##############ECHO OF PROBLEM################# ##############temp/expt_sin_linpostode.ode################# diff ( y , x , 1 ) = expt (sin(x) , (0.2 * x + 0.3)); ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=0.1 x_end=3.0 $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(0.0) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 2.9 estimated_steps 2900000.0 step_error 3.448275862068966e-17 est_needed_step_err 3.448275862068966e-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 1.1483916146355002e-137 estimated_step_error 1.1483916146355002e-137 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 4.331157807584952e-128 estimated_step_error 4.331157807584952e-128 best_h 4.0e-06 opt_iter 3 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.9065640526339656e-120 estimated_step_error 2.9065640526339656e-120 best_h 8.0e-06 opt_iter 4 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.9505262147949596e-112 estimated_step_error 1.9505262147949596e-112 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 1.3089278001084322e-104 estimated_step_error 1.3089278001084322e-104 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 8.783419120388358e-97 estimated_step_error 8.783419120388358e-97 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 5.893585062851224e-89 estimated_step_error 5.893585062851224e-89 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 3.953953854453335e-81 estimated_step_error 3.953953854453335e-81 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 2.6518924318171956e-73 estimated_step_error 2.6518924318171956e-73 best_h 0.000512 opt_iter 10 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.7775633558347181e-65 estimated_step_error 1.7775633558347181e-65 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 1.1901053584315559e-57 estimated_step_error 1.1901053584315559e-57 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 7.949386347041292e-50 estimated_step_error 7.949386347041292e-50 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 5.2854321619861114e-42 estimated_step_error 5.2854321619861114e-42 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 3.4827415406862695e-34 estimated_step_error 3.4827415406862695e-34 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 2.256176356837282e-26 estimated_step_error 2.256176356837282e-26 best_h 0.032768 opt_iter 16 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.4192281704563671e-18 estimated_step_error 1.4192281704563671e-18 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 8.624666625805802e-11 estimated_step_error 8.624666625805802e-11 best_h 0.032768 START of Soultion TOP MAIN SOLVE Loop x[1] 0.1 y[1] (analytic) 0.0 y[1] (numeric) 0.0 absolute error 0.0 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.1230589558433499 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.09456211518821755 Order of pole (six term test) -1.8498363185399587 TOP MAIN SOLVE Loop x[1] 0.11 y[1] (analytic) 0.0 y[1] (numeric) 0.005291656099419737 absolute error 0.005291656099419737 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.12223467840943268 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.13420577910383016 Order of pole (six term test) -0.6511472151559232 TOP MAIN SOLVE Loop x[1] 0.12 y[1] (analytic) 0.0 y[1] (numeric) 0.010260719920300768 absolute error 0.010260719920300768 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.13334723531985435 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.1484814533708439 Order of pole (six term test) -0.6513631168232408 TOP MAIN SOLVE Loop x[1] 0.13 y[1] (analytic) 0.0 y[1] (numeric) 0.015343613851840463 absolute error 0.015343613851840463 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.1444597597913969 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.162867632482377 Order of pole (six term test) -0.6516415568998077 TOP MAIN SOLVE Loop x[1] 0.14 y[1] (analytic) 0.0 y[1] (numeric) 0.020533694926717846 absolute error 0.020533694926717846 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.15557223866483344 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.17735080833368083 Order of pole (six term test) -0.6519811293789814 TOP MAIN SOLVE Loop x[1] 0.15000000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.025825191683909697 absolute error 0.025825191683909697 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.16668465962651072 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.19191961328557683 Order of pole (six term test) -0.6523802864913488 TOP MAIN SOLVE Loop x[1] 0.16000000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.03121304245125891 absolute error 0.03121304245125891 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.17779701109164842 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2065642211087438 Order of pole (six term test) -0.6528373959121794 TOP MAIN SOLVE Loop x[1] 0.17000000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.03669277171600322 absolute error 0.03669277171600322 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.18890928211030616 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2212761577829309 Order of pole (six term test) -0.6533507934395306 TOP MAIN SOLVE Loop x[1] 0.18000000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.04226039388862046 absolute error 0.04226039388862046 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.2000214622905053 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.23604796088168636 Order of pole (six term test) -0.6539188038162127 TOP MAIN SOLVE Loop x[1] 0.19000000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.04791233720059754 absolute error 0.04791233720059754 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.21113354173455132 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.25087336663489934 Order of pole (six term test) -0.6545398068207753 TOP MAIN SOLVE Loop x[1] 0.20000000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.053645382684009896 absolute error 0.053645382684009896 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.22224551098571166 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2657466820096812 Order of pole (six term test) -0.6552121947291223 TOP MAIN SOLVE Loop x[1] 0.21000000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.05945661463915267 absolute error 0.05945661463915267 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.23335736098310525 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.2806627464479559 Order of pole (six term test) -0.6559343832018971 TOP MAIN SOLVE Loop x[1] 0.22000000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.06534337998390548 absolute error 0.06534337998390548 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.24446908302319645 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.29561716127754906 Order of pole (six term test) -0.6567048650912497 TOP MAIN SOLVE Loop x[1] 0.2300000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.07130325456178083 absolute error 0.07130325456178083 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.2555806687266718 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.3106059942376315 Order of pole (six term test) -0.6575221863183867 TOP MAIN SOLVE Loop x[1] 0.2400000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.07733401496765425 absolute error 0.07733401496765425 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.26669211000973214 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.3256254078617766 Order of pole (six term test) -0.6583848870614908 TOP MAIN SOLVE Loop x[1] 0.2500000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.08343361479623604 absolute error 0.08343361479623604 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.2778033990590477 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.34067248149398865 Order of pole (six term test) -0.6592916611171891 TOP MAIN SOLVE Loop x[1] 0.2600000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.08960016447072122 absolute error 0.08960016447072122 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.28891452830978664 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.3557441202775226 Order of pole (six term test) -0.6602411650003361 TOP MAIN SOLVE Loop x[1] 0.27000000000000013 y[1] (analytic) 0.0 y[1] (numeric) 0.09583191399575797 absolute error 0.09583191399575797 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.30002549042621585 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.370837632209645 Order of pole (six term test) -0.6612321270719494 TOP MAIN SOLVE Loop x[1] 0.28000000000000014 y[1] (analytic) 0.0 y[1] (numeric) 0.10212723811880457 absolute error 0.10212723811880457 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.3111362782845108 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.3859506644550541 Order of pole (six term test) -0.6622633453115778 TOP MAIN SOLVE Loop x[1] 0.29000000000000015 y[1] (analytic) 0.0 y[1] (numeric) 0.10848462349008052 absolute error 0.10848462349008052 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.3222468849574311 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.40108104001535894 Order of pole (six term test) -0.6633336575075877 TOP MAIN SOLVE Loop x[1] 0.30000000000000016 y[1] (analytic) 0.0 y[1] (numeric) 0.11490265749270688 absolute error 0.11490265749270688 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.3333573037006079 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.41622677458264407 Order of pole (six term test) -0.6644419482659192 TOP MAIN SOLVE Loop x[1] 0.31000000000000016 y[1] (analytic) 0.0 y[1] (numeric) 0.12138001847768115 absolute error 0.12138001847768115 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.3444675279402304 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.431386003361899 Order of pole (six term test) -0.6655871343808375 TOP MAIN SOLVE Loop x[1] 0.3200000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.12791546718763316 absolute error 0.12791546718763316 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.35557755126193724 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.44655699179968966 Order of pole (six term test) -0.6667681680116111 TOP MAIN SOLVE Loop x[1] 0.3300000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.13450783919219791 absolute error 0.13450783919219791 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.366687367400768 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.4617381842587862 Order of pole (six term test) -0.6679840504880321 TOP MAIN SOLVE Loop x[1] 0.3400000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.14115603818876515 absolute error 0.14115603818876515 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.3777969702320427 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.47692830662905983 Order of pole (six term test) -0.6692338637568618 TOP MAIN SOLVE Loop x[1] 0.3500000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.14785903004714393 absolute error 0.14785903004714393 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.38890635376305294 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.4921259844660555 Order of pole (six term test) -0.6705166725801064 TOP MAIN SOLVE Loop x[1] 0.3600000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.15461583749667354 absolute error 0.15461583749667354 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4000155121254828 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5073298224504168 Order of pole (six term test) -0.6718315402444652 TOP MAIN SOLVE Loop x[1] 0.3700000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.16142553537055307 absolute error 0.16142553537055307 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4111244395684646 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5225391168781607 Order of pole (six term test) -0.6731777314225802 TOP MAIN SOLVE Loop x[1] 0.3800000000000002 y[1] (analytic) 0.0 y[1] (numeric) 0.16828724633543646 absolute error 0.16828724633543646 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4222331304522053 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5377522381713822 Order of pole (six term test) -0.674554256104722 TOP MAIN SOLVE Loop x[1] 0.39000000000000024 y[1] (analytic) 0.0 y[1] (numeric) 0.175200137045253 absolute error 0.175200137045253 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.43334157924212635 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5529688211479215 Order of pole (six term test) -0.6759604965231123 TOP MAIN SOLVE Loop x[1] 0.40000000000000024 y[1] (analytic) 0.0 y[1] (numeric) 0.1821634146672365 absolute error 0.1821634146672365 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.44444978050346323 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5681875346137829 Order of pole (six term test) -0.6773955617175762 TOP MAIN SOLVE Loop x[1] 0.41000000000000025 y[1] (analytic) 0.0 y[1] (numeric) 0.18917632373564364 absolute error 0.18917632373564364 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4555577288962659 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5834077781882333 Order of pole (six term test) -0.6788587853783667 TOP MAIN SOLVE Loop x[1] 0.42000000000000026 y[1] (analytic) 0.0 y[1] (numeric) 0.19623814329490447 absolute error 0.19623814329490447 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4666654191707779 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.5986286791662022 Order of pole (six term test) -0.6803494278364006 TOP MAIN SOLVE Loop x[1] 0.43000000000000027 y[1] (analytic) 0.0 y[1] (numeric) 0.20334818429920232 absolute error 0.20334818429920232 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4777728461631516 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6138497128143172 Order of pole (six term test) -0.6818668678652813 TOP MAIN SOLVE Loop x[1] 0.4400000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.21050578723990795 absolute error 0.21050578723990795 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4888800047914651 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6290699048193316 Order of pole (six term test) -0.683410347218965 TOP MAIN SOLVE Loop x[1] 0.4500000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.21771031997604148 absolute error 0.21771031997604148 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.49998689005200597 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.644288738596123 Order of pole (six term test) -0.6849792620819333 TOP MAIN SOLVE Loop x[1] 0.4600000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.22496117574611968 absolute error 0.22496117574611968 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5110934970158251 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6595056904675077 Order of pole (six term test) -0.6865730165722077 TOP MAIN SOLVE Loop x[1] 0.4700000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.2322577713424631 absolute error 0.2322577713424631 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5221998208255024 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.6747201503464225 Order of pole (six term test) -0.6881909933252857 TOP MAIN SOLVE Loop x[1] 0.4800000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.2395995454313632 absolute error 0.2395995454313632 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5333058566921319 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.689931715382934 Order of pole (six term test) -0.6898326536904644 TOP MAIN SOLVE Loop x[1] 0.4900000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.24698595700450762 absolute error 0.24698595700450762 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5444115998924924 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7051398764369493 Order of pole (six term test) -0.6914974305324826 TOP MAIN SOLVE Loop x[1] 0.5000000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.25441648394878397 absolute error 0.25441648394878397 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5555170457664046 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.720344018755291 Order of pole (six term test) -0.6931847233729496 TOP MAIN SOLVE Loop x[1] 0.5100000000000003 y[1] (analytic) 0.0 y[1] (numeric) 0.2618906217230715 absolute error 0.2618906217230715 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5666221897142398 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.735543736878449 Order of pole (six term test) -0.6948940135195247 TOP MAIN SOLVE Loop x[1] 0.5200000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.269407882131922 absolute error 0.269407882131922 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5777270271945814 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.750738853294263 Order of pole (six term test) -0.6966248752064654 TOP MAIN SOLVE Loop x[1] 0.5300000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.2769677921871549 absolute error 0.2769677921871549 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5888315537220259 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7659287669914524 Order of pole (six term test) -0.6983767305888495 TOP MAIN SOLVE Loop x[1] 0.5400000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.2845698930493702 absolute error 0.2845698930493702 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5999357648651148 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7811131955452821 Order of pole (six term test) -0.7001491274159406 TOP MAIN SOLVE Loop x[1] 0.5500000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.29221373904224274 absolute error 0.29221373904224274 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6110396562443786 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.7962918880182546 Order of pole (six term test) -0.7019416336207165 TOP MAIN SOLVE Loop x[1] 0.5600000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.29989889673321024 absolute error 0.29989889673321024 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6221432235304865 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8114644779374324 Order of pole (six term test) -0.7037537782236427 TOP MAIN SOLVE Loop x[1] 0.5700000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.3076249440748304 absolute error 0.3076249440748304 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6332464624425168 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8266306593400176 Order of pole (six term test) -0.7055851190205278 TOP MAIN SOLVE Loop x[1] 0.5800000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.3153914696016633 absolute error 0.3153914696016633 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.644349368746297 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8417900377214966 Order of pole (six term test) -0.7074351834379886 TOP MAIN SOLVE Loop x[1] 0.5900000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.3231980716780508 absolute error 0.3231980716780508 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6554519382528535 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8569424235552399 Order of pole (six term test) -0.7093035863513624 TOP MAIN SOLVE Loop x[1] 0.6000000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.3310443577926188 absolute error 0.3310443577926188 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6665541668169243 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8720876394077032 Order of pole (six term test) -0.7111899546977192 TOP MAIN SOLVE Loop x[1] 0.6100000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.3389299438957328 absolute error 0.3389299438957328 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6776560503355693 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.8872252923345366 Order of pole (six term test) -0.7130938306525856 TOP MAIN SOLVE Loop x[1] 0.6200000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.34685445377649615 absolute error 0.34685445377649615 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6887575847468326 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9023554612373063 Order of pole (six term test) -0.7150149604147256 TOP MAIN SOLVE Loop x[1] 0.6300000000000004 y[1] (analytic) 0.0 y[1] (numeric) 0.3548175184762003 absolute error 0.3548175184762003 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6998587660284862 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9174776110568744 Order of pole (six term test) -0.7169528346038501 TOP MAIN SOLVE Loop x[1] 0.6400000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.3628187757354202 absolute error 0.3628187757354202 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7109595901968293 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9325916611336197 Order of pole (six term test) -0.7189071414969224 TOP MAIN SOLVE Loop x[1] 0.6500000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.37085786947220617 absolute error 0.37085786947220617 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7220600533055482 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9476974202819289 Order of pole (six term test) -0.7208775277498063 TOP MAIN SOLVE Loop x[1] 0.6600000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.3789344492890486 absolute error 0.3789344492890486 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7331601514446331 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9627948587307837 Order of pole (six term test) -0.7228637155231006 TOP MAIN SOLVE Loop x[1] 0.6700000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.3870481700064999 absolute error 0.3870481700064999 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7442598807393452 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.97788349643313 Order of pole (six term test) -0.7248652317647473 TOP MAIN SOLVE Loop x[1] 0.6800000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.39519869122152007 absolute error 0.39519869122152007 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7553592373492327 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 0.9929634739283624 Order of pole (six term test) -0.7268818844658718 TOP MAIN SOLVE Loop x[1] 0.6900000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.4033856768887801 absolute error 0.4033856768887801 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7664582174671936 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.008034540264993 Order of pole (six term test) -0.7289133110809178 TOP MAIN SOLVE Loop x[1] 0.7000000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.4116087949233054 absolute error 0.4116087949233054 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7775568173185873 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0230965120799025 Order of pole (six term test) -0.730959182068748 TOP MAIN SOLVE Loop x[1] 0.7100000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.4198677168229777 absolute error 0.4198677168229777 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7886550331603664 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0381496339031464 Order of pole (six term test) -0.7330193728812802 TOP MAIN SOLVE Loop x[1] 0.7200000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.42816211730953563 absolute error 0.42816211730953563 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7997528612802858 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.053193541801361 Order of pole (six term test) -0.7350934803012308 TOP MAIN SOLVE Loop x[1] 0.7300000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.43649167398682476 absolute error 0.43649167398682476 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8108502979961068 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0682284566762525 Order of pole (six term test) -0.7371813809972139 TOP MAIN SOLVE Loop x[1] 0.7400000000000005 y[1] (analytic) 0.0 y[1] (numeric) 0.4448560670151485 absolute error 0.4448560670151485 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8219473396548495 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0832545872937327 Order of pole (six term test) -0.7392829539373942 TOP MAIN SOLVE Loop x[1] 0.7500000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.4532549788006626 absolute error 0.4532549788006626 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8330439826320941 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0982720070996215 Order of pole (six term test) -0.7413980216975595 TOP MAIN SOLVE Loop x[1] 0.7600000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.46168809369883834 absolute error 0.46168809369883834 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8441402233312943 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1132812277202215 Order of pole (six term test) -0.7435266276032042 TOP MAIN SOLVE Loop x[1] 0.7700000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.47015509773109576 absolute error 0.47015509773109576 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8552360581831138 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1282830131234278 Order of pole (six term test) -0.7456689535520429 TOP MAIN SOLVE Loop x[1] 0.7800000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.4786556783137767 absolute error 0.4786556783137767 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8663314836447958 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1432781680820048 Order of pole (six term test) -0.7478252173731601 TOP MAIN SOLVE Loop x[1] 0.7900000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.48718952399869037 absolute error 0.48718952399869037 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8774264961995683 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.158268290167001 Order of pole (six term test) -0.7499960526066367 TOP MAIN SOLVE Loop x[1] 0.8000000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.49575632422452215 absolute error 0.49575632422452215 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8885210923560342 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1732553612133854 Order of pole (six term test) -0.7521823162757091 TOP MAIN SOLVE Loop x[1] 0.8100000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.5043557690784478 absolute error 0.5043557690784478 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8996152686476064 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.188242789973187 Order of pole (six term test) -0.7543856304810035 TOP MAIN SOLVE Loop x[1] 0.8200000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.5129875490673452 absolute error 0.5129875490673452 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9107090216319474 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2032350810490824 Order of pole (six term test) -0.7566082344111731 TOP MAIN SOLVE Loop x[1] 0.8300000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.5216513548980379 absolute error 0.5216513548980379 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9218023478904133 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2182383739105778 Order of pole (six term test) -0.758853290225808 TOP MAIN SOLVE Loop x[1] 0.8400000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.5303468772660476 absolute error 0.5303468772660476 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9328952440274693 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2332621052069122 Order of pole (six term test) -0.7611257789911168 TOP MAIN SOLVE Loop x[1] 0.8500000000000006 y[1] (analytic) 0.0 y[1] (numeric) 0.5390738066523675 absolute error 0.5390738066523675 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9439877066701464 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2483189115699413 Order of pole (six term test) -0.7634325136563849 TOP MAIN SOLVE Loop x[1] 0.8600000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5478318331278059 absolute error 0.5478318331278059 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9550797324674218 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.263427079772339 Order of pole (six term test) -0.7657835009410743 TOP MAIN SOLVE Loop x[1] 0.8700000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5566206461644778 absolute error 0.5566206461644778 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9661713180895897 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2786121830840516 Order of pole (six term test) -0.7681929255508742 TOP MAIN SOLVE Loop x[1] 0.8800000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5654399344540538 absolute error 0.5654399344540538 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9772624602275477 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2939098247602832 Order of pole (six term test) -0.770680770736794 TOP MAIN SOLVE Loop x[1] 0.8900000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5742893857324022 absolute error 0.5742893857324022 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9883531555919889 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3093703972366495 Order of pole (six term test) -0.773275606524626 TOP MAIN SOLVE Loop x[1] 0.9000000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5831686866102829 absolute error 0.5831686866102829 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9994434009124715 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3250643671826126 Order of pole (six term test) -0.7760177904756045 TOP MAIN SOLVE Loop x[1] 0.9100000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.5920775224097793 absolute error 0.5920775224097793 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0105331929362715 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3410894321000641 Order of pole (six term test) -0.7789638550264861 TOP MAIN SOLVE Loop x[1] 0.9200000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6010155770061701 absolute error 0.6010155770061701 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0216225284269569 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3575827372008784 Order of pole (six term test) -0.7821939465387011 TOP MAIN SOLVE Loop x[1] 0.9300000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6099825326749674 absolute error 0.6099825326749674 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0327114041626126 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3747348250399145 Order of pole (six term test) -0.7858206634718723 TOP MAIN SOLVE Loop x[1] 0.9400000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6189780699438624 absolute error 0.6189780699438624 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0437998169335376 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3928121701983416 Order of pole (six term test) -0.7900033656810734 TOP MAIN SOLVE Loop x[1] 0.9500000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6280018674493402 absolute error 0.6280018674493402 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.054887763539204 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4121857160675362 Order of pole (six term test) -0.7949670171596512 TOP MAIN SOLVE Loop x[1] 0.9600000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6370536017977376 absolute error 0.6370536017977376 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0659752407842797 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4333738109308072 Order of pole (six term test) -0.8010311549458802 TOP MAIN SOLVE Loop x[1] 0.9700000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.6461329474305355 absolute error 0.6461329474305355 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0770622454733767 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4571029171272898 Order of pole (six term test) -0.8086525460670213 TOP MAIN SOLVE Loop x[1] 0.9800000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.6552395764936887 absolute error 0.6552395764936887 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0881487744039502 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4843957693637597 Order of pole (six term test) -0.8184900896677814 TOP MAIN SOLVE Loop x[1] 0.9900000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.6643731587108103 absolute error 0.6643731587108103 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0992348243569026 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5167018729201038 Order of pole (six term test) -0.8315064901711811 TOP MAIN SOLVE Loop x[1] 1.0000000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6735333612600399 absolute error 0.6735333612600399 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.110320392083889 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5561010653606897 Order of pole (six term test) -0.8491366080692195 TOP MAIN SOLVE Loop x[1] 1.0100000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6827198486544341 absolute error 0.6827198486544341 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1214054742903532 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6056245455060747 Order of pole (six term test) -0.8735739223153463 TOP MAIN SOLVE Loop x[1] 1.0200000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.6919322826257295 absolute error 0.6919322826257295 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.132490067612714 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6698025067930937 Order of pole (six term test) -0.9082968273829319 TOP MAIN SOLVE Loop x[1] 1.0300000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7011703220113387 absolute error 0.7011703220113387 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.143574168587728 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.75565809938288 Order of pole (six term test) -0.9591047651455185 TOP MAIN SOLVE Loop x[1] 1.0400000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7104336226444468 absolute error 0.7104336226444468 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1546577736113908 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8746874375486196 Order of pole (six term test) -1.0363632712809512 TOP MAIN SOLVE Loop x[1] 1.0500000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.719721837247086 absolute error 0.719721837247086 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1657408788837804 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.047308297717747 Order of pole (six term test) -1.1605197236798492 TOP MAIN SOLVE Loop x[1] 1.0600000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7290346153260744 absolute error 0.7290346153260744 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1768234803351236 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.3146364326507336 Order of pole (six term test) -1.3782627610372167 TOP MAIN SOLVE Loop x[1] 1.0700000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7383716030717083 absolute error 0.7383716030717083 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1879055735267412 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.778350588555943 Order of pole (six term test) -1.8246782626017328 TOP MAIN SOLVE Loop x[1] 1.0800000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7477324432591119 absolute error 0.7477324432591119 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1989871535184868 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 3.812103037225714 Order of pole (six term test) -3.1221404237657655 TOP MAIN SOLVE Loop x[1] 1.0900000000000007 y[1] (analytic) 0.0 y[1] (numeric) 0.7571167751521464 absolute error 0.7571167751521464 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.210068214691401 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 12.251752276350265 Order of pole (six term test) -29.034581601241275 TOP MAIN SOLVE Loop x[1] 1.1000000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.7665242344097927 absolute error 0.7665242344097927 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2211487505107197 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1100000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.7759544529949255 absolute error 0.7759544529949255 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2322287532094403 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1200000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.7854070590854011 absolute error 0.7854070590854011 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2433082133661506 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1300000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.7948816769873882 absolute error 0.7948816769873882 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2543871193421479 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1400000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8043779270508746 absolute error 0.8043779270508746 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2654654565316275 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1500000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8138954255872881 absolute error 0.8138954255872881 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2765432063636346 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.1600000000000008 y[1] (analytic) 0.0 y[1] (numeric) 0.8234337847891722 absolute error 0.8234337847891722 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2876203449744497 Order of pole (ratio test) Not computed 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) 0.0 y[1] (numeric) 0.8329926126518649 absolute error 0.8329926126518649 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2986968414429088 Order of pole (ratio test) Not computed 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) 0.0 y[1] (numeric) 0.8425715128971287 absolute error 0.8425715128971287 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3097726554462088 Order of pole (ratio test) Not computed 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) 0.0 y[1] (numeric) 0.8521700848986868 absolute error 0.8521700848986868 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.320847734148124 Order of pole (ratio test) Not computed 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) 0.0 y[1] (numeric) 0.8617879236096208 absolute error 0.8617879236096208 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3319220080706067 Order of pole (ratio test) Not computed 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) 0.0 y[1] (numeric) 0.8714246194915913 absolute error 0.8714246194915913 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3429953856199786 Order of pole (ratio test) Not computed 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) 0.0 y[1] (numeric) 0.8810797584458455 absolute error 0.8810797584458455 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3540677458333863 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2300000000000009 y[1] (analytic) 0.0 y[1] (numeric) 0.8907529217459755 absolute error 0.8907529217459755 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3651389287718803 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2400000000000009 y[1] (analytic) 0.0 y[1] (numeric) 0.9004436859723985 absolute error 0.9004436859723985 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3762087228032656 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.2500000000000009 y[1] (analytic) 0.0 y[1] (numeric) 0.9101516229485298 absolute error 0.9101516229485298 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3872768477757824 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.260000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.919876299678622 absolute error 0.919876299678622 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3983429327653443 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.270000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9296172782872473 absolute error 0.9296172782872473 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4094064866589817 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.280000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9393741159604027 absolute error 0.9393741159604027 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4204668592846736 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.290000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9491463648882162 absolute error 0.9491463648882162 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4315231900694205 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.300000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.95893357220924 absolute error 0.95893357220924 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4425743402497595 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.310000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9687352799563125 absolute error 0.9687352799563125 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4536188033972124 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.320000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9785510250039781 absolute error 0.9785510250039781 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.464654587362699 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.330000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9883803390174521 absolute error 0.9883803390174521 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4756790585616621 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.340000000000001 y[1] (analytic) 0.0 y[1] (numeric) 0.9982227484031211 absolute error 0.9982227484031211 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4866887366533295 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.350000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.0080777742605693 absolute error 1.0080777742605693 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.497679023898568 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.360000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.0179449323361265 absolute error 1.0179449323361265 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5086438485321645 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.370000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.0278237329779298 absolute error 1.0278237329779298 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5195751949928438 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.380000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.0377136810924974 absolute error 1.0377136810924974 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.530462485346783 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.390000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.0476142761028098 absolute error 1.0476142761028098 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5412917651085998 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.400000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.0575250119078983 absolute error 1.0575250119078983 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.552044632128002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.410000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.0674453768439414 absolute error 1.0674453768439414 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5626968282803002 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.420000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.077374853646868 absolute error 1.077374853646868 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5732163891367534 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.430000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.0873129194164721 absolute error 1.0873129194164721 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5835612150769458 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.440000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.0972590455820417 absolute error 1.0972590455820417 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5936758866334588 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.450000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.1072126978695036 absolute error 1.1072126978695036 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6034874951846403 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.460000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.1171733362700944 absolute error 1.1171733362700944 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6129001953122366 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.470000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.1271404150105595 absolute error 1.1271404150105595 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6217881054039376 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.480000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.1371133825248907 absolute error 1.1371133825248907 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6299860876731387 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.490000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.1470916814276069 absolute error 1.1470916814276069 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6372778295162564 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.500000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.157074748488591 absolute error 1.157074748488591 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6433805320665877 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5100000000000011 y[1] (analytic) 0.0 y[1] (numeric) 1.1670620146094906 absolute error 1.1670620146094906 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6479254057674972 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5200000000000011 y[1] (analytic) 0.0 y[1] (numeric) 1.1770529048016913 absolute error 1.1770529048016913 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6504331110234485 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5300000000000011 y[1] (analytic) 0.0 y[1] (numeric) 1.1870468381658787 absolute error 1.1870468381658787 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6502833282260099 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5400000000000011 y[1] (analytic) 0.0 y[1] (numeric) 1.197043227873196 absolute error 1.197043227873196 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6466779068822728 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5500000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.207041481148013 absolute error 1.207041481148013 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6385977111607806 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5600000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.2170409992523206 absolute error 1.2170409992523206 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6247546310250516 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5700000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.227041177471761 absolute error 1.227041177471761 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.6035426630457554 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5800000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.2370414051033118 absolute error 1.2370414051033118 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.5729959728916507 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.5900000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.2470410654446398 absolute error 1.2470410654446398 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.530767875194519 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6000000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.2570395357851345 absolute error 1.2570395357851345 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.4741527322468313 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6100000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.2670361873986469 absolute error 1.2670361873986469 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.400181744325797 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6200000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.2770303855379408 absolute error 1.2770303855379408 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3058300148233617 Order of pole (ratio test) Not computed NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6300000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.2870214894308822 absolute error 1.2870214894308822 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6400000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.2970088522783787 absolute error 1.2970088522783787 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6500000000000012 y[1] (analytic) 0.0 y[1] (numeric) 1.3069918212540905 absolute error 1.3069918212540905 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6600000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.316969737505931 absolute error 1.316969737505931 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6700000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.3269419361593762 absolute error 1.3269419361593762 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6800000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.3369077463226007 absolute error 1.3369077463226007 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007553965537013607 Order of pole (three term test) -0.5406249928693957 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.6900000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.346866491093465 absolute error 1.346866491093465 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017673475432481045 Order of pole (three term test) 0.9674198985198883 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7000000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.3568174875683678 absolute error 1.3568174875683678 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.029139571442038586 Order of pole (three term test) 3.78903111088722 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7100000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.366760046852991 absolute error 1.366760046852991 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04291839195596048 Order of pole (three term test) 8.163927078988316 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7200000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.3766934740749521 absolute error 1.3766934740749521 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.060118413433716954 Order of pole (three term test) 14.44998164130569 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7300000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.3866170683983898 absolute error 1.3866170683983898 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.08203138989360596 Order of pole (three term test) 23.131766335191546 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7400000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.396530123040503 absolute error 1.396530123040503 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.11014757996084523 Order of pole (three term test) 34.82160934625436 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7500000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.4064319252900637 absolute error 1.4064319252900637 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.14612244306555633 Order of pole (three term test) 50.24220565854139 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7600000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.4163217565279285 absolute error 1.4163217565279285 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.19166294336026682 Order of pole (three term test) 70.17535737437517 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7700000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.426198892249569 absolute error 1.426198892249569 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.24829930495359676 Order of pole (three term test) 95.3596406050725 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7800000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.4360626020896454 absolute error 1.4360626020896454 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.3170249747730349 Order of pole (three term test) 126.32637958201147 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.7900000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.4459121498486447 absolute error 1.4459121498486447 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0271540891513238 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.39783800875067415 Order of pole (three term test) 163.18526331706232 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8000000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.4557467935216075 absolute error 1.4557467935216075 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1075982446327692 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.48930218845765155 Order of pole (three term test) 205.40989432619563 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8100000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.4655657853289668 absolute error 1.4655657853289668 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1734100735911794 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5883297835929603 Order of pole (three term test) 251.71444812134737 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8200000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.4753683717495205 absolute error 1.4753683717495205 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.226288320907298 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6903910962356352 Order of pole (three term test) 300.11962972721506 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8300000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.4851537935555652 absolute error 1.4851537935555652 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2679690443061966 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7902112383530633 Order of pole (three term test) 348.2456608780167 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8400000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.4949212858502088 absolute error 1.4949212858502088 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.300116260290627 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8827642809711529 Order of pole (three term test) 393.7565244269003 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8500000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.5046700781068922 absolute error 1.5046700781068922 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3242557650891267 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9641915851851407 Order of pole (three term test) 434.7895410149597 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8600000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.5143993942111398 absolute error 1.5143993942111398 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3417422163605597 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0323110102513626 Order of pole (three term test) 470.2127973210196 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8700000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.5241084525045636 absolute error 1.5241084525045636 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.353749585181334 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0866157148434363 Order of pole (three term test) 499.65298756996555 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8800000000000014 y[1] (analytic) 0.0 y[1] (numeric) 1.5337964658311471 absolute error 1.5337964658311471 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3612766035086934 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1278993698416464 Order of pole (three term test) 523.3462795841369 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.8900000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.5434626415858304 absolute error 1.5434626415858304 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3651608198510612 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1577413554188787 Order of pole (three term test) 541.9147282875675 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 1.9000000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.5531061817654215 absolute error 1.5531061817654215 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3660967681618983 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1780404104540867 Order of pole (three term test) 556.1554629704266 Radius of convergence (six term test) for eq 1 0.23952026241674806 Order of pole (six term test) -11.853291155434722 TOP MAIN SOLVE Loop x[1] 1.9100000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.5627262830218598 absolute error 1.5627262830218598 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3646553087221485 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1906850105332925 Order of pole (three term test) 566.8865278058968 Radius of convergence (six term test) for eq 1 0.9042115373588007 Order of pole (six term test) -15.164786916832838 TOP MAIN SOLVE Loop x[1] 1.9200000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.572322136717854 absolute error 1.572322136717854 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3613023625467657 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1973669934986564 Order of pole (three term test) 574.8558153386278 Radius of convergence (six term test) for eq 1 1.3429413407397623 Order of pole (six term test) -19.47300382860325 TOP MAIN SOLVE Loop x[1] 1.9300000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.5818929289849184 absolute error 1.5818929289849184 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3543233663655732 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1995049973581575 Order of pole (three term test) 580.7001000112303 Radius of convergence (six term test) for eq 1 1.7577059948931841 Order of pole (six term test) -25.107083924492976 TOP MAIN SOLVE Loop x[1] 1.9400000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.5914378407838343 absolute error 1.5914378407838343 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3443117255469879 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1982366474849628 Order of pole (three term test) 584.9364962512922 Radius of convergence (six term test) for eq 1 2.187421480224202 Order of pole (six term test) -32.54747454253105 TOP MAIN SOLVE Loop x[1] 1.9500000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.600956047967558 absolute error 1.600956047967558 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3340715594919443 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1944462467256898 Order of pole (three term test) 587.9714350526511 Radius of convergence (six term test) for eq 1 2.6567411920651076 Order of pole (six term test) -42.53508592664789 TOP MAIN SOLVE Loop x[1] 1.9600000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.6104467213466003 absolute error 1.6104467213466003 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.323657743421341 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1888061108508372 Order of pole (three term test) 590.117052402622 Radius of convergence (six term test) for eq 1 3.19202053759399 Order of pole (six term test) -56.2886038111277 TOP MAIN SOLVE Loop x[1] 1.9700000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.6199090267569034 absolute error 1.6199090267569034 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.31311171317696 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1818192693051244 Order of pole (three term test) 591.6091183274085 Radius of convergence (six term test) for eq 1 3.8307243445797226 Order of pole (six term test) -75.97121782355431 TOP MAIN SOLVE Loop x[1] 1.9800000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.629342125130236 absolute error 1.629342125130236 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.3024647303874453 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.173857715044843 Order of pole (three term test) 592.623583421371 Radius of convergence (six term test) for eq 1 4.635635836424577 Order of pole (six term test) -105.80379804040696 TOP MAIN SOLVE Loop x[1] 1.9900000000000015 y[1] (analytic) 0.0 y[1] (numeric) 1.638745172567133 absolute error 1.638745172567133 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2917403631244244 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1651941704419262 Order of pole (three term test) 593.2905956640062 Radius of convergence (six term test) for eq 1 5.727259716805319 Order of pole (six term test) -155.14601506337868 TOP MAIN SOLVE Loop x[1] 2.0000000000000013 y[1] (analytic) 0.0 y[1] (numeric) 1.6481173204124018 absolute error 1.6481173204124018 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2809563676126305 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1560272864601542 Order of pole (three term test) 593.7057889446639 Radius of convergence (six term test) for eq 1 7.379812956138216 Order of pole (six term test) -249.17085188085684 TOP MAIN SOLVE Loop x[1] 2.010000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.6574577153332206 absolute error 1.6574577153332206 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2701261137460553 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1465010459152296 Order of pole (three term test) 593.9390849886872 Radius of convergence (six term test) for eq 1 10.426379966745724 Order of pole (six term test) -483.3414135266208 TOP MAIN SOLVE Loop x[1] 2.020000000000001 y[1] (analytic) 0.0 y[1] (numeric) 1.6667654993998502 absolute error 1.6667654993998502 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2592596637947178 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.1367194050814076 Order of pole (three term test) 594.0414090392867 Radius of convergence (six term test) for eq 1 20.16605599222753 Order of pole (six term test) -1762.3988933889375 TOP MAIN SOLVE Loop x[1] 2.0300000000000007 y[1] (analytic) 0.0 y[1] (numeric) 1.6760398101689844 absolute error 1.6760398101689844 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2483645878641652 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.126757187620045 Order of pole (three term test) 594.0497374150785 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0400000000000005 y[1] (analytic) 0.0 y[1] (numeric) 1.6852797807697601 absolute error 1.6852797807697601 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2374465797876253 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.116668108896661 Order of pole (three term test) 593.9908510803695 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.0500000000000003 y[1] (analytic) 0.0 y[1] (numeric) 1.6944845399924524 absolute error 1.6944845399924524 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2265099218997453 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.10649064341476 Order of pole (three term test) 593.8841055281606 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.06 y[1] (analytic) 0.0 y[1] (numeric) 1.703653212379874 absolute error 1.703653212379874 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2155578354828906 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.096252292030524 Order of pole (three term test) 593.7434633040783 NO COMPLEX POLE (six term test) for Equation 1 TOP MAIN SOLVE Loop x[1] 2.07 y[1] (analytic) 0.0 y[1] (numeric) 1.7127849183215054 absolute error 1.7127849183215054 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.2045927448020541 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0859726724164092 Order of pole (three term test) 593.5789790139027 Radius of convergence (six term test) for eq 1 16.612862814398415 Order of pole (six term test) -1056.4614404772785 TOP MAIN SOLVE Loop x[1] 2.0799999999999996 y[1] (analytic) 0.0 y[1] (numeric) 1.7218787741503743 absolute error 1.7218787741503743 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1936164758786285 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0756657503440334 Order of pole (three term test) 593.3978808778652 Radius of convergence (six term test) for eq 1 8.730555788540935 Order of pole (six term test) -282.81298484546465 TOP MAIN SOLVE Loop x[1] 2.0899999999999994 y[1] (analytic) 0.0 y[1] (numeric) 1.7309338922427078 absolute error 1.7309338922427078 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1826304060147843 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0653414463033346 Order of pole (three term test) 593.2053562843907 Radius of convergence (six term test) for eq 1 6.065305860706259 Order of pole (six term test) -131.68465937876005 TOP MAIN SOLVE Loop x[1] 2.099999999999999 y[1] (analytic) 0.0 y[1] (numeric) 1.739949381120379 absolute error 1.739949381120379 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1716355761846124 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.055006790077812 Order of pole (three term test) 593.0051212551297 Radius of convergence (six term test) for eq 1 4.630395647199506 Order of pole (six term test) -73.60422504158547 TOP MAIN SOLVE Loop x[1] 2.109999999999999 y[1] (analytic) 0.0 y[1] (numeric) 1.7489243455561687 absolute error 1.7489243455561687 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.160632775441675 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0446667488548687 Order of pole (three term test) 592.7998324689663 Radius of convergence (six term test) for eq 1 3.719730897496991 Order of pole (six term test) -45.22788774709781 TOP MAIN SOLVE Loop x[1] 2.1199999999999988 y[1] (analytic) 0.0 y[1] (numeric) 1.7578578866818624 absolute error 1.7578578866818624 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1496226042616422 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0343248202341304 Order of pole (three term test) 592.5913849113236 Radius of convergence (six term test) for eq 1 3.091068607562649 Order of pole (six term test) -29.49235605842255 TOP MAIN SOLVE Loop x[1] 2.1299999999999986 y[1] (analytic) 0.0 y[1] (numeric) 1.7667491020992045 absolute error 1.7667491020992045 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.138605522034471 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0239834563331638 Order of pole (three term test) 592.3811266420149 Radius of convergence (six term test) for eq 1 2.635288635613053 Order of pole (six term test) -20.05876461212268 TOP MAIN SOLVE Loop x[1] 2.1399999999999983 y[1] (analytic) 0.0 y[1] (numeric) 1.7755970859937285 absolute error 1.7755970859937285 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1275818826434383 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0136443665944985 Order of pole (three term test) 592.1700135092274 Radius of convergence (six term test) for eq 1 2.294788563455071 Order of pole (six term test) -14.100840419242706 TOP MAIN SOLVE Loop x[1] 2.149999999999998 y[1] (analytic) 0.0 y[1] (numeric) 1.7844009292514824 absolute error 1.7844009292514824 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1165519610938164 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 1.0033087336972266 Order of pole (three term test) 591.9587204611707 Radius of convergence (six term test) for eq 1 2.0356696577710376 Order of pole (six term test) -10.198247524794706 TOP MAIN SOLVE Loop x[1] 2.159999999999998 y[1] (analytic) 0.0 y[1] (numeric) 1.7931597195786715 absolute error 1.7931597195786715 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.1055159734273556 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9929773674186381 Order of pole (three term test) 591.7477216012459 Radius of convergence (six term test) for eq 1 1.8362659841551392 Order of pole (six term test) -7.573896198753977 TOP MAIN SOLVE Loop x[1] 2.1699999999999977 y[1] (analytic) 0.0 y[1] (numeric) 1.8018725416242318 absolute error 1.8018725416242318 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0944740915997433 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9826508139442507 Order of pole (three term test) 591.5373475797021 Radius of convergence (six term test) for eq 1 1.6817885060440032 Order of pole (six term test) -5.774854602283046 TOP MAIN SOLVE Loop x[1] 2.1799999999999975 y[1] (analytic) 0.0 y[1] (numeric) 1.8105384771053579 absolute error 1.8105384771053579 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0834264545848387 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9723294336369135 Order of pole (three term test) 591.3278268177867 Radius of convergence (six term test) for eq 1 1.5616036729024751 Order of pole (six term test) -4.523975752357202 TOP MAIN SOLVE Loop x[1] 2.1899999999999973 y[1] (analytic) 0.0 y[1] (numeric) 1.8191566049359986 absolute error 1.8191566049359986 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0723731766566271 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.962013456059728 Order of pole (three term test) 591.1193149401348 Radius of convergence (six term test) for eq 1 1.4677689262277747 Order of pole (six term test) -3.645116556914026 TOP MAIN SOLVE Loop x[1] 2.199999999999997 y[1] (analytic) 0.0 y[1] (numeric) 1.82772600135834 absolute error 1.82772600135834 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.061314353557919 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9517030190882132 Order of pole (three term test) 590.9119159095291 Radius of convergence (six term test) for eq 1 1.3942034657472089 Order of pole (six term test) -3.022923412129508 TOP MAIN SOLVE Loop x[1] 2.209999999999997 y[1] (analytic) 0.0 y[1] (numeric) 1.8362457400772918 absolute error 1.8362457400772918 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.050250067092773 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.941398196458238 Order of pole (three term test) 590.7056970496321 Radius of convergence (six term test) for eq 1 1.3361913675149613 Order of pole (six term test) -2.5800409116748266 TOP MAIN SOLVE Loop x[1] 2.2199999999999966 y[1] (analytic) 0.0 y[1] (numeric) 1.8447148923979904 absolute error 1.8447148923979904 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0391803885413669 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9310990172544368 Order of pole (three term test) 590.5006997819422 Radius of convergence (six term test) for eq 1 1.290060809627029 Order of pole (six term test) -2.2636153451875387 TOP MAIN SOLVE Loop x[1] 2.2299999999999964 y[1] (analytic) 0.0 y[1] (numeric) 1.8531325273663382 absolute error 1.8531325273663382 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0281053811978995 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9208054797098061 Order of pole (three term test) 590.2969473104824 Radius of convergence (six term test) for eq 1 1.2529587094141208 Order of pole (six term test) -2.0370021520976014 TOP MAIN SOLVE Loop x[1] 2.239999999999996 y[1] (analytic) 0.0 y[1] (numeric) 1.8614977119125904 absolute error 1.8614977119125904 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.017025102253237 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9105175607864422 Order of pole (three term test) 590.0944500036154 Radius of convergence (six term test) for eq 1 1.2226794591248378 Order of pole (six term test) -1.874502481183086 TOP MAIN SOLVE Loop x[1] 2.249999999999996 y[1] (analytic) 0.0 y[1] (numeric) 1.8698095109980029 absolute error 1.8698095109980029 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 1.0059396041949986 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.9002352230374594 Order of pole (three term test) 589.8932093003618 Radius of convergence (six term test) for eq 1 1.1975293300326721 Order of pole (six term test) -1.7579371547483085 TOP MAIN SOLVE Loop x[1] 2.259999999999996 y[1] (analytic) 0.0 y[1] (numeric) 1.8780669877645562 absolute error 1.8780669877645562 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.994848935842087 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8899584193213278 Order of pole (three term test) 589.6932204170625 Radius of convergence (six term test) for eq 1 1.176216426589929 Order of pole (six term test) -1.674361610980048 TOP MAIN SOLVE Loop x[1] 2.2699999999999956 y[1] (analytic) 0.0 y[1] (numeric) 1.8862692036877657 absolute error 1.8862692036877657 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.983753143114683 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8796870961420646 Order of pole (three term test) 589.4944742918805 Radius of convergence (six term test) for eq 1 1.1577615985002447 Order of pole (six term test) -1.6145141286155038 TOP MAIN SOLVE Loop x[1] 2.2799999999999954 y[1] (analytic) 0.0 y[1] (numeric) 1.8944152187325913 absolute error 1.8944152187325913 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.972652269604572 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8694211959463802 Order of pole (three term test) 589.2969589351713 Radius of convergence (six term test) for eq 1 1.1414270757412122 Order of pole (six term test) -1.571746453036745 TOP MAIN SOLVE Loop x[1] 2.289999999999995 y[1] (analytic) 0.0 y[1] (numeric) 1.9025040915124534 absolute error 1.9025040915124534 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9615463569972853 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8591606587878572 Order of pole (three term test) 589.1006604277243 Radius of convergence (six term test) for eq 1 1.1266595828776398 Order of pole (six term test) -1.5412742960224772 TOP MAIN SOLVE Loop x[1] 2.299999999999995 y[1] (analytic) 0.0 y[1] (numeric) 1.9105348794513686 absolute error 1.9105348794513686 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9504354453871309 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.848905423371399 Order of pole (three term test) 588.9055635482651 Radius of convergence (six term test) for eq 1 1.1130460862173575 Order of pole (six term test) -1.5196507494185134 TOP MAIN SOLVE Loop x[1] 2.3099999999999947 y[1] (analytic) 0.0 y[1] (numeric) 1.9185066389492114 absolute error 1.9185066389492114 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.939319573511249 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8386554278683531 Order of pole (three term test) 588.7116522784445 Radius of convergence (six term test) for eq 1 1.1002795598639135 Order of pole (six term test) -1.504391784238937 TOP MAIN SOLVE Loop x[1] 2.3199999999999945 y[1] (analytic) 0.0 y[1] (numeric) 1.9264184255501082 absolute error 1.9264184255501082 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9281987789237965 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8284106104231128 Order of pole (three term test) 588.5189101204693 Radius of convergence (six term test) for eq 1 1.088132635998604 Order of pole (six term test) -1.493707712261175 TOP MAIN SOLVE Loop x[1] 2.3299999999999943 y[1] (analytic) 0.0 y[1] (numeric) 1.9342692941139716 absolute error 1.9342692941139716 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.9170730981275172 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8181709095010281 Order of pole (three term test) 588.3273203198945 Radius of convergence (six term test) for eq 1 1.0764368349535278 Order of pole (six term test) -1.486305662186565 TOP MAIN SOLVE Loop x[1] 2.339999999999994 y[1] (analytic) 0.0 y[1] (numeric) 1.942058298991179 absolute error 1.942058298991179 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.905942566672612 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.8079362641683577 Order of pole (three term test) 588.1368660536846 Radius of convergence (six term test) for eq 1 1.065068747925193 Order of pole (six term test) -1.4812593511072691 TOP MAIN SOLVE Loop x[1] 2.349999999999994 y[1] (analytic) 0.0 y[1] (numeric) 1.9497844942003981 absolute error 1.9497844942003981 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8948072192320656 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7977066141767005 Order of pole (three term test) 587.9475304853166 Radius of convergence (six term test) for eq 1 1.05393725485472 Order of pole (six term test) -1.4778998576248537 TOP MAIN SOLVE Loop x[1] 2.3599999999999937 y[1] (analytic) 0.0 y[1] (numeric) 1.9574469336095637 absolute error 1.9574469336095637 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8836670896599613 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7874819001380011 Order of pole (three term test) 587.7592968926115 Radius of convergence (six term test) for eq 1 1.042975750511446 Order of pole (six term test) -1.475747863782109 TOP MAIN SOLVE Loop x[1] 2.3699999999999934 y[1] (analytic) 0.0 y[1] (numeric) 1.965044671120004 absolute error 1.965044671120004 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8725222110355174 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7772620635269496 Order of pole (three term test) 587.5721486717301 Radius of convergence (six term test) for eq 1 1.0321357284064576 Order of pole (six term test) -1.4744609707716396 TOP MAIN SOLVE Loop x[1] 2.3799999999999932 y[1] (analytic) 0.0 y[1] (numeric) 1.9725767608537177 absolute error 1.9725767608537177 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8613726157003735 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7670470467684647 Order of pole (three term test) 587.3860694087894 Radius of convergence (six term test) for eq 1 1.0213817546708779 Order of pole (six term test) -1.4737937597486273 TOP MAIN SOLVE Loop x[1] 2.389999999999993 y[1] (analytic) 0.0 y[1] (numeric) 1.9800422573437968 absolute error 1.9800422573437968 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8502183352869257 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.756836793207673 Order of pole (three term test) 587.201042863222 Radius of convergence (six term test) for eq 1 1.0106876853831803 Order of pole (six term test) -1.4735689089586774 TOP MAIN SOLVE Loop x[1] 2.399999999999993 y[1] (analytic) 0.0 y[1] (numeric) 1.987440215727994 absolute error 1.987440215727994 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8390594007417127 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7466312471440301 Order of pole (three term test) 587.0170530011764 Radius of convergence (six term test) for eq 1 1.0000354608904913 Order of pole (six term test) -1.4736656731012943 TOP MAIN SOLVE Loop x[1] 2.4099999999999926 y[1] (analytic) 0.0 y[1] (numeric) 1.994769691945425 absolute error 1.994769691945425 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8278958423466609 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7364303538126951 Order of pole (three term test) 586.8340839901625 Radius of convergence (six term test) for eq 1 0.9894113368699319 Order of pole (six term test) -1.473994383522225 TOP MAIN SOLVE Loop x[1] 2.4199999999999924 y[1] (analytic) 0.0 y[1] (numeric) 2.0020297429364 absolute error 2.0020297429364 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8167276897345419 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.726234059391667 Order of pole (three term test) 586.6521202127509 Radius of convergence (six term test) for eq 1 0.9788056060416154 Order of pole (six term test) -1.4744929208107997 TOP MAIN SOLVE Loop x[1] 2.429999999999992 y[1] (analytic) 0.0 y[1] (numeric) 2.0092194268453722 absolute error 2.0092194268453722 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.8055549719063372 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7160423109828701 Order of pole (three term test) 586.4711462608417 Radius of convergence (six term test) for eq 1 0.9682111257329281 Order of pole (six term test) -1.4751167725283114 TOP MAIN SOLVE Loop x[1] 2.439999999999992 y[1] (analytic) 0.0 y[1] (numeric) 2.0163378032269925 absolute error 2.0163378032269925 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7943777172437898 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.7058550565792193 Order of pole (three term test) 586.2911469175576 Radius of convergence (six term test) for eq 1 0.957623347823874 Order of pole (six term test) -1.4758381976126795 TOP MAIN SOLVE Loop x[1] 2.4499999999999917 y[1] (analytic) 0.0 y[1] (numeric) 2.0233839332552486 absolute error 2.0233839332552486 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7831959535215811 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.695672245082934 Order of pole (three term test) 586.1121071815758 Radius of convergence (six term test) for eq 1 0.9470385057688069 Order of pole (six term test) -1.4766350703630309 TOP MAIN SOLVE Loop x[1] 2.4599999999999915 y[1] (analytic) 0.0 y[1] (numeric) 2.03035687993568 absolute error 2.03035687993568 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7720097079197078 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6854938262574911 Order of pole (three term test) 585.93401223542 Radius of convergence (six term test) for eq 1 0.9364541855459396 Order of pole (six term test) -1.4774938748638977 TOP MAIN SOLVE Loop x[1] 2.4699999999999913 y[1] (analytic) 0.0 y[1] (numeric) 2.0372557083206395 absolute error 2.0372557083206395 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7608190070333161 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6753197507286115 Order of pole (three term test) 585.7568474555757 Radius of convergence (six term test) for eq 1 0.9258684755479583 Order of pole (six term test) -1.4784044671356167 TOP MAIN SOLVE Loop x[1] 2.479999999999991 y[1] (analytic) 0.0 y[1] (numeric) 2.0440794857275777 absolute error 2.0440794857275777 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7496238768843777 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6651499699572401 Order of pole (three term test) 585.5805983970873 Radius of convergence (six term test) for eq 1 0.9152803152920759 Order of pole (six term test) -1.4793619267551819 TOP MAIN SOLVE Loop x[1] 2.489999999999991 y[1] (analytic) 0.0 y[1] (numeric) 2.0508272819603253 absolute error 2.0508272819603253 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.738424342929918 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.654984436228379 Order of pole (three term test) 585.4052507924437 Radius of convergence (six term test) for eq 1 0.904688888533281 Order of pole (six term test) -1.4803629478287217 TOP MAIN SOLVE Loop x[1] 2.4999999999999907 y[1] (analytic) 0.0 y[1] (numeric) 2.057498169533337 absolute error 2.057498169533337 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7272204300718854 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6448231026371307 Order of pole (three term test) 585.2307905473539 Radius of convergence (six term test) for eq 1 0.8940934445313328 Order of pole (six term test) -1.4814048346274191 TOP MAIN SOLVE Loop x[1] 2.5099999999999905 y[1] (analytic) 0.0 y[1] (numeric) 2.064091223898864 absolute error 2.064091223898864 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7160121626666197 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6346659230598222 Order of pole (three term test) 585.0572037221257 Radius of convergence (six term test) for eq 1 0.883494188491515 Order of pole (six term test) -1.482490242524161 TOP MAIN SOLVE Loop x[1] 2.5199999999999902 y[1] (analytic) 0.0 y[1] (numeric) 2.0706055236770076 absolute error 2.0706055236770076 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.7047995645327799 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6245128521586018 Order of pole (three term test) 584.8844765441487 Radius of convergence (six term test) for eq 1 0.8728896630525642 Order of pole (six term test) -1.4836131684883878 TOP MAIN SOLVE Loop x[1] 2.52999999999999 y[1] (analytic) 0.0 y[1] (numeric) 2.0770401508886156 absolute error 2.0770401508886156 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6935826589597399 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6143638453269028 Order of pole (three term test) 584.7125953631066 Radius of convergence (six term test) for eq 1 0.862281867146121 Order of pole (six term test) -1.4847859489311936 TOP MAIN SOLVE Loop x[1] 2.53999999999999 y[1] (analytic) 0.0 y[1] (numeric) 2.0833941911909597 absolute error 2.0833941911909597 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6823614687159906 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.6042188587337783 Order of pole (three term test) 584.5415467006923 Radius of convergence (six term test) for eq 1 0.851668903978151 Order of pole (six term test) -1.4860006416606915 TOP MAIN SOLVE Loop x[1] 2.5499999999999896 y[1] (analytic) 0.0 y[1] (numeric) 2.089666734116142 absolute error 2.089666734116142 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6711360160562573 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5940778492450075 Order of pole (three term test) 584.3713171809313 Radius of convergence (six term test) for eq 1 0.8410514972048782 Order of pole (six term test) -1.4872631806233745 TOP MAIN SOLVE Loop x[1] 2.5599999999999894 y[1] (analytic) 0.0 y[1] (numeric) 2.095856873312159 absolute error 2.095856873312159 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6599063227294756 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5839407744615954 Order of pole (three term test) 584.2018935737656 Radius of convergence (six term test) for eq 1 0.830429770864775 Order of pole (six term test) -1.4885764351680049 TOP MAIN SOLVE Loop x[1] 2.569999999999989 y[1] (analytic) 0.0 y[1] (numeric) 2.101963706786555 absolute error 2.101963706786555 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6486724099855482 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5738075926641695 Order of pole (three term test) 584.0332627455425 Radius of convergence (six term test) for eq 1 0.8198037298630162 Order of pole (six term test) -1.4899428866173228 TOP MAIN SOLVE Loop x[1] 2.579999999999989 y[1] (analytic) 0.0 y[1] (numeric) 2.1079863371525747 absolute error 2.1079863371525747 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6374342985826473 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5636782628295491 Order of pole (three term test) 583.8654116807537 Radius of convergence (six term test) for eq 1 0.8091738235389273 Order of pole (six term test) -1.491367376358438 TOP MAIN SOLVE Loop x[1] 2.5899999999999888 y[1] (analytic) 0.0 y[1] (numeric) 2.1139238718777276 absolute error 2.1139238718777276 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6261920087930248 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5535527446002101 Order of pole (three term test) 583.6983274553846 Radius of convergence (six term test) for eq 1 0.7985392887426472 Order of pole (six term test) -1.4928489133101213 TOP MAIN SOLVE Loop x[1] 2.5999999999999885 y[1] (analytic) 0.0 y[1] (numeric) 2.1197754235346578 absolute error 2.1197754235346578 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6149455604104149 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5434309982720156 Order of pole (three term test) 583.531997227555 Radius of convergence (six term test) for eq 1 0.7879012896262839 Order of pole (six term test) -1.4943962919197702 TOP MAIN SOLVE Loop x[1] 2.6099999999999883 y[1] (analytic) 0.0 y[1] (numeric) 2.1255401100542044 absolute error 2.1255401100542044 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.6036949727551044 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5333129847936686 Order of pole (three term test) 583.3664082409186 Radius of convergence (six term test) for eq 1 0.7772599943929079 Order of pole (six term test) -1.496013510497951 TOP MAIN SOLVE Loop x[1] 2.619999999999988 y[1] (analytic) 0.0 y[1] (numeric) 2.1312170549805196 absolute error 2.1312170549805196 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5924402646803174 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5231986657539368 Order of pole (three term test) 583.2015478138658 Radius of convergence (six term test) for eq 1 0.7666151823080936 Order of pole (six term test) -1.497702929081317 TOP MAIN SOLVE Loop x[1] 2.629999999999988 y[1] (analytic) 0.0 y[1] (numeric) 2.1368053877280997 absolute error 2.1368053877280997 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5811814545766428 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.5130880033501654 Order of pole (three term test) 583.0374033064852 Radius of convergence (six term test) for eq 1 0.7559678724416996 Order of pole (six term test) -1.499473203078404 TOP MAIN SOLVE Loop x[1] 2.6399999999999877 y[1] (analytic) 0.0 y[1] (numeric) 2.142304243840567 absolute error 2.142304243840567 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5699185603783947 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.502980960402993 Order of pole (three term test) 582.8739621388762 Radius of convergence (six term test) for eq 1 0.7453170948679845 Order of pole (six term test) -1.5013236888339314 TOP MAIN SOLVE Loop x[1] 2.6499999999999875 y[1] (analytic) 0.0 y[1] (numeric) 2.147712765251014 absolute error 2.147712765251014 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5586515995677442 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.49287750032351313 Order of pole (three term test) 582.7112117532366 Radius of convergence (six term test) for eq 1 0.7346642865627987 Order of pole (six term test) -1.5032656459441611 TOP MAIN SOLVE Loop x[1] 2.6599999999999873 y[1] (analytic) 0.0 y[1] (numeric) 2.153030100543705 absolute error 2.153030100543705 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5473805891786268 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.482777587111645 Order of pole (three term test) 582.5491396115024 Radius of convergence (six term test) for eq 1 0.7240098505870413 Order of pole (six term test) -1.5053056841972552 TOP MAIN SOLVE Loop x[1] 2.669999999999987 y[1] (analytic) 0.0 y[1] (numeric) 2.158255405216904 absolute error 2.158255405216904 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5361055458017304 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.47268118536985804 Order of pole (three term test) 582.3877332109861 Radius of convergence (six term test) for eq 1 0.7133533840265947 Order of pole (six term test) -1.507446995522189 TOP MAIN SOLVE Loop x[1] 2.679999999999987 y[1] (analytic) 0.0 y[1] (numeric) 2.163387841946557 absolute error 2.163387841946557 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5248264855870817 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.46258826025244326 Order of pole (three term test) 582.2269800203675 Radius of convergence (six term test) for eq 1 0.7026956406430774 Order of pole (six term test) -1.5096987123526908 TOP MAIN SOLVE Loop x[1] 2.6899999999999866 y[1] (analytic) 0.0 y[1] (numeric) 2.168426580850539 absolute error 2.168426580850539 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5135434242484875 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4524987774790856 Order of pole (three term test) 582.0668674913699 Radius of convergence (six term test) for eq 1 0.6920376952830704 Order of pole (six term test) -1.5120719738833426 TOP MAIN SOLVE Loop x[1] 2.6999999999999864 y[1] (analytic) 0.0 y[1] (numeric) 2.173370799753123 absolute error 2.173370799753123 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.5022563770653525 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4424127033320996 Order of pole (three term test) 581.9073830509686 Radius of convergence (six term test) for eq 1 0.6813795108848522 Order of pole (six term test) -1.5145732335207995 TOP MAIN SOLVE Loop x[1] 2.709999999999986 y[1] (analytic) 0.0 y[1] (numeric) 2.178219684449288 absolute error 2.178219684449288 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.49096535888554055 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.43233000463402405 Order of pole (three term test) 581.7485140652974 Radius of convergence (six term test) for eq 1 0.6707214258814694 Order of pole (six term test) -1.517211404146149 TOP MAIN SOLVE Loop x[1] 2.719999999999986 y[1] (analytic) 0.0 y[1] (numeric) 2.1829724289684274 absolute error 2.1829724289684274 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.47967038412718044 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4222506487607789 Order of pole (three term test) 581.5902478494056 Radius of convergence (six term test) for eq 1 0.6600639156770365 Order of pole (six term test) -1.519996683333865 TOP MAIN SOLVE Loop x[1] 2.7299999999999858 y[1] (analytic) 0.0 y[1] (numeric) 2.187628235836966 absolute error 2.187628235836966 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.46837146677967106 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4121746035935833 Order of pole (three term test) 581.4325715903179 Radius of convergence (six term test) for eq 1 0.6494092549381503 Order of pole (six term test) -1.522948460125253 TOP MAIN SOLVE Loop x[1] 2.7399999999999856 y[1] (analytic) 0.0 y[1] (numeric) 2.192186316339304 absolute error 2.192186316339304 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.45706862040516866 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.4021018375810308 Order of pole (three term test) 581.2754724214284 Radius of convergence (six term test) for eq 1 0.6387575128051975 Order of pole (six term test) -1.5260767273917306 TOP MAIN SOLVE Loop x[1] 2.7499999999999853 y[1] (analytic) 0.0 y[1] (numeric) 2.196645890776447 absolute error 2.196645890776447 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.44576185813845187 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.3920323196645462 Order of pole (three term test) 581.1189373033841 Radius of convergence (six term test) for eq 1 0.6281085266133958 Order of pole (six term test) -1.5293916570001613 TOP MAIN SOLVE Loop x[1] 2.759999999999985 y[1] (analytic) 0.0 y[1] (numeric) 2.20100618872156 absolute error 2.20100618872156 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.43445119268605104 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.38196601931055346 Order of pole (three term test) 580.9629530503156 Radius of convergence (six term test) for eq 1 0.6174651358256895 Order of pole (six term test) -1.5329182714557952 TOP MAIN SOLVE Loop x[1] 2.769999999999985 y[1] (analytic) 0.0 y[1] (numeric) 2.2052664492715888 absolute error 2.2052664492715888 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4231366363260399 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.3719029065100914 Order of pole (three term test) 580.8075063113297 Radius of convergence (six term test) for eq 1 0.6068266827763192 Order of pole (six term test) -1.5366670065717845 TOP MAIN SOLVE Loop x[1] 2.7799999999999847 y[1] (analytic) 0.0 y[1] (numeric) 2.209425921293934 absolute error 2.209425921293934 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.4118182009052533 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.3618429517501528 Order of pole (three term test) 580.6525835018462 Radius of convergence (six term test) for eq 1 0.5961956954487844 Order of pole (six term test) -1.5406644415640471 TOP MAIN SOLVE Loop x[1] 2.7899999999999845 y[1] (analytic) 0.0 y[1] (numeric) 2.213483863667027 absolute error 2.213483863667027 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.40049589783747813 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.3517861260290042 Order of pole (three term test) 580.4981707987188 Radius of convergence (six term test) for eq 1 0.5855739191225847 Order of pole (six term test) -1.544935461061046 TOP MAIN SOLVE Loop x[1] 2.7999999999999843 y[1] (analytic) 0.0 y[1] (numeric) 2.2174395455134412 absolute error 2.2174395455134412 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.38916973809880395 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.34173240085611933 Order of pole (three term test) 580.3442541087517 Radius of convergence (six term test) for eq 1 0.5749639903109164 Order of pole (six term test) -1.5495110966565395 TOP MAIN SOLVE Loop x[1] 2.809999999999984 y[1] (analytic) 0.0 y[1] (numeric) 2.221292246423964 absolute error 2.221292246423964 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.3778397322240604 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.3316817482484728 Order of pole (three term test) 580.1908190261328 Radius of convergence (six term test) for eq 1 0.564363667657707 Order of pole (six term test) -1.5544027746794278 TOP MAIN SOLVE Loop x[1] 2.819999999999984 y[1] (analytic) 0.0 y[1] (numeric) 2.2250412566707625 absolute error 2.2250412566707625 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.36650589030020014 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.3216341407146717 Order of pole (three term test) 580.037850760257 Radius of convergence (six term test) for eq 1 0.5537814621089945 Order of pole (six term test) -1.5596737878019198 TOP MAIN SOLVE Loop x[1] 2.8299999999999836 y[1] (analytic) 0.0 y[1] (numeric) 2.22868587740746 absolute error 2.22868587740746 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.35516822195997355 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.3115895512825373 Order of pole (three term test) 579.8853341345357 Radius of convergence (six term test) for eq 1 0.5432155743801803 Order of pole (six term test) -1.5653440473064002 TOP MAIN SOLVE Loop x[1] 2.8399999999999834 y[1] (analytic) 0.0 y[1] (numeric) 2.2322254208535304 absolute error 2.2322254208535304 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.3438267363734689 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.30154795347864033 Order of pole (three term test) 579.7332534913587 Radius of convergence (six term test) for eq 1 0.5326721157474295 Order of pole (six term test) -1.5714737291172458 TOP MAIN SOLVE Loop x[1] 2.849999999999983 y[1] (analytic) 0.0 y[1] (numeric) 2.2356592104599295 absolute error 2.2356592104599295 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.33248144223807014 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.29150932135159635 Order of pole (three term test) 579.5815926687317 Radius of convergence (six term test) for eq 1 0.5221519526671304 Order of pole (six term test) -1.5781039913626334 TOP MAIN SOLVE Loop x[1] 2.859999999999983 y[1] (analytic) 0.0 y[1] (numeric) 2.238986581052295 absolute error 2.238986581052295 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.321132347767089 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2814736294547216 Order of pole (three term test) 579.4303348883246 Radius of convergence (six term test) for eq 1 0.5116654598981872 Order of pole (six term test) -1.5853259194341742 TOP MAIN SOLVE Loop x[1] 2.869999999999983 y[1] (analytic) 0.0 y[1] (numeric) 2.242206878947294 absolute error 2.242206878947294 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.30977946067623136 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2714408528738796 Order of pole (three term test) 579.2794627206383 Radius of convergence (six term test) for eq 1 0.5012125896981491 Order of pole (six term test) -1.593189933412015 TOP MAIN SOLVE Loop x[1] 2.8799999999999826 y[1] (analytic) 0.0 y[1] (numeric) 2.245319462036806 absolute error 2.245319462036806 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.2984227881679921 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.26141096722741786 Order of pole (three term test) 579.1289579807558 Radius of convergence (six term test) for eq 1 0.49080136009744624 Order of pole (six term test) -1.6017927036618254 TOP MAIN SOLVE Loop x[1] 2.8899999999999824 y[1] (analytic) 0.0 y[1] (numeric) 2.24832369983347 absolute error 2.24832369983347 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.2870623369132609 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2513839486582834 Order of pole (three term test) 578.9788015856651 Radius of convergence (six term test) for eq 1 0.48044201073614673 Order of pole (six term test) -1.6112529831972058 TOP MAIN SOLVE Loop x[1] 2.899999999999982 y[1] (analytic) 0.0 y[1] (numeric) 2.2512189734697157 absolute error 2.2512189734697157 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.275698113030306 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.24135977388388455 Order of pole (three term test) 578.8289735208282 Radius of convergence (six term test) for eq 1 0.4701416906574601 Order of pole (six term test) -1.6216889413182578 TOP MAIN SOLVE Loop x[1] 2.909999999999982 y[1] (analytic) 0.0 y[1] (numeric) 2.254004675640575 absolute error 2.254004675640575 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.26433012206048195 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.2313384201756671 Order of pole (three term test) 578.6794526247619 Radius of convergence (six term test) for eq 1 0.459917370662428 Order of pole (six term test) -1.633283729404404 TOP MAIN SOLVE Loop x[1] 2.9199999999999817 y[1] (analytic) 0.0 y[1] (numeric) 2.25668021047827 absolute error 2.25668021047827 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.25295836893963586 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.22131986539643303 Order of pole (three term test) 578.5302164748816 Radius of convergence (six term test) for eq 1 0.44977755992133217 Order of pole (six term test) -1.6462027834522353 TOP MAIN SOLVE Loop x[1] 2.9299999999999815 y[1] (analytic) 0.0 y[1] (numeric) 2.2592449933435876 absolute error 2.2592449933435876 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.24158285796542686 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.21130408801048922 Order of pole (three term test) 578.3812411729365 Radius of convergence (six term test) for eq 1 0.43974839641836455 Order of pole (six term test) -1.6607273915864482 TOP MAIN SOLVE Loop x[1] 2.9399999999999813 y[1] (analytic) 0.0 y[1] (numeric) 2.2616984505151962 absolute error 2.2616984505151962 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.23020359275907745 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.20129106711677278 Order of pole (three term test) 578.2325011440054 Radius of convergence (six term test) for eq 1 0.4298562687191434 Order of pole (six term test) -1.6771813724665154 TOP MAIN SOLVE Loop x[1] 2.949999999999981 y[1] (analytic) 0.0 y[1] (numeric) 2.2640400187529606 absolute error 2.2640400187529606 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.2188205762209161 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.19128078247843333 Order of pole (three term test) 578.0839688728672 Radius of convergence (six term test) for eq 1 0.42012833334264477 Order of pole (six term test) -1.6959459191117627 TOP MAIN SOLVE Loop x[1] 2.959999999999981 y[1] (analytic) 0.0 y[1] (numeric) 2.266269144704548 absolute error 2.266269144704548 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.20743381047794573 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.1812732145529556 Order of pole (three term test) 577.9356145706594 Radius of convergence (six term test) for eq 1 0.4106082045996871 Order of pole (six term test) -1.7175597477461615 TOP MAIN SOLVE Loop x[1] 2.9699999999999807 y[1] (analytic) 0.0 y[1] (numeric) 2.268385284115524 absolute error 2.268385284115524 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.19604329682270552 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.1712683445304665 Order of pole (three term test) 577.7874057724002 Radius of convergence (six term test) for eq 1 0.4013664742132809 Order of pole (six term test) -1.7428107152202514 TOP MAIN SOLVE Loop x[1] 2.9799999999999804 y[1] (analytic) 0.0 y[1] (numeric) 2.270387900790675 absolute error 2.270387900790675 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.18464903564051133 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.16126615439819722 Order of pole (three term test) 577.6393069061631 Radius of convergence (six term test) for eq 1 0.3924744761921653 Order of pole (six term test) -1.7726453116704093 TOP MAIN SOLVE Loop x[1] 2.9899999999999802 y[1] (analytic) 0.0 y[1] (numeric) 2.272276465237079 absolute error 2.272276465237079 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.1732510263230095 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.15126662698710674 Order of pole (three term test) 577.4912786548075 Radius of convergence (six term test) for eq 1 0.384047463103496 Order of pole (six term test) -1.8084794020490218 TOP MAIN SOLVE Loop x[1] 2.99999999999998 y[1] (analytic) 0.0 y[1] (numeric) 2.27405045289509 absolute error 2.27405045289509 relative error -1.0% Correct digits -1 h 0.01 NO INFO (given) for Equation 1 Radius of convergence (ratio test) for eq 1 0.161849267163877 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.14126974605001025 Order of pole (three term test) 577.3432772237891 Radius of convergence (six term test) for eq 1 0.3762543105495304 Order of pole (six term test) -1.8523944836696309 Finished! diff ( y , x , 1 ) = expt (sin(x) , (0.2 * x + 0.3)); Iterations 291 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.6896551724131%