##############ECHO OF PROBLEM################# ##############temp/sub_c_sinpostode.ode################# diff ( y , x , 1 ) = 1.0 - 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=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(2.0 + cos(x) + 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 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 2.467208605532302e-183 estimated_step_error 2.467208605532302e-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 1.655715664606566e-175 estimated_step_error 1.655715664606566e-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 1.1111319694584357e-167 estimated_step_error 1.1111319694584357e-167 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 7.456680367024187e-160 estimated_step_error 7.456680367024187e-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 5.004093412037817e-152 estimated_step_error 5.004093412037817e-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 3.3581901424816246e-144 estimated_step_error 3.3581901424816246e-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 2.2536431215809203e-136 estimated_step_error 2.2536431215809203e-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 1.512394117654307e-128 estimated_step_error 1.512394117654307e-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 1.0149502701580557e-120 estimated_step_error 1.0149502701580557e-120 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 6.811212724408108e-113 estimated_step_error 6.811212724408108e-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 4.5709231343600255e-105 estimated_step_error 4.5709231343600255e-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 3.067488750234022e-97 estimated_step_error 3.067488750234022e-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 2.0585490116180908e-89 estimated_step_error 2.0585490116180908e-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 1.3814583197402446e-81 estimated_step_error 1.3814583197402446e-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 9.270668118428106e-74 estimated_step_error 9.270668118428106e-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 6.221249002016116e-66 estimated_step_error 6.221249002016116e-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 4.174750875079242e-58 estimated_step_error 4.174750875079242e-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 2.801274754399603e-50 estimated_step_error 2.801274754399603e-50 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 3.095004165278026 y[1] (numeric) 3.095004165278026 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 3.1039560979566967 y[1] (numeric) 3.1039560979566967 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 3.1128086358538662 y[1] (numeric) 3.1128086358538662 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 3.121561893714788 y[1] (numeric) 3.121561893714788 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 3.130215996212637 y[1] (numeric) 3.1302159962126375 absolute error 4.440892098500626e-16 relative error 1.4187174635468683e-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] 0.15000000000000002 y[1] (analytic) 3.1387710779360423 y[1] (numeric) 3.1387710779360427 absolute error 4.440892098500626e-16 relative error 1.4148505858607623e-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] 0.16000000000000003 y[1] (analytic) 3.147227283375627 y[1] (numeric) 3.1472272833756274 absolute error 4.440892098500626e-16 relative error 1.4110490595828374e-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] 0.17000000000000004 y[1] (analytic) 3.1555847669095605 y[1] (numeric) 3.1555847669095614 absolute error 8.881784197001252e-16 relative error 2.8146238662761948e-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] 0.18000000000000005 y[1] (analytic) 3.1638436927881215 y[1] (numeric) 3.163843692788122 absolute error 4.440892098500626e-16 relative error 1.4036382734783943e-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] 0.19000000000000006 y[1] (analytic) 3.1720042351172704 y[1] (numeric) 3.172004235117271 absolute error 4.440892098500626e-16 relative error 1.4000271655805165e-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] 0.20000000000000007 y[1] (analytic) 3.1800665778412416 y[1] (numeric) 3.180066577841242 absolute error 4.440892098500626e-16 relative error 1.3964777119588749e-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] 0.21000000000000008 y[1] (analytic) 3.1880309147241483 y[1] (numeric) 3.188030914724149 absolute error 4.440892098500626e-16 relative error 1.3929890321922692e-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] 0.22000000000000008 y[1] (analytic) 3.1958974493306056 y[1] (numeric) 3.195897449330606 absolute error 4.440892098500626e-16 relative error 1.3895602624642384e-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] 0.2300000000000001 y[1] (analytic) 3.2036663950053748 y[1] (numeric) 3.203666395005375 absolute error 4.440892098500626e-16 relative error 1.3861905551165154e-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] 0.2400000000000001 y[1] (analytic) 3.2113379748520297 y[1] (numeric) 3.21133797485203 absolute error 4.440892098500626e-16 relative error 1.3828790782151329e-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] 0.2500000000000001 y[1] (analytic) 3.2189124217106446 y[1] (numeric) 3.218912421710645 absolute error 4.440892098500626e-16 relative error 1.3796250151287366e-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] 0.2600000000000001 y[1] (analytic) 3.2263899781345136 y[1] (numeric) 3.2263899781345136 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 3.2337708963658907 y[1] (numeric) 3.2337708963658907 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 3.241055438310771 y[1] (numeric) 3.241055438310771 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 3.248243875512697 y[1] (numeric) 3.2482438755126974 absolute error 4.440892098500626e-16 relative error 1.3671670812585412e-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] 0.30000000000000016 y[1] (analytic) 3.255336489125606 y[1] (numeric) 3.2553364891256065 absolute error 4.440892098500626e-16 relative error 1.3641883453017369e-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] 0.31000000000000016 y[1] (analytic) 3.262333569885713 y[1] (numeric) 3.2623335698857137 absolute error 4.440892098500626e-16 relative error 1.3612624225474897e-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] 0.3200000000000002 y[1] (analytic) 3.2692354180824412 y[1] (numeric) 3.2692354180824412 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 3.276042343528387 y[1] (numeric) 3.2760423435283874 absolute error 4.440892098500626e-16 relative error 1.3555661474502385e-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] 0.3400000000000002 y[1] (analytic) 3.2827546655283464 y[1] (numeric) 3.282754665528347 absolute error 4.440892098500626e-16 relative error 1.3527943909831843e-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] 0.3500000000000002 y[1] (analytic) 3.289372712847379 y[1] (numeric) 3.2893727128473795 absolute error 4.440892098500626e-16 relative error 1.350072638821296e-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] 0.3600000000000002 y[1] (analytic) 3.295896823677935 y[1] (numeric) 3.2958968236779356 absolute error 4.440892098500626e-16 relative error 1.3474002179306619e-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] 0.3700000000000002 y[1] (analytic) 3.3023273456060345 y[1] (numeric) 3.3023273456060354 absolute error 8.881784197001252e-16 relative error 2.689552932667034e-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] 0.3800000000000002 y[1] (analytic) 3.3086646355765104 y[1] (numeric) 3.3086646355765112 absolute error 8.881784197001252e-16 relative error 2.684401465624414e-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] 0.39000000000000024 y[1] (analytic) 3.314909059857313 y[1] (numeric) 3.314909059857314 absolute error 8.881784197001252e-16 relative error 2.679344753241454e-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] 0.40000000000000024 y[1] (analytic) 3.3210609940028855 y[1] (numeric) 3.321060994002886 absolute error 4.440892098500626e-16 relative error 1.3371907672035871e-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] 0.41000000000000025 y[1] (analytic) 3.327120822816605 y[1] (numeric) 3.327120822816606 absolute error 8.881784197001252e-16 relative error 2.6695105678435493e-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] 0.42000000000000026 y[1] (analytic) 3.3330889403123085 y[1] (numeric) 3.333088940312309 absolute error 4.440892098500626e-16 relative error 1.3323653157855779e-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] 0.43000000000000027 y[1] (analytic) 3.3389657496748852 y[1] (numeric) 3.3389657496748857 absolute error 4.440892098500626e-16 relative error 1.3300202611940644e-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] 0.4400000000000003 y[1] (analytic) 3.344751663219964 y[1] (numeric) 3.344751663219964 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 3.350447102352677 y[1] (numeric) 3.3504471023526774 absolute error 4.440892098500626e-16 relative error 1.3254625316669649e-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] 0.4600000000000003 y[1] (analytic) 3.3560524975255253 y[1] (numeric) 3.3560524975255257 absolute error 4.440892098500626e-16 relative error 1.3232486982176148e-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] 0.4700000000000003 y[1] (analytic) 3.361568288195329 y[1] (numeric) 3.3615682881953295 absolute error 4.440892098500626e-16 relative error 1.3210774608076567e-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] 0.4800000000000003 y[1] (analytic) 3.3669949227792846 y[1] (numeric) 3.3669949227792846 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 3.3723328586101218 y[1] (numeric) 3.3723328586101218 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 3.377582561890373 y[1] (numeric) 3.377582561890373 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 3.3827445076457514 y[1] (numeric) 3.382744507645752 absolute error 4.440892098500626e-16 relative error 1.312807422630715e-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] 0.5200000000000004 y[1] (analytic) 3.38781917967765 y[1] (numeric) 3.3878191796776504 absolute error 4.440892098500626e-16 relative error 1.310840946039858e-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] 0.5300000000000004 y[1] (analytic) 3.392807070514761 y[1] (numeric) 3.3928070705147615 absolute error 4.440892098500626e-16 relative error 1.3089138304073531e-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] 0.5400000000000004 y[1] (analytic) 3.397708681363824 y[1] (numeric) 3.3977086813638246 absolute error 4.440892098500626e-16 relative error 1.30702556192018e-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] 0.5500000000000004 y[1] (analytic) 3.402524522059506 y[1] (numeric) 3.4025245220595064 absolute error 4.440892098500626e-16 relative error 1.3051756334771715e-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] 0.5600000000000004 y[1] (analytic) 3.4072551110134164 y[1] (numeric) 3.407255111013417 absolute error 4.440892098500626e-16 relative error 1.3033635444983679e-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] 0.5700000000000004 y[1] (analytic) 3.411900975162269 y[1] (numeric) 3.4119009751622693 absolute error 4.440892098500626e-16 relative error 1.3015888007386904e-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] 0.5800000000000004 y[1] (analytic) 3.416462649915187 y[1] (numeric) 3.4164626499151876 absolute error 4.440892098500626e-16 relative error 1.2998509141058135e-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] 0.5900000000000004 y[1] (analytic) 3.4209406791001635 y[1] (numeric) 3.420940679100164 absolute error 4.440892098500626e-16 relative error 1.2981494024821115e-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] 0.6000000000000004 y[1] (analytic) 3.4253356149096787 y[1] (numeric) 3.4253356149096787 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 3.4296480178454796 y[1] (numeric) 3.42964801784548 absolute error 4.440892098500626e-16 relative error 1.2948536046245396e-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] 0.6200000000000004 y[1] (analytic) 3.433878456662534 y[1] (numeric) 3.4338784566625344 absolute error 4.440892098500626e-16 relative error 1.2932583824812577e-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] 0.6300000000000004 y[1] (analytic) 3.438027508312152 y[1] (numeric) 3.4380275083121523 absolute error 4.440892098500626e-16 relative error 1.2916976631989823e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.582294584819396 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 3.442095757884293 y[1] (numeric) 3.4420957578842932 absolute error 4.440892098500626e-16 relative error 1.2901709919976921e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.890876444419295 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 3.446083798549056 y[1] (numeric) 3.4460837985490564 absolute error 4.440892098500626e-16 relative error 1.2886779190832288e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.20408798267353 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 3.4499922314973652 y[1] (numeric) 3.4499922314973657 absolute error 4.440892098500626e-16 relative error 1.2872179994947961e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.522098256873289 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 3.453821665880849 y[1] (numeric) 3.45382166588085 absolute error 8.881784197001252e-16 relative error 2.571581585911465e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.845083494565142 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 3.457572718750928 y[1] (numeric) 3.457572718750929 absolute error 8.881784197001252e-16 relative error 2.5687917274549348e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.173227502851304 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 3.4612460149971067 y[1] (numeric) 3.4612460149971076 absolute error 8.881784197001252e-16 relative error 2.5660655609331707e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.50672210538052 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 3.464842187284489 y[1] (numeric) 3.4648421872844892 absolute error 4.440892098500626e-16 relative error 1.2817011160849147e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.84576760926161 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 3.4683618759905084 y[1] (numeric) 3.468361875990509 absolute error 4.440892098500626e-16 relative error 1.2804004476125718e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.190573304338834 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 3.471805729140895 y[1] (numeric) 3.4718057291408955 absolute error 4.440892098500626e-16 relative error 1.2791303560638842e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.541357997496704 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 3.4751744023448703 y[1] (numeric) 3.4751744023448707 absolute error 4.440892098500626e-16 relative error 1.277890426306127e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.89835058491631 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 3.4784685587295883 y[1] (numeric) 3.4784685587295883 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.261790665486036 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 3.481688868873821 y[1] (numeric) 3.4816888688738215 absolute error 4.440892098500626e-16 relative error 1.2754994101288168e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.631929198881462 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 3.4848360107409055 y[1] (numeric) 3.4848360107409055 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.00902921217608 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 3.4879106696109434 y[1] (numeric) 3.487910669610944 absolute error 4.440892098500626e-16 relative error 1.273224150260701e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.393366559229815 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 3.4909135380122778 y[1] (numeric) 3.4909135380122778 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.206245559681474 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 3.493845315652236 y[1] (numeric) 3.4938453156522367 absolute error 4.440892098500626e-16 relative error 1.2710614515776276e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.825930021943517 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 3.4967067093471655 y[1] (numeric) 3.496706709347166 absolute error 4.440892098500626e-16 relative error 1.2700213279625444e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.453077412358997 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 3.4994984329517473 y[1] (numeric) 3.499498432951748 absolute error 4.440892098500626e-16 relative error 1.2690081689091756e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.087397774889016 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 3.5022212072876138 y[1] (numeric) 3.502221207287614 absolute error 4.440892098500626e-16 relative error 1.2680215884878358e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.728615019669064 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 3.504875760071267 y[1] (numeric) 3.504875760071268 absolute error 8.881784197001252e-16 relative error 2.5341224069011372e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.37646608256649 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 3.5074628258413085 y[1] (numeric) 3.507462825841309 absolute error 4.440892098500626e-16 relative error 1.2661266331270163e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.03070014462918 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 3.5099831458849824 y[1] (numeric) 3.509983145884983 absolute error 4.440892098500626e-16 relative error 1.2652174993224735e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.69107790648819 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 3.5124374681640522 y[1] (numeric) 3.5124374681640527 absolute error 4.440892098500626e-16 relative error 1.2643334262180834e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.357370913238025 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 3.514826547240001 y[1] (numeric) 3.514826547240002 absolute error 8.881784197001252e-16 relative error 2.5269480805462866e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.029360925728202 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 3.5171511441985803 y[1] (numeric) 3.517151144198581 absolute error 8.881784197001252e-16 relative error 2.5252779402589648e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.70683933457039 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 3.519412026573697 y[1] (numeric) 3.519412026573698 absolute error 8.881784197001252e-16 relative error 2.5236556930357658e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.38960661349667 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 3.5216099682706647 y[1] (numeric) 3.5216099682706656 absolute error 8.881784197001252e-16 relative error 2.5220806043330163e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.077471809004006 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 3.523745749488812 y[1] (numeric) 3.5237457494888127 absolute error 8.881784197001252e-16 relative error 2.520551943422629e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.77025206348853 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 3.525820156643463 y[1] (numeric) 3.525820156643464 absolute error 8.881784197001252e-16 relative error 2.51906898321683e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.467772169317152 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 3.5278339822872984 y[1] (numeric) 3.5278339822872993 absolute error 8.881784197001252e-16 relative error 2.5176310000967448e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.169864151502582 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 3.5297880250310985 y[1] (numeric) 3.5297880250310993 absolute error 8.881784197001252e-16 relative error 2.5162372737447886e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.876366876846797 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 3.5316830894638835 y[1] (numeric) 3.5316830894638844 absolute error 8.881784197001252e-16 relative error 2.514887086980821e-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] 0.9600000000000007 y[1] (analytic) 3.5335199860724567 y[1] (numeric) 3.5335199860724575 absolute error 8.881784197001252e-16 relative error 2.513579725602018e-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] 0.9700000000000008 y[1] (analytic) 3.535299531160354 y[1] (numeric) 3.535299531160355 absolute error 8.881784197001252e-16 relative error 2.5123144782264258e-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] 0.9800000000000008 y[1] (analytic) 3.5370225467662175 y[1] (numeric) 3.537022546766218 absolute error 4.440892098500626e-16 relative error 1.2555453180700775e-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] 0.9900000000000008 y[1] (analytic) 3.5386898605815875 y[1] (numeric) 3.5386898605815884 absolute error 8.881784197001252e-16 relative error 2.5099074931481906e-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] 1.0000000000000007 y[1] (analytic) 3.54030230586814 y[1] (numeric) 3.5403023058681407 absolute error 4.440892098500626e-16 relative error 1.2543821727143854e-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] 1.0100000000000007 y[1] (analytic) 3.5418607213743556 y[1] (numeric) 3.5418607213743565 absolute error 8.881784197001252e-16 relative error 2.5076604913913258e-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] 1.0200000000000007 y[1] (analytic) 3.5433659512516495 y[1] (numeric) 3.5433659512516504 absolute error 8.881784197001252e-16 relative error 2.5065952315379317e-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] 1.0300000000000007 y[1] (analytic) 3.5448188449699556 y[1] (numeric) 3.544818844969956 absolute error 4.440892098500626e-16 relative error 1.252783934164135e-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] 1.0400000000000007 y[1] (analytic) 3.546220257232778 y[1] (numeric) 3.546220257232779 absolute error 8.881784197001252e-16 relative error 2.5045777060480654e-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] 1.0500000000000007 y[1] (analytic) 3.547571047891727 y[1] (numeric) 3.5475710478917275 absolute error 4.440892098500626e-16 relative error 1.2518120253404896e-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] 1.0600000000000007 y[1] (analytic) 3.5488720818605275 y[1] (numeric) 3.548872081860528 absolute error 4.440892098500626e-16 relative error 1.2513531048919772e-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] 1.0700000000000007 y[1] (analytic) 3.550124229028534 y[1] (numeric) 3.5501242290285346 absolute error 4.440892098500626e-16 relative error 1.2509117461829903e-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] 1.0800000000000007 y[1] (analytic) 3.55132836417374 y[1] (numeric) 3.5513283641737403 absolute error 4.440892098500626e-16 relative error 1.2504876043851422e-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] 1.0900000000000007 y[1] (analytic) 3.552485366875301 y[1] (numeric) 3.552485366875301 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 3.553596121425578 y[1] (numeric) 3.553596121425578 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 3.554661516741707 y[1] (numeric) 3.554661516741707 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 3.5556824462767125 y[1] (numeric) 3.5556824462767125 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 3.5566598079301572 y[1] (numeric) 3.5566598079301577 absolute error 4.440892098500626e-16 relative error 1.2486131197026288e-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] 1.1400000000000008 y[1] (analytic) 3.5575945039583585 y[1] (numeric) 3.5575945039583585 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 3.5584874408841576 y[1] (numeric) 3.5584874408841576 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 3.559339529406273 y[1] (numeric) 3.5593395294062735 absolute error 4.440892098500626e-16 relative error 1.2476730758083659e-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] 1.1700000000000008 y[1] (analytic) 3.5601516843082304 y[1] (numeric) 3.5601516843082304 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1800000000000008 y[1] (analytic) 3.5609248243668814 y[1] (numeric) 3.560924824366882 absolute error 4.440892098500626e-16 relative error 1.2471176218358386e-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] 1.1900000000000008 y[1] (analytic) 3.561659872260533 y[1] (numeric) 3.561659872260533 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2000000000000008 y[1] (analytic) 3.5623577544766736 y[1] (numeric) 3.5623577544766736 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2100000000000009 y[1] (analytic) 3.5630194012193304 y[1] (numeric) 3.5630194012193304 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 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2200000000000009 y[1] (analytic) 3.5636457463160474 y[1] (numeric) 3.563645746316047 absolute error 4.440892098500626e-16 relative error 1.2461654200874036e-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] 1.2300000000000009 y[1] (analytic) 3.5642377271245027 y[1] (numeric) 3.5642377271245027 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 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) 3.564796284438776 y[1] (numeric) 3.5647962844387764 absolute error 4.440892098500626e-16 relative error 1.245763220155448e-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] 1.2500000000000009 y[1] (analytic) 3.5653223623952686 y[1] (numeric) 3.565322362395269 absolute error 4.440892098500626e-16 relative error 1.2455794026762642e-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] 1.260000000000001 y[1] (analytic) 3.565816908378289 y[1] (numeric) 3.56581690837829 absolute error 8.881784197001252e-16 relative error 2.4908133045565237e-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] 1.270000000000001 y[1] (analytic) 3.5662808729253186 y[1] (numeric) 3.566280872925319 absolute error 4.440892098500626e-16 relative error 1.2452446278741609e-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] 1.280000000000001 y[1] (analytic) 3.5667152096319557 y[1] (numeric) 3.5667152096319557 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 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) 3.5671208750565575 y[1] (numeric) 3.567120875056558 absolute error 4.440892098500626e-16 relative error 1.2449513919065652e-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] 1.300000000000001 y[1] (analytic) 3.5674988286245872 y[1] (numeric) 3.5674988286245877 absolute error 4.440892098500626e-16 relative error 1.2448194973094824e-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] 1.310000000000001 y[1] (analytic) 3.56785003253267 y[1] (numeric) 3.56785003253267 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 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) 3.5681754516523734 y[1] (numeric) 3.568175451652373 absolute error 4.440892098500626e-16 relative error 1.2445834457058745e-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] 1.330000000000001 y[1] (analytic) 3.568476053433723 y[1] (numeric) 3.568476053433723 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 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) 3.568752807808459 y[1] (numeric) 3.5687528078084596 absolute error 4.440892098500626e-16 relative error 1.2443820958358111e-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] 1.350000000000001 y[1] (analytic) 3.5690066870930415 y[1] (numeric) 3.569006687093042 absolute error 4.440892098500626e-16 relative error 1.244293577414879e-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] 1.360000000000001 y[1] (analytic) 3.5692386658914197 y[1] (numeric) 3.5692386658914197 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 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) 3.569449720997573 y[1] (numeric) 3.5694497209975733 absolute error 4.440892098500626e-16 relative error 1.2441391378555423e-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] 1.380000000000001 y[1] (analytic) 3.5696408312978347 y[1] (numeric) 3.5696408312978347 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 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) 3.5698129776729997 y[1] (numeric) 3.5698129776729997 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 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) 3.569967142900241 y[1] (numeric) 3.569967142900241 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 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) 3.5701043115548314 y[1] (numeric) 3.5701043115548314 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 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) 3.570225469911686 y[1] (numeric) 3.570225469911686 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 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) 3.5703316058467367 y[1] (numeric) 3.570331605846737 absolute error 4.440892098500626e-16 relative error 1.243831830978464e-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] 1.440000000000001 y[1] (analytic) 3.5704237087381454 y[1] (numeric) 3.570423708738146 absolute error 4.440892098500626e-16 relative error 1.243799745008449e-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] 1.450000000000001 y[1] (analytic) 3.5705027693673665 y[1] (numeric) 3.570502769367367 absolute error 4.440892098500626e-16 relative error 1.2437722039037875e-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] 1.460000000000001 y[1] (analytic) 3.5705697798200697 y[1] (numeric) 3.57056977982007 absolute error 4.440892098500626e-16 relative error 1.2437488614840666e-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] 1.470000000000001 y[1] (analytic) 3.570625733386932 y[1] (numeric) 3.5706257333869322 absolute error 4.440892098500626e-16 relative error 1.2437293712909529e-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] 1.480000000000001 y[1] (analytic) 3.5706716244643095 y[1] (numeric) 3.57067162446431 absolute error 4.440892098500626e-16 relative error 1.243713386600447e-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] 1.490000000000001 y[1] (analytic) 3.5707084484548006 y[1] (numeric) 3.570708448454801 absolute error 4.440892098500626e-16 relative error 1.2437005604370728e-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] 1.500000000000001 y[1] (analytic) 3.5707372016677033 y[1] (numeric) 3.5707372016677033 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 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) 3.570758881219386 y[1] (numeric) 3.5707588812193864 absolute error 4.440892098500626e-16 relative error 1.2436829946311291e-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] 1.5200000000000011 y[1] (analytic) 3.5707744849335796 y[1] (numeric) 3.5707744849335796 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 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) 3.570785011241591 y[1] (numeric) 3.5707850112415915 absolute error 4.440892098500626e-16 relative error 1.2436738937011757e-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] 1.5400000000000011 y[1] (analytic) 3.570791459082466 y[1] (numeric) 3.5707914590824665 absolute error 4.440892098500626e-16 relative error 1.243671647977375e-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] 1.5500000000000012 y[1] (analytic) 3.5707948278030925 y[1] (numeric) 3.570794827803093 absolute error 4.440892098500626e-16 relative error 1.2436704746861233e-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] 1.5600000000000012 y[1] (analytic) 3.5707961170582676 y[1] (numeric) 3.570796117058268 absolute error 4.440892098500626e-16 relative error 1.2436700256521984e-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] 1.5700000000000012 y[1] (analytic) 3.570796326710733 y[1] (numeric) 3.570796326710734 absolute error 8.881784197001252e-16 relative error 2.4873399052649908e-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] 1.5800000000000012 y[1] (analytic) 3.570796456731192 y[1] (numeric) 3.5707964567311925 absolute error 4.440892098500626e-16 relative error 1.2436699073477698e-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 0.008874468381578252 Order of pole (three term test) -0.8949050896709201 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 3.570797507098307 y[1] (numeric) 3.570797507098308 absolute error 8.881784197001252e-16 relative error 2.4873390830326714e-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 0.01851326600938967 Order of pole (three term test) -0.901772189378976 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 3.570800477698711 y[1] (numeric) 3.570800477698712 absolute error 8.881784197001252e-16 relative error 2.487337013779424e-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 0.028144643333266314 Order of pole (three term test) -0.9134710156510109 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 3.5708063682270126 y[1] (numeric) 3.570806368227013 absolute error 4.440892098500626e-16 relative error 1.2436664552902181e-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 0.03776474002241432 Order of pole (three term test) -0.9299968698555368 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 3.5708161780858294 y[1] (numeric) 3.5708161780858303 absolute error 8.881784197001252e-16 relative error 2.4873260773010215e-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 0.04736970029524609 Order of pole (three term test) -0.9513431147005369 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 3.5708309062858516 y[1] (numeric) 3.5708309062858525 absolute error 8.881784197001252e-16 relative error 2.487315818110108e-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 0.05695567447425488 Order of pole (three term test) -0.9775011769318743 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 3.570851551345938 y[1] (numeric) 3.570851551345939 absolute error 8.881784197001252e-16 relative error 2.4873014375670415e-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 0.06651882053836847 Order of pole (three term test) -1.0084605508186815 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 3.570879111193266 y[1] (numeric) 3.570879111193267 absolute error 1.3322676295501878e-15 relative error 3.730923361068332e-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 0.07605530567213967 Order of pole (three term test) -1.0442088024242429 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 3.5709145830635407 y[1] (numeric) 3.570914583063542 absolute error 1.3322676295501878e-15 relative error 3.7308862997423357e-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 0.08556130781113587 Order of pole (three term test) -1.0847315746605615 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 3.5709589634012717 y[1] (numeric) 3.570958963401273 absolute error 1.3322676295501878e-15 relative error 3.730839931807079e-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 0.09503301718288724 Order of pole (three term test) -1.1300125931244465 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 3.5710132477601286 y[1] (numeric) 3.57101324776013 absolute error 1.3322676295501878e-15 relative error 3.7307832178607436e-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 0.10446663784276024 Order of pole (three term test) -1.1800336727126426 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 3.5710784307033876 y[1] (numeric) 3.571078430703389 absolute error 1.3322676295501878e-15 relative error 3.7307151198238287e-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 0.11385838920412135 Order of pole (three term test) -1.2347747250131897 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 3.5711555057044753 y[1] (numeric) 3.5711555057044766 absolute error 1.3322676295501878e-15 relative error 3.7306346011033585e-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 0.12320450756215928 Order of pole (three term test) -1.2942137664698512 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 3.5712454650476224 y[1] (numeric) 3.5712454650476237 absolute error 1.3322676295501878e-15 relative error 3.730540626762608e-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 0.13250124761074028 Order of pole (three term test) -1.3583269273161624 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 3.5713492997286362 y[1] (numeric) 3.5713492997286376 absolute error 1.3322676295501878e-15 relative error 3.7304321636962766e-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 0.14174488395166784 Order of pole (three term test) -1.4270884612752712 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 3.5714679993558023 y[1] (numeric) 3.5714679993558036 absolute error 1.3322676295501878e-15 relative error 3.7303081808110654e-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 0.15093171259572805 Order of pole (three term test) -1.5004707560214683 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 3.5716025520509227 y[1] (numeric) 3.5716025520509245 absolute error 1.7763568394002505e-15 relative error 4.9735568656154433e-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 0.16005805245490146 Order of pole (three term test) -1.5784443443989504 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 3.571753944350508 y[1] (numeric) 3.5717539443505095 absolute error 1.3322676295501878e-15 relative error 3.730009542391501e-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 0.16912024682512733 Order of pole (three term test) -1.660977916393046 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 3.5719231611071196 y[1] (numeric) 3.5719231611071214 absolute error 1.7763568394002505e-15 relative error 4.973110448573221e-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 0.17811466485901056 Order of pole (three term test) -1.748038331848822 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 3.572111185390891 y[1] (numeric) 3.5721111853908925 absolute error 1.3322676295501878e-15 relative error 3.7296365101927803e-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 0.1870377030278668 Order of pole (three term test) -1.8395906339316739 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 3.572318998391216 y[1] (numeric) 3.572318998391218 absolute error 1.7763568394002505e-15 relative error 4.972559394052513e-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 0.1958857865725053 Order of pole (three term test) -1.9355980633241854 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 3.5725475793186354 y[1] (numeric) 3.5725475793186368 absolute error 1.3322676295501878e-15 relative error 3.729180927533738e-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 0.20465537094215178 Order of pole (three term test) -2.0360220731532146 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 3.572797905306913 y[1] (numeric) 3.5727979053069143 absolute error 1.3322676295501878e-15 relative error 3.7289196446607926e-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 0.21334294322092445 Order of pole (three term test) -2.1408223446409056 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 3.5730709513153256 y[1] (numeric) 3.573070951315327 absolute error 1.3322676295501878e-15 relative error 3.7286346890473895e-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 0.22194502354127854 Order of pole (three term test) -2.249956803472989 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 3.573367690031166 y[1] (numeric) 3.5733676900311675 absolute error 1.3322676295501878e-15 relative error 3.728325056687822e-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 0.23045816648383566 Order of pole (three term test) -2.3633816368773912 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 3.5736890917724775 y[1] (numeric) 3.573689091772479 absolute error 1.3322676295501878e-15 relative error 3.727989747673909e-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 0.2388789624630327 Order of pole (three term test) -2.481051311405986 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 3.5740361243910197 y[1] (numeric) 3.574036124391021 absolute error 1.3322676295501878e-15 relative error 3.727627766429454e-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 0.24720403909801902 Order of pole (three term test) -2.602918591411918 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 3.5744097531754875 y[1] (numeric) 3.5744097531754884 absolute error 8.881784197001252e-16 relative error 2.4848254146326454e-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 0.2554300625682415 Order of pole (three term test) -2.7289345582146747 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 3.574810940754979 y[1] (numeric) 3.5748109407549804 absolute error 1.3322676295501878e-15 relative error 3.726819828040531e-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 0.2635537389531722 Order of pole (three term test) -2.859048629944887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 3.5752406470027394 y[1] (numeric) 3.5752406470027402 absolute error 8.881784197001252e-16 relative error 2.484247935715094e-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 0.2715718155556203 Order of pole (three term test) -2.993208582060332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 3.5756998289401665 y[1] (numeric) 3.575699828940168 absolute error 1.3322676295501878e-15 relative error 3.725893372724943e-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 0.2794810822081011 Order of pole (three term test) -3.131360568524605 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 3.5761894406411177 y[1] (numeric) 3.5761894406411185 absolute error 8.881784197001252e-16 relative error 2.483588843495097e-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 0.28727837256172556 Order of pole (three term test) -3.2734491436394726 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 3.5767104331364967 y[1] (numeric) 3.5767104331364976 absolute error 8.881784197001252e-16 relative error 2.4832270777963478e-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 0.29496056535708703 Order of pole (three term test) -3.419417284521679 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 3.577263754319155 y[1] (numeric) 3.577263754319156 absolute error 8.881784197001252e-16 relative error 2.482842979156197e-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 0.30252458567663315 Order of pole (three term test) -3.569206414214798 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 3.577850348849102 y[1] (numeric) 3.5778503488491027 absolute error 8.881784197001252e-16 relative error 2.4824359129101873e-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 0.30996740617800966 Order of pole (three term test) -3.722756425426299 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 3.57847115805904 y[1] (numeric) 3.578471158059041 absolute error 8.881784197001252e-16 relative error 2.4820052488053934e-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 0.31728604830788615 Order of pole (three term test) -3.8800057048799785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 3.5791271198602326 y[1] (numeric) 3.5791271198602335 absolute error 8.881784197001252e-16 relative error 2.4815503611808267e-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 0.3244775834957641 Order of pole (three term test) -4.040891158273372 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 3.5798191686487133 y[1] (numeric) 3.5798191686487137 absolute error 4.440892098500626e-16 relative error 1.2405353145748267e-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 0.331539134327293 Order of pole (three term test) -4.205348235829766 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 3.580548235211846 y[1] (numeric) 3.5805482352118463 absolute error 4.440892098500626e-16 relative error 1.240282718391553e-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 0.3384678756966183 Order of pole (three term test) -4.373310958434025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 3.5813152466352483 y[1] (numeric) 3.5813152466352487 absolute error 4.440892098500626e-16 relative error 1.2400170866479783e-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 0.34526103593730045 Order of pole (three term test) -4.544711944341315 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 3.582121126210084 y[1] (numeric) 3.582121126210085 absolute error 8.881784197001252e-16 relative error 2.4794762332334246e-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 0.3519158979313488 Order of pole (three term test) -4.719482436447492 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 3.5829667933407343 y[1] (numeric) 3.582966793340735 absolute error 8.881784197001252e-16 relative error 2.4788910166593913e-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 0.35842980019592957 Order of pole (three term test) -4.89755233010979 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 3.583853163452858 y[1] (numeric) 3.5838531634528583 absolute error 4.440892098500626e-16 relative error 1.2391389646728874e-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 0.3648001379473069 Order of pole (three term test) -5.078850201506021 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 3.5847811479018477 y[1] (numeric) 3.584781147901848 absolute error 4.440892098500626e-16 relative error 1.2388181914814676e-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 0.3710243641416041 Order of pole (three term test) -5.263303336520731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 3.5857516538816996 y[1] (numeric) 3.5857516538817 absolute error 4.440892098500626e-16 relative error 1.2384828976354811e-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 0.3770999904919557 Order of pole (three term test) -5.4508377601458635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 3.586765584334291 y[1] (numeric) 3.5867655843342914 absolute error 4.440892098500626e-16 relative error 1.2381327951558514e-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 0.38302458846165965 Order of pole (three term test) -5.64137826638401 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 3.587823837859088 y[1] (numeric) 3.5878238378590885 absolute error 4.440892098500626e-16 relative error 1.2377675993006886e-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 0.3887957902329273 Order of pole (three term test) -5.834848448641552 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 3.588927308623287 y[1] (numeric) 3.5889273086232873 absolute error 4.440892098500626e-16 relative error 1.2373870286618184e-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 0.3944112896508517 Order of pole (three term test) -6.031170730599169 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 3.590076886272398 y[1] (numeric) 3.590076886272398 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 0.39986884314222026 Order of pole (three term test) -6.230266397546771 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 3.59127345584128 y[1] (numeric) 3.59127345584128 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 0.4051662706088129 Order of pole (three term test) -6.43205562816998 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 3.5925178976656404 y[1] (numeric) 3.5925178976656404 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 0.41030145629482817 Order of pole (three term test) -6.63645752677471 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 3.593811087294001 y[1] (numeric) 3.5938110872940006 absolute error 4.440892098500626e-16 relative error 1.2357054922006053e-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 0.41527234962810694 Order of pole (three term test) -6.8433901559367865 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 3.5951538954001423 y[1] (numeric) 3.5951538954001423 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 0.4200769660348201 Order of pole (three term test) -7.052770569562899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 3.59654718769604 y[1] (numeric) 3.59654718769604 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 0.424713387727301 Order of pole (three term test) -7.2645148463491385 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 3.5979918248452925 y[1] (numeric) 3.5979918248452925 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 0.4291797644647234 Order of pole (three term test) -7.478538123623476 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 3.599488662377055 y[1] (numeric) 3.599488662377055 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 0.433474314286327 Order of pole (three term test) -7.694754631558116 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 3.6010385506004883 y[1] (numeric) 3.6010385506004883 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 0.437595324216908 Order of pole (three term test) -7.9130777277375355 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 3.6026423345197287 y[1] (numeric) 3.6026423345197287 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 0.4415411509443062 Order of pole (three term test) -8.133419932068065 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 3.604300853749387 y[1] (numeric) 3.604300853749387 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 0.4453102214686289 Order of pole (three term test) -8.35569296201466 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 3.6060149424305896 y[1] (numeric) 3.6060149424305896 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 0.4489010337229652 Order of pole (three term test) -8.579807768150248 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 3.6077854291475626 y[1] (numeric) 3.607785429147563 absolute error 4.440892098500626e-16 relative error 1.2309191291206882e-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 0.4523121571653566 Order of pole (three term test) -8.80567457000324 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 3.6096131368447777 y[1] (numeric) 3.6096131368447777 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 0.4555422333417981 Order of pole (three term test) -9.0332028921882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 3.6114988827446535 y[1] (numeric) 3.611498882744654 absolute error 4.440892098500626e-16 relative error 1.2296534604285004e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.830019744091002 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45858997642006555 Order of pole (three term test) -9.26230160080532 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 3.6134434782658396 y[1] (numeric) 3.6134434782658396 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.122828980062188 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4614541736941656 Order of pole (three term test) -9.492878940093359 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 3.61544772894207 y[1] (numeric) 3.61544772894207 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.420023903190474 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46413368605922356 Order of pole (three term test) -9.724842569321325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 3.617512434341614 y[1] (numeric) 3.6175124343416143 absolute error 4.440892098500626e-16 relative error 1.2276093528642887e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.721764591441373 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4666274484566381 Order of pole (three term test) -9.958099599903804 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 3.6196383879873197 y[1] (numeric) 3.6196383879873197 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.028217904630887 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46893447028933793 Order of pole (three term test) -10.192556632724665 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 3.62182637727726 y[1] (numeric) 3.62182637727726 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.339557871251518 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47105383580699434 Order of pole (three term test) -10.428119795654192 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 3.6240771834059964 y[1] (numeric) 3.624077183405997 absolute error 4.440892098500626e-16 relative error 1.2253856288808305e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.65596610144359 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4729847044610516 Order of pole (three term test) -10.664694781244089 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 3.6263915812864584 y[1] (numeric) 3.626391581286459 absolute error 4.440892098500626e-16 relative error 1.2246035760223182e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.977632228217344 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.474726311229453 Order of pole (three term test) -10.902186884585332 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 3.628770339472453 y[1] (numeric) 3.6287703394724535 absolute error 4.440892098500626e-16 relative error 1.2238008148915366e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.30475437922631 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4762779669109482 Order of pole (three term test) -11.140501041313287 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 3.631214220081811 y[1] (numeric) 3.6312142200818114 absolute error 4.440892098500626e-16 relative error 1.222977172192439e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.637539681608544 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4776390583888867 Order of pole (three term test) -11.37954186574483 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 3.6337239787201745 y[1] (numeric) 3.633723978720175 absolute error 4.440892098500626e-16 relative error 1.2221324802069151e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.97620480265129 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47880904886440695 Order of pole (three term test) -11.619213689131941 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 3.6363003644054377 y[1] (numeric) 3.636300364405438 absolute error 4.440892098500626e-16 relative error 1.2212665768678174e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.32097652929946 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47978747805895033 Order of pole (three term test) -11.859420598016396 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 3.638944119492846 y[1] (numeric) 3.6389441194928462 absolute error 4.440892098500626e-16 relative error 1.2203793058299413e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.67209238982252 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4805739623860377 Order of pole (three term test) -12.100066472670058 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 3.64165597960076 y[1] (numeric) 3.6416559796007606 absolute error 4.440892098500626e-16 relative error 1.2194705165388762e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.02980132128031 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4811681950922577 Order of pole (three term test) -12.3410550256052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 3.644436673537096 y[1] (numeric) 3.6444366735370965 absolute error 4.440892098500626e-16 relative error 1.2185400642976553e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.39436438679251 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48156994636743294 Order of pole (three term test) -12.582289840139438 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 3.6472869232264444 y[1] (numeric) 3.647286923226445 absolute error 4.440892098500626e-16 relative error 1.2175878103311233e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.766055547019743 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4817790634239389 Order of pole (three term test) -12.823674408999718 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 3.6502074436378775 y[1] (numeric) 3.650207443637878 absolute error 4.440892098500626e-16 relative error 1.2166136218479504e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.145162490716583 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48179547054516353 Order of pole (three term test) -13.065112172949945 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 3.653198942713455 y[1] (numeric) 3.6531989427134555 absolute error 4.440892098500626e-16 relative error 1.2156173721002183e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.45526533957687 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48161916910310965 Order of pole (three term test) -13.306506559426595 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 3.6562621212974293 y[1] (numeric) 3.65626212129743 absolute error 4.440892098500626e-16 relative error 1.2145989404405092e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.069748975804067 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4812502375451523 Order of pole (three term test) -13.547761021167009 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 3.6593976730661604 y[1] (numeric) 3.6593976730661613 absolute error 8.881784197001252e-16 relative error 2.427116424752854e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.691515117292617 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4806888313499766 Order of pole (three term test) -13.788779074814867 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 3.662606284458752 y[1] (numeric) 3.662606284458753 absolute error 8.881784197001252e-16 relative error 2.424990159244969e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.320285793468468 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4799351829527357 Order of pole (three term test) -14.02946433948729 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 3.665888634608405 y[1] (numeric) 3.6658886346084056 absolute error 4.440892098500626e-16 relative error 1.2114094401492935e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.9557959866648 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4789896016394763 Order of pole (three term test) -14.26972057528845 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 3.6692453952745065 y[1] (numeric) 3.669245395274507 absolute error 4.440892098500626e-16 relative error 1.2103011982299948e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.59779286390787 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47785247341089676 Order of pole (three term test) -14.509451721754068 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 3.6726772307754536 y[1] (numeric) 3.672677230775454 absolute error 4.440892098500626e-16 relative error 1.2091702644838655e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.24603506219555 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47652426081551097 Order of pole (three term test) -14.748561936211733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 3.676184797922223 y[1] (numeric) 3.6761847979222235 absolute error 4.440892098500626e-16 relative error 1.2080165559170515e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.900292022956116 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47500550275230335 Order of pole (three term test) -14.986955632041594 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 3.6797687459526895 y[1] (numeric) 3.6797687459526904 absolute error 8.881784197001252e-16 relative error 2.4136799919207328e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.560343371767242 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47329681424297804 Order of pole (three term test) -15.224537516822409 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 3.683429716466704 y[1] (numeric) 3.6834297164667045 absolute error 4.440892098500626e-16 relative error 1.2056405145041048e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.22597833976715 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4713988861739058 Order of pole (three term test) -15.461212630347855 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 3.6871683433619316 y[1] (numeric) 3.6871683433619324 absolute error 8.881784197001252e-16 relative error 2.408836095859651e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.896995223508176 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46931248500789957 Order of pole (three term test) -15.696886382497711 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 3.6909852527704654 y[1] (numeric) 3.6909852527704663 absolute error 8.881784197001252e-16 relative error 2.4063450782780985e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.573200880287127 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46703845246594455 Order of pole (three term test) -15.931464590949561 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 3.6948810629962123 y[1] (numeric) 3.694881062996213 absolute error 8.881784197001252e-16 relative error 2.403807875157674e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.254410256246732 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4645777051790352 Order of pole (three term test) -16.164853518715468 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 3.6988563844530624 y[1] (numeric) 3.6988563844530638 absolute error 1.3322676295501878e-15 relative error 3.601836597792606e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.940445944773503 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4619312343102737 Order of pole (three term test) -16.39695991148932 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 3.70291181960385 y[1] (numeric) 3.7029118196038513 absolute error 1.3322676295501878e-15 relative error 3.597891860391961e-14% Correct digits 16 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.63113777292888 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.45910010514739913 Order of pole (three term test) -16.627691034789873 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 3.707047962900106 y[1] (numeric) 3.7070479629001074 absolute error 1.3322676295501878e-15 relative error 3.5938775081505155e-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 0.456085456665929 Order of pole (three term test) -16.85695471088499 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 3.7112654007226142 y[1] (numeric) 3.7112654007226156 absolute error 1.3322676295501878e-15 relative error 3.589793468531742e-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 0.4528885010631033 Order of pole (three term test) -17.084659355482593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 3.715564711322773 y[1] (numeric) 3.715564711322775 absolute error 1.7763568394002505e-15 relative error 4.780852918499842e-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 0.44951052326283714 Order of pole (three term test) -17.31071401417381 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 3.719946464764773 y[1] (numeric) 3.719946464764775 absolute error 1.7763568394002505e-15 relative error 4.7752215152176296e-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 0.44595288039189196 Order of pole (three term test) -17.535028398614298 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 3.7244112228685875 y[1] (numeric) 3.7244112228685893 absolute error 1.7763568394002505e-15 relative error 4.7694970643764695e-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 0.44221700122749547 Order of pole (three term test) -17.757512922429243 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 3.7289595391537933 y[1] (numeric) 3.728959539153795 absolute error 1.7763568394002505e-15 relative error 4.7636795753577854e-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 0.43830438561664137 Order of pole (three term test) -17.97807873682837 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 3.7335919587842192 y[1] (numeric) 3.733591958784221 absolute error 1.7763568394002505e-15 relative error 4.7577690840610525e-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 0.4342166038673214 Order of pole (three term test) -18.196637765916748 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 3.738309018513429 y[1] (numeric) 3.738309018513431 absolute error 1.7763568394002505e-15 relative error 4.751765652874342e-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 0.4299552961119409 Order of pole (three term test) -18.413102741687933 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 3.743111246631047 y[1] (numeric) 3.743111246631049 absolute error 2.220446049250313e-15 relative error 5.932086713289126e-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 0.425522171643193 Order of pole (three term test) -18.627387238685515 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 3.747999162909931 y[1] (numeric) 3.7479991629099327 absolute error 1.7763568394002505e-15 relative error 4.7394803525545465e-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 0.42091900822266254 Order of pole (three term test) -18.839405708319887 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 3.7529732785541916 y[1] (numeric) 3.752973278554194 absolute error 2.220446049250313e-15 relative error 5.916498425231862e-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 0.41614765136245496 Order of pole (three term test) -19.049073512826734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 3.7580340961480774 y[1] (numeric) 3.7580340961480796 absolute error 2.220446049250313e-15 relative error 5.908530876625717e-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 0.41121001358014636 Order of pole (three term test) -19.256306958854132 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 3.763182109605712 y[1] (numeric) 3.7631821096057148 absolute error 2.6645352591003757e-15 relative error 7.08053764472098e-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 0.4061080736273622 Order of pole (three term test) -19.46102333066521 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 3.7684178041217073 y[1] (numeric) 3.76841780412171 absolute error 2.6645352591003757e-15 relative error 7.070700218500295e-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 0.40084387569230595 Order of pole (three term test) -19.66314092294364 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 3.7737416561226413 y[1] (numeric) 3.773741656122644 absolute error 2.6645352591003757e-15 relative error 7.060725142054562e-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 0.3954195285765659 Order of pole (three term test) -19.862579073189096 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 3.7791541332194165 y[1] (numeric) 3.779154133219419 absolute error 2.6645352591003757e-15 relative error 7.050612822797174e-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 0.38983720484653456 Order of pole (three term test) -20.059258193690496 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 3.7846556941605005 y[1] (numeric) 3.7846556941605036 absolute error 3.1086244689504383e-15 relative error 8.213757657656577e-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 0.384099139959796 Order of pole (three term test) -20.253099803064195 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 3.7902467887860514 y[1] (numeric) 3.790246788786054 absolute error 2.6645352591003757e-15 relative error 7.029978277361139e-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 0.378207631366827 Order of pole (three term test) -20.444026557345563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 3.795927857982931 y[1] (numeric) 3.7959278579829343 absolute error 3.1086244689504383e-15 relative error 8.189366566629877e-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 0.3721650375883891 Order of pole (three term test) -20.631962280621593 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 3.801699333640622 y[1] (numeric) 3.801699333640625 absolute error 3.1086244689504383e-15 relative error 8.176934039582572e-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 0.3659737772689778 Order of pole (three term test) -20.816831995192885 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 3.8075616386080338 y[1] (numeric) 3.8075616386080373 absolute error 3.552713678800501e-15 relative error 9.330679358612563e-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 0.3596363282067169 Order of pole (three term test) -20.99856195125352 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 3.8135151866512222 y[1] (numeric) 3.813515186651226 absolute error 3.552713678800501e-15 relative error 9.316112575705408e-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 0.3531552263600885 Order of pole (three term test) -21.17707965607731 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 3.8195603824120106 y[1] (numeric) 3.8195603824120146 absolute error 3.9968028886505635e-15 relative error 1.046403902149238e-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 0.3465330648319009 Order of pole (three term test) -21.352313902699322 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 3.8256976213675276 y[1] (numeric) 3.8256976213675316 absolute error 3.9968028886505635e-15 relative error 1.0447252460119608e-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 0.33977249283090244 Order of pole (three term test) -21.5241947980817 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 3.831927289790658 y[1] (numeric) 3.8319272897906624 absolute error 4.440892098500626e-15 relative error 1.1589186752923062e-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 0.33287621461145683 Order of pole (three term test) -21.69265379075306 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 3.838249764711418 y[1] (numeric) 3.838249764711423 absolute error 4.884981308350689e-15 relative error 1.272710638391186e-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 0.3258469883917098 Order of pole (three term test) -21.85762369791079 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 3.8446654138792513 y[1] (numeric) 3.844665413879256 absolute error 4.884981308350689e-15 relative error 1.2705868476138118e-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 0.31868762525067273 Order of pole (three term test) -22.019038731976075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 3.8511745957262535 y[1] (numeric) 3.8511745957262584 absolute error 4.884981308350689e-15 relative error 1.2684393259582873e-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 0.31140098800467386 Order of pole (three term test) -22.17683452659138 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 3.8577776593313313 y[1] (numeric) 3.857777659331336 absolute error 4.884981308350689e-15 relative error 1.2662682351676542e-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 0.30398999006361316 Order of pole (three term test) -22.330948162050653 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 3.8644749443852935 y[1] (numeric) 3.8644749443852984 absolute error 4.884981308350689e-15 relative error 1.264073743173854e-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 0.2964575942674875 Order of pole (three term test) -22.48131819015242 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 3.8712667811568817 y[1] (numeric) 3.871266781156887 absolute error 5.329070518200751e-15 relative error 1.3765702080103667e-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 0.28880681170363853 Order of pole (three term test) -22.627884658466485 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 3.8781534904597463 y[1] (numeric) 3.8781534904597517 absolute error 5.329070518200751e-15 relative error 1.3741257356910342e-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 0.2810407005052025 Order of pole (three term test) -22.77058913400488 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 3.885135383620362 y[1] (numeric) 3.8851353836203675 absolute error 5.329070518200751e-15 relative error 1.3716563239129285e-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 0.2731623646312278 Order of pole (three term test) -22.9093747262882 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 3.892212762446898 y[1] (numeric) 3.8922127624469036 absolute error 5.773159728050814e-15 relative error 1.4832590303777306e-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 0.2651749526289518 Order of pole (three term test) -23.04418610979856 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 3.8993859191990357 y[1] (numeric) 3.8993859191990414 absolute error 5.773159728050814e-15 relative error 1.4805304854864599e-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 0.25708165637871977 Order of pole (three term test) -23.174969545810626 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 3.906655136558744 y[1] (numeric) 3.9066551365587503 absolute error 6.217248937900877e-15 relative error 1.5914506708614843e-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 0.24888570982204408 Order of pole (three term test) -23.3016729035925 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 3.9140206876020125 y[1] (numeric) 3.9140206876020187 absolute error 6.217248937900877e-15 relative error 1.5884558192537234e-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 0.24059038767330337 Order of pole (three term test) -23.42424568096847 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 3.92148283577154 y[1] (numeric) 3.9214828357715468 absolute error 6.661338147750939e-15 relative error 1.698678389456814e-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 0.23219900411558989 Order of pole (three term test) -23.542639024235836 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 3.9290418348503957 y[1] (numeric) 3.929041834850403 absolute error 7.105427357601002e-15 relative error 1.808437694548384e-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 0.2237149114812163 Order of pole (three term test) -23.656805747428255 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 3.9366979289366375 y[1] (numeric) 3.9366979289366446 absolute error 7.105427357601002e-15 relative error 1.8049206431036192e-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 0.2151414989174014 Order of pole (three term test) -23.766700350918423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 3.944451352418903 y[1] (numeric) 3.9444513524189104 absolute error 7.549516567451064e-15 relative error 1.913958594728614e-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 0.206482191037655 Order of pole (three term test) -23.872279039353025 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 3.952302329952972 y[1] (numeric) 3.9523023299529796 absolute error 7.549516567451064e-15 relative error 1.9101566472372813e-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 0.19774044655939355 Order of pole (three term test) -23.973499738913258 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 3.9602510764393006 y[1] (numeric) 3.960251076439308 absolute error 7.549516567451064e-15 relative error 1.906322710791081e-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 0.1889197569283196 Order of pole (three term test) -24.07032211389434 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 3.9682977970015307 y[1] (numeric) 3.9682977970015383 absolute error 7.549516567451064e-15 relative error 1.9024571626543563e-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 0.18002364493009892 Order of pole (three term test) -24.162707582597825 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 3.976442686965978 y[1] (numeric) 3.976442686965986 absolute error 7.993605777301127e-15 relative error 2.0102404099781558e-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 0.1710556632898801 Order of pole (three term test) -24.250619332530842 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 3.9846859318421 y[1] (numeric) 3.984685931842108 absolute error 7.993605777301127e-15 relative error 2.0060817625357298e-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 0.1620193932602058 Order of pole (three term test) -24.33402233490634 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 3.9930277073039457 y[1] (numeric) 3.993027707303954 absolute error 8.43769498715119e-15 relative error 2.113107046995234e-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 0.15291844319786116 Order of pole (three term test) -24.412883358439075 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 4.001468179172587 y[1] (numeric) 4.001468179172596 absolute error 8.881784197001252e-15 relative error 2.2196313451223806e-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 0.14375644713021565 Order of pole (three term test) -24.487170982432144 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 4.010007503399537 y[1] (numeric) 4.010007503399546 absolute error 8.881784197001252e-15 relative error 2.214904632839615e-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 0.13453706331161822 Order of pole (three term test) -24.55685560914899 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.00999999999998 y[1] (analytic) 4.018645826051157 y[1] (numeric) 4.0186458260511655 absolute error 8.881784197001252e-15 relative error 2.2101435611529775e-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 0.1252639727704056 Order of pole (three term test) -24.621909475466534 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0199999999999796 y[1] (analytic) 4.027383283294045 y[1] (numeric) 4.027383283294054 absolute error 9.769962616701378e-15 relative error 2.425883490460935e-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 0.11594087784708727 Order of pole (three term test) -24.682306663804752 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0299999999999794 y[1] (analytic) 4.036220001381427 y[1] (numeric) 4.0362200013814356 absolute error 8.881784197001252e-15 relative error 2.2005203368402602e-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 0.1065715007242784 Order of pole (three term test) -24.73802311232888 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.039999999999979 y[1] (analytic) 4.045156096640522 y[1] (numeric) 4.0451560966405316 absolute error 9.769962616701378e-15 relative error 2.4152251194497226e-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 0.0971595819489492 Order of pole (three term test) -24.789036624420184 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.049999999999979 y[1] (analytic) 4.0541916754609195 y[1] (numeric) 4.054191675460929 absolute error 9.769962616701378e-15 relative error 2.4098423061338447e-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 0.08770887894756335 Order of pole (three term test) -24.835326877411994 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0599999999999787 y[1] (analytic) 4.063326834283934 y[1] (numeric) 4.063326834283944 absolute error 9.769962616701378e-15 relative error 2.4044245061136224e-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 0.07822316453468393 Order of pole (three term test) -24.8768754305875 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0699999999999785 y[1] (analytic) 4.072561659592962 y[1] (numeric) 4.072561659592972 absolute error 9.769962616701378e-15 relative error 2.398972301300369e-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 0.06870622541562325 Order of pole (three term test) -24.913665732436517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.0799999999999783 y[1] (analytic) 4.081896227904834 y[1] (numeric) 4.081896227904845 absolute error 1.0658141036401503e-14 relative error 2.6110759415047993e-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 0.05916186068371654 Order of pole (three term test) -24.945683127168348 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.089999999999978 y[1] (analytic) 4.091330605762166 y[1] (numeric) 4.0913306057621766 absolute error 1.0658141036401503e-14 relative error 2.6050549475006357e-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 0.049593880312803575 Order of pole (three term test) -24.972914860478436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.099999999999978 y[1] (analytic) 4.100864849726699 y[1] (numeric) 4.100864849726711 absolute error 1.1546319456101628e-14 relative error 2.815581561258018e-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 0.04000610364549957 Order of pole (three term test) -24.995350084566578 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1099999999999777 y[1] (analytic) 4.110499006373651 y[1] (numeric) 4.110499006373662 absolute error 1.1546319456101628e-14 relative error 2.80898242237698e-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 0.030402357877842158 Order of pole (three term test) -25.01297986240484 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1199999999999775 y[1] (analytic) 4.12023311228705 y[1] (numeric) 4.120233112287061 absolute error 1.1546319456101628e-14 relative error 2.802346163781137e-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 0.020786476540900222 Order of pole (three term test) -25.025797171253558 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.1299999999999772 y[1] (analytic) 4.130067194056084 y[1] (numeric) 4.130067194056095 absolute error 1.1546319456101628e-14 relative error 2.795673511733387e-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 0.011162297979932565 Order of pole (three term test) -25.03379690542423 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.139999999999977 y[1] (analytic) 4.140001268272437 y[1] (numeric) 4.140001268272449 absolute error 1.2434497875801753e-14 relative error 3.0035009822570636e-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 0.0015336638316842946 Order of pole (three term test) -25.03697587828805 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.149999999999977 y[1] (analytic) 4.150035341528635 y[1] (numeric) 4.150035341528647 absolute error 1.2434497875801753e-14 relative error 2.996239032321493e-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) 4.160169410417378 y[1] (numeric) 4.1601694104173905 absolute error 1.2434497875801753e-14 relative error 2.988940268794062e-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] 3.1699999999999764 y[1] (analytic) 4.17040346153189 y[1] (numeric) 4.170403461531903 absolute error 1.2434497875801753e-14 relative error 2.9816054946478156e-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] 3.179999999999976 y[1] (analytic) 4.180737471467254 y[1] (numeric) 4.180737471467268 absolute error 1.3322676295501878e-14 relative error 3.1866809113049157e-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] 3.189999999999976 y[1] (analytic) 4.191171406822756 y[1] (numeric) 4.19117140682277 absolute error 1.4210854715202004e-14 relative error 3.3906641689882527e-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] 3.1999999999999758 y[1] (analytic) 4.201705224205221 y[1] (numeric) 4.201705224205235 absolute error 1.4210854715202004e-14 relative error 3.3821636590153886e-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] 3.2099999999999755 y[1] (analytic) 4.212338870233356 y[1] (numeric) 4.212338870233371 absolute error 1.4210854715202004e-14 relative error 3.373625710795377e-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] 3.2199999999999753 y[1] (analytic) 4.223072281543086 y[1] (numeric) 4.223072281543101 absolute error 1.509903313490213e-14 relative error 3.575366967052013e-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] 3.229999999999975 y[1] (analytic) 4.233905384793892 y[1] (numeric) 4.233905384793907 absolute error 1.509903313490213e-14 relative error 3.566218836427105e-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] 3.239999999999975 y[1] (analytic) 4.244838096676142 y[1] (numeric) 4.244838096676157 absolute error 1.509903313490213e-14 relative error 3.557033929450738e-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] 3.2499999999999747 y[1] (analytic) 4.255870323919426 y[1] (numeric) 4.255870323919441 absolute error 1.509903313490213e-14 relative error 3.5478132522131775e-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] 3.2599999999999745 y[1] (analytic) 4.267001963301879 y[1] (numeric) 4.267001963301895 absolute error 1.5987211554602254e-14 relative error 3.7467082724825083e-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] 3.2699999999999743 y[1] (analytic) 4.278232901660506 y[1] (numeric) 4.278232901660522 absolute error 1.5987211554602254e-14 relative error 3.7368726579605224e-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] 3.279999999999974 y[1] (analytic) 4.289563015902497 y[1] (numeric) 4.289563015902514 absolute error 1.687538997430238e-14 relative error 3.9340580641293836e-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] 3.289999999999974 y[1] (analytic) 4.300992173017537 y[1] (numeric) 4.300992173017554 absolute error 1.687538997430238e-14 relative error 3.9236039721650456e-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] 3.2999999999999736 y[1] (analytic) 4.3125202300911045 y[1] (numeric) 4.312520230091121 absolute error 1.687538997430238e-14 relative error 3.9131155505201833e-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] 3.3099999999999734 y[1] (analytic) 4.3241470343187665 y[1] (numeric) 4.324147034318783 absolute error 1.687538997430238e-14 relative error 3.902593931327998e-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] 3.319999999999973 y[1] (analytic) 4.3358724230214545 y[1] (numeric) 4.335872423021471 absolute error 1.687538997430238e-14 relative error 3.8920402465492185e-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] 3.329999999999973 y[1] (analytic) 4.347696223661736 y[1] (numeric) 4.347696223661754 absolute error 1.7763568394002505e-14 relative error 4.085742765864537e-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] 3.3399999999999728 y[1] (analytic) 4.359618253861068 y[1] (numeric) 4.359618253861087 absolute error 1.865174681370263e-14 relative error 4.278298173741205e-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] 3.3499999999999726 y[1] (analytic) 4.3716383214180325 y[1] (numeric) 4.371638321418051 absolute error 1.865174681370263e-14 relative error 4.266534750215234e-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] 3.3599999999999723 y[1] (analytic) 4.3837562243275565 y[1] (numeric) 4.383756224327575 absolute error 1.865174681370263e-14 relative error 4.254740879566975e-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] 3.369999999999972 y[1] (analytic) 4.395971750801113 y[1] (numeric) 4.395971750801133 absolute error 1.9539925233402755e-14 relative error 4.444961510465084e-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] 3.379999999999972 y[1] (analytic) 4.408284679287903 y[1] (numeric) 4.408284679287923 absolute error 1.9539925233402755e-14 relative error 4.432546138685208e-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] 3.3899999999999717 y[1] (analytic) 4.420694778497004 y[1] (numeric) 4.420694778497023 absolute error 1.9539925233402755e-14 relative error 4.420102769466964e-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] 3.3999999999999715 y[1] (analytic) 4.433201807420503 y[1] (numeric) 4.433201807420523 absolute error 1.9539925233402755e-14 relative error 4.407632695785674e-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] 3.4099999999999713 y[1] (analytic) 4.445805515357598 y[1] (numeric) 4.445805515357618 absolute error 1.9539925233402755e-14 relative error 4.3951372064981257e-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] 3.419999999999971 y[1] (analytic) 4.458505641939665 y[1] (numeric) 4.458505641939684 absolute error 1.9539925233402755e-14 relative error 4.382617585945668e-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] 3.429999999999971 y[1] (analytic) 4.471301917156294 y[1] (numeric) 4.471301917156314 absolute error 1.9539925233402755e-14 relative error 4.3700751135655725e-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] 3.4399999999999706 y[1] (analytic) 4.484194061382295 y[1] (numeric) 4.484194061382316 absolute error 2.042810365310288e-14 relative error 4.555579748215831e-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] 3.4499999999999704 y[1] (analytic) 4.497181785405656 y[1] (numeric) 4.497181785405677 absolute error 2.042810365310288e-14 relative error 4.54242337265453e-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] 3.45999999999997 y[1] (analytic) 4.510264790456465 y[1] (numeric) 4.510264790456485 absolute error 2.042810365310288e-14 relative error 4.529247084634124e-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] 3.46999999999997 y[1] (analytic) 4.523442768236784 y[1] (numeric) 4.523442768236805 absolute error 2.1316282072803006e-14 relative error 4.712402292891613e-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] 3.47999999999997 y[1] (analytic) 4.5367154009514845 y[1] (numeric) 4.536715400951506 absolute error 2.1316282072803006e-14 relative error 4.698615669903461e-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] 3.4899999999999696 y[1] (analytic) 4.550082361340021 y[1] (numeric) 4.550082361340043 absolute error 2.220446049250313e-14 relative error 4.880012872110696e-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] 3.4999999999999694 y[1] (analytic) 4.563543312709163 y[1] (numeric) 4.563543312709184 absolute error 2.1316282072803006e-14 relative error 4.670993702073253e-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] 3.509999999999969 y[1] (analytic) 4.577097908966655 y[1] (numeric) 4.577097908966676 absolute error 2.1316282072803006e-14 relative error 4.657161043254908e-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] 3.519999999999969 y[1] (analytic) 4.5907457946558345 y[1] (numeric) 4.590745794655857 absolute error 2.220446049250313e-14 relative error 4.83678719879278e-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] 3.5299999999999687 y[1] (analytic) 4.604486604991172 y[1] (numeric) 4.604486604991195 absolute error 2.3092638912203256e-14 relative error 5.015247277985626e-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] 3.5399999999999685 y[1] (analytic) 4.618319965894753 y[1] (numeric) 4.618319965894776 absolute error 2.3092638912203256e-14 relative error 5.000224991498459e-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] 3.5499999999999683 y[1] (analytic) 4.63224549403368 y[1] (numeric) 4.632245494033703 absolute error 2.3092638912203256e-14 relative error 4.985193237695739e-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] 3.559999999999968 y[1] (analytic) 4.6462627968584105 y[1] (numeric) 4.646262796858434 absolute error 2.3092638912203256e-14 relative error 4.970153416164371e-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] 3.569999999999968 y[1] (analytic) 4.6603714726420105 y[1] (numeric) 4.6603714726420336 absolute error 2.3092638912203256e-14 relative error 4.955106915353211e-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] 3.5799999999999677 y[1] (analytic) 4.674571110520324 y[1] (numeric) 4.674571110520348 absolute error 2.398081733190338e-14 relative error 5.130057231974399e-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] 3.5899999999999674 y[1] (analytic) 4.688861290533065 y[1] (numeric) 4.688861290533088 absolute error 2.3092638912203256e-14 relative error 4.92499937219894e-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] 3.5999999999999672 y[1] (analytic) 4.703241583665806 y[1] (numeric) 4.70324158366583 absolute error 2.398081733190338e-14 relative error 5.098784934881493e-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] 3.609999999999967 y[1] (analytic) 4.717711551892884 y[1] (numeric) 4.717711551892908 absolute error 2.398081733190338e-14 relative error 5.083146154258112e-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] 3.619999999999967 y[1] (analytic) 4.732270748221201 y[1] (numeric) 4.732270748221226 absolute error 2.4868995751603507e-14 relative error 5.255192924232291e-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] 3.6299999999999666 y[1] (analytic) 4.746918716734925 y[1] (numeric) 4.74691871673495 absolute error 2.4868995751603507e-14 relative error 5.238976531013609e-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] 3.6399999999999664 y[1] (analytic) 4.761654992641076 y[1] (numeric) 4.761654992641101 absolute error 2.4868995751603507e-14 relative error 5.222763049829822e-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] 3.649999999999966 y[1] (analytic) 4.776479102316012 y[1] (numeric) 4.776479102316037 absolute error 2.4868995751603507e-14 relative error 5.206553869260114e-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] 3.659999999999966 y[1] (analytic) 4.791390563352785 y[1] (numeric) 4.7913905633528096 absolute error 2.4868995751603507e-14 relative error 5.190350363382062e-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] 3.6699999999999657 y[1] (analytic) 4.806388884609382 y[1] (numeric) 4.806388884609408 absolute error 2.5757174171303632e-14 relative error 5.35894510196233e-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] 3.6799999999999655 y[1] (analytic) 4.821473566257846 y[1] (numeric) 4.821473566257872 absolute error 2.5757174171303632e-14 relative error 5.342178862404277e-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] 3.6899999999999653 y[1] (analytic) 4.836644099834247 y[1] (numeric) 4.836644099834274 absolute error 2.6645352591003757e-14 relative error 5.509057942038137e-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] 3.699999999999965 y[1] (analytic) 4.851899968289539 y[1] (numeric) 4.8518999682895645 absolute error 2.5757174171303632e-14 relative error 5.308677907550497e-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] 3.709999999999965 y[1] (analytic) 4.867240646041252 y[1] (numeric) 4.867240646041279 absolute error 2.6645352591003757e-14 relative error 5.474426791014665e-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] 3.7199999999999647 y[1] (analytic) 4.8826655990260655 y[1] (numeric) 4.882665599026092 absolute error 2.6645352591003757e-14 relative error 5.457132390208874e-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] 3.7299999999999645 y[1] (analytic) 4.898174284753199 y[1] (numeric) 4.898174284753226 absolute error 2.7533531010703882e-14 relative error 5.621182385528611e-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] 3.7399999999999642 y[1] (analytic) 4.913766152358672 y[1] (numeric) 4.9137661523587 absolute error 2.7533531010703882e-14 relative error 5.603345816016789e-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] 3.749999999999964 y[1] (analytic) 4.929440642660383 y[1] (numeric) 4.929440642660411 absolute error 2.7533531010703882e-14 relative error 5.585528461875187e-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] 3.759999999999964 y[1] (analytic) 4.94519718821403 y[1] (numeric) 4.945197188214059 absolute error 2.842170943040401e-14 relative error 5.747335919817703e-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] 3.7699999999999636 y[1] (analytic) 4.961035213369857 y[1] (numeric) 4.961035213369885 absolute error 2.842170943040401e-14 relative error 5.72898764229858e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.533564701308725 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.7799999999999634 y[1] (analytic) 4.976954134330211 y[1] (numeric) 4.9769541343302395 absolute error 2.842170943040401e-14 relative error 5.710663322041834e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.841424363992722 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.789999999999963 y[1] (analytic) 4.992953359207929 y[1] (numeric) 4.9929533592079585 absolute error 2.930988785010413e-14 relative error 5.870250679600538e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.153887416453099 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.799999999999963 y[1] (analytic) 5.009032288085524 y[1] (numeric) 5.009032288085553 absolute error 2.930988785010413e-14 relative error 5.851407250821798e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.471121810061335 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8099999999999627 y[1] (analytic) 5.025190313075171 y[1] (numeric) 5.025190313075202 absolute error 3.019806626980426e-14 relative error 6.009337833679878e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.793302603675023 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8199999999999625 y[1] (analytic) 5.041426818379507 y[1] (numeric) 5.041426818379537 absolute error 3.019806626980426e-14 relative error 5.989984057630531e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.120612368721133 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8299999999999623 y[1] (analytic) 5.057741180353195 y[1] (numeric) 5.057741180353226 absolute error 3.108624468950438e-14 relative error 6.14627035686582e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.453241621632433 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.839999999999962 y[1] (analytic) 5.074132767565301 y[1] (numeric) 5.074132767565332 absolute error 3.108624468950438e-14 relative error 6.126415313413322e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.791389285837763 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.849999999999962 y[1] (analytic) 5.090600940862429 y[1] (numeric) 5.090600940862461 absolute error 3.197442310920451e-14 relative error 6.281070443480398e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.135263185710787 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8599999999999617 y[1] (analytic) 5.1071450534326415 y[1] (numeric) 5.107145053432673 absolute error 3.197442310920451e-14 relative error 6.260723510822096e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.485080575107062 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8699999999999615 y[1] (analytic) 5.123764450870133 y[1] (numeric) 5.123764450870166 absolute error 3.2862601528904634e-14 relative error 6.413761179697441e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.841068703369324 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.8799999999999613 y[1] (analytic) 5.140458471240677 y[1] (numeric) 5.14045847124071 absolute error 3.2862601528904634e-14 relative error 6.392932014286475e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.20346542195674 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.889999999999961 y[1] (analytic) 5.157226445147813 y[1] (numeric) 5.157226445147848 absolute error 3.4638958368304884e-14 relative error 6.716586664697459e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.572519835161494 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.899999999999961 y[1] (analytic) 5.174067695799794 y[1] (numeric) 5.174067695799828 absolute error 3.4638958368304884e-14 relative error 6.69472461607414e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.94849299871636 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9099999999999606 y[1] (analytic) 5.190981539077252 y[1] (numeric) 5.190981539077287 absolute error 3.4638958368304884e-14 relative error 6.672911106993129e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.331658670476116 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9199999999999604 y[1] (analytic) 5.207967283601622 y[1] (numeric) 5.207967283601658 absolute error 3.552713678800501e-14 relative error 6.821689702212541e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 19.267525626352306 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.92999999999996 y[1] (analytic) 5.225024230804275 y[1] (numeric) 5.225024230804309 absolute error 3.4638958368304884e-14 relative error 6.629434972586337e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.88599376702037 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.93999999999996 y[1] (analytic) 5.242151674996368 y[1] (numeric) 5.242151674996403 absolute error 3.552713678800501e-14 relative error 6.777205046824523e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.511972355076207 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9499999999999598 y[1] (analytic) 5.259348903439423 y[1] (numeric) 5.259348903439459 absolute error 3.6415315207705135e-14 relative error 6.923920788729351e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 18.14516914423352 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9599999999999596 y[1] (analytic) 5.276615196416594 y[1] (numeric) 5.27661519641663 absolute error 3.6415315207705135e-14 relative error 6.901264134711807e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.785305894116792 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9699999999999593 y[1] (analytic) 5.293949827304638 y[1] (numeric) 5.293949827304674 absolute error 3.6415315207705135e-14 relative error 6.878666476944235e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.432117519791618 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.979999999999959 y[1] (analytic) 5.311352062646577 y[1] (numeric) 5.311352062646614 absolute error 3.730349362740526e-14 relative error 7.023351716741108e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 17.08535130201765 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.989999999999959 y[1] (analytic) 5.328821162225048 y[1] (numeric) 5.328821162225085 absolute error 3.730349362740526e-14 relative error 7.000327556841708e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.744766153210122 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 3.9999999999999587 y[1] (analytic) 5.346356379136315 y[1] (numeric) 5.3463563791363535 absolute error 3.8191672047105385e-14 relative error 7.143495371192429e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.410131934563086 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.009999999999959 y[1] (analytic) 5.363956959864969 y[1] (numeric) 5.363956959865007 absolute error 3.8191672047105385e-14 relative error 7.120055647886261e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 16.081228820205748 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.019999999999959 y[1] (analytic) 5.381622144359268 y[1] (numeric) 5.381622144359306 absolute error 3.8191672047105385e-14 relative error 7.096684052249168e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.75784670464002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.0299999999999585 y[1] (analytic) 5.3993511661071505 y[1] (numeric) 5.39935116610719 absolute error 3.907985046680551e-14 relative error 7.237879008892375e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.439784650043997 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.039999999999958 y[1] (analytic) 5.417143252212885 y[1] (numeric) 5.417143252212924 absolute error 3.907985046680551e-14 relative error 7.214106891273648e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 15.12685037033109 Order of pole (ratio test) Not computed 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) 5.4349976234743504 y[1] (numeric) 5.43499762347439 absolute error 3.9968028886505635e-14 relative error 7.353826377748417e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.818859749127565 Order of pole (ratio test) Not computed 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) 5.45291349446097 y[1] (numeric) 5.45291349446101 absolute error 3.9968028886505635e-14 relative error 7.329664944640122e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.515636389078503 Order of pole (ratio test) Not computed 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) 5.470890073592239 y[1] (numeric) 5.470890073592279 absolute error 3.9968028886505635e-14 relative error 7.305580691417959e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 14.217011190115072 Order of pole (ratio test) Not computed 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) 5.488926563216891 y[1] (numeric) 5.488926563216932 absolute error 4.085620730620576e-14 relative error 7.443387488547705e-13% Correct digits 15 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 13.922821954517971 Order of pole (ratio test) Not computed 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) 5.507022159692664 y[1] (numeric) 5.5070221596927045 absolute error 4.085620730620576e-14 relative error 7.41892916379437e-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) 5.525176053466653 y[1] (numeric) 5.525176053466694 absolute error 4.085620730620576e-14 relative error 7.394553026155865e-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) 5.543387429156278 y[1] (numeric) 5.543387429156319 absolute error 4.1744385725905886e-14 relative error 7.530483167448305e-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) 5.56165546563081 y[1] (numeric) 5.561655465630853 absolute error 4.263256414560601e-14 relative error 7.66544501166265e-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) 5.579979336093495 y[1] (numeric) 5.579979336093538 absolute error 4.263256414560601e-14 relative error 7.640272764065965e-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) 5.598358208164221 y[1] (numeric) 5.598358208164264 absolute error 4.263256414560601e-14 relative error 7.615190482708647e-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) 5.616791243962764 y[1] (numeric) 5.616791243962807 absolute error 4.3520742565306136e-14 relative error 7.748328302584616e-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) 5.6352776001925715 y[1] (numeric) 5.635277600192615 absolute error 4.3520742565306136e-14 relative error 7.722910147996777e-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) 5.653816428225093 y[1] (numeric) 5.653816428225136 absolute error 4.3520742565306136e-14 relative error 7.69758677484487e-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) 5.67240687418464 y[1] (numeric) 5.672406874184683 absolute error 4.3520742565306136e-14 relative error 7.672359111503593e-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) 5.691048079033775 y[1] (numeric) 5.69104807903382 absolute error 4.440892098500626e-14 relative error 7.803293939584147e-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) 5.709739178659216 y[1] (numeric) 5.709739178659261 absolute error 4.440892098500626e-14 relative error 7.777749490027413e-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) 5.728479303958241 y[1] (numeric) 5.728479303958286 absolute error 4.529709940470639e-14 relative error 7.907351497876092e-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) 5.747267580925604 y[1] (numeric) 5.74726758092565 absolute error 4.529709940470639e-14 relative error 7.88150173397899e-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) 5.766103130740933 y[1] (numeric) 5.766103130740978 absolute error 4.529709940470639e-14 relative error 7.85575602406643e-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] 4.239999999999954 y[1] (analytic) 5.784985069856608 y[1] (numeric) 5.784985069856654 absolute error 4.529709940470639e-14 relative error 7.830115178815692e-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] 4.249999999999954 y[1] (analytic) 5.8039125100861195 y[1] (numeric) 5.803912510086166 absolute error 4.618527782440651e-14 relative error 7.957610964008347e-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] 4.259999999999954 y[1] (analytic) 5.822884558692884 y[1] (numeric) 5.82288455869293 absolute error 4.618527782440651e-14 relative error 7.93168357690645e-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] 4.269999999999953 y[1] (analytic) 5.841900318479517 y[1] (numeric) 5.841900318479564 absolute error 4.707345624410664e-14 relative error 8.057901312557579e-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] 4.279999999999953 y[1] (analytic) 5.860958887877555 y[1] (numeric) 5.860958887877602 absolute error 4.707345624410664e-14 relative error 8.031698762035419e-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] 4.289999999999953 y[1] (analytic) 5.880059361037604 y[1] (numeric) 5.8800593610376515 absolute error 4.707345624410664e-14 relative error 8.005609017491276e-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] 4.299999999999953 y[1] (analytic) 5.899200827919934 y[1] (numeric) 5.899200827919982 absolute error 4.796163466380676e-14 relative error 8.130191879010517e-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] 4.3099999999999525 y[1] (analytic) 5.918382374385474 y[1] (numeric) 5.918382374385522 absolute error 4.796163466380676e-14 relative error 8.103841832082839e-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] 4.319999999999952 y[1] (analytic) 5.937603082287228 y[1] (numeric) 5.937603082287277 absolute error 4.884981308350689e-14 relative error 8.227194106193003e-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] 4.329999999999952 y[1] (analytic) 5.95686202956209 y[1] (numeric) 5.9568620295621395 absolute error 4.973799150320701e-14 relative error 8.349696745765224e-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] 4.339999999999952 y[1] (analytic) 5.976158290323049 y[1] (numeric) 5.976158290323099 absolute error 4.973799150320701e-14 relative error 8.322736628938649e-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] 4.349999999999952 y[1] (analytic) 5.995490934951775 y[1] (numeric) 5.9954909349518255 absolute error 5.062616992290714e-14 relative error 8.444040775338835e-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] 4.3599999999999515 y[1] (analytic) 6.014859030191582 y[1] (numeric) 6.014859030191634 absolute error 5.1514348342607263e-14 relative error 8.564514660116058e-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] 4.369999999999951 y[1] (analytic) 6.034261639240754 y[1] (numeric) 6.034261639240806 absolute error 5.1514348342607263e-14 relative error 8.536976256980618e-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] 4.379999999999951 y[1] (analytic) 6.053697821846221 y[1] (numeric) 6.053697821846273 absolute error 5.240252676230739e-14 relative error 8.656283862270148e-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] 4.389999999999951 y[1] (analytic) 6.073166634397586 y[1] (numeric) 6.073166634397638 absolute error 5.240252676230739e-14 relative error 8.628534324335288e-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] 4.399999999999951 y[1] (analytic) 6.092667130021484 y[1] (numeric) 6.092667130021536 absolute error 5.240252676230739e-14 relative error 8.60091740513692e-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] 4.40999999999995 y[1] (analytic) 6.11219835867627 y[1] (numeric) 6.112198358676323 absolute error 5.240252676230739e-14 relative error 8.573433597409672e-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] 4.41999999999995 y[1] (analytic) 6.131759367247021 y[1] (numeric) 6.131759367247074 absolute error 5.3290705182007514e-14 relative error 8.690932241513168e-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] 4.42999999999995 y[1] (analytic) 6.151349199640848 y[1] (numeric) 6.151349199640902 absolute error 5.417888360170764e-14 relative error 8.80764233070542e-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] 4.43999999999995 y[1] (analytic) 6.170966896882502 y[1] (numeric) 6.170966896882557 absolute error 5.417888360170764e-14 relative error 8.779642559592753e-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] 4.4499999999999496 y[1] (analytic) 6.190611497210274 y[1] (numeric) 6.190611497210329 absolute error 5.5067062021407764e-14 relative error 8.895254054663757e-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] 4.459999999999949 y[1] (analytic) 6.21028203617217 y[1] (numeric) 6.210282036172225 absolute error 5.5067062021407764e-14 relative error 8.867079095710352e-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] 4.469999999999949 y[1] (analytic) 6.22997754672235 y[1] (numeric) 6.229977546722405 absolute error 5.5067062021407764e-14 relative error 8.839046627122929e-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] 4.479999999999949 y[1] (analytic) 6.24969705931784 y[1] (numeric) 6.249697059317896 absolute error 5.595524044110789e-14 relative error 8.953272440250961e-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] 4.489999999999949 y[1] (analytic) 6.2694396020154795 y[1] (numeric) 6.269439602015536 absolute error 5.684341886080802e-14 relative error 9.066746387114754e-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] 4.4999999999999485 y[1] (analytic) 6.289204200569118 y[1] (numeric) 6.289204200569175 absolute error 5.684341886080802e-14 relative error 9.038253020257186e-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] 4.509999999999948 y[1] (analytic) 6.308989878527037 y[1] (numeric) 6.308989878527095 absolute error 5.773159728050814e-14 relative error 9.15068789014871e-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] 4.519999999999948 y[1] (analytic) 6.328795657329596 y[1] (numeric) 6.328795657329654 absolute error 5.861977570020827e-14 relative error 9.26239033050762e-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] 4.529999999999948 y[1] (analytic) 6.348620556407085 y[1] (numeric) 6.348620556407144 absolute error 5.861977570020827e-14 relative error 9.233466574254255e-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] 4.539999999999948 y[1] (analytic) 6.368463593277784 y[1] (numeric) 6.368463593277844 absolute error 5.950795411990839e-14 relative error 9.344161782242402e-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] 4.549999999999947 y[1] (analytic) 6.388323783646209 y[1] (numeric) 6.388323783646269 absolute error 6.039613253960852e-14 relative error 9.454143932751125e-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] 4.559999999999947 y[1] (analytic) 6.40820014150154 y[1] (numeric) 6.4082001415016006 absolute error 6.039613253960852e-14 relative error 9.424819950373269e-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] 4.569999999999947 y[1] (analytic) 6.428091679216221 y[1] (numeric) 6.428091679216282 absolute error 6.039613253960852e-14 relative error 9.395655126526233e-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] 4.579999999999947 y[1] (analytic) 6.447997407644724 y[1] (numeric) 6.447997407644785 absolute error 6.039613253960852e-14 relative error 9.366649631093688e-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] 4.589999999999947 y[1] (analytic) 6.46791633622246 y[1] (numeric) 6.467916336222522 absolute error 6.128431095930864e-14 relative error 9.475124255410715e-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] 4.599999999999946 y[1] (analytic) 6.487847473064838 y[1] (numeric) 6.4878474730649005 absolute error 6.217248937900877e-14 relative error 9.582914770596276e-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] 4.609999999999946 y[1] (analytic) 6.50778982506645 y[1] (numeric) 6.507789825066513 absolute error 6.306066779870889e-14 relative error 9.690028334322396e-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] 4.619999999999946 y[1] (analytic) 6.52774239800038 y[1] (numeric) 6.527742398000443 absolute error 6.306066779870889e-14 relative error 9.66040997849824e-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] 4.629999999999946 y[1] (analytic) 6.547704196617629 y[1] (numeric) 6.547704196617692 absolute error 6.306066779870889e-14 relative error 9.63095856274087e-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] 4.6399999999999455 y[1] (analytic) 6.5676742247466375 y[1] (numeric) 6.567674224746701 absolute error 6.306066779870889e-14 relative error 9.601674145331347e-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] 4.649999999999945 y[1] (analytic) 6.5876514853928985 y[1] (numeric) 6.587651485392962 absolute error 6.394884621840902e-14 relative error 9.707381509207907e-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] 4.659999999999945 y[1] (analytic) 6.6076349808386645 y[1] (numeric) 6.6076349808387285 absolute error 6.394884621840902e-14 relative error 9.678023438621061e-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] 4.669999999999945 y[1] (analytic) 6.627623712742708 y[1] (numeric) 6.627623712742773 absolute error 6.483702463810914e-14 relative error 9.782846378778141e-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] 4.679999999999945 y[1] (analytic) 6.647616682240165 y[1] (numeric) 6.64761668224023 absolute error 6.483702463810914e-14 relative error 9.753424082247153e-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] 4.689999999999944 y[1] (analytic) 6.667612890042411 y[1] (numeric) 6.667612890042477 absolute error 6.572520305780927e-14 relative error 9.857381365970574e-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] 4.699999999999944 y[1] (analytic) 6.687611336536998 y[1] (numeric) 6.6876113365370635 absolute error 6.572520305780927e-14 relative error 9.827904127551066e-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] 4.709999999999944 y[1] (analytic) 6.707611021887606 y[1] (numeric) 6.707611021887673 absolute error 6.661338147750939e-14 relative error 9.931014374587802e-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] 4.719999999999944 y[1] (analytic) 6.727610946134035 y[1] (numeric) 6.727610946134103 absolute error 6.750155989720952e-14 relative error 1.0033511217826697e-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 0.0073389134773086265 Order of pole (three term test) -0.894257651745016 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.729999999999944 y[1] (analytic) 6.747610109292194 y[1] (numeric) 6.747610109292261 absolute error 6.750155989720952e-14 relative error 1.0003773010573407e-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 0.016978536313896734 Order of pole (three term test) -0.9003549199517773 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.739999999999943 y[1] (analytic) 6.767607511454099 y[1] (numeric) 6.767607511454166 absolute error 6.750155989720952e-14 relative error 9.974213159224127e-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 0.026611353980064385 Order of pole (three term test) -0.9112844839455715 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.749999999999943 y[1] (analytic) 6.787602152887863 y[1] (numeric) 6.787602152887931 absolute error 6.838973831690964e-14 relative error 1.007568457556288e-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 0.03623350556415961 Order of pole (three term test) -0.9270419540531252 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.759999999999943 y[1] (analytic) 6.807593034137674 y[1] (numeric) 6.807593034137743 absolute error 6.927791673660977e-14 relative error 1.0176565548088068e-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 0.045841134455908615 Order of pole (three term test) -0.9476210015836062 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.769999999999943 y[1] (analytic) 6.827579156123732 y[1] (numeric) 6.827579156123802 absolute error 7.016609515630989e-14 relative error 1.0276862933676448e-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 0.05543038990163343 Order of pole (three term test) -0.9730133614015779 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.7799999999999425 y[1] (analytic) 6.84755952024216 y[1] (numeric) 6.84755952024223 absolute error 7.016609515630989e-14 relative error 1.024687627013551e-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 0.06499742855704904 Order of pole (three term test) -1.0032088352871373 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.789999999999942 y[1] (analytic) 6.8675331284648635 y[1] (numeric) 6.867533128464934 absolute error 7.016609515630989e-14 relative error 1.0217074143476975e-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 0.07453841603700158 Order of pole (three term test) -1.0381952960818148 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.799999999999942 y[1] (analytic) 6.887498983439331 y[1] (numeric) 6.887498983439402 absolute error 7.105427357601002e-14 relative error 1.0316411479240389e-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 0.08404952846150518 Order of pole (three term test) -1.0779586926184568 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.809999999999942 y[1] (analytic) 6.90745608858837 y[1] (numeric) 6.907456088588441 absolute error 7.105427357601002e-14 relative error 1.0286605179205837e-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 0.09352695399744085 Order of pole (three term test) -1.1224830554330052 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.819999999999942 y[1] (analytic) 6.9274034482097635 y[1] (numeric) 6.9274034482098354 absolute error 7.194245199571014e-14 relative error 1.038519735909161e-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 0.10296689439528016 Order of pole (three term test) -1.1717505032557325 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.8299999999999415 y[1] (analytic) 6.947340067575839 y[1] (numeric) 6.947340067575911 absolute error 7.194245199571014e-14 relative error 1.0355395201031707e-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 0.11236556652020065 Order of pole (three term test) -1.2257412502791734 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.839999999999941 y[1] (analytic) 6.96726495303294 y[1] (numeric) 6.967264953033012 absolute error 7.194245199571014e-14 relative error 1.032578098876413e-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 0.12171920387696032 Order of pole (three term test) -1.2844336141996575 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.849999999999941 y[1] (analytic) 6.98717711210079 y[1] (numeric) 6.987177112100863 absolute error 7.283063041541027e-14 relative error 1.0423469914520708e-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 0.13102405812790502 Order of pole (three term test) -1.347804025029032 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.859999999999941 y[1] (analytic) 7.007075553571745 y[1] (numeric) 7.007075553571818 absolute error 7.283063041541027e-14 relative error 1.0393869719056477e-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 0.14027640060347835 Order of pole (three term test) -1.4158270346727981 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.869999999999941 y[1] (analytic) 7.026959287609905 y[1] (numeric) 7.026959287609979 absolute error 7.37188088351104e-14 relative error 1.0490854695158555e-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 0.14947252380461806 Order of pole (three term test) -1.4884753272706301 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.87999999999994 y[1] (analytic) 7.046827325850103 y[1] (numeric) 7.0468273258501775 absolute error 7.460698725481052e-14 relative error 1.0587315937361954e-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 0.1586087428964147 Order of pole (three term test) -1.5657197302948376 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.88999999999994 y[1] (analytic) 7.0666786814967395 y[1] (numeric) 7.066678681496813 absolute error 7.37188088351104e-14 relative error 1.043188917420773e-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 0.16768139719242275 Order of pole (three term test) -1.647529226402093 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.89999999999994 y[1] (analytic) 7.086512369422456 y[1] (numeric) 7.086512369422532 absolute error 7.549516567451064e-14 relative error 1.0653359754265613e-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 0.17668685162900896 Order of pole (three term test) -1.7338709660333507 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.90999999999994 y[1] (analytic) 7.106327406266658 y[1] (numeric) 7.106327406266733 absolute error 7.549516567451064e-14 relative error 1.062365429545729e-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 0.1856214982291365 Order of pole (three term test) -1.8247102807566469 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9199999999999395 y[1] (analytic) 7.126122810533839 y[1] (numeric) 7.126122810533914 absolute error 7.549516567451064e-14 relative error 1.0594143222302266e-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 0.19448175755498093 Order of pole (three term test) -1.9200106973470832 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.929999999999939 y[1] (analytic) 7.1458976026917345 y[1] (numeric) 7.145897602691811 absolute error 7.638334409421077e-14 relative error 1.0689118196353458e-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 0.20326408014878244 Order of pole (three term test) -2.0197339525980436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.939999999999939 y[1] (analytic) 7.165650805269275 y[1] (numeric) 7.165650805269352 absolute error 7.72715225139109e-14 relative error 1.0783601463957626e-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 0.21196494796134271 Order of pole (three term test) -2.12384000885733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.949999999999939 y[1] (analytic) 7.185381442954331 y[1] (numeric) 7.185381442954408 absolute error 7.72715225139109e-14 relative error 1.0753990324296556e-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 0.2205808757675839 Order of pole (three term test) -2.2322870702816906 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.959999999999939 y[1] (analytic) 7.205088542691241 y[1] (numeric) 7.2050885426913185 absolute error 7.72715225139109e-14 relative error 1.0724576395704982e-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 0.22910841256858552 Order of pole (three term test) -2.3450315998027733 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.9699999999999385 y[1] (analytic) 7.2247711337781215 y[1] (numeric) 7.2247711337782 absolute error 7.815970093361102e-14 relative error 1.0818294377269526e-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 0.237544142979529 Order of pole (three term test) -2.4620283367973874 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.979999999999938 y[1] (analytic) 7.244428247963934 y[1] (numeric) 7.244428247964012 absolute error 7.815970093361102e-14 relative error 1.078893989399067e-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 0.24588468860298224 Order of pole (three term test) -2.583230315454562 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.989999999999938 y[1] (analytic) 7.264058919545306 y[1] (numeric) 7.264058919545384 absolute error 7.815970093361102e-14 relative error 1.0759783448797168e-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 0.2541267093869621 Order of pole (three term test) -2.708588883831635 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 4.999999999999938 y[1] (analytic) 7.283662185463104 y[1] (numeric) 7.283662185463183 absolute error 7.904787935331115e-14 relative error 1.0852765729728195e-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 0.26226690496722116 Order of pole (three term test) -2.838053723591315 NO COMPLEX POLE (six term test) for Equation 1 Finished! diff ( y , x , 1 ) = 1.0 - sin(x); Iterations 491 Total Elapsed Time 0.0 Seconds Elapsed Time(since restart) 0.0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.40816326530484%