##############ECHO OF PROBLEM################# ##############temp/sing4postode.ode################# diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0); ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK x_start=-2.0 x_end=1.0 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=50 ## Not Given = 0 ## No Pole = 3 ## Pole = 4 $glob_type_given_pole=4 ## Real Part $array_given_rad_poles[1][1]=0.0 ## Imag Part $array_given_rad_poles[1][2]=1.0 ## Order $array_given_ord_poles[1][1]=1.0 ## Not Used $array_given_ord_poles[1][2]=0.0 # ELIMINATED in preodein.rb #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(1.0 / (x * x + 1.0)) 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 3.0 estimated_steps 3000000.0 step_error 3.3333333333333335e-17 est_needed_step_err 3.3333333333333335e-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 1.7536349118946195e-167 estimated_step_error 1.7536349118946195e-167 best_h 2.0e-06 opt_iter 2 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.1768422476818487e-159 estimated_step_error 1.1768422476818487e-159 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 7.897624833197517e-152 estimated_step_error 7.897624833197517e-152 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 5.299966309252228e-144 estimated_step_error 5.299966309252228e-144 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 3.5566934961108624e-136 estimated_step_error 3.5566934961108624e-136 best_h 3.2e-05 opt_iter 6 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.386784543783182e-128 estimated_step_error 2.386784543783182e-128 best_h 6.4e-05 opt_iter 7 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.6016472776503506e-120 estimated_step_error 1.6016472776503506e-120 best_h 0.000128 opt_iter 8 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.0747174782403845e-112 estimated_step_error 1.0747174782403845e-112 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 7.210564417420875e-105 estimated_step_error 7.210564417420875e-105 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 4.836588753527983e-97 estimated_step_error 4.836588753527983e-97 best_h 0.001024 opt_iter 11 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 3.242639233830558e-89 estimated_step_error 3.242639233830558e-89 best_h 0.002048 opt_iter 12 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 2.171880439137025e-81 estimated_step_error 2.171880439137025e-81 best_h 0.004096 opt_iter 13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.4518556937501575e-73 estimated_step_error 1.4518556937501575e-73 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 9.666957169645852e-66 estimated_step_error 9.666957169645852e-66 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 6.384468120020156e-58 estimated_step_error 6.384468120020156e-58 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 4.144978295262252e-50 estimated_step_error 4.144978295262252e-50 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 2.590479623172475e-42 estimated_step_error 2.590479623172475e-42 best_h 0.131072 opt_iter 18 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 max_estimated_step_error 1.4715350520327546e-34 estimated_step_error 1.4715350520327546e-34 best_h 0.1 START of Soultion TOP MAIN SOLVE Loop x[1] -2.0 y[1] (analytic) 0.2 y[1] (numeric) 0.2 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.23606797749979 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.236067977499935 Order of pole (six term test) 1.0000000000017746 TOP MAIN SOLVE Loop x[1] -1.99 y[1] (analytic) 0.2016088385314812 y[1] (numeric) 0.20160883853148123 absolute error 2.7755575615628914e-17 relative error 1.3767043061108099e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.2271281956816047 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0011074701350507748 Order of pole (three term test) -0.8974866636184891 Radius of convergence (six term test) for eq 1 2.227128195681643 Order of pole (six term test) 1.0000000000004583 TOP MAIN SOLVE Loop x[1] -1.98 y[1] (analytic) 0.20323550930818632 y[1] (numeric) 0.20323550930818635 absolute error 2.7755575615628914e-17 relative error 1.3656853425914051e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.2181974664127626 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009403966542792288 Order of pole (three term test) -1.3186640511580827 Radius of convergence (six term test) for eq 1 2.2181974664129673 Order of pole (six term test) 1.0000000000024762 TOP MAIN SOLVE Loop x[1] -1.97 y[1] (analytic) 0.20488024749533895 y[1] (numeric) 0.204880247495339 absolute error 5.551115123125783e-17 relative error 2.7094437804464635e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.2092758994747577 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.015483276239966618 Order of pole (three term test) -2.420779408031582 Radius of convergence (six term test) for eq 1 2.209275899474884 Order of pole (six term test) 1.0000000000015188 TOP MAIN SOLVE Loop x[1] -1.96 y[1] (analytic) 0.20654329147389294 y[1] (numeric) 0.20654329147389297 absolute error 2.7755575615628914e-17 relative error 1.3438139490062894e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.2003636063160106 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.019309262307854638 Order of pole (three term test) -4.197173604726942 Radius of convergence (six term test) for eq 1 2.2003636063161336 Order of pole (six term test) 1.0000000000014815 TOP MAIN SOLVE Loop x[1] -1.95 y[1] (analytic) 0.20822488287350338 y[1] (numeric) 0.20822488287350344 absolute error 5.551115123125783e-17 relative error 2.665923037881157e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.191460700081113 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.020856990487525966 Order of pole (three term test) -6.636477211794842 Radius of convergence (six term test) for eq 1 2.1914607000811843 Order of pole (six term test) 1.000000000000874 TOP MAIN SOLVE Loop x[1] -1.94 y[1] (analytic) 0.2099252666050886 y[1] (numeric) 0.20992526660508865 absolute error 5.551115123125783e-17 relative error 2.644329200052198e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.182567295640618 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.020114225719280805 Order of pole (three term test) -9.722016327564818 Radius of convergence (six term test) for eq 1 2.182567295640634 Order of pole (six term test) 1.0000000000001954 TOP MAIN SOLVE Loop x[1] -1.93 y[1] (analytic) 0.21164469089292895 y[1] (numeric) 0.211644690892929 absolute error 5.551115123125783e-17 relative error 2.622846384525701e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1736835096213984 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01708332535847145 Order of pole (three term test) -13.431122740504458 Radius of convergence (six term test) for eq 1 2.1736835096213944 Order of pole (six term test) 0.9999999999999591 TOP MAIN SOLVE Loop x[1] -1.92 y[1] (analytic) 0.21338340730624786 y[1] (numeric) 0.2133834073062479 absolute error 5.551115123125783e-17 relative error 2.601474591301667e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1648094604375694 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.011783528507381624 Order of pole (three term test) -17.734361553929332 Radius of convergence (six term test) for eq 1 2.1648094604376515 Order of pole (six term test) 1.0000000000009877 TOP MAIN SOLVE Loop x[1] -1.91 y[1] (analytic) 0.21514167079021537 y[1] (numeric) 0.2151416707902154 absolute error 2.7755575615628914e-17 relative error 1.2901069101900474e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1559452683219953 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0042536211154803865 Order of pole (three term test) -22.594697827612297 Radius of convergence (six term test) for eq 1 2.1559452683216755 Order of pole (six term test) 0.9999999999961418 TOP MAIN SOLVE Loop x[1] -1.9 y[1] (analytic) 0.2169197396963124 y[1] (numeric) 0.2169197396963124 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1470910553583886 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1470910553584304 Order of pole (six term test) 1.000000000000501 TOP MAIN SOLVE Loop x[1] -1.89 y[1] (analytic) 0.21871787581199012 y[1] (numeric) 0.21871787581199015 absolute error 2.7755575615628914e-17 relative error 1.2690126727221695e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1382469455140116 Order of pole (given) 1.0 Radius of convergence (ratio test) for eq 1 0.9090219001654879 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 2.1382469455143296 Order of pole (six term test) 1.000000000003844 TOP MAIN SOLVE Loop x[1] -1.88 y[1] (analytic) 0.2205363443895554 y[1] (numeric) 0.22053634438955544 absolute error 2.7755575615628914e-17 relative error 1.2585488207150774e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1294130646729865 Order of pole (given) 1.0 Radius of convergence (ratio test) for eq 1 0.8403326031302475 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 2.1294130646730256 Order of pole (six term test) 1.0000000000004814 TOP MAIN SOLVE Loop x[1] -1.8699999999999999 y[1] (analytic) 0.2223754141742089 y[1] (numeric) 0.22237541417420895 absolute error 5.551115123125783e-17 relative error 2.4962809597184332e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1205895406702355 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1205895406702644 Order of pole (six term test) 1.00000000000035 TOP MAIN SOLVE Loop x[1] -1.8599999999999999 y[1] (analytic) 0.22423535743115974 y[1] (numeric) 0.2242353574311598 absolute error 5.551115123125783e-17 relative error 2.475575300309174e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1117765033260505 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.111776503326158 Order of pole (six term test) 1.0000000000013003 TOP MAIN SOLVE Loop x[1] -1.8499999999999999 y[1] (analytic) 0.22611644997173547 y[1] (numeric) 0.2261164499717355 absolute error 2.7755575615628914e-17 relative error 1.2274903316011885e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.1029740844813087 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.1029740844812896 Order of pole (six term test) 0.9999999999997691 TOP MAIN SOLVE Loop x[1] -1.8399999999999999 y[1] (analytic) 0.22801897117840209 y[1] (numeric) 0.22801897117840209 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.094182418033348 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.094182418033281 Order of pole (six term test) 0.9999999999991953 TOP MAIN SOLVE Loop x[1] -1.8299999999999998 y[1] (analytic) 0.22994320402860496 y[1] (numeric) 0.22994320402860496 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0854016399725017 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.085401639972474 Order of pole (six term test) 0.9999999999996749 TOP MAIN SOLVE Loop x[1] -1.8199999999999998 y[1] (analytic) 0.2318894351173361 y[1] (numeric) 0.2318894351173361 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.076631888419322 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.076631888419719 Order of pole (six term test) 1.0000000000047873 TOP MAIN SOLVE Loop x[1] -1.8099999999999998 y[1] (analytic) 0.2338579546783284 y[1] (numeric) 0.23385795467832843 absolute error 2.7755575615628914e-17 relative error 1.1868561688999079e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.067873303662485 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0678733036626893 Order of pole (six term test) 1.0000000000024585 TOP MAIN SOLVE Loop x[1] -1.7999999999999998 y[1] (analytic) 0.23584905660377362 y[1] (numeric) 0.23584905660377364 absolute error 2.7755575615628914e-17 relative error 1.1768364061026658e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0591260281974 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0591260281974066 Order of pole (six term test) 1.0000000000000746 TOP MAIN SOLVE Loop x[1] -1.7899999999999998 y[1] (analytic) 0.23786303846245335 y[1] (numeric) 0.23786303846245338 absolute error 2.7755575615628914e-17 relative error 1.166872154456655e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0503902067655315 Order of pole (given) 1.0 Radius of convergence (ratio test) for eq 1 0.7474366021634421 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 2.050390206765557 Order of pole (six term test) 1.0000000000003055 TOP MAIN SOLVE Loop x[1] -1.7799999999999998 y[1] (analytic) 0.2399002015161693 y[1] (numeric) 0.23990020151616934 absolute error 2.7755575615628914e-17 relative error 1.1569634139618754e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0416659863944444 Order of pole (given) 1.0 Radius of convergence (ratio test) for eq 1 0.8324802893165628 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 2.041665986394252 Order of pole (six term test) 0.9999999999976819 TOP MAIN SOLVE Loop x[1] -1.7699999999999998 y[1] (analytic) 0.24196085073435122 y[1] (numeric) 0.24196085073435125 absolute error 2.7755575615628914e-17 relative error 1.1471101846183271e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.032953516438583 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0329535164385524 Order of pole (six term test) 0.9999999999996341 TOP MAIN SOLVE Loop x[1] -1.7599999999999998 y[1] (analytic) 0.24404529480671613 y[1] (numeric) 0.2440452948067162 absolute error 5.551115123125783e-17 relative error 2.2746249328520207e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0242529486207994 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.0242529486207745 Order of pole (six term test) 0.9999999999997016 TOP MAIN SOLVE Loop x[1] -1.7499999999999998 y[1] (analytic) 0.2461538461538462 y[1] (numeric) 0.24615384615384622 absolute error 2.7755575615628914e-17 relative error 1.1275702593849245e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.0155644370746373 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.015564437074551 Order of pole (six term test) 0.9999999999989626 TOP MAIN SOLVE Loop x[1] -1.7399999999999998 y[1] (analytic) 0.24828682093554477 y[1] (numeric) 0.2482868209355448 absolute error 2.7755575615628914e-17 relative error 1.11788356349507e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 2.006888138387389 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 2.006888138387404 Order of pole (six term test) 1.0000000000001794 TOP MAIN SOLVE Loop x[1] -1.7299999999999998 y[1] (analytic) 0.2504445390568259 y[1] (numeric) 0.2504445390568259 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9982242116439284 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9982242116439244 Order of pole (six term test) 0.9999999999999538 TOP MAIN SOLVE Loop x[1] -1.7199999999999998 y[1] (analytic) 0.25262732417138245 y[1] (numeric) 0.2526273241713824 absolute error 5.551115123125783e-17 relative error 2.197353410338109e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.989572818471342 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9895728184713262 Order of pole (six term test) 0.9999999999998135 TOP MAIN SOLVE Loop x[1] -1.7099999999999997 y[1] (analytic) 0.25483550368237307 y[1] (numeric) 0.25483550368237307 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9809341230843591 Order of pole (given) 1.0 Radius of convergence (ratio test) for eq 1 1.2726518237591733 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 1.9809341230843194 Order of pole (six term test) 0.9999999999995293 TOP MAIN SOLVE Loop x[1] -1.6999999999999997 y[1] (analytic) 0.25706940874035994 y[1] (numeric) 0.25706940874035994 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9723082923316018 Order of pole (given) 1.0 Radius of convergence (ratio test) for eq 1 1.3223488448361305 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 1.9723082923315272 Order of pole (six term test) 0.9999999999991243 TOP MAIN SOLVE Loop x[1] -1.6899999999999997 y[1] (analytic) 0.25932937423822 y[1] (numeric) 0.25932937423822 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.963695495742657 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.963695495742675 Order of pole (six term test) 1.0000000000002167 TOP MAIN SOLVE Loop x[1] -1.6799999999999997 y[1] (analytic) 0.26161573880284644 y[1] (numeric) 0.26161573880284644 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9550959055759898 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9550959055759993 Order of pole (six term test) 1.000000000000112 TOP MAIN SOLVE Loop x[1] -1.6699999999999997 y[1] (analytic) 0.26392884478344647 y[1] (numeric) 0.26392884478344647 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9465096968677036 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.946509696867708 Order of pole (six term test) 1.0000000000000497 TOP MAIN SOLVE Loop x[1] -1.6599999999999997 y[1] (analytic) 0.266269038236234 y[1] (numeric) 0.266269038236234 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9379370474811608 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9379370474811277 Order of pole (six term test) 0.9999999999996234 TOP MAIN SOLVE Loop x[1] -1.6499999999999997 y[1] (analytic) 0.2686366689053057 y[1] (numeric) 0.2686366689053057 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9293781381574735 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.929378138157471 Order of pole (six term test) 1.0000000000000266 TOP MAIN SOLVE Loop x[1] -1.6399999999999997 y[1] (analytic) 0.27103209019947966 y[1] (numeric) 0.2710320901994797 absolute error 5.551115123125783e-17 relative error 2.0481394358284884e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.920833152566875 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.920833152566865 Order of pole (six term test) 0.9999999999999396 TOP MAIN SOLVE Loop x[1] -1.6299999999999997 y[1] (analytic) 0.27345565916486647 y[1] (numeric) 0.2734556591648665 absolute error 5.551115123125783e-17 relative error 2.029987289375867e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9123022773609821 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9123022773609695 Order of pole (six term test) 0.9999999999998508 TOP MAIN SOLVE Loop x[1] -1.6199999999999997 y[1] (analytic) 0.27590773645293026 y[1] (numeric) 0.27590773645293026 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.9037857022259619 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.9037857022259588 Order of pole (six term test) 1.0000000000000266 TOP MAIN SOLVE Loop x[1] -1.6099999999999997 y[1] (analytic) 0.2783886862837895 y[1] (numeric) 0.27838868628378954 absolute error 5.551115123125783e-17 relative error 1.994016063378012e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8952836199366043 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.895283619936612 Order of pole (six term test) 1.000000000000112 TOP MAIN SOLVE Loop x[1] -1.5999999999999996 y[1] (analytic) 0.28089887640449446 y[1] (numeric) 0.2808988764044945 absolute error 5.551115123125783e-17 relative error 1.976196983832778e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8867962264113205 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8867962264113214 Order of pole (six term test) 1.0000000000000266 TOP MAIN SOLVE Loop x[1] -1.5899999999999996 y[1] (analytic) 0.2834386780420057 y[1] (numeric) 0.28343867804200573 absolute error 5.551115123125783e-17 relative error 1.958488926590007e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8783237207680679 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8783237207681136 Order of pole (six term test) 1.0000000000007692 TOP MAIN SOLVE Loop x[1] -1.5799999999999996 y[1] (analytic) 0.2860084658505893 y[1] (numeric) 0.2860084658505893 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.869866305381216 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8698663053812257 Order of pole (six term test) 1.0000000000001439 TOP MAIN SOLVE Loop x[1] -1.5699999999999996 y[1] (analytic) 0.2886086178533292 y[1] (numeric) 0.28860861785332925 absolute error 5.551115123125783e-17 relative error 1.923405879011852e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8614241859393572 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8614241859394085 Order of pole (six term test) 1.0000000000008011 TOP MAIN SOLVE Loop x[1] -1.5599999999999996 y[1] (analytic) 0.2912395153774465 y[1] (numeric) 0.2912395153774466 absolute error 5.551115123125783e-17 relative error 1.906030888676468e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8529975715040747 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8529975715041547 Order of pole (six term test) 1.0000000000012363 TOP MAIN SOLVE Loop x[1] -1.5499999999999996 y[1] (analytic) 0.2939015429831007 y[1] (numeric) 0.29390154298310084 absolute error 1.1102230246251565e-16 relative error 3.7775338412870945e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8445866745696715 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8445866745697126 Order of pole (six term test) 1.0000000000006324 TOP MAIN SOLVE Loop x[1] -1.5399999999999996 y[1] (analytic) 0.29659508838533644 y[1] (numeric) 0.2965950883853365 absolute error 5.551115123125783e-17 relative error 1.8716139749130884e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8361917111238681 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8361917111239396 Order of pole (six term test) 1.00000000000108 TOP MAIN SOLVE Loop x[1] -1.5299999999999996 y[1] (analytic) 0.2993205423688229 y[1] (numeric) 0.29932054236882294 absolute error 5.551115123125783e-17 relative error 1.854572051485092e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8278129007094788 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.8278129007094872 Order of pole (six term test) 1.000000000000128 TOP MAIN SOLVE Loop x[1] -1.5199999999999996 y[1] (analytic) 0.3020782986950219 y[1] (numeric) 0.3020782986950219 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.819450466487065 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00040866234656985117 Order of pole (three term test) -0.8937877954992439 Radius of convergence (six term test) for eq 1 1.8194504664871551 Order of pole (six term test) 1.0000000000013305 TOP MAIN SOLVE Loop x[1] -1.5099999999999996 y[1] (analytic) 0.3048687540014025 y[1] (numeric) 0.30486875400140256 absolute error 5.551115123125783e-17 relative error 1.8208212715364873e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.811104635298579 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008677196947041652 Order of pole (three term test) -1.449091052969294 Radius of convergence (six term test) for eq 1 1.8111046352986313 Order of pole (six term test) 1.0000000000007745 TOP MAIN SOLVE Loop x[1] -1.4999999999999996 y[1] (analytic) 0.3076923076923078 y[1] (numeric) 0.3076923076923079 absolute error 5.551115123125783e-17 relative error 1.8041124150158787e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.8027756377319943 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.014319321864329382 Order of pole (three term test) -3.0180183118199295 Radius of convergence (six term test) for eq 1 1.8027756377320017 Order of pole (six term test) 1.0000000000001101 TOP MAIN SOLVE Loop x[1] -1.4899999999999995 y[1] (analytic) 0.3105493618210616 y[1] (numeric) 0.31054936182106163 absolute error 5.551115123125783e-17 relative error 1.7875145807977326e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.794463708186933 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017231120308801216 Order of pole (three term test) -5.571567493936945 Radius of convergence (six term test) for eq 1 1.7944637081869916 Order of pole (six term test) 1.0000000000008669 TOP MAIN SOLVE Loop x[1] -1.4799999999999995 y[1] (analytic) 0.3134403209628888 y[1] (numeric) 0.3134403209628888 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7861690849412881 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017352942652286388 Order of pole (three term test) -9.059862761054964 Radius of convergence (six term test) for eq 1 1.786169084941288 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -1.4699999999999995 y[1] (analytic) 0.31636559207820575 y[1] (numeric) 0.31636559207820575 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.777892010218843 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.014675638778086352 Order of pole (three term test) -13.410175452670337 Radius of convergence (six term test) for eq 1 1.7778920102188787 Order of pole (six term test) 1.000000000000524 TOP MAIN SOLVE Loop x[1] -1.4599999999999995 y[1] (analytic) 0.31932558436581954 y[1] (numeric) 0.3193255843658196 absolute error 5.551115123125783e-17 relative error 1.7383872119580693e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7696327302578911 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009247938082717087 Order of pole (three term test) -18.524927077512558 Radius of convergence (six term test) for eq 1 1.769632730257826 Order of pole (six term test) 0.9999999999990372 TOP MAIN SOLVE Loop x[1] -1.4499999999999995 y[1] (analytic) 0.32232070910556015 y[1] (numeric) 0.3223207091055602 absolute error 5.551115123125783e-17 relative error 1.7222334669497735e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7613914953808534 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0011845813796640104 Order of pole (three term test) -24.27996276827301 Radius of convergence (six term test) for eq 1 1.7613914953819854 Order of pole (six term test) 1.0000000000167173 TOP MAIN SOLVE Loop x[1] -1.4399999999999995 y[1] (analytic) 0.3253513794898492 y[1] (numeric) 0.3253513794898492 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7531685600648896 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7531685600648996 Order of pole (six term test) 1.0000000000001492 TOP MAIN SOLVE Loop x[1] -1.4299999999999995 y[1] (analytic) 0.3284180104436929 y[1] (numeric) 0.3284180104436929 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7449641830135076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7449641830135332 Order of pole (six term test) 1.0000000000003748 TOP MAIN SOLVE Loop x[1] -1.4199999999999995 y[1] (analytic) 0.33152101843256876 y[1] (numeric) 0.3315210184325688 absolute error 5.551115123125783e-17 relative error 1.6744383657396604e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.736778627229158 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.736778627229125 Order of pole (six term test) 0.9999999999995115 TOP MAIN SOLVE Loop x[1] -1.4099999999999995 y[1] (analytic) 0.33466082125765556 y[1] (numeric) 0.33466082125765556 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7286121600868132 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7286121600868518 Order of pole (six term test) 1.0000000000005738 TOP MAIN SOLVE Loop x[1] -1.3999999999999995 y[1] (analytic) 0.33783783783783805 y[1] (numeric) 0.33783783783783805 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7204650534085248 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7204650534085084 Order of pole (six term test) 0.9999999999997602 TOP MAIN SOLVE Loop x[1] -1.3899999999999995 y[1] (analytic) 0.3410524879779 y[1] (numeric) 0.3410524879779 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7123375835389465 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.7123375835389831 Order of pole (six term test) 1.0000000000005418 TOP MAIN SOLVE Loop x[1] -1.3799999999999994 y[1] (analytic) 0.3443051921222974 y[1] (numeric) 0.34430519212229743 absolute error 5.551115123125783e-17 relative error 1.6122658763606514e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.7042300314218144 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.704230031421668 Order of pole (six term test) 0.9999999999978506 TOP MAIN SOLVE Loop x[1] -1.3699999999999994 y[1] (analytic) 0.34759637109388597 y[1] (numeric) 0.347596371093886 absolute error 5.551115123125783e-17 relative error 1.5970003097720555e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6961426826773738 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6961426826772446 Order of pole (six term test) 0.9999999999981029 TOP MAIN SOLVE Loop x[1] -1.3599999999999994 y[1] (analytic) 0.350926445816957 y[1] (numeric) 0.35092644581695703 absolute error 5.551115123125783e-17 relative error 1.581845765485922e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.688075827680735 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6880758276807286 Order of pole (six term test) 0.9999999999999023 TOP MAIN SOLVE Loop x[1] -1.3499999999999994 y[1] (analytic) 0.35429583702391515 y[1] (numeric) 0.35429583702391526 absolute error 1.1102230246251565e-16 relative error 3.1336044870045024e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6800297616411437 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6800297616411561 Order of pole (six term test) 1.0000000000001794 TOP MAIN SOLVE Loop x[1] -1.3399999999999994 y[1] (analytic) 0.3577049649449136 y[1] (numeric) 0.3577049649449137 absolute error 1.1102230246251565e-16 relative error 3.1037394876420864e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6720047846821486 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6720047846821227 Order of pole (six term test) 0.9999999999996163 TOP MAIN SOLVE Loop x[1] -1.3299999999999994 y[1] (analytic) 0.3611542489797394 y[1] (numeric) 0.3611542489797395 absolute error 1.1102230246251565e-16 relative error 3.0740965328845945e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6640012019226424 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6640012019226311 Order of pole (six term test) 0.9999999999998312 TOP MAIN SOLVE Loop x[1] -1.3199999999999994 y[1] (analytic) 0.36464410735122543 y[1] (numeric) 0.3646441073512255 absolute error 5.551115123125783e-17 relative error 1.5223378113660138e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6560193235587555 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.656019323558697 Order of pole (six term test) 0.9999999999991438 TOP MAIN SOLVE Loop x[1] -1.3099999999999994 y[1] (analytic) 0.36817495673944284 y[1] (numeric) 0.3681749567394429 absolute error 5.551115123125783e-17 relative error 1.5077383785921927e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6480594649465772 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6480594649465625 Order of pole (six term test) 0.9999999999997868 TOP MAIN SOLVE Loop x[1] -1.2999999999999994 y[1] (analytic) 0.371747211895911 y[1] (numeric) 0.3717472118959111 absolute error 1.1102230246251565e-16 relative error 2.986499936241669e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.640121946685672 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6401219466856656 Order of pole (six term test) 0.9999999999999094 TOP MAIN SOLVE Loop x[1] -1.2899999999999994 y[1] (analytic) 0.3753612852370409 y[1] (numeric) 0.375361285237041 absolute error 1.1102230246251565e-16 relative error 2.957745159903878e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6322070947033647 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6322070947033405 Order of pole (six term test) 0.9999999999996483 TOP MAIN SOLVE Loop x[1] -1.2799999999999994 y[1] (analytic) 0.37901758641600997 y[1] (numeric) 0.37901758641601 absolute error 5.551115123125783e-17 relative error 1.4646062140855054e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6243152403397556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.624315240339742 Order of pole (six term test) 0.9999999999998028 TOP MAIN SOLVE Loop x[1] -1.2699999999999994 y[1] (analytic) 0.38271652187224947 y[1] (numeric) 0.3827165218722495 absolute error 5.551115123125783e-17 relative error 1.450450870521535e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.616446720433432 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6164467204334156 Order of pole (six term test) 0.9999999999997655 TOP MAIN SOLVE Loop x[1] -1.2599999999999993 y[1] (analytic) 0.38645849435770624 y[1] (numeric) 0.3864584943577063 absolute error 5.551115123125783e-17 relative error 1.4364065492600265e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.608601877407831 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.608601877407824 Order of pole (six term test) 0.9999999999999236 TOP MAIN SOLVE Loop x[1] -1.2499999999999993 y[1] (analytic) 0.3902439024390247 y[1] (numeric) 0.3902439024390247 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.6007810593582117 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.6007810593582168 Order of pole (six term test) 1.0000000000000817 TOP MAIN SOLVE Loop x[1] -1.2399999999999993 y[1] (analytic) 0.39407313997477955 y[1] (numeric) 0.3940731399747796 absolute error 5.551115123125783e-17 relative error 1.4086509736443978e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5929846201391897 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5929846201391922 Order of pole (six term test) 1.0000000000000853 TOP MAIN SOLVE Loop x[1] -1.2299999999999993 y[1] (analytic) 0.39794659556687517 y[1] (numeric) 0.3979465955668752 absolute error 5.551115123125783e-17 relative error 1.3949397192902771e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5852129194527775 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.585212919452771 Order of pole (six term test) 0.9999999999998863 TOP MAIN SOLVE Loop x[1] -1.2199999999999993 y[1] (analytic) 0.4018646519852116 y[1] (numeric) 0.4018646519852117 absolute error 1.1102230246251565e-16 relative error 2.762678974477238e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5774663229368793 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.57746632293688 Order of pole (six term test) 1.0000000000000036 TOP MAIN SOLVE Loop x[1] -1.2099999999999993 y[1] (analytic) 0.4058276855647095 y[1] (numeric) 0.40582768556470955 absolute error 5.551115123125783e-17 relative error 1.3678502774894232e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5697452022541742 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.569745202254186 Order of pole (six term test) 1.0000000000002167 TOP MAIN SOLVE Loop x[1] -1.1999999999999993 y[1] (analytic) 0.4098360655737707 y[1] (numeric) 0.40983606557377084 absolute error 1.1102230246251565e-16 relative error 2.7089441800853804e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5620499351813304 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5620499351813624 Order of pole (six term test) 1.0000000000005524 TOP MAIN SOLVE Loop x[1] -1.1899999999999993 y[1] (analytic) 0.41389015355324726 y[1] (numeric) 0.4138901535532473 absolute error 5.551115123125783e-17 relative error 1.3412049248984193e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5543809056984708 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0016497677320741135 Order of pole (three term test) -0.9144195410382225 Radius of convergence (six term test) for eq 1 1.5543809056984879 Order of pole (six term test) 1.0000000000002984 TOP MAIN SOLVE Loop x[1] -1.1799999999999993 y[1] (analytic) 0.4179903026249794 y[1] (numeric) 0.41799030262497944 absolute error 5.551115123125783e-17 relative error 1.3280487820566114e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5467385040788242 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009408640985014104 Order of pole (three term test) -1.857459304941408 Radius of convergence (six term test) for eq 1 1.5467385040788628 Order of pole (six term test) 1.0000000000006732 TOP MAIN SOLVE Loop x[1] -1.1699999999999993 y[1] (analytic) 0.42213685676896484 y[1] (numeric) 0.42213685676896484 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5391231269784749 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01416363850984418 Order of pole (three term test) -4.161735144861574 Radius of convergence (six term test) for eq 1 1.5391231269784609 Order of pole (six term test) 0.9999999999997637 TOP MAIN SOLVE Loop x[1] -1.1599999999999993 y[1] (analytic) 0.4263301500682131 y[1] (numeric) 0.4263301500682132 absolute error 5.551115123125783e-17 relative error 1.3020695632803827e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5315351775261312 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01572316436464573 Order of pole (three term test) -7.735128418293753 Radius of convergence (six term test) for eq 1 1.5315351775261679 Order of pole (six term test) 1.0000000000006253 TOP MAIN SOLVE Loop x[1] -1.1499999999999992 y[1] (analytic) 0.43057050592034485 y[1] (numeric) 0.4305705059203448 absolute error 5.551115123125783e-17 relative error 1.289246487345962e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5239750654128164 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01401193114084902 Order of pole (three term test) -12.425927607287806 Radius of convergence (six term test) for eq 1 1.5239750654128474 Order of pole (six term test) 1.000000000000533 TOP MAIN SOLVE Loop x[1] -1.1399999999999992 y[1] (analytic) 0.43485823621499425 y[1] (numeric) 0.43485823621499425 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5164432069813885 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009089348792332213 Order of pole (three term test) -18.02025520708508 Radius of convergence (six term test) for eq 1 1.5164432069813965 Order of pole (six term test) 1.0000000000001332 TOP MAIN SOLVE Loop x[1] -1.1299999999999992 y[1] (analytic) 0.4391936404760863 y[1] (numeric) 0.4391936404760863 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5089400253157839 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0011679326961019972 Order of pole (three term test) -24.242024218514192 Radius of convergence (six term test) for eq 1 1.5089400253158491 Order of pole (six term test) 1.0000000000011244 TOP MAIN SOLVE Loop x[1] -1.1199999999999992 y[1] (analytic) 0.4435770049680628 y[1] (numeric) 0.44357700496806285 absolute error 5.551115123125783e-17 relative error 1.2514433933574755e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.5014659503298762 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.5014659503298122 Order of pole (six term test) 0.9999999999989022 TOP MAIN SOLVE Loop x[1] -1.1099999999999992 y[1] (analytic) 0.4480086017651543 y[1] (numeric) 0.4480086017651543 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4940214188558336 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4940214188558658 Order of pole (six term test) 1.0000000000005542 TOP MAIN SOLVE Loop x[1] -1.0999999999999992 y[1] (analytic) 0.4524886877828058 y[1] (numeric) 0.4524886877828058 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.48660687473185 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4866068747318566 Order of pole (six term test) 1.000000000000119 TOP MAIN SOLVE Loop x[1] -1.0899999999999992 y[1] (analytic) 0.4570175037703948 y[1] (numeric) 0.4570175037703948 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.479222768889121 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4792227688891548 Order of pole (six term test) 1.0000000000005862 TOP MAIN SOLVE Loop x[1] -1.0799999999999992 y[1] (analytic) 0.4615952732644021 y[1] (numeric) 0.46159527326440214 absolute error 5.551115123125783e-17 relative error 1.2025935802739687e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4718695594379274 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4718695594379128 Order of pole (six term test) 0.9999999999997531 TOP MAIN SOLVE Loop x[1] -1.0699999999999992 y[1] (analytic) 0.46622220150123594 y[1] (numeric) 0.46622220150123583 absolute error 1.1102230246251565e-16 relative error 2.3813173655184958e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4645477117526755 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.464547711752626 Order of pole (six term test) 0.9999999999991598 TOP MAIN SOLVE Loop x[1] -1.0599999999999992 y[1] (analytic) 0.47089847428894377 y[1] (numeric) 0.47089847428894366 absolute error 1.1102230246251565e-16 relative error 2.35766961509398e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4572576985557488 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4572576985557677 Order of pole (six term test) 1.0000000000003233 TOP MAIN SOLVE Loop x[1] -1.0499999999999992 y[1] (analytic) 0.4756242568370991 y[1] (numeric) 0.4756242568370991 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4499999999999993 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4499999999999926 Order of pole (six term test) 0.9999999999998845 TOP MAIN SOLVE Loop x[1] -1.0399999999999991 y[1] (analytic) 0.48039969254419723 y[1] (numeric) 0.4803996925441972 absolute error 5.551115123125783e-17 relative error 1.1555201240298618e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.442775103749714 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4427751037496988 Order of pole (six term test) 0.9999999999997335 TOP MAIN SOLVE Loop x[1] -1.0299999999999991 y[1] (analytic) 0.48522490174195776 y[1] (numeric) 0.4852249017419578 absolute error 5.551115123125783e-17 relative error 1.1440293157249916e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4355835050598758 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.435583505059888 Order of pole (six term test) 1.000000000000206 TOP MAIN SOLVE Loop x[1] -1.0199999999999991 y[1] (analytic) 0.4900999803960012 y[1] (numeric) 0.4900999803960012 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4284257068535269 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4284257068535196 Order of pole (six term test) 0.9999999999998739 TOP MAIN SOLVE Loop x[1] -1.0099999999999991 y[1] (analytic) 0.4950249987624379 y[1] (numeric) 0.49502499876243794 absolute error 5.551115123125783e-17 relative error 1.1213807660226385e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4213022197970417 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4213022197970338 Order of pole (six term test) 0.9999999999998668 TOP MAIN SOLVE Loop x[1] -0.9999999999999991 y[1] (analytic) 0.5000000000000004 y[1] (numeric) 0.5000000000000004 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4142135623730945 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4142135623730934 Order of pole (six term test) 1.0006312384509002 TOP MAIN SOLVE Loop x[1] -0.9899999999999991 y[1] (analytic) 0.505024998737438 y[1] (numeric) 0.505024998737438 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4071602609511107 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4071602609510974 Order of pole (six term test) 0.9999999999997762 TOP MAIN SOLVE Loop x[1] -0.9799999999999991 y[1] (analytic) 0.5100999795960013 y[1] (numeric) 0.5100999795960013 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4001428498549704 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.4001428498549704 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -0.9699999999999991 y[1] (analytic) 0.5152248956669591 y[1] (numeric) 0.5152248956669591 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.393161871427724 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.393161871427726 Order of pole (six term test) 1.0000000000000533 TOP MAIN SOLVE Loop x[1] -0.9599999999999991 y[1] (analytic) 0.5203996669442137 y[1] (numeric) 0.5203996669442136 absolute error 1.1102230246251565e-16 relative error 2.1334045641196986e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.386217876093076 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3862178760930806 Order of pole (six term test) 1.0000000000000995 TOP MAIN SOLVE Loop x[1] -0.9499999999999991 y[1] (analytic) 0.5256241787122213 y[1] (numeric) 0.5256241787122212 absolute error 1.1102230246251565e-16 relative error 2.112199304349358e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3793114224133716 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3793114224133722 Order of pole (six term test) 1.000000000000023 TOP MAIN SOLVE Loop x[1] -0.9399999999999991 y[1] (analytic) 0.5308982798895737 y[1] (numeric) 0.5308982798895736 absolute error 1.1102230246251565e-16 relative error 2.0912160891839425e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3724430771438203 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0031633603647915312 Order of pole (three term test) -0.9997516172657825 Radius of convergence (six term test) for eq 1 1.372443077143834 Order of pole (six term test) 1.0000000000002718 TOP MAIN SOLVE Loop x[1] -0.929999999999999 y[1] (analytic) 0.5362217813287581 y[1] (numeric) 0.5362217813287581 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.36561341528267 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01030141343457698 Order of pole (three term test) -2.501448188445504 Radius of convergence (six term test) for eq 1 1.3656134152826898 Order of pole (six term test) 1.0000000000003855 TOP MAIN SOLVE Loop x[1] -0.919999999999999 y[1] (analytic) 0.5415944540727908 y[1] (numeric) 0.5415944540727908 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3588230201170417 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.014073899352244977 Order of pole (three term test) -5.680269755514648 Radius of convergence (six term test) for eq 1 1.3588230201170435 Order of pole (six term test) 1.000000000000039 TOP MAIN SOLVE Loop x[1] -0.909999999999999 y[1] (analytic) 0.5470160275696083 y[1] (numeric) 0.5470160275696083 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3520724832641178 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.014205785030338222 Order of pole (three term test) -10.309797357988511 Radius of convergence (six term test) for eq 1 1.3520724832641295 Order of pole (six term test) 1.0000000000002256 TOP MAIN SOLVE Loop x[1] -0.899999999999999 y[1] (analytic) 0.5524861878453043 y[1] (numeric) 0.5524861878453045 absolute error 1.1102230246251565e-16 relative error 2.0095036745715318e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3453624047073705 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010665530896298877 Order of pole (three term test) -16.037779759885606 Radius of convergence (six term test) for eq 1 1.3453624047073682 Order of pole (six term test) 0.9999999999999591 TOP MAIN SOLVE Loop x[1] -0.889999999999999 y[1] (analytic) 0.5580045756375208 y[1] (numeric) 0.5580045756375208 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3386933928274982 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.003703204801790985 Order of pole (three term test) -22.393585924061796 Radius of convergence (six term test) for eq 1 1.338693392827489 Order of pole (six term test) 0.999999999999817 TOP MAIN SOLVE Loop x[1] -0.879999999999999 y[1] (analytic) 0.5635707844905326 y[1] (numeric) 0.5635707844905326 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3320660644277362 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3320660644277238 Order of pole (six term test) 0.9999999999997513 TOP MAIN SOLVE Loop x[1] -0.869999999999999 y[1] (analytic) 0.5691843588138205 y[1] (numeric) 0.5691843588138203 absolute error 1.1102230246251565e-16 relative error 1.9505508319639353e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3254810447531862 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3254810447531866 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] -0.859999999999999 y[1] (analytic) 0.5748447919061859 y[1] (numeric) 0.5748447919061859 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3189389675038032 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.318938967503797 Order of pole (six term test) 0.9999999999998828 TOP MAIN SOLVE Loop x[1] -0.849999999999999 y[1] (analytic) 0.5805515239477509 y[1] (numeric) 0.5805515239477509 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3124404748406682 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3124404748406557 Order of pole (six term test) 0.9999999999997655 TOP MAIN SOLVE Loop x[1] -0.839999999999999 y[1] (analytic) 0.5863039399624772 y[1] (numeric) 0.5863039399624771 absolute error 1.1102230246251565e-16 relative error 1.8935963908006648e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.30598621738516 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3059862173851684 Order of pole (six term test) 1.0000000000001616 TOP MAIN SOLVE Loop x[1] -0.829999999999999 y[1] (analytic) 0.5921013677541601 y[1] (numeric) 0.5921013677541601 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2995768542106305 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2995768542107116 Order of pole (six term test) 1.0000000000015685 TOP MAIN SOLVE Loop x[1] -0.819999999999999 y[1] (analytic) 0.5979430758191826 y[1] (numeric) 0.5979430758191826 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2932130528261763 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2932130528261838 Order of pole (six term test) 1.0000000000001457 TOP MAIN SOLVE Loop x[1] -0.8099999999999989 y[1] (analytic) 0.6038282712396601 y[1] (numeric) 0.60382827123966 absolute error 1.1102230246251565e-16 relative error 1.8386403510817197e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2868954891520905 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2868954891520883 Order of pole (six term test) 0.9999999999999591 TOP MAIN SOLVE Loop x[1] -0.7999999999999989 y[1] (analytic) 0.6097560975609763 y[1] (numeric) 0.6097560975609762 absolute error 1.1102230246251565e-16 relative error 1.8207657603852548e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2806248474865691 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2806248474865711 Order of pole (six term test) 1.000000000000039 TOP MAIN SOLVE Loop x[1] -0.7899999999999989 y[1] (analytic) 0.6157256326580882 y[1] (numeric) 0.6157256326580881 absolute error 1.1102230246251565e-16 relative error 1.8031132142937148e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2744018204632315 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2744018204632273 Order of pole (six term test) 0.9999999999999218 TOP MAIN SOLVE Loop x[1] -0.7799999999999989 y[1] (analytic) 0.6217358865953749 y[1] (numeric) 0.6217358865953748 absolute error 1.1102230246251565e-16 relative error 1.7856827128071e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2682271089990145 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2682271089990136 Order of pole (six term test) 0.9999999999999751 TOP MAIN SOLVE Loop x[1] -0.7699999999999989 y[1] (analytic) 0.6277857994852163 y[1] (numeric) 0.6277857994852162 absolute error 1.1102230246251565e-16 relative error 1.7684742559254102e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2621014222319846 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2621014222319797 Order of pole (six term test) 0.999999999999897 TOP MAIN SOLVE Loop x[1] -0.7599999999999989 y[1] (analytic) 0.6338742393509135 y[1] (numeric) 0.6338742393509134 absolute error 1.1102230246251565e-16 relative error 1.751487843648645e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.256025477448606 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2560254774486066 Order of pole (six term test) 1.0000000000000195 TOP MAIN SOLVE Loop x[1] -0.7499999999999989 y[1] (analytic) 0.6400000000000007 y[1] (numeric) 0.6400000000000006 absolute error 1.1102230246251565e-16 relative error 1.7347234759768052e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2499999999999993 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2499999999999987 Order of pole (six term test) 0.9999999999999929 TOP MAIN SOLVE Loop x[1] -0.7399999999999989 y[1] (analytic) 0.6461617989144489 y[1] (numeric) 0.6461617989144488 absolute error 1.1102230246251565e-16 relative error 1.7181811529098903e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2440257232067182 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.004039999612215101 Order of pole (three term test) -1.1109196667412211 Radius of convergence (six term test) for eq 1 1.2440257232067164 Order of pole (six term test) 0.9999999999999609 TOP MAIN SOLVE Loop x[1] -0.7299999999999989 y[1] (analytic) 0.6523582751647211 y[1] (numeric) 0.6523582751647211 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2381033882515622 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010804992384557769 Order of pole (three term test) -3.13942176438208 Radius of convergence (six term test) for eq 1 1.2381033882515633 Order of pole (six term test) 1.0000000000000266 TOP MAIN SOLVE Loop x[1] -0.7199999999999989 y[1] (analytic) 0.6585879873551114 y[1] (numeric) 0.6585879873551113 absolute error 1.1102230246251565e-16 relative error 1.6857626405908358e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2322337440599485 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013894961002983656 Order of pole (three term test) -7.098427500344458 Radius of convergence (six term test) for eq 1 1.2322337440599567 Order of pole (six term test) 1.000000000000174 TOP MAIN SOLVE Loop x[1] -0.7099999999999989 y[1] (analytic) 0.6648494116082714 y[1] (numeric) 0.6648494116082714 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.226417547167358 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01295495946687287 Order of pole (three term test) -12.550435708122736 Radius of convergence (six term test) for eq 1 1.226417547167369 Order of pole (six term test) 1.0000000000002345 TOP MAIN SOLVE Loop x[1] -0.6999999999999988 y[1] (analytic) 0.6711409395973161 y[1] (numeric) 0.6711409395973161 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2206555615733696 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00805731141035398 Order of pole (three term test) -18.84968345505506 Radius of convergence (six term test) for eq 1 1.220655561573366 Order of pole (six term test) 0.9999999999999236 TOP MAIN SOLVE Loop x[1] -0.6899999999999988 y[1] (analytic) 0.677460876634375 y[1] (numeric) 0.677460876634375 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.214948558581802 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2149485585819753 Order of pole (six term test) 1.000000000003709 TOP MAIN SOLVE Loop x[1] -0.6799999999999988 y[1] (analytic) 0.6838074398249461 y[1] (numeric) 0.683807439824946 absolute error 1.1102230246251565e-16 relative error 1.623590151211827e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2092973166264773 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2092973166264838 Order of pole (six term test) 1.0000000000001368 TOP MAIN SOLVE Loop x[1] -0.6699999999999988 y[1] (analytic) 0.690178756297882 y[1] (numeric) 0.6901787562978818 absolute error 1.1102230246251565e-16 relative error 1.6086021403793876e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2037026210821336 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2037026210821278 Order of pole (six term test) 0.9999999999998739 TOP MAIN SOLVE Loop x[1] -0.6599999999999988 y[1] (analytic) 0.6965728615213159 y[1] (numeric) 0.6965728615213158 absolute error 1.1102230246251565e-16 relative error 1.593836174151873e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.198165264060012 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1981652640600273 Order of pole (six term test) 1.0000000000003233 TOP MAIN SOLVE Loop x[1] -0.6499999999999988 y[1] (analytic) 0.7029876977152907 y[1] (numeric) 0.7029876977152907 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1926860441876557 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1926860441876523 Order of pole (six term test) 0.9999999999999272 TOP MAIN SOLVE Loop x[1] -0.6399999999999988 y[1] (analytic) 0.709421112372305 y[1] (numeric) 0.7094211123723049 absolute error 1.1102230246251565e-16 relative error 1.564970375511619e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1872657663724657 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1872657663724544 Order of pole (six term test) 0.999999999999762 TOP MAIN SOLVE Loop x[1] -0.6299999999999988 y[1] (analytic) 0.7158708568974165 y[1] (numeric) 0.7158708568974164 absolute error 1.1102230246251565e-16 relative error 1.5508705430988796e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1819052415485762 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.181905241548603 Order of pole (six term test) 1.0000000000005649 TOP MAIN SOLVE Loop x[1] -0.6199999999999988 y[1] (analytic) 0.7223345853799488 y[1] (numeric) 0.7223345853799487 absolute error 1.1102230246251565e-16 relative error 1.536992755291065e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1766052864066177 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1766052864066183 Order of pole (six term test) 1.000000000000016 TOP MAIN SOLVE Loop x[1] -0.6099999999999988 y[1] (analytic) 0.7288098535092202 y[1] (numeric) 0.7288098535092201 absolute error 1.1102230246251565e-16 relative error 1.5233370120881758e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1713667231059617 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.17136672310596 Order of pole (six term test) 0.999999999999968 TOP MAIN SOLVE Loop x[1] -0.5999999999999988 y[1] (analytic) 0.7352941176470597 y[1] (numeric) 0.7352941176470595 absolute error 1.1102230246251565e-16 relative error 1.5099033134902113e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1661903789690595 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1661903789690573 Order of pole (six term test) 0.9999999999999485 TOP MAIN SOLVE Loop x[1] -0.5899999999999987 y[1] (analytic) 0.7417847340701736 y[1] (numeric) 0.7417847340701735 absolute error 1.1102230246251565e-16 relative error 1.496691659497172e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1610770861575033 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1610770861574988 Order of pole (six term test) 0.9999999999999041 TOP MAIN SOLVE Loop x[1] -0.5799999999999987 y[1] (analytic) 0.7482789583956908 y[1] (numeric) 0.7482789583956906 absolute error 2.220446049250313e-16 relative error 2.967404100218115e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1560276813294734 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.156027681329474 Order of pole (six term test) 1.0000000000000213 TOP MAIN SOLVE Loop x[1] -0.5699999999999987 y[1] (analytic) 0.7547739452034123 y[1] (numeric) 0.7547739452034122 absolute error 1.1102230246251565e-16 relative error 1.4709344853258684e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1510430052782556 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00637058717931227 Order of pole (three term test) -1.576206688982475 Radius of convergence (six term test) for eq 1 1.151043005278257 Order of pole (six term test) 1.0000000000000266 TOP MAIN SOLVE Loop x[1] -0.5599999999999987 y[1] (analytic) 0.7612667478684539 y[1] (numeric) 0.7612667478684537 absolute error 2.220446049250313e-16 relative error 2.916777930295208e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1461239025515515 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012165745569374877 Order of pole (three term test) -4.588444431302333 Radius of convergence (six term test) for eq 1 1.1461239025515548 Order of pole (six term test) 1.0000000000000746 TOP MAIN SOLVE Loop x[1] -0.5499999999999987 y[1] (analytic) 0.767754318618043 y[1] (numeric) 0.7677543186180429 absolute error 1.1102230246251565e-16 relative error 1.4460654895742648e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.141271221051332 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013897925122742592 Order of pole (three term test) -9.574245100927554 Radius of convergence (six term test) for eq 1 1.1412712210513372 Order of pole (six term test) 1.0000000000001155 TOP MAIN SOLVE Loop x[1] -0.5399999999999987 y[1] (analytic) 0.7742335088262629 y[1] (numeric) 0.7742335088262626 absolute error 2.220446049250313e-16 relative error 2.867928117211701e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.136485811614029 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.011266752538679333 Order of pole (three term test) -15.753539416344594 Radius of convergence (six term test) for eq 1 1.1364858116140237 Order of pole (six term test) 0.9999999999998757 TOP MAIN SOLVE Loop x[1] -0.5299999999999987 y[1] (analytic) 0.7807010695604661 y[1] (numeric) 0.7807010695604659 absolute error 2.220446049250313e-16 relative error 2.844169344484723e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.131768527570898 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.004646236257922643 Order of pole (three term test) -22.087261720673986 Radius of convergence (six term test) for eq 1 1.1317685275709108 Order of pole (six term test) 1.0000000000002949 TOP MAIN SOLVE Loop x[1] -0.5199999999999987 y[1] (analytic) 0.787153652392948 y[1] (numeric) 0.7871536523929478 absolute error 2.220446049250313e-16 relative error 2.8208546609675947e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.127120224288429 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1271202242884317 Order of pole (six term test) 1.0000000000000604 TOP MAIN SOLVE Loop x[1] -0.5099999999999987 y[1] (analytic) 0.7935878104912317 y[1] (numeric) 0.7935878104912315 absolute error 2.220446049250313e-16 relative error 2.7979840666603165e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1225417586887352 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.122541758688727 Order of pole (six term test) 0.9999999999998135 TOP MAIN SOLVE Loop x[1] -0.49999999999999867 y[1] (analytic) 0.8000000000000008 y[1] (numeric) 0.8000000000000006 absolute error 2.220446049250313e-16 relative error 2.7755575615628885e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1180339887498942 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.118033988749895 Order of pole (six term test) 1.0000000000000107 TOP MAIN SOLVE Loop x[1] -0.48999999999999866 y[1] (analytic) 0.806386581727281 y[1] (numeric) 0.8063865817272806 absolute error 3.3306690738754696e-16 relative error 4.130362718512965e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1135977729862783 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.113597772986265 Order of pole (six term test) 0.9999999999996927 TOP MAIN SOLVE Loop x[1] -0.47999999999999865 y[1] (analytic) 0.812743823146945 y[1] (numeric) 0.8127438231469446 absolute error 4.440892098500626e-16 relative error 5.464073637995164e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.109233969908963 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1092339699089568 Order of pole (six term test) 0.9999999999998579 TOP MAIN SOLVE Loop x[1] -0.46999999999999864 y[1] (analytic) 0.8190679007289713 y[1] (numeric) 0.819067900728971 absolute error 3.3306690738754696e-16 relative error 4.066413872294557e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1049434374663705 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1049434374664604 Order of pole (six term test) 1.000000000002034 TOP MAIN SOLVE Loop x[1] -0.45999999999999863 y[1] (analytic) 0.8253549026081224 y[1] (numeric) 0.825354902608122 absolute error 3.3306690738754696e-16 relative error 4.035438649907515e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1007270324653604 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1007270324653557 Order of pole (six term test) 0.9999999999998987 TOP MAIN SOLVE Loop x[1] -0.4499999999999986 y[1] (analytic) 0.8316008316008324 y[1] (numeric) 0.8316008316008322 absolute error 2.220446049250313e-16 relative error 2.670086374223499e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0965856099730649 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0965856099730626 Order of pole (six term test) 0.9999999999999574 TOP MAIN SOLVE Loop x[1] -0.4399999999999986 y[1] (analytic) 0.8378016085790894 y[1] (numeric) 0.837801608579089 absolute error 3.3306690738754696e-16 relative error 3.9754866065777566e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0925200226998124 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0925200226998109 Order of pole (six term test) 0.9999999999999662 TOP MAIN SOLVE Loop x[1] -0.4299999999999986 y[1] (analytic) 0.8439530762089636 y[1] (numeric) 0.8439530762089633 absolute error 3.3306690738754696e-16 relative error 3.94650978563504e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0885311203635837 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0012905712116828014 Order of pole (three term test) -0.9192354259660619 Radius of convergence (six term test) for eq 1 1.0885311203635835 Order of pole (six term test) 0.9999999999999964 TOP MAIN SOLVE Loop x[1] -0.4199999999999986 y[1] (analytic) 0.8500510030601844 y[1] (numeric) 0.8500510030601841 absolute error 3.3306690738754696e-16 relative error 3.918199098507099e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0846197490364993 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009286944559081063 Order of pole (three term test) -2.7028182674239365 Radius of convergence (six term test) for eq 1 1.0846197490364997 Order of pole (six term test) 1.000000000000007 TOP MAIN SOLVE Loop x[1] -0.4099999999999986 y[1] (analytic) 0.8560910880917738 y[1] (numeric) 0.8560910880917735 absolute error 3.3306690738754696e-16 relative error 3.8905545451939324e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0807867504739308 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013660611029102206 Order of pole (three term test) -6.971374245893505 Radius of convergence (six term test) for eq 1 1.080786750473932 Order of pole (six term test) 1.0000000000000266 TOP MAIN SOLVE Loop x[1] -0.3999999999999986 y[1] (analytic) 0.8620689655172422 y[1] (numeric) 0.8620689655172419 absolute error 3.3306690738754696e-16 relative error 3.863576125695541e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0770329614269003 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013556406878978772 Order of pole (three term test) -12.903400466577047 Radius of convergence (six term test) for eq 1 1.0770329614269007 Order of pole (six term test) 1.0000000000000142 TOP MAIN SOLVE Loop x[1] -0.38999999999999857 y[1] (analytic) 0.8679802100512117 y[1] (numeric) 0.8679802100512113 absolute error 4.440892098500626e-16 relative error 5.116351786682566e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0733592129385199 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00893966949962968 Order of pole (three term test) -19.283096571560414 Radius of convergence (six term test) for eq 1 1.0733592129385217 Order of pole (six term test) 1.0000000000000444 TOP MAIN SOLVE Loop x[1] -0.37999999999999856 y[1] (analytic) 0.873820342537575 y[1] (numeric) 0.8738203425375747 absolute error 3.3306690738754696e-16 relative error 3.811617688143084e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0697663296253062 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0007172565859856633 Order of pole (three term test) -24.706699238026346 Radius of convergence (six term test) for eq 1 1.0697663296252837 Order of pole (six term test) 0.9999999999994547 TOP MAIN SOLVE Loop x[1] -0.36999999999999855 y[1] (analytic) 0.879584835957429 y[1] (numeric) 0.8795848359574285 absolute error 4.440892098500626e-16 relative error 5.048850226785357e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0662551289442874 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0662551289442765 Order of pole (six term test) 0.9999999999997371 TOP MAIN SOLVE Loop x[1] -0.35999999999999854 y[1] (analytic) 0.8852691218130319 y[1] (numeric) 0.8852691218130316 absolute error 2.220446049250313e-16 relative error 2.5082158572331516e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0628264204469133 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.062826420446908 Order of pole (six term test) 0.9999999999998757 TOP MAIN SOLVE Loop x[1] -0.34999999999999853 y[1] (analytic) 0.8908685968819607 y[1] (numeric) 0.8908685968819604 absolute error 3.3306690738754696e-16 relative error 3.738676035425211e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.059481005020854 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0594810050208525 Order of pole (six term test) 0.9999999999999627 TOP MAIN SOLVE Loop x[1] -0.3399999999999985 y[1] (analytic) 0.8963786303334537 y[1] (numeric) 0.8963786303334533 absolute error 3.3306690738754696e-16 relative error 3.715694418815471e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0562196741208711 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0562196741208671 Order of pole (six term test) 0.9999999999999059 TOP MAIN SOLVE Loop x[1] -0.3299999999999985 y[1] (analytic) 0.9017945711966822 y[1] (numeric) 0.9017945711966818 absolute error 3.3306690738754696e-16 relative error 3.693378936020505e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0530432089900201 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.05304320899002 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] -0.3199999999999985 y[1] (analytic) 0.9071117561683608 y[1] (numeric) 0.9071117561683604 absolute error 4.440892098500626e-16 relative error 4.8956394493870856e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0499523798725345 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0499523798725354 Order of pole (six term test) 1.0000000000000195 TOP MAIN SOLVE Loop x[1] -0.3099999999999985 y[1] (analytic) 0.9123255177447321 y[1] (numeric) 0.9123255177447317 absolute error 4.440892098500626e-16 relative error 4.867661829166532e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.046947945219818 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0469479452198158 Order of pole (six term test) 0.9999999999999449 TOP MAIN SOLVE Loop x[1] -0.2999999999999985 y[1] (analytic) 0.9174311926605512 y[1] (numeric) 0.9174311926605508 absolute error 3.3306690738754696e-16 relative error 3.6304292905242594e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0440306508910546 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0440306508910562 Order of pole (six term test) 1.0000000000000373 TOP MAIN SOLVE Loop x[1] -0.2899999999999985 y[1] (analytic) 0.9224241306152576 y[1] (numeric) 0.9224241306152573 absolute error 3.3306690738754696e-16 relative error 3.6107783429883937e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.041201229350023 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008117351990484153 Order of pole (three term test) -2.2416272581012278 Radius of convergence (six term test) for eq 1 1.0412012293500224 Order of pole (six term test) 0.9999999999999893 TOP MAIN SOLVE Loop x[1] -0.2799999999999985 y[1] (analytic) 0.9272997032640957 y[1] (numeric) 0.9272997032640954 absolute error 3.3306690738754696e-16 relative error 3.591793529267304e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0384603988597731 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013624911045385327 Order of pole (three term test) -6.348594885031604 Radius of convergence (six term test) for eq 1 1.0384603988597731 Order of pole (six term test) 0.9999999999999964 TOP MAIN SOLVE Loop x[1] -0.26999999999999846 y[1] (analytic) 0.9320533134495301 y[1] (numeric) 0.9320533134495297 absolute error 4.440892098500626e-16 relative error 4.7646331324813177e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0358088626768933 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.014669285725015574 Order of pole (three term test) -12.290752914748355 Radius of convergence (six term test) for eq 1 1.0358088626768944 Order of pole (six term test) 1.0000000000000284 TOP MAIN SOLVE Loop x[1] -0.25999999999999845 y[1] (analytic) 0.9366804046459355 y[1] (numeric) 0.9366804046459352 absolute error 3.3306690738754696e-16 relative error 3.5558223032694485e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0332473082471587 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010947138469942106 Order of pole (three term test) -18.64580003963703 Radius of convergence (six term test) for eq 1 1.0332473082471614 Order of pole (six term test) 1.0000000000000622 TOP MAIN SOLVE Loop x[1] -0.24999999999999845 y[1] (analytic) 0.9411764705882361 y[1] (numeric) 0.9411764705882356 absolute error 4.440892098500626e-16 relative error 4.7184478546569115e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0307764064044147 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0032985609215160517 Order of pole (three term test) -23.79055438967805 Radius of convergence (six term test) for eq 1 1.0307764064044123 Order of pole (six term test) 0.999999999999936 TOP MAIN SOLVE Loop x[1] -0.23999999999999844 y[1] (analytic) 0.9455370650529508 y[1] (numeric) 0.9455370650529503 absolute error 4.440892098500626e-16 relative error 4.6966874833742587e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0283968105745949 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0283968105745984 Order of pole (six term test) 1.0000000000000888 TOP MAIN SOLVE Loop x[1] -0.22999999999999843 y[1] (analytic) 0.9497578117580023 y[1] (numeric) 0.9497578117580019 absolute error 4.440892098500626e-16 relative error 4.6758152905113064e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0261091559868274 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0261091559868216 Order of pole (six term test) 0.9999999999998597 TOP MAIN SOLVE Loop x[1] -0.21999999999999842 y[1] (analytic) 0.9538344143456702 y[1] (numeric) 0.9538344143456697 absolute error 4.440892098500626e-16 relative error 4.6558312760680535e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.023914058893616 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0239140588936178 Order of pole (six term test) 1.000000000000048 TOP MAIN SOLVE Loop x[1] -0.2099999999999984 y[1] (analytic) 0.9577626664112638 y[1] (numeric) 0.9577626664112634 absolute error 4.440892098500626e-16 relative error 4.636735440044501e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0218121158021172 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0218121158021132 Order of pole (six term test) 0.9999999999999041 TOP MAIN SOLVE Loop x[1] -0.1999999999999984 y[1] (analytic) 0.9615384615384621 y[1] (numeric) 0.9615384615384617 absolute error 4.440892098500626e-16 relative error 4.6185277824406487e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0198039027185566 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0198039027185652 Order of pole (six term test) 1.0000000000002114 TOP MAIN SOLVE Loop x[1] -0.1899999999999984 y[1] (analytic) 0.9651578033008403 y[1] (numeric) 0.9651578033008398 absolute error 5.551115123125783e-16 relative error 5.751510379070619e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0178899744078431 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0178899744078573 Order of pole (six term test) 1.00000000000035 TOP MAIN SOLVE Loop x[1] -0.17999999999999838 y[1] (analytic) 0.9686168151879123 y[1] (numeric) 0.9686168151879118 absolute error 5.551115123125783e-16 relative error 5.730971253115055e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0160708636704427 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0160708636704394 Order of pole (six term test) 0.9999999999999201 TOP MAIN SOLVE Loop x[1] -0.16999999999999837 y[1] (analytic) 0.971911750413063 y[1] (numeric) 0.9719117504130625 absolute error 4.440892098500626e-16 relative error 4.569233880147292e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0143470806385748 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.005818976884677249 Order of pole (three term test) -1.5464337502912424 Radius of convergence (six term test) for eq 1 1.0143470806385757 Order of pole (six term test) 1.0000000000000249 TOP MAIN SOLVE Loop x[1] -0.15999999999999837 y[1] (analytic) 0.975039001560063 y[1] (numeric) 0.9750390015600624 absolute error 5.551115123125783e-16 relative error 5.6932236702778e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0127191120937726 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.012917236544934227 Order of pole (three term test) -5.045116143579775 Radius of convergence (six term test) for eq 1 1.0127191120937742 Order of pole (six term test) 1.000000000000039 TOP MAIN SOLVE Loop x[1] -0.14999999999999836 y[1] (analytic) 0.9779951100244504 y[1] (numeric) 0.9779951100244498 absolute error 5.551115123125783e-16 relative error 5.6760152133961097e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.011187420807834 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.015948931336019274 Order of pole (three term test) -10.740186957507522 Radius of convergence (six term test) for eq 1 1.0111874208078357 Order of pole (six term test) 1.0000000000000444 TOP MAIN SOLVE Loop x[1] -0.13999999999999835 y[1] (analytic) 0.9807767752059635 y[1] (numeric) 0.9807767752059631 absolute error 4.440892098500626e-16 relative error 4.527933583631237e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0097524449091468 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01408464759286583 Order of pole (three term test) -17.146894279601156 Radius of convergence (six term test) for eq 1 1.0097524449091488 Order of pole (six term test) 1.0000000000000533 TOP MAIN SOLVE Loop x[1] -0.12999999999999834 y[1] (analytic) 0.9833808634083986 y[1] (numeric) 0.983380863408398 absolute error 5.551115123125783e-16 relative error 5.644928968706606e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0084145972763383 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.007744504245742165 Order of pole (three term test) -22.495161861287812 Radius of convergence (six term test) for eq 1 1.008414597276341 Order of pole (six term test) 1.0000000000000675 TOP MAIN SOLVE Loop x[1] -0.11999999999999834 y[1] (analytic) 0.9858044164037859 y[1] (numeric) 0.9858044164037855 absolute error 4.440892098500626e-16 relative error 4.504840944719033e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0071742649611335 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0071742649611346 Order of pole (six term test) 1.0000000000000249 TOP MAIN SOLVE Loop x[1] -0.10999999999999835 y[1] (analytic) 0.9880446596186152 y[1] (numeric) 0.9880446596186148 absolute error 4.440892098500626e-16 relative error 4.4946268928924816e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0060318086422515 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0060318086422562 Order of pole (six term test) 1.0000000000001208 TOP MAIN SOLVE Loop x[1] -0.09999999999999835 y[1] (analytic) 0.9900990099009905 y[1] (numeric) 0.9900990099009901 absolute error 4.440892098500626e-16 relative error 4.4853010194856305e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0049875621120887 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0049875621120943 Order of pole (six term test) 1.000000000000135 TOP MAIN SOLVE Loop x[1] -0.08999999999999836 y[1] (analytic) 0.9919650828290847 y[1] (numeric) 0.9919650828290844 absolute error 3.3306690738754696e-16 relative error 3.35764749337386e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0040418317978588 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.004041831797863 Order of pole (six term test) 1.0000000000001048 TOP MAIN SOLVE Loop x[1] -0.07999999999999836 y[1] (analytic) 0.9936406995230527 y[1] (numeric) 0.9936406995230523 absolute error 3.3306690738754696e-16 relative error 3.351985355948272e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.003194896318756 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.003194896318755 Order of pole (six term test) 0.9999999999999716 TOP MAIN SOLVE Loop x[1] -0.06999999999999837 y[1] (analytic) 0.9951238929246694 y[1] (numeric) 0.995123892924669 absolute error 4.440892098500626e-16 relative error 4.462652469783278e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0024470060806205 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0024470060806223 Order of pole (six term test) 1.0000000000000444 TOP MAIN SOLVE Loop x[1] -0.05999999999999837 y[1] (analytic) 0.9964129135113593 y[1] (numeric) 0.996412913511359 absolute error 3.3306690738754696e-16 relative error 3.3426594825414205e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0017983829094554 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0017983829094574 Order of pole (six term test) 1.0000000000000604 TOP MAIN SOLVE Loop x[1] -0.049999999999998365 y[1] (analytic) 0.9975062344139651 y[1] (numeric) 0.9975062344139649 absolute error 2.220446049250313e-16 relative error 2.225997164373439e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0012492197250393 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0076136848439171565 Order of pole (three term test) -2.0255361088045256 Radius of convergence (six term test) for eq 1 1.0012492197250373 Order of pole (six term test) 0.9999999999999538 TOP MAIN SOLVE Loop x[1] -0.03999999999999836 y[1] (analytic) 0.9984025559105433 y[1] (numeric) 0.9984025559105429 absolute error 3.3306690738754696e-16 relative error 3.33599814439367e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0007996802557442 Order of pole (given) 1.0 Radius of convergence (ratio test) for eq 1 0.7408673418305789 Order of pole (ratio test) Not computed Radius of convergence (three term test) for eq 1 0.014679671045122711 Order of pole (three term test) -6.126050238383558 Radius of convergence (six term test) for eq 1 1.000799680255742 Order of pole (six term test) 0.9999999999999396 TOP MAIN SOLVE Loop x[1] -0.02999999999999836 y[1] (analytic) 0.9991008092716556 y[1] (numeric) 0.9991008092716553 absolute error 2.220446049250313e-16 relative error 2.222444450694638e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0004498987955368 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017641885296108988 Order of pole (three term test) -12.16858836511051 Radius of convergence (six term test) for eq 1 1.000449898795536 Order of pole (six term test) 0.9999999999999787 TOP MAIN SOLVE Loop x[1] -0.01999999999999836 y[1] (analytic) 0.9996001599360256 y[1] (numeric) 0.9996001599360254 absolute error 2.220446049250313e-16 relative error 2.2213342276700133e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.000199980003999 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.015639717342465564 Order of pole (three term test) -18.491442915441464 Radius of convergence (six term test) for eq 1 1.0001999800039985 Order of pole (six term test) 0.9999999999999929 TOP MAIN SOLVE Loop x[1] -0.00999999999999836 y[1] (analytic) 0.9999000099990001 y[1] (numeric) 0.9999000099989999 absolute error 2.220446049250313e-16 relative error 2.2206680938552382e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0000499987500624 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009153560032903267 Order of pole (three term test) -23.262773321170386 Radius of convergence (six term test) for eq 1 1.00004999875007 Order of pole (six term test) 1.00000000000019 TOP MAIN SOLVE Loop x[1] 1.6410484082740595e-15 y[1] (analytic) 1.0 y[1] (numeric) 0.9999999999999998 absolute error 2.220446049250313e-16 relative error 2.220446049250313e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0000000000000022 Order of pole (six term test) 1.000000000000055 TOP MAIN SOLVE Loop x[1] 0.010000000000001641 y[1] (analytic) 0.9999000099990001 y[1] (numeric) 0.9999000099989999 absolute error 2.220446049250313e-16 relative error 2.2206680938552382e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0000499987500624 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0000499987500646 Order of pole (six term test) 1.000000000000055 TOP MAIN SOLVE Loop x[1] 0.02000000000000164 y[1] (analytic) 0.9996001599360256 y[1] (numeric) 0.9996001599360254 absolute error 2.220446049250313e-16 relative error 2.2213342276700133e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.000199980003999 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0001999800039971 Order of pole (six term test) 0.9999999999999538 TOP MAIN SOLVE Loop x[1] 0.030000000000001643 y[1] (analytic) 0.9991008092716553 y[1] (numeric) 0.9991008092716552 absolute error 1.1102230246251565e-16 relative error 1.1112222253473194e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.000449898795537 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.000449898795539 Order of pole (six term test) 1.0000000000000515 TOP MAIN SOLVE Loop x[1] 0.040000000000001645 y[1] (analytic) 0.998402555910543 y[1] (numeric) 0.9984025559105428 absolute error 2.220446049250313e-16 relative error 2.2239987629291138e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0007996802557444 Order of pole (given) 1.0 Radius of convergence (ratio test) for eq 1 0.7408673418304643 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 1.0007996802557433 Order of pole (six term test) 0.9999999999999769 TOP MAIN SOLVE Loop x[1] 0.05000000000000165 y[1] (analytic) 0.9975062344139649 y[1] (numeric) 0.9975062344139648 absolute error 1.1102230246251565e-16 relative error 1.1129985821867196e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0012492197250393 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0012492197250362 Order of pole (six term test) 0.9999999999999201 TOP MAIN SOLVE Loop x[1] 0.06000000000000165 y[1] (analytic) 0.9964129135113589 y[1] (numeric) 0.9964129135113587 absolute error 1.1102230246251565e-16 relative error 1.1142198275138074e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0017983829094557 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0016964863283173424 Order of pole (three term test) -0.9450184641384317 Radius of convergence (six term test) for eq 1 1.0017983829094603 Order of pole (six term test) 1.000000000000119 TOP MAIN SOLVE Loop x[1] 0.07000000000000164 y[1] (analytic) 0.995123892924669 y[1] (numeric) 0.9951238929246687 absolute error 2.220446049250313e-16 relative error 2.2313262348916398e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0024470060806208 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010885178492164827 Order of pole (three term test) -3.1619596443579168 Radius of convergence (six term test) for eq 1 1.002447006080621 Order of pole (six term test) 1.0000000000000107 TOP MAIN SOLVE Loop x[1] 0.08000000000000164 y[1] (analytic) 0.9936406995230522 y[1] (numeric) 0.993640699523052 absolute error 2.220446049250313e-16 relative error 2.2346569039655157e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0031948963187562 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017610320730837153 Order of pole (three term test) -8.108146663534855 Radius of convergence (six term test) for eq 1 1.0031948963187554 Order of pole (six term test) 0.9999999999999787 TOP MAIN SOLVE Loop x[1] 0.09000000000000163 y[1] (analytic) 0.9919650828290842 y[1] (numeric) 0.9919650828290839 absolute error 3.3306690738754696e-16 relative error 3.3576474933738616e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.004041831797859 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.020086679188319977 Order of pole (three term test) -14.479735691358822 Radius of convergence (six term test) for eq 1 1.0040418317978577 Order of pole (six term test) 0.9999999999999716 TOP MAIN SOLVE Loop x[1] 0.10000000000000163 y[1] (analytic) 0.9900990099009899 y[1] (numeric) 0.9900990099009895 absolute error 3.3306690738754696e-16 relative error 3.363975764614225e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0049875621120892 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.017576906350520845 Order of pole (three term test) -20.52257450616638 Radius of convergence (six term test) for eq 1 1.0049875621120907 Order of pole (six term test) 1.0000000000000373 TOP MAIN SOLVE Loop x[1] 0.11000000000000162 y[1] (analytic) 0.9880446596186143 y[1] (numeric) 0.9880446596186142 absolute error 1.1102230246251565e-16 relative error 1.1236567232231215e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.006031808642252 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010702188796358113 Order of pole (three term test) -24.49679987846839 Radius of convergence (six term test) for eq 1 1.0060318086422533 Order of pole (six term test) 1.0000000000000444 TOP MAIN SOLVE Loop x[1] 0.12000000000000162 y[1] (analytic) 0.9858044164037851 y[1] (numeric) 0.9858044164037849 absolute error 2.220446049250313e-16 relative error 2.2524204723595185e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.007174264961134 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.001374236623018739 Order of pole (three term test) -25.223118203902654 Radius of convergence (six term test) for eq 1 1.0071742649611317 Order of pole (six term test) 0.9999999999999467 TOP MAIN SOLVE Loop x[1] 0.13000000000000161 y[1] (analytic) 0.9833808634083977 y[1] (numeric) 0.9833808634083975 absolute error 2.220446049250313e-16 relative error 2.2579715874826443e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0084145972763388 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.008414597276341 Order of pole (six term test) 1.0000000000000586 TOP MAIN SOLVE Loop x[1] 0.14000000000000162 y[1] (analytic) 0.9807767752059626 y[1] (numeric) 0.9807767752059625 absolute error 1.1102230246251565e-16 relative error 1.1319833959078102e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0097524449091473 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.009752444909148 Order of pole (six term test) 1.0000000000000195 TOP MAIN SOLVE Loop x[1] 0.15000000000000163 y[1] (analytic) 0.9779951100244495 y[1] (numeric) 0.9779951100244493 absolute error 2.220446049250313e-16 relative error 2.270406085358446e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0111874208078344 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.011187420807836 Order of pole (six term test) 1.0000000000000409 TOP MAIN SOLVE Loop x[1] 0.16000000000000164 y[1] (analytic) 0.975039001560062 y[1] (numeric) 0.9750390015600617 absolute error 2.220446049250313e-16 relative error 2.277289468111122e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0127191120937733 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0127191120937715 Order of pole (six term test) 0.9999999999999556 TOP MAIN SOLVE Loop x[1] 0.17000000000000165 y[1] (analytic) 0.9719117504130619 y[1] (numeric) 0.9719117504130618 absolute error 1.1102230246251565e-16 relative error 1.1423084700368244e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0143470806385755 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0143470806385748 Order of pole (six term test) 0.9999999999999876 TOP MAIN SOLVE Loop x[1] 0.18000000000000166 y[1] (analytic) 0.9686168151879111 y[1] (numeric) 0.9686168151879109 absolute error 2.220446049250313e-16 relative error 2.2923885012460247e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0160708636704434 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0035846529528209157 Order of pole (three term test) -1.1143228540228194 Radius of convergence (six term test) for eq 1 1.0160708636704425 Order of pole (six term test) 0.9999999999999787 TOP MAIN SOLVE Loop x[1] 0.19000000000000167 y[1] (analytic) 0.965157803300839 y[1] (numeric) 0.9651578033008389 absolute error 1.1102230246251565e-16 relative error 1.1503020758141255e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0178899744078438 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013039707225410481 Order of pole (three term test) -3.8551195874866733 Radius of convergence (six term test) for eq 1 1.0178899744078138 Order of pole (six term test) 0.9999999999992646 TOP MAIN SOLVE Loop x[1] 0.20000000000000168 y[1] (analytic) 0.9615384615384609 y[1] (numeric) 0.9615384615384607 absolute error 2.220446049250313e-16 relative error 2.3092638912203272e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0198039027185573 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.020272791581559972 Order of pole (three term test) -9.107516642305878 Radius of convergence (six term test) for eq 1 1.019803902718563 Order of pole (six term test) 1.0000000000001386 TOP MAIN SOLVE Loop x[1] 0.21000000000000169 y[1] (analytic) 0.9577626664112626 y[1] (numeric) 0.9577626664112624 absolute error 2.220446049250313e-16 relative error 2.3183677200222534e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0218121158021178 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0234777132630944 Order of pole (three term test) -15.570296783041954 Radius of convergence (six term test) for eq 1 1.0218121158021214 Order of pole (six term test) 1.0000000000000888 TOP MAIN SOLVE Loop x[1] 0.2200000000000017 y[1] (analytic) 0.953834414345669 y[1] (numeric) 0.9538344143456686 absolute error 3.3306690738754696e-16 relative error 3.4918734570510447e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0239140588936166 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0217772973255139 Order of pole (three term test) -21.578327238711932 Radius of convergence (six term test) for eq 1 1.0239140588936106 Order of pole (six term test) 0.999999999999849 TOP MAIN SOLVE Loop x[1] 0.2300000000000017 y[1] (analytic) 0.949757811758001 y[1] (numeric) 0.9497578117580007 absolute error 3.3306690738754696e-16 relative error 3.5068614678834845e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.026109155986828 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01553948097938207 Order of pole (three term test) -25.52307340672742 Radius of convergence (six term test) for eq 1 1.026109155986824 Order of pole (six term test) 0.9999999999998952 TOP MAIN SOLVE Loop x[1] 0.2400000000000017 y[1] (analytic) 0.9455370650529494 y[1] (numeric) 0.945537065052949 absolute error 4.440892098500626e-16 relative error 4.6966874833742656e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0283968105745958 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006372087421885679 Order of pole (three term test) -26.326918901678965 Radius of convergence (six term test) for eq 1 1.0283968105746066 Order of pole (six term test) 1.0000000000002718 TOP MAIN SOLVE Loop x[1] 0.2500000000000017 y[1] (analytic) 0.9411764705882345 y[1] (numeric) 0.9411764705882342 absolute error 3.3306690738754696e-16 relative error 3.5388358909926896e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0307764064044156 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.030776406404421 Order of pole (six term test) 1.0000000000001386 TOP MAIN SOLVE Loop x[1] 0.26000000000000173 y[1] (analytic) 0.9366804046459339 y[1] (numeric) 0.9366804046459336 absolute error 3.3306690738754696e-16 relative error 3.555822303269455e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0332473082471596 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.03324730824716 Order of pole (six term test) 1.0000000000000107 TOP MAIN SOLVE Loop x[1] 0.27000000000000174 y[1] (analytic) 0.9320533134495286 y[1] (numeric) 0.9320533134495281 absolute error 4.440892098500626e-16 relative error 4.764633132481326e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0358088626768942 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0358088626768949 Order of pole (six term test) 1.0000000000000195 TOP MAIN SOLVE Loop x[1] 0.28000000000000175 y[1] (analytic) 0.9272997032640942 y[1] (numeric) 0.9272997032640937 absolute error 4.440892098500626e-16 relative error 4.789058039023079e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.038460398859774 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.038460398859774 Order of pole (six term test) 1.0000000000000018 TOP MAIN SOLVE Loop x[1] 0.29000000000000176 y[1] (analytic) 0.9224241306152561 y[1] (numeric) 0.9224241306152556 absolute error 4.440892098500626e-16 relative error 4.814371123984533e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.041201229350024 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0412012293500208 Order of pole (six term test) 0.9999999999999236 TOP MAIN SOLVE Loop x[1] 0.30000000000000177 y[1] (analytic) 0.9174311926605496 y[1] (numeric) 0.9174311926605492 absolute error 4.440892098500626e-16 relative error 4.840572387365687e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0440306508910555 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0006002880846433355 Order of pole (three term test) -0.89883759639304 Radius of convergence (six term test) for eq 1 1.0440306508910553 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] 0.3100000000000018 y[1] (analytic) 0.9123255177447304 y[1] (numeric) 0.91232551774473 absolute error 3.3306690738754696e-16 relative error 3.650746371874906e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.046947945219819 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01065043482864859 Order of pole (three term test) -2.6141642994262266 Radius of convergence (six term test) for eq 1 1.0469479452198234 Order of pole (six term test) 1.000000000000112 TOP MAIN SOLVE Loop x[1] 0.3200000000000018 y[1] (analytic) 0.907111756168359 y[1] (numeric) 0.9071117561683586 absolute error 4.440892098500626e-16 relative error 4.895639449387095e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0499523798725354 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01989939875094671 Order of pole (three term test) -7.0228636119423 Radius of convergence (six term test) for eq 1 1.0499523798725359 Order of pole (six term test) 1.0000000000000053 TOP MAIN SOLVE Loop x[1] 0.3300000000000018 y[1] (analytic) 0.9017945711966805 y[1] (numeric) 0.90179457119668 absolute error 4.440892098500626e-16 relative error 4.9245052480273494e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.053043208990021 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02634632135240448 Order of pole (three term test) -13.17212747273548 Radius of convergence (six term test) for eq 1 1.053043208990013 Order of pole (six term test) 0.9999999999998135 TOP MAIN SOLVE Loop x[1] 0.3400000000000018 y[1] (analytic) 0.8963786303334519 y[1] (numeric) 0.8963786303334514 absolute error 4.440892098500626e-16 relative error 4.954259225087304e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.056219674120872 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028526454269067816 Order of pole (three term test) -19.691387557926095 Radius of convergence (six term test) for eq 1 1.056219674120866 Order of pole (six term test) 0.9999999999998543 TOP MAIN SOLVE Loop x[1] 0.3500000000000018 y[1] (analytic) 0.890868596881959 y[1] (numeric) 0.8908685968819585 absolute error 4.440892098500626e-16 relative error 4.984901380566958e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0594810050208552 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.025877583151663597 Order of pole (three term test) -25.074044589167034 Radius of convergence (six term test) for eq 1 1.0594810050208527 Order of pole (six term test) 0.9999999999999449 TOP MAIN SOLVE Loop x[1] 0.3600000000000018 y[1] (analytic) 0.8852691218130302 y[1] (numeric) 0.8852691218130297 absolute error 4.440892098500626e-16 relative error 5.016431714466313e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0628264204469144 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01895181154237895 Order of pole (three term test) -28.04201044481975 Radius of convergence (six term test) for eq 1 1.0628264204469198 Order of pole (six term test) 1.0000000000001297 TOP MAIN SOLVE Loop x[1] 0.3700000000000018 y[1] (analytic) 0.8795848359574271 y[1] (numeric) 0.8795848359574266 absolute error 4.440892098500626e-16 relative error 5.0488502267853675e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0662551289442885 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.009341537464348373 Order of pole (three term test) -27.894817372310033 Radius of convergence (six term test) for eq 1 1.0662551289442865 Order of pole (six term test) 0.9999999999999485 TOP MAIN SOLVE Loop x[1] 0.38000000000000184 y[1] (analytic) 0.8738203425375732 y[1] (numeric) 0.8738203425375728 absolute error 4.440892098500626e-16 relative error 5.082156917524123e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0697663296253073 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0697663296252886 Order of pole (six term test) 0.999999999999547 TOP MAIN SOLVE Loop x[1] 0.39000000000000185 y[1] (analytic) 0.8679802100512097 y[1] (numeric) 0.8679802100512093 absolute error 4.440892098500626e-16 relative error 5.116351786682578e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.073359212938521 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0733592129385223 Order of pole (six term test) 1.0000000000000338 TOP MAIN SOLVE Loop x[1] 0.40000000000000185 y[1] (analytic) 0.8620689655172403 y[1] (numeric) 0.8620689655172398 absolute error 5.551115123125783e-16 relative error 6.439293542825916e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0770329614269014 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0770329614269014 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] 0.41000000000000186 y[1] (analytic) 0.8560910880917719 y[1] (numeric) 0.8560910880917714 absolute error 5.551115123125783e-16 relative error 6.484257575323235e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0807867504739321 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0807867504739337 Order of pole (six term test) 1.000000000000039 TOP MAIN SOLVE Loop x[1] 0.42000000000000187 y[1] (analytic) 0.8500510030601824 y[1] (numeric) 0.850051003060182 absolute error 4.440892098500626e-16 relative error 5.2242654646761436e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0846197490365006 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.0846197490364988 Order of pole (six term test) 0.9999999999999591 TOP MAIN SOLVE Loop x[1] 0.4300000000000019 y[1] (analytic) 0.8439530762089617 y[1] (numeric) 0.8439530762089612 absolute error 4.440892098500626e-16 relative error 5.262013047513399e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.088531120363585 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.088531120363584 Order of pole (six term test) 0.9999999999999716 TOP MAIN SOLVE Loop x[1] 0.4400000000000019 y[1] (analytic) 0.8378016085790873 y[1] (numeric) 0.8378016085790869 absolute error 3.3306690738754696e-16 relative error 3.975486606577766e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0925200226998137 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.008873774759493951 Order of pole (three term test) -1.9497016630130386 Radius of convergence (six term test) for eq 1 1.0925200226998146 Order of pole (six term test) 1.0000000000000213 TOP MAIN SOLVE Loop x[1] 0.4500000000000019 y[1] (analytic) 0.8316008316008304 y[1] (numeric) 0.8316008316008301 absolute error 3.3306690738754696e-16 relative error 4.005129561335258e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.0965856099730662 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.019406420195979587 Order of pole (three term test) -5.612647854840901 Radius of convergence (six term test) for eq 1 1.0965856099730649 Order of pole (six term test) 0.9999999999999574 TOP MAIN SOLVE Loop x[1] 0.4600000000000019 y[1] (analytic) 0.8253549026081203 y[1] (numeric) 0.82535490260812 absolute error 3.3306690738754696e-16 relative error 4.035438649907525e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.100727032465362 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.028432993010834476 Order of pole (three term test) -11.255261765009392 Radius of convergence (six term test) for eq 1 1.1007270324653637 Order of pole (six term test) 1.0000000000000444 TOP MAIN SOLVE Loop x[1] 0.4700000000000019 y[1] (analytic) 0.8190679007289692 y[1] (numeric) 0.8190679007289688 absolute error 3.3306690738754696e-16 relative error 4.066413872294567e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1049434374663718 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03429549448668158 Order of pole (three term test) -17.84914786675925 Radius of convergence (six term test) for eq 1 1.1049434374665952 Order of pole (six term test) 1.0000000000050502 TOP MAIN SOLVE Loop x[1] 0.4800000000000019 y[1] (analytic) 0.8127438231469428 y[1] (numeric) 0.8127438231469425 absolute error 3.3306690738754696e-16 relative error 4.098055228496384e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1092339699089646 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03585473873571565 Order of pole (three term test) -24.153435630958647 Radius of convergence (six term test) for eq 1 1.1092339699089684 Order of pole (six term test) 1.0000000000000853 TOP MAIN SOLVE Loop x[1] 0.49000000000000193 y[1] (analytic) 0.8063865817272787 y[1] (numeric) 0.8063865817272785 absolute error 2.220446049250313e-16 relative error 2.7535751456753178e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1135977729862798 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.032752331336826986 Order of pole (three term test) -28.945247786104233 Radius of convergence (six term test) for eq 1 1.1135977729862772 Order of pole (six term test) 0.9999999999999378 TOP MAIN SOLVE Loop x[1] 0.5000000000000019 y[1] (analytic) 0.7999999999999988 y[1] (numeric) 0.7999999999999985 absolute error 3.3306690738754696e-16 relative error 4.1633363423443433e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1180339887498956 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.025542423468235757 Order of pole (three term test) -31.28209017019486 Radius of convergence (six term test) for eq 1 1.1180339887498938 Order of pole (six term test) 0.9999999999999556 TOP MAIN SOLVE Loop x[1] 0.5100000000000019 y[1] (analytic) 0.7935878104912296 y[1] (numeric) 0.7935878104912293 absolute error 3.3306690738754696e-16 relative error 4.196976099990486e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1225417586887367 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.015611619648690381 Order of pole (three term test) -30.72258645083006 Radius of convergence (six term test) for eq 1 1.122541758688748 Order of pole (six term test) 1.0000000000002611 TOP MAIN SOLVE Loop x[1] 0.5200000000000019 y[1] (analytic) 0.7871536523929459 y[1] (numeric) 0.7871536523929455 absolute error 3.3306690738754696e-16 relative error 4.231281991451403e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1271202242884306 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.004877271684699916 Order of pole (three term test) -27.425252860037418 Radius of convergence (six term test) for eq 1 1.1271202242884262 Order of pole (six term test) 0.999999999999897 TOP MAIN SOLVE Loop x[1] 0.5300000000000019 y[1] (analytic) 0.780701069560464 y[1] (numeric) 0.7807010695604637 absolute error 3.3306690738754696e-16 relative error 4.266254016727096e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1317685275708995 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1317685275708937 Order of pole (six term test) 0.9999999999998685 TOP MAIN SOLVE Loop x[1] 0.5400000000000019 y[1] (analytic) 0.7742335088262607 y[1] (numeric) 0.7742335088262604 absolute error 3.3306690738754696e-16 relative error 4.301892175817564e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1364858116140306 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.136485811614036 Order of pole (six term test) 1.0000000000001155 TOP MAIN SOLVE Loop x[1] 0.5500000000000019 y[1] (analytic) 0.767754318618041 y[1] (numeric) 0.7677543186180407 absolute error 3.3306690738754696e-16 relative error 4.338196468722806e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1412712210513336 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.141271221051335 Order of pole (six term test) 1.0000000000000213 TOP MAIN SOLVE Loop x[1] 0.5600000000000019 y[1] (analytic) 0.7612667478684519 y[1] (numeric) 0.7612667478684515 absolute error 4.440892098500626e-16 relative error 5.833555860590432e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.146123902551553 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1461239025515533 Order of pole (six term test) 1.0 TOP MAIN SOLVE Loop x[1] 0.570000000000002 y[1] (analytic) 0.7547739452034103 y[1] (numeric) 0.75477394520341 absolute error 3.3306690738754696e-16 relative error 4.412803455977617e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1510430052782572 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.1510430052782545 Order of pole (six term test) 0.9999999999999414 TOP MAIN SOLVE Loop x[1] 0.580000000000002 y[1] (analytic) 0.7482789583956887 y[1] (numeric) 0.7482789583956884 absolute error 3.3306690738754696e-16 relative error 4.451106150327185e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.156027681329475 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.002632942179335988 Order of pole (three term test) -0.9821578051242934 Radius of convergence (six term test) for eq 1 1.1560276813294752 Order of pole (six term test) 1.0000000000000089 TOP MAIN SOLVE Loop x[1] 0.590000000000002 y[1] (analytic) 0.7417847340701715 y[1] (numeric) 0.7417847340701713 absolute error 2.220446049250313e-16 relative error 2.993383318994352e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.161077086157505 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.013587229277167592 Order of pole (three term test) -2.8922438976205984 Radius of convergence (six term test) for eq 1 1.1610770861575044 Order of pole (six term test) 0.9999999999999893 TOP MAIN SOLVE Loop x[1] 0.600000000000002 y[1] (analytic) 0.7352941176470575 y[1] (numeric) 0.7352941176470573 absolute error 2.220446049250313e-16 relative error 3.019806626980431e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.166190378969061 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02499115690532031 Order of pole (three term test) -7.044422927350343 Radius of convergence (six term test) for eq 1 1.1661903789690582 Order of pole (six term test) 0.9999999999999396 TOP MAIN SOLVE Loop x[1] 0.610000000000002 y[1] (analytic) 0.7288098535092182 y[1] (numeric) 0.7288098535092179 absolute error 3.3306690738754696e-16 relative error 4.5700110362645394e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1713667231059632 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03526880949211191 Order of pole (three term test) -12.864495390365308 Radius of convergence (six term test) for eq 1 1.1713667231059595 Order of pole (six term test) 0.9999999999999165 TOP MAIN SOLVE Loop x[1] 0.620000000000002 y[1] (analytic) 0.7223345853799467 y[1] (numeric) 0.7223345853799464 absolute error 2.220446049250313e-16 relative error 3.073985510582139e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1766052864066192 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04295633550418354 Order of pole (three term test) -19.530047181402704 Radius of convergence (six term test) for eq 1 1.1766052864066199 Order of pole (six term test) 1.0000000000000124 TOP MAIN SOLVE Loop x[1] 0.630000000000002 y[1] (analytic) 0.7158708568974145 y[1] (numeric) 0.7158708568974141 absolute error 3.3306690738754696e-16 relative error 4.6526116292966516e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.181905241548578 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04690586157996153 Order of pole (three term test) -26.070611642049105 Radius of convergence (six term test) for eq 1 1.1819052415485962 Order of pole (six term test) 1.0000000000003837 TOP MAIN SOLVE Loop x[1] 0.640000000000002 y[1] (analytic) 0.7094211123723029 y[1] (numeric) 0.7094211123723027 absolute error 2.220446049250313e-16 relative error 3.129940751023247e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1872657663724675 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04648206233680004 Order of pole (three term test) -31.506076536465137 Radius of convergence (six term test) for eq 1 1.1872657663724675 Order of pole (six term test) 0.9999999999999982 TOP MAIN SOLVE Loop x[1] 0.650000000000002 y[1] (analytic) 0.7029876977152887 y[1] (numeric) 0.7029876977152885 absolute error 2.220446049250313e-16 relative error 3.158584505058576e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1926860441876574 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0417031326631723 Order of pole (three term test) -35.008589982962846 Radius of convergence (six term test) for eq 1 1.192686044187641 Order of pole (six term test) 0.9999999999996518 TOP MAIN SOLVE Loop x[1] 0.660000000000002 y[1] (analytic) 0.6965728615213138 y[1] (numeric) 0.6965728615213136 absolute error 2.220446049250313e-16 relative error 3.187672348303755e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.1981652640600138 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03327154265888543 Order of pole (three term test) -36.053659680805566 Radius of convergence (six term test) for eq 1 1.198165264060017 Order of pole (six term test) 1.0000000000000693 TOP MAIN SOLVE Loop x[1] 0.670000000000002 y[1] (analytic) 0.6901787562978798 y[1] (numeric) 0.6901787562978796 absolute error 2.220446049250313e-16 relative error 3.2172042807587846e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2037026210821353 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.02246396053241023 Order of pole (three term test) -34.51723185644925 Radius of convergence (six term test) for eq 1 1.2037026210821493 Order of pole (six term test) 1.000000000000302 TOP MAIN SOLVE Loop x[1] 0.680000000000002 y[1] (analytic) 0.683807439824944 y[1] (numeric) 0.6838074398249437 absolute error 2.220446049250313e-16 relative error 3.2471803024236644e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.209297316626479 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.010898187902453678 Order of pole (three term test) -30.687422347842528 Radius of convergence (six term test) for eq 1 1.2092973166264562 Order of pole (six term test) 0.9999999999995204 TOP MAIN SOLVE Loop x[1] 0.6900000000000021 y[1] (analytic) 0.677460876634373 y[1] (numeric) 0.6774608766343728 absolute error 2.220446049250313e-16 relative error 3.277600413298394e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2149485585818038 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.00024165199196778738 Order of pole (three term test) -25.18904938975635 Radius of convergence (six term test) for eq 1 1.2149485585820754 Order of pole (six term test) 1.0000000000058087 TOP MAIN SOLVE Loop x[1] 0.7000000000000021 y[1] (analytic) 0.6711409395973141 y[1] (numeric) 0.6711409395973139 absolute error 2.220446049250313e-16 relative error 3.308464613382973e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2206555615733714 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2206555615733754 Order of pole (six term test) 1.0000000000000853 TOP MAIN SOLVE Loop x[1] 0.7100000000000021 y[1] (analytic) 0.6648494116082695 y[1] (numeric) 0.6648494116082692 absolute error 3.3306690738754696e-16 relative error 5.009659354016103e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2264175471673597 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2264175471673602 Order of pole (six term test) 1.0000000000000089 TOP MAIN SOLVE Loop x[1] 0.7200000000000021 y[1] (analytic) 0.6585879873551094 y[1] (numeric) 0.658587987355109 absolute error 3.3306690738754696e-16 relative error 5.057287921772523e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2322337440599502 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2322337440599538 Order of pole (six term test) 1.0000000000000764 TOP MAIN SOLVE Loop x[1] 0.7300000000000021 y[1] (analytic) 0.6523582751647192 y[1] (numeric) 0.6523582751647189 absolute error 3.3306690738754696e-16 relative error 5.105582623343717e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.238103388251564 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2381033882515664 Order of pole (six term test) 1.0000000000000586 TOP MAIN SOLVE Loop x[1] 0.7400000000000021 y[1] (analytic) 0.6461617989144468 y[1] (numeric) 0.6461617989144466 absolute error 2.220446049250313e-16 relative error 3.436362305819792e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2440257232067202 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.2440257232067198 Order of pole (six term test) 0.9999999999999911 TOP MAIN SOLVE Loop x[1] 0.7500000000000021 y[1] (analytic) 0.6399999999999987 y[1] (numeric) 0.6399999999999985 absolute error 2.220446049250313e-16 relative error 3.469446951953621e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2500000000000013 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.005697314411161098 Order of pole (three term test) -1.2256651591927512 Radius of convergence (six term test) for eq 1 1.2500000000000022 Order of pole (six term test) 1.0000000000000213 TOP MAIN SOLVE Loop x[1] 0.7600000000000021 y[1] (analytic) 0.6338742393509115 y[1] (numeric) 0.6338742393509113 absolute error 2.220446049250313e-16 relative error 3.502975687297301e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2560254774486077 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01744046516830511 Order of pole (three term test) -3.4737103053182214 Radius of convergence (six term test) for eq 1 1.2560254774486066 Order of pole (six term test) 0.9999999999999822 TOP MAIN SOLVE Loop x[1] 0.7700000000000021 y[1] (analytic) 0.6277857994852143 y[1] (numeric) 0.6277857994852141 absolute error 2.220446049250313e-16 relative error 3.536948511850831e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2621014222319866 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030042702460014958 Order of pole (three term test) -7.634929528561884 Radius of convergence (six term test) for eq 1 1.2621014222319853 Order of pole (six term test) 0.9999999999999769 TOP MAIN SOLVE Loop x[1] 0.7800000000000021 y[1] (analytic) 0.6217358865953729 y[1] (numeric) 0.6217358865953727 absolute error 2.220446049250313e-16 relative error 3.571365425614211e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2682271089990165 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04226444797047476 Order of pole (three term test) -13.299541232856402 Radius of convergence (six term test) for eq 1 1.2682271089990127 Order of pole (six term test) 0.9999999999999307 TOP MAIN SOLVE Loop x[1] 0.7900000000000021 y[1] (analytic) 0.6157256326580862 y[1] (numeric) 0.615725632658086 absolute error 2.220446049250313e-16 relative error 3.6062264285874416e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2744018204632335 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.05287214058250654 Order of pole (three term test) -19.899094338876242 Radius of convergence (six term test) for eq 1 1.2744018204632297 Order of pole (six term test) 0.9999999999999272 TOP MAIN SOLVE Loop x[1] 0.8000000000000022 y[1] (analytic) 0.6097560975609744 y[1] (numeric) 0.609756097560974 absolute error 3.3306690738754696e-16 relative error 5.4622972811557815e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2806248474865711 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0607525335971856 Order of pole (three term test) -26.752697644733484 Radius of convergence (six term test) for eq 1 1.280624847486575 Order of pole (six term test) 1.0000000000000746 TOP MAIN SOLVE Loop x[1] 0.8100000000000022 y[1] (analytic) 0.6038282712396582 y[1] (numeric) 0.6038282712396579 absolute error 3.3306690738754696e-16 relative error 5.5159210532451764e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2868954891520925 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06503746696972534 Order of pole (three term test) -33.13187360445267 Radius of convergence (six term test) for eq 1 1.2868954891520843 Order of pole (six term test) 0.9999999999998437 TOP MAIN SOLVE Loop x[1] 0.8200000000000022 y[1] (analytic) 0.5979430758191807 y[1] (numeric) 0.5979430758191805 absolute error 2.220446049250313e-16 relative error 3.7134739727662314e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2932130528261783 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06522239600223974 Order of pole (three term test) -38.3421077703998 Radius of convergence (six term test) for eq 1 1.2932130528261656 Order of pole (six term test) 0.9999999999997584 TOP MAIN SOLVE Loop x[1] 0.8300000000000022 y[1] (analytic) 0.5921013677541582 y[1] (numeric) 0.592101367754158 absolute error 2.220446049250313e-16 relative error 3.7501113325788617e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.2995768542106325 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06125263592637562 Order of pole (three term test) -41.81138138823748 Radius of convergence (six term test) for eq 1 1.299576854210646 Order of pole (six term test) 1.000000000000263 TOP MAIN SOLVE Loop x[1] 0.8400000000000022 y[1] (analytic) 0.5863039399624753 y[1] (numeric) 0.5863039399624751 absolute error 2.220446049250313e-16 relative error 3.787192781601342e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.305986217385162 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.053550440238185316 Order of pole (three term test) -43.16907326170791 Radius of convergence (six term test) for eq 1 1.3059862173851875 Order of pole (six term test) 1.0000000000004938 TOP MAIN SOLVE Loop x[1] 0.8500000000000022 y[1] (analytic) 0.5805515239477491 y[1] (numeric) 0.5805515239477489 absolute error 2.220446049250313e-16 relative error 3.8247183198336725e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3124404748406702 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.04296714612740467 Order of pole (three term test) -42.296726109822096 Radius of convergence (six term test) for eq 1 1.3124404748406824 Order of pole (six term test) 1.0000000000002398 TOP MAIN SOLVE Loop x[1] 0.8600000000000022 y[1] (analytic) 0.5748447919061841 y[1] (numeric) 0.5748447919061839 absolute error 2.220446049250313e-16 relative error 3.862687947275853e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3189389675038052 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.030665045088952247 Order of pole (three term test) -39.33766601226026 Radius of convergence (six term test) for eq 1 1.3189389675037964 Order of pole (six term test) 0.9999999999998259 TOP MAIN SOLVE Loop x[1] 0.8700000000000022 y[1] (analytic) 0.5691843588138186 y[1] (numeric) 0.5691843588138183 absolute error 2.220446049250313e-16 relative error 3.901101663927883e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3254810447531884 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01795460392404274 Order of pole (three term test) -34.66379288989032 Radius of convergence (six term test) for eq 1 1.3254810447531893 Order of pole (six term test) 1.0000000000000195 TOP MAIN SOLVE Loop x[1] 0.8800000000000022 y[1] (analytic) 0.5635707844905308 y[1] (numeric) 0.5635707844905306 absolute error 2.220446049250313e-16 relative error 3.939959469789764e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3320660644277384 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.006124190528473196 Order of pole (three term test) -28.809943273295474 Radius of convergence (six term test) for eq 1 1.3320660644276752 Order of pole (six term test) 0.9999999999987654 TOP MAIN SOLVE Loop x[1] 0.8900000000000022 y[1] (analytic) 0.5580045756375189 y[1] (numeric) 0.5580045756375188 absolute error 1.1102230246251565e-16 relative error 1.9896306824307475e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3386933928275002 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.338693392827513 Order of pole (six term test) 1.000000000000247 TOP MAIN SOLVE Loop x[1] 0.9000000000000022 y[1] (analytic) 0.5524861878453027 y[1] (numeric) 0.5524861878453025 absolute error 2.220446049250313e-16 relative error 4.0190073491430755e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3453624047073725 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3453624047073751 Order of pole (six term test) 1.0000000000000462 TOP MAIN SOLVE Loop x[1] 0.9100000000000023 y[1] (analytic) 0.5470160275696065 y[1] (numeric) 0.5470160275696064 absolute error 1.1102230246251565e-16 relative error 2.0295987113172534e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.35207248326412 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.352072483264154 Order of pole (six term test) 1.0000000000006573 TOP MAIN SOLVE Loop x[1] 0.9200000000000023 y[1] (analytic) 0.541594454072789 y[1] (numeric) 0.5415944540727889 absolute error 1.1102230246251565e-16 relative error 2.0499157926678936e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3588230201170437 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3588230201170461 Order of pole (six term test) 1.0000000000000515 TOP MAIN SOLVE Loop x[1] 0.9300000000000023 y[1] (analytic) 0.5362217813287563 y[1] (numeric) 0.5362217813287562 absolute error 1.1102230246251565e-16 relative error 2.0704549186234593e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3656134152826722 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.365613415282696 Order of pole (six term test) 1.0000000000004654 TOP MAIN SOLVE Loop x[1] 0.9400000000000023 y[1] (analytic) 0.530898279889572 y[1] (numeric) 0.5308982798895718 absolute error 1.1102230246251565e-16 relative error 2.0912160891839497e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3724430771438225 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 NO REAL POLE (three term test) for Equation 1 Radius of convergence (six term test) for eq 1 1.3724430771438356 Order of pole (six term test) 1.0000000000002611 TOP MAIN SOLVE Loop x[1] 0.9500000000000023 y[1] (analytic) 0.5256241787122196 y[1] (numeric) 0.5256241787122194 absolute error 1.1102230246251565e-16 relative error 2.112199304349365e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3793114224133738 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.0068624267045772815 Order of pole (three term test) -1.2770631755050228 Radius of convergence (six term test) for eq 1 1.37931142241338 Order of pole (six term test) 1.000000000000128 TOP MAIN SOLVE Loop x[1] 0.9600000000000023 y[1] (analytic) 0.5203996669442119 y[1] (numeric) 0.5203996669442118 absolute error 1.1102230246251565e-16 relative error 2.1334045641197058e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3862178760930781 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.01913359320380715 Order of pole (three term test) -3.316321836541748 Radius of convergence (six term test) for eq 1 1.3862178760930812 Order of pole (six term test) 1.0000000000000604 TOP MAIN SOLVE Loop x[1] 0.9700000000000023 y[1] (analytic) 0.5152248956669574 y[1] (numeric) 0.5152248956669573 absolute error 1.1102230246251565e-16 relative error 2.1548318684949714e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.3931618714277263 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.03287865796115728 Order of pole (three term test) -6.988830160807846 Radius of convergence (six term test) for eq 1 1.3931618714277232 Order of pole (six term test) 0.9999999999999396 TOP MAIN SOLVE Loop x[1] 0.9800000000000023 y[1] (analytic) 0.5100999795959996 y[1] (numeric) 0.5100999795959995 absolute error 1.1102230246251565e-16 relative error 2.1764812174751618e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4001428498549726 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.047232150626571365 Order of pole (three term test) -12.062649177520292 Radius of convergence (six term test) for eq 1 1.4001428498549706 Order of pole (six term test) 0.9999999999999751 TOP MAIN SOLVE Loop x[1] 0.9900000000000023 y[1] (analytic) 0.5050249987374363 y[1] (numeric) 0.5050249987374362 absolute error 1.1102230246251565e-16 relative error 2.1983526110602774e-14% Correct digits 16 h 0.01 Radius of convergence (given) for eq 1 1.4071602609511131 Order of pole (given) 1.0 NO POLE (ratio test) for Equation 1 Radius of convergence (three term test) for eq 1 0.06127357518722196 Order of pole (three term test) -18.213055282788943 Radius of convergence (six term test) for eq 1 1.4071602609511051 Order of pole (six term test) 0.9999999999998721 Finished! diff ( y , x , 1 ) = m1 * 2.0 * x / (x * x + 1.0) /( x * x + 1.0); Iterations 300 Total Elapsed Time 0.0 Seconds Elapsed Time(since restart) 0.0 Seconds Time to Timeout 3 Minutes 0.0 Seconds Percent Done 100.33333333333341%