_error 5.596931116830955e-113 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 3.7562608627159136e-105 estimated_step_error 3.7562608627159136e-105 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 2.5210846017245504e-97 estimated_step_error 2.5210846017245504e-97 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 1.6922747020681093e-89 estimated_step_error 1.6922747020681093e-89 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 1.1362078404488683e-81 estimated_step_error 1.1362078404488683e-81 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 7.632229530026116e-74 estimated_step_error 7.632229530026116e-74 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 5.131656474193661e-66 estimated_step_error 5.131656474193661e-66 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 3.4568859381948694e-58 estimated_step_error 3.4568859381948694e-58 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 2.33744013575258e-50 estimated_step_error 2.33744013575258e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) -0.29843464955960264 y[1] (numeric) -0.29843464955960264 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16473662206160894 Order of pole (three term test) 22.970523962318907 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) -0.2980982033746214 y[1] (numeric) -0.29809820337462145 absolute error 5.551115123125783e-17 relative error 1.8621766452411894e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.17410063741680815 Order of pole (three term test) 22.96688865240649 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) -0.2977275565588688 y[1] (numeric) -0.29772755655886884 absolute error 5.551115123125783e-17 relative error 1.8644949051023355e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18338933094430596 Order of pole (three term test) 22.96304969519617 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) -0.2973223488270819 y[1] (numeric) -0.297322348827082 absolute error 5.551115123125783e-17 relative error 1.867035944329306e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19259865057719175 Order of pole (three term test) 22.9590087626498 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) -0.2968822238288977 y[1] (numeric) -0.29688222382889773 absolute error 5.551115123125783e-17 relative error 1.8698038068877647e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.20172457873480232 Order of pole (three term test) 22.95476761455496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) -0.2964068292241741 y[1] (numeric) -0.29640682922417416 absolute error 5.551115123125783e-17 relative error 1.87280270756766e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2107631340649913 Order of pole (three term test) 22.950328097767073 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) -0.2958958167578589 y[1] (numeric) -0.29589581675785903 absolute error 1.1102230246251565e-16 relative error 3.752074080633887e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21971037317102704 Order of pole (three term test) 22.94569214541427 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) -0.295348842334394 y[1] (numeric) -0.2953488423343942 absolute error 1.6653345369377348e-16 relative error 5.6385341610794015e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22856239232239217 Order of pole (three term test) 22.94086177606513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) -0.294765566091644 y[1] (numeric) -0.29476556609164406 absolute error 5.551115123125783e-17 relative error 1.8832305267976635e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23731532914875977 Order of pole (three term test) 22.935839092859794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) -0.29414565247433727 y[1] (numeric) -0.2941456524743373 absolute error 5.551115123125783e-17 relative error 1.8871994457270074e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24596536431642912 Order of pole (three term test) 22.930626282604678 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) -0.29348877030700987 y[1] (numeric) -0.29348877030701 absolute error 1.1102230246251565e-16 relative error 3.782846694487783e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25450872318651196 Order of pole (three term test) 22.92522561483128 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) -0.2927945928664388 y[1] (numeric) -0.29279459286643883 absolute error 5.551115123125783e-17 relative error 1.8959076630414347e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26294167745416347 Order of pole (three term test) 22.919639440819342 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) -0.29206279795355444 y[1] (numeric) -0.29206279795355444 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2712605467681662 Order of pole (three term test) 22.9138701925849 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) -0.291293067964822 y[1] (numeric) -0.291293067964822 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27946170033017265 Order of pole (three term test) 22.907920381833524 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) -0.29048508996307937 y[1] (numeric) -0.29048508996307937 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2875415584729296 Order of pole (three term test) 22.901792598879183 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) -0.28963855574782105 y[1] (numeric) -0.28963855574782105 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.29549659421681124 Order of pole (three term test) 22.895489511529302 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) -0.2887531619249176 y[1] (numeric) -0.28875316192491757 absolute error 5.551115123125783e-17 relative error 1.9224430604050662e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30332333480399376 Order of pole (three term test) 22.889013863936313 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) -0.287828609975759 y[1] (numeric) -0.28782860997575893 absolute error 5.551115123125783e-17 relative error 1.9286182577865694e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.311018363209619 Order of pole (three term test) 22.88236847541625 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) -0.2868646063258117 y[1] (numeric) -0.2868646063258116 absolute error 5.551115123125783e-17 relative error 1.9350993467702332e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31857831962929867 Order of pole (three term test) 22.87555623923489 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) -0.28586086241257846 y[1] (numeric) -0.2858608624125784 absolute error 5.551115123125783e-17 relative error 1.9418940656220178e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3259999029423172 Order of pole (three term test) 22.86858012136188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) -0.28481709475295025 y[1] (numeric) -0.2848170947529502 absolute error 5.551115123125783e-17 relative error 1.9490105142532995e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33327987214991345 Order of pole (three term test) 22.861443159193392 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) -0.2837330250099395 y[1] (numeric) -0.28373302500993947 absolute error 5.551115123125783e-17 relative error 1.956457174109824e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34041504778801324 Order of pole (three term test) 22.854148460243852 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) -0.2826083800587849 y[1] (numeric) -0.28260838005878486 absolute error 5.551115123125783e-17 relative error 1.964242929374955e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34740231331380744 Order of pole (three term test) 22.846699200807244 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) -0.28144289205241596 y[1] (numeric) -0.2814428920524159 absolute error 5.551115123125783e-17 relative error 1.9723770895915688e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3542386164655771 Order of pole (three term test) 22.83909862458853 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) -0.2802362984862685 y[1] (numeric) -0.28023629848626846 absolute error 5.551115123125783e-17 relative error 1.9808694138164208e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3609209705951758 Order of pole (three term test) 22.83135004130586 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) -0.2789883422624399 y[1] (numeric) -0.27898834226243985 absolute error 5.551115123125783e-17 relative error 1.9897301364312695e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3674464559725905 Order of pole (three term test) 22.823456825263968 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) -0.2776987717531737 y[1] (numeric) -0.2776987717531737 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3738122210620138 Order of pole (three term test) 22.815422413899498 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) -0.27636734086366443 y[1] (numeric) -0.27636734086366443 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3800154837688731 Order of pole (three term test) 22.807250306298773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) -0.27499380909417126 y[1] (numeric) -0.27499380909417126 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38605353265726944 Order of pole (three term test) 22.798944061688672 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) -0.273577941601432 y[1] (numeric) -0.273577941601432 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3919237281372928 Order of pole (three term test) 22.790507297901204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) -0.27211950925936623 y[1] (numeric) -0.2721195092593662 absolute error 5.551115123125783e-17 relative error 2.0399548486010346e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39762350362169574 Order of pole (three term test) 22.78194368981243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) -0.2706182887190585 y[1] (numeric) -0.2706182887190585 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4031503666514101 Order of pole (three term test) 22.773256967756378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) -0.26907406246801224 y[1] (numeric) -0.2690740624680123 absolute error 5.551115123125783e-17 relative error 2.063043562136616e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4085018999894152 Order of pole (three term test) 22.76445091591465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) -0.26748661888866343 y[1] (numeric) -0.2674866188886635 absolute error 5.551115123125783e-17 relative error 2.075287035362444e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4136757626824684 Order of pole (three term test) 22.755529370682243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) -0.2658557523161458 y[1] (numeric) -0.2658557523161459 absolute error 1.1102230246251565e-16 relative error 4.176035368626971e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4186696910902292 Order of pole (three term test) 22.746496219010517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) -0.2641812630952979 y[1] (numeric) -0.26418126309529794 absolute error 5.551115123125783e-17 relative error 2.1012523969662956e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4234814998813157 Order of pole (three term test) 22.73735539672775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) -0.26246295763690186 y[1] (numeric) -0.2624629576369019 absolute error 5.551115123125783e-17 relative error 2.115008979973982e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.428109082995849 Order of pole (three term test) 22.728110886838124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) -0.26070064847314595 y[1] (numeric) -0.2607006484731459 absolute error 5.551115123125783e-17 relative error 2.129306219849157e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43255041457404975 Order of pole (three term test) 22.718766717799816 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) -0.25889415431229984 y[1] (numeric) -0.2588941543122999 absolute error 5.551115123125783e-17 relative error 2.1441639491131818e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4368035498504745 Order of pole (three term test) 22.70932696178293 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) -0.2570433000925967 y[1] (numeric) -0.2570433000925967 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44086662601347687 Order of pole (three term test) 22.699795732907948 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) -0.25514791703530837 y[1] (numeric) -0.2551479170353084 absolute error 5.551115123125783e-17 relative error 2.1756458714721145e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44473786302951296 Order of pole (three term test) 22.690177185465487 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) -0.25320784269701047 y[1] (numeric) -0.25320784269701047 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44841556443190334 Order of pole (three term test) 22.680475512118125 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) -0.2512229210210231 y[1] (numeric) -0.25122292102102317 absolute error 5.551115123125783e-17 relative error 2.2096372021170984e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4518981180736998 Order of pole (three term test) 22.670694942084996 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) -0.24919300238802347 y[1] (numeric) -0.24919300238802353 absolute error 5.551115123125783e-17 relative error 2.227636839690237e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4551839968442974 Order of pole (three term test) 22.660839739309957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) -0.24711794366581752 y[1] (numeric) -0.24711794366581757 absolute error 5.551115123125783e-17 relative error 2.246342390511579e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4582717593494676 Order of pole (three term test) 22.650914200614064 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) -0.24499760825826544 y[1] (numeric) -0.24499760825826547 absolute error 2.7755575615628914e-17 relative error 1.1328916969005769e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46116005055448944 Order of pole (three term test) 22.64092265383326 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) -0.24283186615335062 y[1] (numeric) -0.2428318661533507 absolute error 8.326672684688674e-17 relative error 3.4289868198065495e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4638476023900748 Order of pole (three term test) 22.63086945594179 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) -0.2406205939703853 y[1] (numeric) -0.24062059397038535 absolute error 5.551115123125783e-17 relative error 2.306999177222958e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46633323432080337 Order of pole (three term test) 22.620758991162507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) -0.23836367500634295 y[1] (numeric) -0.23836367500634298 absolute error 2.7755575615628914e-17 relative error 1.1644213664221416e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4686158538757889 Order of pole (three term test) 22.610595669064526 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) -0.23606099928131147 y[1] (numeric) -0.2360609992813115 absolute error 2.7755575615628914e-17 relative error 1.175779806919858e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4706944571413262 Order of pole (three term test) 22.6003839226493 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) -0.23371246358305772 y[1] (numeric) -0.23371246358305772 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47256812921527225 Order of pole (three term test) 22.590128206425735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) -0.231317971510696 y[1] (numeric) -0.23131797151069602 absolute error 2.7755575615628914e-17 relative error 1.1998884234701805e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47423604462293706 Order of pole (three term test) 22.57983299447528 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) -0.22887743351745327 y[1] (numeric) -0.2288774335174533 absolute error 2.7755575615628914e-17 relative error 1.2126829276732687e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47569746769427673 Order of pole (three term test) 22.5695027785078 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) -0.2263907669525227 y[1] (numeric) -0.22639076695252272 absolute error 2.7755575615628914e-17 relative error 1.2260029854242971e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47695175290219405 Order of pole (three term test) 22.55914206590902 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) -0.2238578961019987 y[1] (numeric) -0.22385789610199874 absolute error 5.551115123125783e-17 relative error 2.4797495285118157e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47799834516177003 Order of pole (three term test) 22.548755377780413 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) -0.221278752228886 y[1] (numeric) -0.22127875222888602 absolute error 2.7755575615628914e-17 relative error 1.2543262891738988e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4788367800902629 Order of pole (three term test) 22.538347246972386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) -0.2186532736121748 y[1] (numeric) -0.21865327361217488 absolute error 8.326672684688674e-17 relative error 3.8081628265294986e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4794666842277382 Order of pole (three term test) 22.527922216111556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) -0.21598140558497653 y[1] (numeric) -0.21598140558497655 absolute error 2.7755575615628914e-17 relative error 1.2850909799597844e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47988777521819215 Order of pole (three term test) 22.51748483562302 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) -0.21326310057171072 y[1] (numeric) -0.21326310057171077 absolute error 5.551115123125783e-17 relative error 2.6029421443486864e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48009986195106763 Order of pole (three term test) 22.507039661748404 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) -0.210498318124339 y[1] (numeric) -0.210498318124339 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4801028446630619 Order of pole (three term test) 22.496591254560656 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) -0.20768702495763652 y[1] (numeric) -0.20768702495763658 absolute error 5.551115123125783e-17 relative error 2.672827117754749e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.479896715000155 Order of pole (three term test) 22.486144175976335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) -0.20482919498349714 y[1] (numeric) -0.20482919498349716 absolute error 2.7755575615628914e-17 relative error 1.355059546949113e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4794815560397931 Order of pole (three term test) 22.47570298776627 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) -0.20192480934426257 y[1] (numeric) -0.20192480934426263 absolute error 5.551115123125783e-17 relative error 2.7491000938184173e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4788575422731909 Order of pole (three term test) 22.465272249565533 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) -0.19897385644507243 y[1] (numeric) -0.1989738564450725 absolute error 8.326672684688674e-17 relative error 4.184807408096494e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47802493954772324 Order of pole (three term test) 22.45485651688351 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) -0.19597633198522618 y[1] (numeric) -0.19597633198522627 absolute error 8.326672684688674e-17 relative error 4.24881545661156e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47698410496939986 Order of pole (three term test) 22.44446033911493 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) -0.19293223898855236 y[1] (numeric) -0.19293223898855247 absolute error 1.1102230246251565e-16 relative error 5.754471261234011e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47573548676543165 Order of pole (three term test) 22.434088257552826 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) -0.18984158783277869 y[1] (numeric) -0.18984158783277877 absolute error 8.326672684688674e-17 relative error 4.38611622445088e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4742796241069175 Order of pole (three term test) 22.423744803404137 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) -0.18670439627789676 y[1] (numeric) -0.18670439627789684 absolute error 8.326672684688674e-17 relative error 4.459816078618197e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47261714689169304 Order of pole (three term test) 22.41343449580896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) -0.18352068949351624 y[1] (numeric) -0.18352068949351633 absolute error 8.326672684688674e-17 relative error 4.5371847216075624e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47074877548740496 Order of pole (three term test) 22.403161839864214 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) -0.18029050008520234 y[1] (numeric) -0.18029050008520245 absolute error 1.1102230246251565e-16 relative error 6.157967414259117e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4686753204348909 Order of pole (three term test) 22.3929313246527 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) -0.1770138681197913 y[1] (numeric) -0.17701386811979142 absolute error 1.1102230246251565e-16 relative error 6.271955053113866e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4663976821119583 Order of pole (three term test) 22.382747421278264 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) -0.17369084114967845 y[1] (numeric) -0.1736908411496785 absolute error 5.551115123125783e-17 relative error 3.195974575505739e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4639168503576814 Order of pole (three term test) 22.3726145809081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) -0.1703214742360733 y[1] (numeric) -0.17032147423607338 absolute error 8.326672684688674e-17 relative error 4.888797917018689e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46123390405734466 Order of pole (three term test) 22.3625372328229 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) -0.16690582997121767 y[1] (numeric) -0.1669058299712178 absolute error 1.3877787807814457e-16 relative error 8.314741198799127e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4583500106881828 Order of pole (three term test) 22.352519782475852 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) -0.1634439784995601 y[1] (numeric) -0.16344397849956022 absolute error 1.1102230246251565e-16 relative error 6.792682329549049e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4552664258260882 Order of pole (three term test) 22.342566609561253 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) -0.1599359975378828 y[1] (numeric) -0.15993599753788296 absolute error 1.6653345369377348e-16 relative error 1.0412506018498306e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45198449261346246 Order of pole (three term test) 22.332682066093582 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) -0.15638197239437684 y[1] (numeric) -0.15638197239437696 absolute error 1.1102230246251565e-16 relative error 7.099431012580563e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4485056411884242 Order of pole (three term test) 22.322870474497996 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) -0.15278199598665926 y[1] (numeric) -0.15278199598665942 absolute error 1.6653345369377348e-16 relative error 1.0900070562523282e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44483138807558387 Order of pole (three term test) 22.313136125712987 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) -0.14913616885873004 y[1] (numeric) -0.14913616885873018 absolute error 1.3877787807814457e-16 relative error 9.305447440426244e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4409633355386285 Order of pole (three term test) 22.30348327730603 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) -0.14544459919686206 y[1] (numeric) -0.1454445991968622 absolute error 1.3877787807814457e-16 relative error 9.541631579616514e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43690317089496655 Order of pole (three term test) 22.293916151603216 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) -0.14170740284442201 y[1] (numeric) -0.14170740284442213 absolute error 1.1102230246251565e-16 relative error 7.834615569407127e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43265266579271106 Order of pole (three term test) 22.284438933833567 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) -0.13792470331561682 y[1] (numeric) -0.13792470331561693 absolute error 1.1102230246251565e-16 relative error 8.049486407700318e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42821367545027983 Order of pole (three term test) 22.27505577028883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) -0.1340966318081625 y[1] (numeric) -0.13409663180816264 absolute error 1.3877787807814457e-16 relative error 1.0349094992682516e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42358813785893057 Order of pole (three term test) 22.26577076649977 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) -0.13022332721487123 y[1] (numeric) -0.13022332721487134 absolute error 1.1102230246251565e-16 relative error 8.525531088552707e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41877807294854397 Order of pole (three term test) 22.256587985429576 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) -0.1263049361341528 y[1] (numeric) -0.12630493613415292 absolute error 1.1102230246251565e-16 relative error 8.790020870173677e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4137855817170026 Order of pole (three term test) 22.24751144568528 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) -0.12234161287942787 y[1] (numeric) -0.12234161287942799 absolute error 1.249000902703301e-16 relative error 1.0209125687547026e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4086128453235181 Order of pole (three term test) 22.23854511974801 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) -0.1183335194874487 y[1] (numeric) -0.11833351948744884 absolute error 1.3877787807814457e-16 relative error 1.1727689557383978e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4032621241462825 Order of pole (three term test) 22.229692932222875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) -0.1142808257255247 y[1] (numeric) -0.11428082572552484 absolute error 1.3877787807814457e-16 relative error 1.2143583772439302e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39773575680483486 Order of pole (three term test) 22.2209587581092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) -0.11018370909764934 y[1] (numeric) -0.1101837090976495 absolute error 1.6653345369377348e-16 relative error 1.5114162979046627e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39203615914754486 Order of pole (three term test) 22.21234642109198 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) -0.10604235484952622 y[1] (numeric) -0.10604235484952632 absolute error 9.71445146547012e-17 relative error 9.160916389733986e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3861658232046506 Order of pole (three term test) 22.20385969185528 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) -0.10185695597249028 y[1] (numeric) -0.10185695597249037 absolute error 8.326672684688674e-17 relative error 8.174868967159747e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3801273161072682 Order of pole (three term test) 22.19550228641838 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) -0.09762771320632312 y[1] (numeric) -0.09762771320632321 absolute error 9.71445146547012e-17 relative error 9.950506005338798e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37392327897285293 Order of pole (three term test) 22.18727786449542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) -0.09335483504095847 y[1] (numeric) -0.09335483504095861 absolute error 1.3877787807814457e-16 relative error 1.4865633688630825e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36755642575756464 Order of pole (three term test) 22.17919002787917 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) -0.08903853771707644 y[1] (numeric) -0.08903853771707654 absolute error 9.71445146547012e-17 relative error 1.091038971949223e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3610295420760359 Order of pole (three term test) 22.171242318849934 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) -0.08467904522558342 y[1] (numeric) -0.08467904522558355 absolute error 1.249000902703301e-16 relative error 1.474982269079659e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3543454839890413 Order of pole (three term test) 22.163438218609997 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) -0.08027658930597704 y[1] (numeric) -0.08027658930597718 absolute error 1.3877787807814457e-16 relative error 1.7287465658161909e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34750717675958565 Order of pole (three term test) 22.155781145744587 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) -0.07583140944359251 y[1] (numeric) -0.07583140944359265 absolute error 1.3877787807814457e-16 relative error 1.8300843818731212e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3405176135779482 Order of pole (three term test) 22.148274454709878 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) -0.07134375286572986 y[1] (numeric) -0.07134375286573001 absolute error 1.5265566588595902e-16 relative error 2.1397201542405479e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33337985425622524 Order of pole (three term test) 22.140921434348865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) -0.06681387453666 y[1] (numeric) -0.06681387453666014 absolute error 1.3877787807814457e-16 relative error 2.077081729514111e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3260970238929382 Order of pole (three term test) 22.13372530643569 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) -0.06224203715150807 y[1] (numeric) -0.06224203715150819 absolute error 1.1796119636642288e-16 relative error 1.895201406716245e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31867231150828784 Order of pole (three term test) 22.126689224249162 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) -0.057628511129012835 y[1] (numeric) -0.05762851112901295 absolute error 1.1796119636642288e-16 relative error 2.0469242403702464e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3111089686506354 Order of pole (three term test) 22.119816271176056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) -0.05297357460316107 y[1] (numeric) -0.052973574603161225 absolute error 1.5265566588595902e-16 relative error 2.8817323926040975e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30341030797482765 Order of pole (three term test) 22.113109459344944 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) -0.04827751341369581 y[1] (numeric) -0.04827751341369595 absolute error 1.3877787807814457e-16 relative error 2.874586288008255e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2955797017929788 Order of pole (three term test) 22.106571728291033 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) -0.043540621095497195 y[1] (numeric) -0.04354062109549733 absolute error 1.3183898417423734e-16 relative error 3.0279536868589046e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.28762058059834344 Order of pole (three term test) 22.100205943652796 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) -0.03876319886683603 y[1] (numeric) -0.038763198866836185 absolute error 1.5265566588595902e-16 relative error 3.938159655253943e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.279536431562927 Order of pole (three term test) 22.094014895900912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) -0.03394555561649876 y[1] (numeric) -0.03394555561649891 absolute error 1.5265566588595902e-16 relative error 4.4970737144677314e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27133079700949414 Order of pole (three term test) 22.08800129910007 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) -0.029088007889783524 y[1] (numeric) -0.02908800788978369 absolute error 1.6653345369377348e-16 relative error 5.725158433839136e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26300727285864123 Order of pole (three term test) 22.082167789704293 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1700000000000008 y[1] (analytic) -0.024190879873367377 y[1] (numeric) -0.02419087987336756 absolute error 1.8388068845354155e-16 relative error 7.601240195317679e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25456950705162296 Order of pole (three term test) 22.076516925386347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) -0.019254503379044136 y[1] (numeric) -0.019254503379044312 absolute error 1.7694179454963432e-16 relative error 9.189631696354786e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24602119794962496 Order of pole (three term test) 22.071051183901627 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1900000000000008 y[1] (analytic) -0.014279217826332971 y[1] (numeric) -0.01427921782633313 absolute error 1.5959455978986625e-16 relative error 1.1176701814545506e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23736609271019138 Order of pole (three term test) 22.06577296198733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) -0.009265370223958028 y[1] (numeric) -0.009265370223958208 absolute error 1.8041124150158794e-16 relative error 1.94715631583817e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22860798564152593 Order of pole (three term test) 22.060684574297124 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) -0.0042133151501994315 y[1] (numeric) -0.0042133151501996 absolute error 1.682681771697503e-16 relative error 3.99372397200778e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2197507165353974 Order of pole (three term test) 22.05578825237204 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 0.0008765852678843805 y[1] (numeric) 0.0008765852678841975 absolute error 1.8301332671555315e-16 relative error 2.0877983399977943e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.006003961376361555 y[1] (numeric) 0.006003961376361346 absolute error 2.0903417885520525e-16 relative error 3.481604323408914e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 0.011168436017458885 y[1] (numeric) 0.011168436017458686 absolute error 1.9949319973733282e-16 relative error 1.7862232404383044e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.016369624553719958 y[1] (numeric) 0.016369624553719746 absolute error 2.1163626406917047e-16 relative error 1.2928596094226036e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.021607134893287958 y[1] (numeric) 0.021607134893287718 absolute error 2.393918396847994e-16 relative error 1.1079295837559845e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.026880567516312362 y[1] (numeric) 0.026880567516312147 absolute error 2.1510571102112408e-16 relative error 8.002275654730431e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 0.03218951550247823 y[1] (numeric) 0.032189515502478006 absolute error 2.220446049250313e-16 relative error 6.898041224259383e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.03753356455965587 y[1] (numeric) 0.03753356455965565 absolute error 2.220446049250313e-16 relative error 5.915894414241245e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 0.04291229305367014 y[1] (numeric) 0.04291229305366993 absolute error 2.1510571102112408e-16 relative error 5.012682746925053e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.048325272039186976 y[1] (numeric) 0.04832527203918674 absolute error 2.3592239273284576e-16 relative error 4.881967193925701e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.0537720652917152 y[1] (numeric) 0.05377206529171499 absolute error 2.0816681711721685e-16 relative error 3.871281788934554e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 0.05925222934072212 y[1] (numeric) 0.05925222934072187 absolute error 2.498001805406602e-16 relative error 4.215878175725968e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.06476531350385946 y[1] (numeric) 0.0647653135038592 absolute error 2.636779683484747e-16 relative error 4.071283748711596e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.07031085992229869 y[1] (numeric) 0.07031085992229841 absolute error 2.7755575615628914e-16 relative error 3.947551721924879e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.07588840359717192 y[1] (numeric) 0.07588840359717167 absolute error 2.498001805406602e-16 relative error 3.2916778941172687e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.08149747242711652 y[1] (numeric) 0.08149747242711627 absolute error 2.498001805406602e-16 relative error 3.0651279493858833e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 0.08713758724691995 y[1] (numeric) 0.08713758724691967 absolute error 2.7755575615628914e-16 relative error 3.1852586802729026e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.0928082618672622 y[1] (numeric) 0.09280826186726193 absolute error 2.636779683484747e-16 relative error 2.8411044775905473e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.09850900311555288 y[1] (numeric) 0.09850900311555262 absolute error 2.636779683484747e-16 relative error 2.676689033581789e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 0.10423931087785893 y[1] (numeric) 0.10423931087785865 absolute error 2.7755575615628914e-16 relative error 2.6626783486847064e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.10999867814192005 y[1] (numeric) 0.1099986781419198 absolute error 2.498001805406602e-16 relative error 2.2709380218039402e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.11578659104124849 y[1] (numeric) 0.11578659104124821 absolute error 2.7755575615628914e-16 relative error 2.3971321174609165e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.12160252890030837 y[1] (numeric) 0.12160252890030808 absolute error 2.914335439641036e-16 relative error 2.3966075919607337e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.12744596428077207 y[1] (numeric) 0.12744596428077176 absolute error 3.0531133177191805e-16 relative error 2.3956139646705217e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.13331636302884847 y[1] (numeric) 0.13331636302884814 absolute error 3.3306690738754696e-16 relative error 2.498319784762462e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.1392131843236794 y[1] (numeric) 0.1392131843236791 absolute error 3.0531133177191805e-16 relative error 2.1931208114746516e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.14513588072680011 y[1] (numeric) 0.1451358807267998 absolute error 3.0531133177191805e-16 relative error 2.1036240676185918e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.1510838982326586 y[1] (numeric) 0.15108389823265828 absolute error 3.3306690738754696e-16 relative error 2.2045162408680193e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.15705667632018983 y[1] (numeric) 0.15705667632018952 absolute error 3.0531133177191805e-16 relative error 1.9439564043077226e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.16305364800543998 y[1] (numeric) 0.1630536480054397 absolute error 2.7755575615628914e-16 relative error 1.7022357950987334e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.16907423989523546 y[1] (numeric) 0.16907423989523515 absolute error 3.0531133177191805e-16 relative error 1.8057826666031446e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.1751178722418917 y[1] (numeric) 0.1751178722418914 absolute error 3.0531133177191805e-16 relative error 1.743461862934179e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.1811839589989571 y[1] (numeric) 0.18118395899895678 absolute error 3.0531133177191805e-16 relative error 1.6850902997084607e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.18727190787798567 y[1] (numeric) 0.1872719078779854 absolute error 2.7755575615628914e-16 relative error 1.4821003283478407e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.19338112040633432 y[1] (numeric) 0.19338112040633398 absolute error 3.3306690738754696e-16 relative error 1.722334148688887e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.1995109919859774 y[1] (numeric) 0.19951099198597708 absolute error 3.3306690738754696e-16 relative error 1.66941632675034e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO 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) 0.20566091195333464 y[1] (numeric) 0.20566091195333433 absolute error 3.0531133177191805e-16 relative error 1.4845374790577343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.13976694972625056 Order of pole (three term test) 22.021876346795086 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 0.2118302636401049 y[1] (numeric) 0.21183026364010463 absolute error 2.7755575615628914e-16 relative error 1.3102743271275462e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1492799453757467 Order of pole (three term test) 22.025039844199185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 0.2180184244351008 y[1] (numeric) 0.2180184244351005 absolute error 3.0531133177191805e-16 relative error 1.4003923409821833e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.15872627605484735 Order of pole (three term test) 22.028411041216234 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 0.22422476584707715 y[1] (numeric) 0.22422476584707685 absolute error 3.0531133177191805e-16 relative error 1.361630730746944e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.16810179620106444 Order of pole (three term test) 22.031988458282044 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 0.23044865356854793 y[1] (numeric) 0.2304486535685476 absolute error 3.3306690738754696e-16 relative error 1.4452976931300438e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.1774023914905203 Order of pole (three term test) 22.035770525369294 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 0.23668944754058405 y[1] (numeric) 0.23668944754058374 absolute error 3.0531133177191805e-16 relative error 1.2899237162635556e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.18662398065497854 Order of pole (three term test) 22.039755582685427 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 0.24294650201858647 y[1] (numeric) 0.24294650201858614 absolute error 3.3306690738754696e-16 relative error 1.3709475321528435e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19576251728396435 Order of pole (three term test) 22.04394188141056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 0.24921916563902693 y[1] (numeric) 0.2492191656390266 absolute error 3.3306690738754696e-16 relative error 1.3364417882289455e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2048139916111562 Order of pole (three term test) 22.04832758447505 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 0.2555067814871503 y[1] (numeric) 0.2555067814871499 absolute error 3.885780586188048e-16 relative error 1.5208130929329044e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21377443228423695 Order of pole (three term test) 22.052910767376236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 0.2618086871656305 y[1] (numeric) 0.26180868716563005 absolute error 4.440892098500626e-16 relative error 1.6962355781919272e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2226399081174014 Order of pole (three term test) 22.057689419034105 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 0.2681242148641741 y[1] (numeric) 0.26812421486417365 absolute error 4.440892098500626e-16 relative error 1.6562816233327847e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.23140652982572843 Order of pole (three term test) 22.062661442685457 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 0.2744526914300632 y[1] (numeric) 0.27445269143006273 absolute error 4.440892098500626e-16 relative error 1.618090198117903e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24007045174062921 Order of pole (three term test) 22.067824656816104 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 0.28079343843963034 y[1] (numeric) 0.28079343843962995 absolute error 3.885780586188048e-16 relative error 1.3838573322016846e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24862787350559637 Order of pole (three term test) 22.073176796130728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 0.28714577227065885 y[1] (numeric) 0.28714577227065846 absolute error 3.885780586188048e-16 relative error 1.3532431821860067e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2570750417514893 Order of pole (three term test) 22.078715512559896 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 0.29350900417569936 y[1] (numeric) 0.2935090041756989 absolute error 4.440892098500626e-16 relative error 1.5130343653246953e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2654082517505951 Order of pole (three term test) 22.08443837630386 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 0.2998824403562959 y[1] (numeric) 0.29988244035629547 absolute error 4.440892098500626e-16 relative error 1.4808776710047842e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27362384904872356 Order of pole (three term test) 22.090342876912473 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 0.3062653820381135 y[1] (numeric) 0.30626538203811304 absolute error 4.440892098500626e-16 relative error 1.4500143858726988e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2817182310745959 Order of pole (three term test) 22.096426424400985 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 0.3126571255469581 y[1] (numeric) 0.3126571255469577 absolute error 4.440892098500626e-16 relative error 1.4203713063413443e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2896878487258077 Order of pole (three term test) 22.10268635040092 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 0.31905696238568243 y[1] (numeric) 0.319056962385682 absolute error 4.440892098500626e-16 relative error 1.3918806426585317e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2975292079306474 Order of pole (three term test) 22.109119909345708 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 0.32546417931196725 y[1] (numeric) 0.32546417931196686 absolute error 3.885780586188048e-16 relative error 1.1939195872192773e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3052388711850757 Order of pole (three term test) 22.115724279690454 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 0.331878058416972 y[1] (numeric) 0.3318780584169716 absolute error 3.885780586188048e-16 relative error 1.170845883793242e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3128134590641706 Order of pole (three term test) 22.122496565165207 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 0.3382978772048436 y[1] (numeric) 0.3382978772048433 absolute error 3.3306690738754696e-16 relative error 9.845373850391345e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32024965170736547 Order of pole (three term test) 22.129433796061274 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 0.3447229086730774 y[1] (numeric) 0.34472290867307703 absolute error 3.885780586188048e-16 relative error 1.1272185539236035e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3275441902768153 Order of pole (three term test) 22.136532930549908 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 0.3511524213937186 y[1] (numeric) 0.3511524213937182 absolute error 3.885780586188048e-16 relative error 1.1065794650555004e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3346938783882393 Order of pole (three term test) 22.143790856032748 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 0.3575856795953979 y[1] (numeric) 0.35758567959539755 absolute error 3.3306690738754696e-16 relative error 9.314324549137608e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34169558351360385 Order of pole (three term test) 22.151204390523436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 0.3640219432461905 y[1] (numeric) 0.36402194324619014 absolute error 3.885780586188048e-16 relative error 1.0674577888179855e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34854623835502196 Order of pole (three term test) 22.158770284059727 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 0.3704604681372894 y[1] (numeric) 0.370460468137289 absolute error 3.885780586188048e-16 relative error 1.0489055973302965e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3552428421892584 Order of pole (three term test) 22.166485220145496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 0.37690050596748453 y[1] (numeric) 0.37690050596748415 absolute error 3.885780586188048e-16 relative error 1.0309831174711336e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3617824621822462 Order of pole (three term test) 22.174345817221838 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 0.3833413044284377 y[1] (numeric) 0.38334130442843733 absolute error 3.885780586188048e-16 relative error 1.0136608138227501e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36816223467303627 Order of pole (three term test) 22.182348630166853 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 0.3897821072907436 y[1] (numeric) 0.3897821072907432 absolute error 3.885780586188048e-16 relative error 9.96910969874149e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3743793664266066 Order of pole (three term test) 22.190490151823067 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 0.39622215449076736 y[1] (numeric) 0.3962221544907669 absolute error 4.440892098500626e-16 relative error 1.1208086292418831e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38043113585498906 Order of pole (three term test) 22.198766814552073 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 0.4026606822182493 y[1] (numeric) 0.40266068221824886 absolute error 4.440892098500626e-16 relative error 1.1028869454141498e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3863148942061724 Order of pole (three term test) 22.207174991815556 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 0.40909692300466616 y[1] (numeric) 0.40909692300466577 absolute error 3.885780586188048e-16 relative error 9.498435132800368e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3920280667202631 Order of pole (three term test) 22.21571099978196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 0.4155301058123395 y[1] (numeric) 0.4155301058123391 absolute error 3.885780586188048e-16 relative error 9.351381601079304e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3975681537524007 Order of pole (three term test) 22.224371098958137 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 0.4219594561242803 y[1] (numeric) 0.42195945612427993 absolute error 3.885780586188048e-16 relative error 9.208895617316285e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40293273186193757 Order of pole (three term test) 22.233151495845103 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 0.42838419603476063 y[1] (numeric) 0.42838419603476025 absolute error 3.885780586188048e-16 relative error 9.07078417494361e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4081194548674126 Order of pole (three term test) 22.24204834461728 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 0.4348035443406009 y[1] (numeric) 0.4348035443406005 absolute error 4.440892098500626e-16 relative error 1.0213560023378922e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4131260548668629 Order of pole (three term test) 22.251057748824376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 0.4412167166331628 y[1] (numeric) 0.44121671663316236 absolute error 4.440892098500626e-16 relative error 1.0065103907186909e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41795034322303287 Order of pole (three term test) 22.260175763115058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 0.4476229253910376 y[1] (numeric) 0.4476229253910371 absolute error 4.996003610813204e-16 relative error 1.1161187971882272e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42259021151306225 Order of pole (three term test) 22.269398394981877 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 0.45402138007341797 y[1] (numeric) 0.4540213800734175 absolute error 4.440892098500626e-16 relative error 9.78124003275464e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42704363244224164 Order of pole (three term test) 22.278721606526236 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 0.4604112872141445 y[1] (numeric) 0.46041128721414404 absolute error 4.440892098500626e-16 relative error 9.645489200257373e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43130866072145596 Order of pole (three term test) 22.28814131624306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 0.46679185051641336 y[1] (numeric) 0.4667918505164129 absolute error 4.440892098500626e-16 relative error 9.513645308048229e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4353834339079359 Order of pole (three term test) 22.297653400823965 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 0.4731622709481369 y[1] (numeric) 0.47316227094813657 absolute error 3.3306690738754696e-16 relative error 7.039168755364569e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43926617320897027 Order of pole (three term test) 22.307253696978346 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 0.4795217468379439 y[1] (numeric) 0.47952174683794374 absolute error 1.6653345369377348e-16 relative error 3.4729072204113e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4429551842482412 Order of pole (three term test) 22.31693800327145 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 0.4858694739718096 y[1] (numeric) 0.4858694739718095 absolute error 5.551115123125783e-17 relative error 1.1425116045565484e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44644885779446264 Order of pole (three term test) 22.326702081978592 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 0.4922046456903031 y[1] (numeric) 0.49220464569030314 absolute error 5.551115123125783e-17 relative error 1.127806324408113e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.44974567045202524 Order of pole (three term test) 22.336541660954776 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 0.4985264529864418 y[1] (numeric) 0.4985264529864421 absolute error 2.7755575615628914e-16 relative error 5.56752313730958e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45284418531335996 Order of pole (three term test) 22.3464524355187 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 0.5048340846041415 y[1] (numeric) 0.5048340846041418 absolute error 3.3306690738754696e-16 relative error 6.597551899624937e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45574305257276165 Order of pole (three term test) 22.356430070350427 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 0.5111267271372476 y[1] (numeric) 0.5111267271372482 absolute error 5.551115123125783e-16 relative error 1.0860545591534287e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4584410101014204 Order of pole (three term test) 22.366470201401864 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 0.5174035651291415 y[1] (numeric) 0.5174035651291423 absolute error 7.771561172376096e-16 relative error 1.5020308509927546e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46093688398343746 Order of pole (three term test) 22.37656843781907 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 0.5236637811729044 y[1] (numeric) 0.5236637811729052 absolute error 8.881784197001252e-16 relative error 1.6960852585809533e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4632295890126096 Order of pole (three term test) 22.386720363875636 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 0.5299065560120294 y[1] (numeric) 0.5299065560120304 absolute error 9.992007221626409e-16 relative error 1.8856168334327194e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4653181291497975 Order of pole (three term test) 22.39692154091624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 0.5361310686416717 y[1] (numeric) 0.5361310686416727 absolute error 9.992007221626409e-16 relative error 1.8637247132388557e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.467201597940696 Order of pole (three term test) 22.407167509309435 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 0.54233649641042 y[1] (numeric) 0.5423364964104211 absolute error 1.1102230246251565e-15 relative error 2.0471110315706675e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46887917889385794 Order of pole (three term test) 22.417453790408928 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 0.5485220151225825 y[1] (numeric) 0.5485220151225838 absolute error 1.3322676295501878e-15 relative error 2.428831647262974e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47035014581883094 Order of pole (three term test) 22.42777588852231 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 0.554686799140971 y[1] (numeric) 0.5546867991409724 absolute error 1.4432899320127035e-15 relative error 2.601990770733843e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47161386312428805 Order of pole (three term test) 22.43812929288647 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 0.5608300214901725 y[1] (numeric) 0.5608300214901739 absolute error 1.4432899320127035e-15 relative error 2.5734890728170383e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47266978607605414 Order of pole (three term test) 22.448509479648724 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 0.5669508539602963 y[1] (numeric) 0.5669508539602979 absolute error 1.5543122344752192e-15 relative error 2.7415290472145016e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47351746101494574 Order of pole (three term test) 22.458911913852955 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 0.5730484672111837 y[1] (numeric) 0.5730484672111855 absolute error 1.7763568394002505e-15 relative error 3.0998369964152007e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47415652553435733 Order of pole (three term test) 22.46933205142952 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 0.5791220308770673 y[1] (numeric) 0.5791220308770691 absolute error 1.887379141862766e-15 relative error 3.2590353003914786e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4745867086175546 Order of pole (three term test) 22.479765341188475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 0.5851707136716667 y[1] (numeric) 0.5851707136716687 absolute error 1.9984014443252818e-15 relative error 3.415074264031888e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47480783073464183 Order of pole (three term test) 22.490207226814864 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 0.5911936834937114 y[1] (numeric) 0.5911936834937135 absolute error 2.1094237467877974e-15 relative error 3.56807558281403e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.474819803899199 Order of pole (three term test) 22.500653148865428 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 0.597190107532872 y[1] (numeric) 0.5971901075328744 absolute error 2.3314683517128287e-15 relative error 3.9040639191842173e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4746226316845953 Order of pole (three term test) 22.51109854676571 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 0.6031591523760943 y[1] (numeric) 0.6031591523760966 absolute error 2.3314683517128287e-15 relative error 3.865428125442857e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4742164092000083 Order of pole (three term test) 22.521538860806704 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 0.6090999841143149 y[1] (numeric) 0.6090999841143174 absolute error 2.55351295663786e-15 relative error 4.192272243038872e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47360132302619323 Order of pole (three term test) 22.531969534140266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 0.6150117684495542 y[1] (numeric) 0.6150117684495569 absolute error 2.6645352591003757e-15 relative error 4.332494751795846e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4727776511110663 Order of pole (three term test) 22.542386014772205 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 0.6208936708023662 y[1] (numeric) 0.6208936708023689 absolute error 2.6645352591003757e-15 relative error 4.2914517966611895e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.471745762625185 Order of pole (three term test) 22.552783757552373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 0.6267448564196363 y[1] (numeric) 0.6267448564196391 absolute error 2.7755575615628914e-15 relative error 4.4285286638308207e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.470506117777221 Order of pole (three term test) 22.563158226160756 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 0.6325644904827127 y[1] (numeric) 0.6325644904827156 absolute error 2.886579864025407e-15 relative error 4.563297351425221e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4690592675895485 Order of pole (three term test) 22.573504895088764 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 0.6383517382158577 y[1] (numeric) 0.6383517382158608 absolute error 3.1086244689504383e-15 relative error 4.869767375645904e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4674058536340755 Order of pole (three term test) 22.583819251614788 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 0.6441057649950063 y[1] (numeric) 0.6441057649950095 absolute error 3.219646771412954e-15 relative error 4.998630576513961e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46554660772847706 Order of pole (three term test) 22.594096797773222 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 0.6498257364568177 y[1] (numeric) 0.649825736456821 absolute error 3.219646771412954e-15 relative error 4.954631050730793e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4634823515929947 Order of pole (three term test) 22.604333052316054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 0.6555108186080076 y[1] (numeric) 0.655510818608011 absolute error 3.3306690738754696e-15 relative error 5.081028381725602e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4612139964679922 Order of pole (three term test) 22.614523552666164 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 0.6611601779349467 y[1] (numeric) 0.6611601779349501 absolute error 3.3306690738754696e-15 relative error 5.037612949222696e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.458742542692469 Order of pole (three term test) 22.624663856861513 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 0.6667729815135118 y[1] (numeric) 0.6667729815135154 absolute error 3.552713678800501e-15 relative error 5.328220814730938e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45606907924375306 Order of pole (three term test) 22.634749545489363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 0.6723483971191773 y[1] (numeric) 0.672348397119181 absolute error 3.774758283725532e-15 relative error 5.614289109484464e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4531947832386113 Order of pole (three term test) 22.64477622360963 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 0.6778855933373308 y[1] (numeric) 0.6778855933373347 absolute error 3.885780586188048e-15 relative error 5.732207063226962e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4501209193960307 Order of pole (three term test) 22.65473952266669 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 0.6833837396738021 y[1] (numeric) 0.683383739673806 absolute error 3.885780586188048e-15 relative error 5.686088738433898e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4468488394619401 Order of pole (three term test) 22.66463510238862 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 0.6888420066655889 y[1] (numeric) 0.6888420066655929 absolute error 3.9968028886505635e-15 relative error 5.802205512984758e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4433799815961608 Order of pole (three term test) 22.674458652673188 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 0.6942595659917683 y[1] (numeric) 0.6942595659917724 absolute error 4.107825191113079e-15 relative error 5.916843486693541e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43971586972188925 Order of pole (three term test) 22.684205895459804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 0.6996355905845769 y[1] (numeric) 0.6996355905845812 absolute error 4.3298697960381105e-15 relative error 6.188750049751343e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43585811283802683 Order of pole (three term test) 22.6938725865864 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 0.7049692547406496 y[1] (numeric) 0.704969254740654 absolute error 4.3298697960381105e-15 relative error 6.14192713642671e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43180840429469686 Order of pole (three term test) 22.70345451763081 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 0.7102597342323979 y[1] (numeric) 0.7102597342324024 absolute error 4.551914400963142e-15 relative error 6.408802557113212e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42756852103229537 Order of pole (three term test) 22.712947517735508 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 0.7155062064195197 y[1] (numeric) 0.7155062064195242 absolute error 4.551914400963142e-15 relative error 6.361809806991719e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4231403227844397 Order of pole (three term test) 22.722347455415175 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 0.7207078503606211 y[1] (numeric) 0.7207078503606258 absolute error 4.6629367034256575e-15 relative error 6.469940213766868e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4185257512451986 Order of pole (three term test) 22.73165024034613 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 0.7258638469249403 y[1] (numeric) 0.7258638469249451 absolute error 4.773959005888173e-15 relative error 6.576934539600834e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4137268292009984 Order of pole (three term test) 22.740851825137085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 0.730973378904156 y[1] (numeric) 0.730973378904161 absolute error 4.9960036108132044e-15 relative error 6.834727166539224e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4087456596276116 Order of pole (three term test) 22.749948207080227 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 0.7360356311242695 y[1] (numeric) 0.7360356311242745 absolute error 4.9960036108132044e-15 relative error 6.787719778160709e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4035844247526588 Order of pole (three term test) 22.758935429882087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 0.7410497905575423 y[1] (numeric) 0.7410497905575475 absolute error 5.218048215738236e-15 relative error 7.041427286299267e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3982453850840528 Order of pole (three term test) 22.76780958537335 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 0.7460150464344806 y[1] (numeric) 0.7460150464344857 absolute error 5.10702591327572e-15 relative error 6.845741165254432e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.392730878404851 Order of pole (three term test) 22.776566815196922 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 0.7509305903558449 y[1] (numeric) 0.7509305903558501 absolute error 5.218048215738236e-15 relative error 6.948775669487042e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38704331873496506 Order of pole (three term test) 22.785203312473566 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 0.7557956164046784 y[1] (numeric) 0.7557956164046837 absolute error 5.329070518200751e-15 relative error 7.050941289592486e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3811851952602253 Order of pole (three term test) 22.793715323444278 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 0.7606093212583338 y[1] (numeric) 0.7606093212583394 absolute error 5.551115123125783e-15 relative error 7.298247560182606e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37515907122927866 Order of pole (three term test) 22.802099149088992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 0.7653709043004873 y[1] (numeric) 0.7653709043004928 absolute error 5.551115123125783e-15 relative error 7.252843153476339e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3689675828188323 Order of pole (three term test) 22.810351146720624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 0.7700795677331234 y[1] (numeric) 0.7700795677331291 absolute error 5.773159728050814e-15 relative error 7.496835353059963e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3626134379677632 Order of pole (three term test) 22.81846773155393 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 0.7747345166884796 y[1] (numeric) 0.7747345166884854 absolute error 5.773159728050814e-15 relative error 7.451791037693238e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35609941518061716 Order of pole (three term test) 22.826445378248597 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 0.7793349593409316 y[1] (numeric) 0.7793349593409374 absolute error 5.88418203051333e-15 relative error 7.550260590759932e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3494283623010503 Order of pole (three term test) 22.834280622425794 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 0.7838801070188087 y[1] (numeric) 0.7838801070188147 absolute error 5.995204332975845e-15 relative error 7.64811388794689e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34260319525575916 Order of pole (three term test) 22.841970062157625 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 0.7883691743161236 y[1] (numeric) 0.7883691743161297 absolute error 6.106226635438361e-15 relative error 7.745389893935478e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.33562689676947005 Order of pole (three term test) 22.84951035942882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 0.792801379204201 y[1] (numeric) 0.7928013792042072 absolute error 6.217248937900877e-15 relative error 7.842126793651183e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32850251505156797 Order of pole (three term test) 22.856898241570168 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 0.7971759431431923 y[1] (numeric) 0.7971759431431986 absolute error 6.328271240363392e-15 relative error 7.938362032616782e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8014920911934611 y[1] (numeric) 0.8014920911934675 absolute error 6.439293542825908e-15 relative error 8.034132355863279e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8057490521268247 y[1] (numeric) 0.8057490521268312 absolute error 6.5503158452884236e-15 relative error 8.129473845483849e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 0.8099460585376381 y[1] (numeric) 0.8099460585376446 absolute error 6.439293542825908e-15 relative error 7.950274558347857e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8140823469537041 y[1] (numeric) 0.8140823469537106 absolute error 6.5503158452884236e-15 relative error 8.046257076817479e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8181571579469982 y[1] (numeric) 0.8181571579470047 absolute error 6.5503158452884236e-15 relative error 8.00618289733617e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8221697362441898 y[1] (numeric) 0.8221697362441964 absolute error 6.661338147750939e-15 relative error 8.102144671708615e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8261193308369489 y[1] (numeric) 0.8261193308369557 absolute error 6.772360450213455e-15 relative error 8.197799273565377e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.830005195092021 y[1] (numeric) 0.8300051950920279 absolute error 6.8833827526759706e-15 relative error 8.293180323904869e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 0.8338265868610573 y[1] (numeric) 0.8338265868610641 absolute error 6.8833827526759706e-15 relative error 8.255173031347545e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8375827685901847 y[1] (numeric) 0.8375827685901918 absolute error 7.105427357601002e-15 relative error 8.483253982840195e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8412730074293032 y[1] (numeric) 0.8412730074293103 absolute error 7.105427357601002e-15 relative error 8.446042241760752e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8448965753410925 y[1] (numeric) 0.8448965753410996 absolute error 7.105427357601002e-15 relative error 8.409819100914778e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8484527492097167 y[1] (numeric) 0.8484527492097238 absolute error 7.105427357601002e-15 relative error 8.374570492251083e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8519408109492111 y[1] (numeric) 0.8519408109492185 absolute error 7.327471962526033e-15 relative error 8.600916716692968e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8553600476115379 y[1] (numeric) 0.8553600476115453 absolute error 7.327471962526033e-15 relative error 8.566535207000698e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8587097514942934 y[1] (numeric) 0.8587097514943006 absolute error 7.216449660063518e-15 relative error 8.403828706388545e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8619892202480555 y[1] (numeric) 0.861989220248063 absolute error 7.549516567451064e-15 relative error 8.75824939583181e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8651977569833579 y[1] (numeric) 0.8651977569833653 absolute error 7.438494264988549e-15 relative error 8.597449779486228e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 0.8683346703772696 y[1] (numeric) 0.8683346703772772 absolute error 7.549516567451064e-15 relative error 8.694247534963667e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8713992747795765 y[1] (numeric) 0.871399274779584 absolute error 7.549516567451064e-15 relative error 8.663670932433058e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 0.8743908903185391 y[1] (numeric) 0.8743908903185468 absolute error 7.66053886991358e-15 relative error 8.761000320031764e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8773088430062225 y[1] (numeric) 0.8773088430062302 absolute error 7.771561172376096e-15 relative error 8.858409708656014e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8801524648433754 y[1] (numeric) 0.8801524648433833 absolute error 7.882583474838611e-15 relative error 8.955929557319743e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8829210939238509 y[1] (numeric) 0.8829210939238588 absolute error 7.882583474838611e-15 relative error 8.927845907279296e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8856140745385501 y[1] (numeric) 0.8856140745385581 absolute error 7.993605777301127e-15 relative error 9.026060004145938e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8882307572788779 y[1] (numeric) 0.8882307572788859 absolute error 7.993605777301127e-15 relative error 8.99946968937417e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8907704991396932 y[1] (numeric) 0.8907704991397013 absolute error 8.104628079763643e-15 relative error 9.09844689242751e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 0.8932326636217436 y[1] (numeric) 0.8932326636217517 absolute error 8.104628079763643e-15 relative error 9.073367342952096e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 0.8956166208335662 y[1] (numeric) 0.8956166208335743 absolute error 8.104628079763643e-15 relative error 9.049215804213774e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.8979217475928443 y[1] (numeric) 0.8979217475928523 absolute error 7.993605777301127e-15 relative error 8.902341210389935e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9001474275272029 y[1] (numeric) 0.900147427527211 absolute error 8.104628079763643e-15 relative error 9.003667434819967e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9022930511744324 y[1] (numeric) 0.9022930511744406 absolute error 8.215650382226158e-15 relative error 9.10530162183184e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9043580160821226 y[1] (numeric) 0.904358016082131 absolute error 8.326672684688674e-15 relative error 9.207274703840905e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9063417269066969 y[1] (numeric) 0.9063417269067052 absolute error 8.326672684688674e-15 relative error 9.187122734718647e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.90824359551183 y[1] (numeric) 0.9082435955118384 absolute error 8.43769498715119e-15 relative error 9.290123298250429e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9100630410662384 y[1] (numeric) 0.9100630410662468 absolute error 8.43769498715119e-15 relative error 9.271549998630323e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9117994901408264 y[1] (numeric) 0.9117994901408347 absolute error 8.326672684688674e-15 relative error 9.13213132352446e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9134523768051773 y[1] (numeric) 0.9134523768051857 absolute error 8.326672684688674e-15 relative error 9.11560678599515e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9150211427233743 y[1] (numeric) 0.9150211427233826 absolute error 8.326672684688674e-15 relative error 9.099978455039875e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.916505237249138 y[1] (numeric) 0.9165052372491465 absolute error 8.43769498715119e-15 relative error 9.206379455590095e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9179041175202677 y[1] (numeric) 0.9179041175202762 absolute error 8.548717289613705e-15 relative error 9.313300949894634e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9192172485523717 y[1] (numeric) 0.9192172485523803 absolute error 8.548717289613705e-15 relative error 9.299996603715436e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9204441033318753 y[1] (numeric) 0.9204441033318839 absolute error 8.548717289613705e-15 relative error 9.287600690436907e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9215841629082908 y[1] (numeric) 0.9215841629082994 absolute error 8.548717289613705e-15 relative error 9.276111324044541e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9226369164857393 y[1] (numeric) 0.9226369164857477 absolute error 8.43769498715119e-15 relative error 9.145195511241616e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 0.9236018615137077 y[1] (numeric) 0.9236018615137161 absolute error 8.43769498715119e-15 relative error 9.1356409495781e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9244785037770313 y[1] (numeric) 0.9244785037770399 absolute error 8.548717289613705e-15 relative error 9.247069839576835e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9252663574850868 y[1] (numeric) 0.9252663574850952 absolute error 8.43769498715119e-15 relative error 9.119206506205632e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9259649453601821 y[1] (numeric) 0.9259649453601907 absolute error 8.548717289613705e-15 relative error 9.232225617664633e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9265737987251348 y[1] (numeric) 0.9265737987251432 absolute error 8.43769498715119e-15 relative error 9.106338856937832e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9270924575900186 y[1] (numeric) 0.9270924575900271 absolute error 8.548717289613705e-15 relative error 9.220997560303897e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9275204707380744 y[1] (numeric) 0.9275204707380827 absolute error 8.326672684688674e-15 relative error 8.977346535610933e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9278573958107643 y[1] (numeric) 0.9278573958107728 absolute error 8.43769498715119e-15 relative error 9.093741155965361e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9281027993919646 y[1] (numeric) 0.9281027993919729 absolute error 8.326672684688674e-15 relative error 8.971713790911733e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 0.9282562570912771 y[1] (numeric) 0.9282562570912855 absolute error 8.326672684688674e-15 relative error 8.97023060289471e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 0.9283173536264541 y[1] (numeric) 0.9283173536264624 absolute error 8.326672684688674e-15 relative error 8.969640233655749e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9282856829049185 y[1] (numeric) 0.9282856829049269 absolute error 8.326672684688674e-15 relative error 8.969946254725928e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.9281608481043713 y[1] (numeric) 0.9281608481043797 absolute error 8.43769498715119e-15 relative error 9.090768054248259e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.21861066535444276 Order of pole (three term test) 22.949289113247012 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1699999999999764 y[1] (analytic) 0.9279424617524721 y[1] (numeric) 0.9279424617524804 absolute error 8.326672684688674e-15 relative error 8.973263998463094e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.22750907080582766 Order of pole (three term test) 22.944613435827087 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.179999999999976 y[1] (analytic) 0.9276301458055806 y[1] (numeric) 0.9276301458055889 absolute error 8.326672684688674e-15 relative error 8.976285130813157e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2363104099979995 Order of pole (three term test) 22.939744511790046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.189999999999976 y[1] (analytic) 0.9272235317265494 y[1] (numeric) 0.9272235317265577 absolute error 8.326672684688674e-15 relative error 8.980221488969201e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24501085766036307 Order of pole (three term test) 22.93468445955363 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1999999999999758 y[1] (analytic) 0.9267222605615533 y[1] (numeric) 0.9267222605615616 absolute error 8.326672684688674e-15 relative error 8.985078959518113e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.25360663235451536 Order of pole (three term test) 22.929435480288916 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2099999999999755 y[1] (analytic) 0.9261259830159458 y[1] (numeric) 0.9261259830159541 absolute error 8.215650382226158e-15 relative error 8.870985732925607e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2620939981062458 Order of pole (three term test) 22.923999856968948 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2199999999999753 y[1] (analytic) 0.9254343595291301 y[1] (numeric) 0.9254343595291383 absolute error 8.215650382226158e-15 relative error 8.877615465246352e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.27046926601809956 Order of pole (three term test) 22.91837995338248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.229999999999975 y[1] (analytic) 0.9246470603484331 y[1] (numeric) 0.9246470603484414 absolute error 8.215650382226158e-15 relative error 8.885174391978566e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2787287958618231 Order of pole (three term test) 22.912578213113242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.239999999999975 y[1] (analytic) 0.9237637656019719 y[1] (numeric) 0.92376376560198 absolute error 8.104628079763643e-15 relative error 8.773485583169903e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2868689976500256 Order of pole (three term test) 22.90659715848512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2499999999999747 y[1] (analytic) 0.9227841653704999 y[1] (numeric) 0.922784165370508 absolute error 8.104628079763643e-15 relative error 8.782799254590174e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2948863331863967 Order of pole (three term test) 22.900439389473696 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2599999999999745 y[1] (analytic) 0.9217079597582236 y[1] (numeric) 0.9217079597582317 absolute error 8.104628079763643e-15 relative error 8.793054235844503e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3027773175938265 Order of pole (three term test) 22.894107582584663 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2699999999999743 y[1] (analytic) 0.9205348589625767 y[1] (numeric) 0.9205348589625849 absolute error 8.215650382226158e-15 relative error 8.924866127812935e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3105385208197865 Order of pole (three term test) 22.887604489699548 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.279999999999974 y[1] (analytic) 0.9192645833429425 y[1] (numeric) 0.9192645833429504 absolute error 7.882583474838611e-15 relative error 8.574879983054803e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31816656911833785 Order of pole (three term test) 22.880932936889096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.289999999999974 y[1] (analytic) 0.9178968634883107 y[1] (numeric) 0.9178968634883188 absolute error 8.104628079763643e-15 relative error 8.829562886796872e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32565814650813846 Order of pole (three term test) 22.874095823195066 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.2999999999999736 y[1] (analytic) 0.9164314402838647 y[1] (numeric) 0.9164314402838727 absolute error 7.993605777301127e-15 relative error 8.722535506666061e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3330099962058383 Order of pole (three term test) 22.867096119380697 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3099999999999734 y[1] (analytic) 0.914868064976478 y[1] (numeric) 0.914868064976486 absolute error 7.993605777301127e-15 relative error 8.737441040207966e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.34021892203425336 Order of pole (three term test) 22.85993686665052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.319999999999973 y[1] (analytic) 0.9132064992391206 y[1] (numeric) 0.9132064992391284 absolute error 7.882583474838611e-15 relative error 8.631764536724546e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3472817898047242 Order of pole (three term test) 22.852621175339973 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.329999999999973 y[1] (analytic) 0.911446515234156 y[1] (numeric) 0.911446515234164 absolute error 7.993605777301127e-15 relative error 8.770241197584175e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35419552867307197 Order of pole (three term test) 22.845152223575337 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3399999999999728 y[1] (analytic) 0.9095878956755252 y[1] (numeric) 0.9095878956755331 absolute error 7.882583474838611e-15 relative error 8.666104191046253e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3609571324685786 Order of pole (three term test) 22.837533255904702 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3499999999999726 y[1] (analytic) 0.9076304338898017 y[1] (numeric) 0.9076304338898095 absolute error 7.771561172376096e-15 relative error 8.562473097194167e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3675636609954236 Order of pole (three term test) 22.82976758190034 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3599999999999723 y[1] (analytic) 0.9055739338761122 y[1] (numeric) 0.9055739338761201 absolute error 7.882583474838611e-15 relative error 8.704516748951605e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.37401224130602556 Order of pole (three term test) 22.821858574733085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.369999999999972 y[1] (analytic) 0.9034182103649115 y[1] (numeric) 0.9034182103649193 absolute error 7.771561172376096e-15 relative error 8.602395970341336e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38030006894574475 Order of pole (three term test) 22.813809669719557 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.379999999999972 y[1] (analytic) 0.9011630888755997 y[1] (numeric) 0.9011630888756074 absolute error 7.66053886991358e-15 relative error 8.500724191302372e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3864244091684143 Order of pole (three term test) 22.805624362842448 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3899999999999717 y[1] (analytic) 0.8988084057729752 y[1] (numeric) 0.8988084057729828 absolute error 7.66053886991358e-15 relative error 8.522994245170101e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3923825981221813 Order of pole (three term test) 22.797306209244812 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.3999999999999715 y[1] (analytic) 0.8963540083225126 y[1] (numeric) 0.8963540083225203 absolute error 7.771561172376096e-15 relative error 8.670191799465742e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3981720440051478 Order of pole (three term test) 22.788858821698817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4099999999999713 y[1] (analytic) 0.8937997547444559 y[1] (numeric) 0.8937997547444635 absolute error 7.549516567451064e-15 relative error 8.446541328051189e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4037902281903164 Order of pole (three term test) 22.780285869049575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.419999999999971 y[1] (analytic) 0.8911455142667172 y[1] (numeric) 0.8911455142667246 absolute error 7.438494264988549e-15 relative error 8.347115197128434e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.40923470631935405 Order of pole (three term test) 22.771591074634873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.429999999999971 y[1] (analytic) 0.888391167176573 y[1] (numeric) 0.8883911671765804 absolute error 7.438494264988549e-15 relative error 8.372994396859086e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4145031093647039 Order of pole (three term test) 22.76277821468122 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4399999999999706 y[1] (analytic) 0.8855366048711494 y[1] (numeric) 0.8855366048711568 absolute error 7.438494264988549e-15 relative error 8.399985075795814e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41959314465958386 Order of pole (three term test) 22.75385111667705 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4499999999999704 y[1] (analytic) 0.8825817299066847 y[1] (numeric) 0.882581729906692 absolute error 7.327471962526033e-15 relative error 8.302315484482968e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4245025968954269 Order of pole (three term test) 22.744813657723743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.45999999999997 y[1] (analytic) 0.8795264560465632 y[1] (numeric) 0.8795264560465706 absolute error 7.438494264988549e-15 relative error 8.457385464474017e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42922932908632483 Order of pole (three term test) 22.735669762864998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.46999999999997 y[1] (analytic) 0.8763707083081116 y[1] (numeric) 0.8763707083081186 absolute error 6.994405055138486e-15 relative error 7.981103189358785e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4337712835000603 Order of pole (three term test) 22.726423403395525 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.47999999999997 y[1] (analytic) 0.873114423008145 y[1] (numeric) 0.8731144230081521 absolute error 7.105427357601002e-15 relative error 8.138025406934227e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4381264825553144 Order of pole (three term test) 22.717078595149463 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4899999999999696 y[1] (analytic) 0.8697575478072643 y[1] (numeric) 0.8697575478072713 absolute error 6.994405055138486e-15 relative error 8.041787131105674e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4422930296846574 Order of pole (three term test) 22.70763939676941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.4999999999999694 y[1] (analytic) 0.8663000417528832 y[1] (numeric) 0.86630004175289 absolute error 6.772360450213455e-15 relative error 7.817569114403099e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4462691101629434 Order of pole (three term test) 22.698109907956816 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.509999999999969 y[1] (analytic) 0.8627418753209877 y[1] (numeric) 0.8627418753209944 absolute error 6.772360450213455e-15 relative error 7.84981075329601e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45005299190073955 Order of pole (three term test) 22.688494267704378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.519999999999969 y[1] (analytic) 0.8590830304566159 y[1] (numeric) 0.8590830304566226 absolute error 6.661338147750939e-15 relative error 7.754009695908362e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4536430262024376 Order of pole (three term test) 22.67879665251111 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5299999999999687 y[1] (analytic) 0.8553235006130495 y[1] (numeric) 0.8553235006130562 absolute error 6.661338147750939e-15 relative error 7.788092041170917e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4570376484887109 Order of pole (three term test) 22.669021274581098 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5399999999999685 y[1] (analytic) 0.8514632907897113 y[1] (numeric) 0.8514632907897178 absolute error 6.5503158452884236e-15 relative error 7.693010275537736e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46023537898299066 Order of pole (three term test) 22.659172380006385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5499999999999683 y[1] (analytic) 0.8475024175687593 y[1] (numeric) 0.8475024175687659 absolute error 6.5503158452884236e-15 relative error 7.728964200573487e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46323482336165167 Order of pole (three term test) 22.649254246934944 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.559999999999968 y[1] (analytic) 0.8434409091503731 y[1] (numeric) 0.8434409091503794 absolute error 6.328271240363392e-15 relative error 7.502921866498125e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46603467336761406 Order of pole (three term test) 22.639271183724475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.569999999999968 y[1] (analytic) 0.8392788053867201 y[1] (numeric) 0.8392788053867263 absolute error 6.217248937900877e-15 relative error 7.407846949067317e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46863370738707727 Order of pole (three term test) 22.629227527082687 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5799999999999677 y[1] (analytic) 0.8350161578146014 y[1] (numeric) 0.8350161578146074 absolute error 5.995204332975845e-15 relative error 7.17974649576417e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4710307909891246 Order of pole (three term test) 22.61912764019506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5899999999999674 y[1] (analytic) 0.8306530296867632 y[1] (numeric) 0.8306530296867694 absolute error 6.106226635438361e-15 relative error 7.351115829603368e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47322487742794506 Order of pole (three term test) 22.608975910840634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.5999999999999672 y[1] (analytic) 0.8261894960018743 y[1] (numeric) 0.8261894960018803 absolute error 5.995204332975845e-15 relative error 7.256451893891235e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4752150081074382 Order of pole (three term test) 22.598776749496814 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.609999999999967 y[1] (analytic) 0.8216256435331544 y[1] (numeric) 0.8216256435331604 absolute error 5.995204332975845e-15 relative error 7.29675902908199e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47700031300798357 Order of pole (three term test) 22.58853458743387 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.619999999999967 y[1] (analytic) 0.8169615708556561 y[1] (numeric) 0.816961570855662 absolute error 5.88418203051333e-15 relative error 7.202519972084427e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47858001107516657 Order of pole (three term test) 22.578253874799994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6299999999999666 y[1] (analytic) 0.8121973883721874 y[1] (numeric) 0.8121973883721931 absolute error 5.773159728050814e-15 relative error 7.108074725063359e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4799534105702769 Order of pole (three term test) 22.567939078697705 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6399999999999664 y[1] (analytic) 0.8073332183378705 y[1] (numeric) 0.8073332183378761 absolute error 5.551115123125783e-15 relative error 6.875866119511796e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4811199093824018 Order of pole (three term test) 22.5575946812524 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.649999999999966 y[1] (analytic) 0.8023691948833331 y[1] (numeric) 0.8023691948833386 absolute error 5.440092820663267e-15 relative error 6.780036989648229e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4820789953019607 Order of pole (three term test) 22.547225177673926 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.659999999999966 y[1] (analytic) 0.7973054640365227 y[1] (numeric) 0.7973054640365281 absolute error 5.440092820663267e-15 relative error 6.823097377411262e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48283024625553655 Order of pole (three term test) 22.53683507431189 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6699999999999657 y[1] (analytic) 0.7921421837431408 y[1] (numeric) 0.7921421837431463 absolute error 5.440092820663267e-15 relative error 6.867571166273434e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48337333050188264 Order of pole (three term test) 22.52642888670569 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6799999999999655 y[1] (analytic) 0.7868795238856909 y[1] (numeric) 0.7868795238856963 absolute error 5.329070518200751e-15 relative error 6.772409697338749e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4837080067889901 Order of pole (three term test) 22.51601113762992 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.6899999999999653 y[1] (analytic) 0.7815176663011336 y[1] (numeric) 0.7815176663011387 absolute error 5.10702591327572e-15 relative error 6.534754278104682e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48383412447213003 Order of pole (three term test) 22.505586355136096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.699999999999965 y[1] (analytic) 0.7760568047971452 y[1] (numeric) 0.7760568047971502 absolute error 4.9960036108132044e-15 relative error 6.437677731746864e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48375162359278717 Order of pole (three term test) 22.495159070591527 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.709999999999965 y[1] (analytic) 0.7704971451669749 y[1] (numeric) 0.7704971451669799 absolute error 4.9960036108132044e-15 relative error 6.484129944090212e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48346053491843005 Order of pole (three term test) 22.484733816716144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7199999999999647 y[1] (analytic) 0.7648389052028937 y[1] (numeric) 0.7648389052028985 absolute error 4.884981308350689e-15 relative error 6.386941452794976e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48296097994306947 Order of pole (three term test) 22.47431512561809 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7299999999999645 y[1] (analytic) 0.7590823147082318 y[1] (numeric) 0.7590823147082366 absolute error 4.773959005888173e-15 relative error 6.289118997223822e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4822531708485824 Order of pole (three term test) 22.463907526829022 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7399999999999642 y[1] (analytic) 0.7532276155080003 y[1] (numeric) 0.7532276155080052 absolute error 4.884981308350689e-15 relative error 6.485398580422605e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4813374104267867 Order of pole (three term test) 22.45351554533983 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.749999999999964 y[1] (analytic) 0.7472750614580917 y[1] (numeric) 0.7472750614580962 absolute error 4.440892098500626e-15 relative error 5.94278108229051e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.48021409196227566 Order of pole (three term test) 22.443143699637744 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.759999999999964 y[1] (analytic) 0.7412249184530534 y[1] (numeric) 0.7412249184530578 absolute error 4.440892098500626e-15 relative error 5.991288187894207e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4788836990760329 Order of pole (three term test) 22.43279649974558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7699999999999636 y[1] (analytic) 0.7350774644324362 y[1] (numeric) 0.7350774644324405 absolute error 4.3298697960381105e-15 relative error 5.890358507155794e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4773468055298692 Order of pole (three term test) 22.422478445264023 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y[1] (analytic) 0.728832989385706 y[1] (numeric) 0.7288329893857101 absolute error 4.107825191113079e-15 relative error 5.636168026059501e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47560407499173446 Order of pole (three term test) 22.41219402341775 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y[1] (analytic) 0.72249179535572 y[1] (numeric) 0.7224917953557237 absolute error 3.774758283725532e-15 relative error 5.224638269929451e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4736562607619816 Order of pole (three term test) 22.401947707106284 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y[1] (analytic) 0.716054196440762 y[1] (numeric) 0.7160541964407657 absolute error 3.774758283725532e-15 relative error 5.271609750335165e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.47150420546066774 Order of pole (three term test) 22.3917439529604 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y[1] (analytic) 0.7095205187951353 y[1] (numeric) 0.709520518795139 absolute error 3.6637359812630166e-15 relative error 5.163678687523442e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46914884067600376 Order of pole (three term test) 22.381587199404873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y[1] (analytic) 0.7028911006283065 y[1] (numeric) 0.70289110062831 absolute error 3.4416913763379853e-15 relative error 4.896478804841171e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.46659118657407306 Order of pole (three term test) 22.371481864728548 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y[1] (analytic) 0.6961662922025993 y[1] (numeric) 0.6961662922026026 absolute error 3.3306690738754696e-15 relative error 4.784300979781097e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4638323514699583 Order of pole (three term test) 22.361432345162378 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y[1] (analytic) 0.689346455829437 y[1] (numeric) 0.6893464558294401 absolute error 3.1086244689504383e-15 relative error 4.5095241190586414e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4608735313604382 Order of pole (three term test) 22.35144301296648 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y[1] (analytic) 0.6824319658641265 y[1] (numeric) 0.6824319658641297 absolute error 3.219646771412954e-15 relative error 4.717901464853116e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45771600941842233 Order of pole (three term test) 22.34151821452682 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y[1] (analytic) 0.6754232086991865 y[1] (numeric) 0.6754232086991896 absolute error 3.1086244689504383e-15 relative error 4.602483937348573e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4543611554493206 Order of pole (three term test) 22.331662268462555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y[1] (analytic) 0.6683205827562121 y[1] (numeric) 0.6683205827562149 absolute error 2.7755575615628914e-15 relative error 4.1530331897249836e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.45081042530954807 Order of pole (three term test) 22.32187946374475 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y[1] (analytic) 0.6611244984762777 y[1] (numeric) 0.6611244984762804 absolute error 2.6645352591003757e-15 relative error 4.0303078546347103e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.447065360287397 Order of pole (three term test) 22.3121740578273 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y[1] (analytic) 0.6538353783088758 y[1] (numeric) 0.6538353783088783 absolute error 2.4424906541753444e-15 relative error 3.7356355058252857e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4431275864465094 Order of pole (three term test) 22.30255027479093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y[1] (analytic) 0.6464536566993857 y[1] (numeric) 0.646453656699388 absolute error 2.3314683517128287e-15 relative error 3.606551417183815e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4389988139322123 Order of pole (three term test) 22.293012303501033 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y[1] (analytic) 0.6389797800750763 y[1] (numeric) 0.6389797800750785 absolute error 2.220446049250313e-15 relative error 3.474986405656567e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4346808362409901 Order of pole (three term test) 22.28356429578019 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y[1] (analytic) 0.6314142068296372 y[1] (numeric) 0.6314142068296392 absolute error 1.9984014443252818e-15 relative error 3.1649611660772676e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43017552945338 Order of pole (three term test) 22.274210364596158 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y[1] (analytic) 0.6237574073062379 y[1] (numeric) 0.6237574073062396 absolute error 1.7763568394002505e-15 relative error 2.8478328571225065e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42548485143060205 Order of pole (three term test) 22.264954582266142 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y[1] (analytic) 0.6160098637791144 y[1] (numeric) 0.616009863779116 absolute error 1.6653345369377348e-15 relative error 2.7034218684765766e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4206108409752439 Order of pole (three term test) 22.255800978678142 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y[1] (analytic) 0.6081720704336827 y[1] (numeric) 0.6081720704336842 absolute error 1.4432899320127035e-15 relative error 2.3731604954885626e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4155556169563437 Order of pole (three term test) 22.246753539530168 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y[1] (analytic) 0.6002445333451755 y[1] (numeric) 0.6002445333451768 absolute error 1.3322676295501878e-15 relative error 2.2195414627525755e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4103213773992208 Order of pole (three term test) 22.237816204588054 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y[1] (analytic) 0.5922277704558055 y[1] (numeric) 0.5922277704558065 absolute error 9.992007221626409e-16 relative error 1.687189915787992e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4049103985404312 Order of pole (three term test) 22.228992865962745 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y[1] (analytic) 0.5841223115504514 y[1] (numeric) 0.5841223115504522 absolute error 8.881784197001252e-16 relative error 1.5205350012099515e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3993250338482316 Order of pole (three term test) 22.22028736640774 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y[1] (analytic) 0.5759286982308686 y[1] (numeric) 0.5759286982308691 absolute error 5.551115123125783e-16 relative error 9.638545778631342e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3935677130089597 Order of pole (three term test) 22.211703497637465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y[1] (analytic) 0.5676474838884218 y[1] (numeric) 0.5676474838884223 absolute error 5.551115123125783e-16 relative error 9.779159215329005e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.387640940879744 Order of pole (three term test) 22.20324499866734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y[1] (analytic) 0.5592792336753442 y[1] (numeric) 0.5592792336753449 absolute error 7.771561172376096e-16 relative error 1.3895672688050147e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.38154729640798246 Order of pole (three term test) 22.194915554176347 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y[1] (analytic) 0.5508245244745179 y[1] (numeric) 0.5508245244745186 absolute error 6.661338147750939e-16 relative error 1.2093394269446882e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3752894315180371 Order of pole (three term test) 22.18671879289267 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y[1] (analytic) 0.5422839448677789 y[1] (numeric) 0.5422839448677793 absolute error 4.440892098500626e-16 relative error 8.189237650366759e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36887006996560956 Order of pole (three term test) 22.178658286003266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y[1] (analytic) 0.5336580951027476 y[1] (numeric) 0.5336580951027478 absolute error 1.1102230246251565e-16 relative error 2.0804013558744954e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.5249475870581852 y[1] (numeric) 0.5249475870581851 absolute error 1.1102230246251565e-16 relative error 2.1149216645548642e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.5161530442078757 y[1] (numeric) 0.5161530442078754 absolute error 2.220446049250313e-16 relative error 4.301914081816497e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.5072751015830356 y[1] (numeric) 0.5072751015830352 absolute error 3.3306690738754696e-16 relative error 6.56580436035904e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.4983144057332533 y[1] (numeric) 0.49831440573325275 absolute error 5.551115123125783e-16 relative error 1.1139784560226588e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.4892716146859575 y[1] (numeric) 0.4892716146859567 absolute error 7.771561172376096e-16 relative error 1.5883940410817269e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.48014739790441846 y[1] (numeric) 0.4801473979044175 absolute error 9.43689570931383e-16 relative error 1.965416401401056e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.47094243624428334 y[1] (numeric) 0.47094243624428217 absolute error 1.1657341758564144e-15 relative error 2.475322005706308e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.4616574219086462 y[1] (numeric) 0.4616574219086448 absolute error 1.4432899320127035e-15 relative error 3.126322384346514e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.45229305840165684 y[1] (numeric) 0.45229305840165535 absolute error 1.4988010832439613e-15 relative error 3.3137830780346794e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.4428500604806703 y[1] (numeric) 0.44285006048066855 absolute error 1.7763568394002505e-15 relative error 4.0111924958804096e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.4333291541069377 y[1] (numeric) 0.4333291541069356 absolute error 2.0539125955565396e-15 relative error 4.739844010240935e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.4237310763948439 y[1] (numeric) 0.42373107639484175 absolute error 2.1649348980190553e-15 relative error 5.10921907460408e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.4140565755596941 y[1] (numeric) 0.4140565755596918 absolute error 2.3314683517128287e-15 relative error 5.630796585131645e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.4043064108640503 y[1] (numeric) 0.40430641086404767 absolute error 2.609024107869118e-15 relative error 6.45308616871379e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.189999999999955 y[1] (analytic) 0.3944813525626235 y[1] (numeric) 0.3944813525626207 absolute error 2.831068712794149e-15 relative error 7.17668577843542e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.3845821818457247 y[1] (numeric) 0.3845821818457217 absolute error 2.9976021664879227e-15 relative error 7.794438504928998e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.3746096907812765 y[1] (numeric) 0.37460969078127326 absolute error 3.219646771412954e-15 relative error 8.594670267867711e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.3645646822553911 y[1] (numeric) 0.36456468225538763 absolute error 3.497202527569243e-15 relative error 9.59281767486002e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.229999999999954 y[1] (analytic) 0.3544479699115177 y[1] (numeric) 0.35444796991151395 absolute error 3.774758283725532e-15 relative error 1.0649682334667738e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.34426037808816334 y[1] (numeric) 0.34426037808815946 absolute error 3.885780586188048e-15 relative error 1.128733026951164e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.3340027417551925 y[1] (numeric) 0.33400274175518846 absolute error 4.052314039881821e-15 relative error 1.2132577171632821e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.32367590644870836 y[1] (numeric) 0.3236759064487041 absolute error 4.274358644806853e-15 relative error 1.3205674440535454e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.3132807282045216 y[1] (numeric) 0.3132807282045171 absolute error 4.496403249731884e-15 relative error 1.43526327824304e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.3028180734902114 y[1] (numeric) 0.3028180734902067 absolute error 4.718447854656915e-15 relative error 1.5581790744103123e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.29228881913578353 y[1] (numeric) 0.2922888191357786 absolute error 4.9404924595819466e-15 relative error 1.6902776076723031e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.28169385226293053 y[1] (numeric) 0.28169385226292537 absolute error 5.162537064506978e-15 relative error 1.8326765114093836e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.2710340702128996 y[1] (numeric) 0.2710340702128942 absolute error 5.384581669432009e-15 relative error 1.9866807391418996e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.26031038047297383 y[1] (numeric) 0.2603103804729682 absolute error 5.662137425588298e-15 relative error 2.175148534338283e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.24952370060157208 y[1] (numeric) 0.2495237006015662 absolute error 5.88418203051333e-15 relative error 2.3581655836007818e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.339999999999952 y[1] (analytic) 0.23867495815197431 y[1] (numeric) 0.23867495815196815 absolute error 6.161737786669619e-15 relative error 2.581644020964354e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.22776509059467703 y[1] (numeric) 0.22776509059467068 absolute error 6.356026815979021e-15 relative error 2.7906062335469966e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.21679504523838689 y[1] (numeric) 0.21679504523838028 absolute error 6.6058269965196814e-15 relative error 3.0470378090310794e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.20576577914965682 y[1] (numeric) 0.20576577914965 absolute error 6.827871601444713e-15 relative error 3.3182736360056694e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.19467825907117342 y[1] (numeric) 0.1946782590711664 absolute error 7.022160630754115e-15 relative error 3.607059496143762e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.18353346133870066 y[1] (numeric) 0.18353346133869336 absolute error 7.299716386910404e-15 relative error 3.9773218102388365e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.399999999999951 y[1] (analytic) 0.17233237179668742 y[1] (numeric) 0.17233237179667996 absolute error 7.466249840604178e-15 relative error 4.332470889109932e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.1610759857125471 y[1] (numeric) 0.16107598571253934 absolute error 7.771561172376096e-15 relative error 4.824779521290693e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.14976530768961396 y[1] (numeric) 0.14976530768960594 absolute error 8.021361352916756e-15 relative error 5.3559542437831396e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.42999999999995 y[1] (analytic) 0.13840135157878666 y[1] (numeric) 0.13840135157877845 absolute error 8.215650382226158e-15 relative error 5.936105600492853e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.1269851403888647 y[1] (numeric) 0.12698514038885617 absolute error 8.520961713998076e-15 relative error 6.710203798573962e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4499999999999496 y[1] (analytic) 0.11551770619558549 y[1] (numeric) 0.11551770619557675 absolute error 8.743006318923108e-15 relative error 7.568542180122706e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.1040000900493719 y[1] (numeric) 0.10400009004936288 absolute error 9.020562075079397e-15 relative error 8.673609869757873e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.469999999999949 y[1] (analytic) 0.09243334188179564 y[1] (numeric) 0.09243334188178637 absolute error 9.270362255620057e-15 relative error 1.0029240603974979e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.08081852041076737 y[1] (numeric) 0.08081852041075786 absolute error 9.506284648352903e-15 relative error 1.1762507652993843e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.0691566930444603 y[1] (numeric) 0.06915669304445057 absolute error 9.728329253277934e-15 relative error 1.4067082772485473e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.4999999999999485 y[1] (analytic) 0.05744893578397667 y[1] (numeric) 0.05744893578396666 absolute error 1.0005885009434223e-14 relative error 1.7417006725866988e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.04569633312476541 y[1] (numeric) 0.045696333124755184 absolute error 1.0227929614359255e-14 relative error 2.238238588298492e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.03389997795680094 y[1] (numeric) 0.03389997795679042 absolute error 1.0519363158323358e-14 relative error 3.103058996595302e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.02206097146353058 y[1] (numeric) 0.022060971463519777 absolute error 1.0803857808383555e-14 relative error 4.8972720110007945e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) 0.010180423019601523 y[1] (numeric) 0.010180423019590483 absolute error 1.10397802011164e-14 relative error 1.0844127183968937e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.0017405499126240676 y[1] (numeric) -0.0017405499126353623 absolute error 1.1294784552084991e-14 relative error 6.489204630194649e-10% Correct digits 12 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.013700821887756391 y[1] (numeric) -0.013700821887767911 absolute error 1.1520298603961976e-14 relative error 8.408472643715616e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.569999999999947 y[1] (analytic) -0.025699259583257236 y[1] (numeric) -0.025699259583269022 absolute error 1.1785711295786427e-14 relative error 4.58601200458891e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.0377347219065021 y[1] (numeric) -0.037734721906514154 absolute error 1.2052858711086856e-14 relative error 3.1941029646252717e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.04980606010301431 y[1] (numeric) -0.049806060103026614 absolute error 1.2302658891627516e-14 relative error 2.470112846947102e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.06191211786586132 y[1] (numeric) -0.06191211786587391 absolute error 1.2587153541687712e-14 relative error 2.033067834791085e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.609999999999946 y[1] (analytic) -0.07405173144620304 y[1] (numeric) -0.07405173144621587 absolute error 1.2823075934420558e-14 relative error 1.7316375571496584e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.619999999999946 y[1] (analytic) -0.08622372976498079 y[1] (numeric) -0.08622372976499386 absolute error 1.3072876114961218e-14 relative error 1.516157576411254e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.629999999999946 y[1] (analytic) -0.09842693452573725 y[1] (numeric) -0.09842693452575058 absolute error 1.3322676295501878e-14 relative error 1.353560014816695e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.1106601603285558 y[1] (numeric) -0.1106601603285694 absolute error 1.3600232051658168e-14 relative error 1.229008887324794e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.12292221478510856 y[1] (numeric) -0.12292221478512241 absolute error 1.3850032232198828e-14 relative error 1.1267314257566317e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.13521189863480168 y[1] (numeric) -0.1352118986348158 absolute error 1.4127587988355117e-14 relative error 1.0448479853472651e-11% Correct digits 13 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.669999999999945 y[1] (analytic) -0.14752800586200715 y[1] (numeric) -0.14752800586202156 absolute error 1.4405143744511406e-14 relative error 9.764345190150204e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.159869323814369 y[1] (numeric) -0.15986932381438368 absolute error 1.4682699500667695e-14 relative error 9.18418815464335e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.689999999999944 y[1] (analytic) -0.17223463332217284 y[1] (numeric) -0.17223463332218777 absolute error 1.4932499681208355e-14 relative error 8.669858897238411e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 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) -0.1846227088187665 y[1] (numeric) -0.1846227088187817 absolute error 1.5210055437364645e-14 relative error 8.238453186327951e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2395522133601678 Order of pole (three term test) 22.067369219322998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.709999999999944 y[1] (analytic) -0.19703231846202043 y[1] (numeric) -0.1970323184620359 absolute error 1.5459855617905305e-14 relative error 7.84635522668598e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24809395120494063 Order of pole (three term test) 22.07269265516459 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.719999999999944 y[1] (analytic) -0.2094622242568153 y[1] (numeric) -0.209462224256831 absolute error 1.5709655798445965e-14 relative error 7.499994738518976e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2565251605915604 Order of pole (three term test) 22.078202034433964 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) -0.22191118217854489 y[1] (numeric) -0.22191118217856087 absolute error 1.5987211554602254e-14 relative error 7.2043289561403415e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.26484216152852574 Order of pole (three term test) 22.083894951994026 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) -0.23437794229762215 y[1] (numeric) -0.2343779422976384 absolute error 1.6237011735142914e-14 relative error 6.9277047046195714e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.273041324100541 Order of pole (three term test) 22.08976892268319 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) -0.2468612489049753 y[1] (numeric) -0.24686124890499178 absolute error 1.6486811915683575e-14 relative error 6.678574295810142e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2811190700607928 Order of pole (three term test) 22.09582138241248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) -0.2593598406385221 y[1] (numeric) -0.25935984063853884 absolute error 1.6764367671839864e-14 relative error 6.463748447164142e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2890718744001346 Order of pole (three term test) 22.10204968929749 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) -0.2718724506106093 y[1] (numeric) -0.27187245061062626 absolute error 1.6986412276764895e-14 relative error 6.2479343672425905e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.2968962668924736 Order of pole (three term test) 22.108451124824665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) -0.284397806536404 y[1] (numeric) -0.2843978065364212 absolute error 1.7208456881689926e-14 relative error 6.050840226676354e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.30458883361566447 Order of pole (three term test) 22.115022895051435 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) -0.2969346308632247 y[1] (numeric) -0.2969346308632422 absolute error 1.7486012637846216e-14 relative error 5.888842465768399e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3121462184472289 Order of pole (three term test) 22.121762131839546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) -0.30948164090079816 y[1] (numeric) -0.30948164090081587 absolute error 1.7708057242771247e-14 relative error 5.72184417506285e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.31956512453422786 Order of pole (three term test) 22.128665894121134 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) -0.32203754895242903 y[1] (numeric) -0.322037548952447 absolute error 1.7985612998927536e-14 relative error 5.584942829627718e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.32684231573663014 Order of pole (three term test) 22.135731169196866 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) -0.3346010624470693 y[1] (numeric) -0.33460106244708754 absolute error 1.8263168755083825e-14 relative error 5.458192099426727e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3339746180435312 Order of pole (three term test) 22.142954874065637 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) -0.34717088407227303 y[1] (numeric) -0.3471708840722916 absolute error 1.8540724511240114e-14 relative error 5.340518275541897e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3409589209615874 Order of pole (three term test) 22.150333856785185 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) -0.359745711908024 y[1] (numeric) -0.35974571190804283 absolute error 1.8818280267396403e-14 relative error 5.2309950180052915e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3477921788750487 Order of pole (three term test) 22.157864897862925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) -0.37232423956142113 y[1] (numeric) -0.3723242395614403 absolute error 1.915134717478395e-14 relative error 5.143728272256261e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.35447141237678265 Order of pole (three term test) 22.165544711676542 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) -0.38490515630220895 y[1] (numeric) -0.3849051563022284 absolute error 1.942890293094024e-14 relative error 5.047711783753191e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.36099370956969673 Order of pole (three term test) 22.173369947923472 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) -0.397487147199138 y[1] (numeric) -0.39748714719915773 absolute error 1.970645868709653e-14 relative error 4.957759974368113e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3673562273379828 Order of pole (three term test) 22.18133719309881 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) -0.4100688932571421 y[1] (numeric) -0.41006889325716206 absolute error 1.9984014443252818e-14 relative error 4.873330987025498e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3735561925876187 Order of pole (three term test) 22.189442972000837 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) -0.42264907155531706 y[1] (numeric) -0.42264907155533726 absolute error 2.020605904817785e-14 relative error 4.780812359014787e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.379590903455579 Order of pole (three term test) 22.197683749263504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) -0.43522635538568755 y[1] (numeric) -0.43522635538570803 absolute error 2.0483614804334138e-14 relative error 4.706427942807377e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3854577304872198 Order of pole (three term test) 22.206055930915266 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) -0.44779941439274673 y[1] (numeric) -0.4477994143927675 absolute error 2.0761170560490427e-14 relative error 4.636265679052819e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39115411778132053 Order of pole (three term test) 22.214555865963387 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) -0.46036691471375435 y[1] (numeric) -0.4603669147137754 absolute error 2.1038726316646716e-14 relative error 4.569990945098241e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.39667758410227716 Order of pole (three term test) 22.223179848003085 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) -0.4729275191197785 y[1] (numeric) -0.47292751911979986 absolute error 2.1371793224034263e-14 relative error 4.519042001153125e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4020257239589619 Order of pole (three term test) 22.231924116850905 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) -0.48547988715746665 y[1] (numeric) -0.4854798871574882 absolute error 2.1538326677728037e-14 relative error 4.436502365491822e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4071962086497746 Order of pole (three term test) 22.24078486020126 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) -0.4980226752915294 y[1] (numeric) -0.4980226752915512 absolute error 2.1815882433884326e-14 relative error 4.3804998278670505e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.41218678727343283 Order of pole (three term test) 22.24975821530572 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) -0.5105545370479244 y[1] (numeric) -0.5105545370479465 absolute error 2.2093438190040615e-14 relative error 4.327341466356759e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4169952877050584 Order of pole (three term test) 22.25884027067407 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) -0.523074123157723 y[1] (numeric) -0.5230741231577453 absolute error 2.2315482794965646e-14 relative error 4.2662180763694254e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42161961753714067 Order of pole (three term test) 22.268027067796456 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) -0.5355800817016446 y[1] (numeric) -0.5355800817016673 absolute error 2.2648549702353193e-14 relative error 4.228788649195885e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.42605776498496695 Order of pole (three term test) 22.277314602885735 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) -0.5480710582552459 y[1] (numeric) -0.5480710582552688 absolute error 2.2870594307278225e-14 relative error 4.172925018169269e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.43030779975613365 Order of pole (three term test) 22.286698828639437 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) -0.5605456960347444 y[1] (numeric) -0.5605456960347674 absolute error 2.3092638912203256e-14 relative error 4.119671076873615e-12% Correct digits 14 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.4343678738837631 Order of pole (three term test) 22.296175656020303 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = ( 0.2 * x + 0.3 ) * sin ( x ) ; Iterations 491 Total Elapsed Time 0 Seconds Elapsed Time(since restart) 0 Seconds Time to Timeout 30 Minutes 0.0 Seconds Percent Done 100.40816326530484%