##############ECHO OF PROBLEM################# ##############temp/nonlinear2postode.ode################# diff ( y , x , 1 ) = y * y; ! #BEGIN FIRST INPUT BLOCK # Digits:=32; ELIMINATED in preodein.rb max_terms=30 ! #END FIRST INPUT BLOCK #BEGIN SECOND INPUT BLOCK ## problem from Boyce DePrima - ## _Elementary Differential Equations and Boundary Value Problems_ ## page 23 ## Singularity at x = 0.5 (which depends on init condition) ## x_start=0.0 x_end=0.2 $array_y_init[0 + 1] = exact_soln_y(x_start) $glob_look_poles=true $glob_max_iter=1000000 ## Not Given = 0 ## No Pole = 3 ## Pole = 4 $glob_type_given_pole=4 $array_given_rad_poles[1][1]=0.5 #RealPart $array_given_rad_poles[1][2]=0.0 #ImagPart $array_given_ord_poles[1][1]=0.0 #Order $array_given_ord_poles[1][2]=0.0 #NotUsed #END SECOND INPUT BLOCK #BEGIN OVERRIDE BLOCK $glob_desired_digits_correct=10 $glob_display_interval=0.001 $glob_look_poles=true $glob_max_iter=10000000 $glob_max_minutes=3 $glob_subiter_method=3 #END OVERRIDE BLOCK ! #BEGIN USER DEF BLOCK def exact_soln_y (x) return(2.0/(1.0 - 2.0*x)) end #END USER DEF BLOCK #######END OF ECHO OF PROBLEM################# START of Optimize min_size 0.0 min_size 1.0 opt_iter 1 $glob_desired_digits_correct 10 desired_abs_gbl_error 1.0e-10 range 0.2 estimated_steps 200.0 step_error 5.0e-13 est_needed_step_err 5.0e-13 hn_div_ho 0.5 hn_div_ho_2 0.25 hn_div_ho_3 0.125 value3 1.3435207994572797e-70 max_value3 1.3435207994572797e-70 value3 1.3435207994572797e-70 best_h 0.001 START of Soultion TOP MAIN SOLVE Loop x[1] 0.0 y[1] (analytic) 2.0 y[1] (numeric) 2.0 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.5 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4999999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.5000000000000117 Order of pole (three term test) 651.0000000000155 Radius of convergence (six term test) for eq 1 0.42836993358544667 Order of pole (six term test) -21.1 TOP MAIN SOLVE Loop x[1] 0.001 y[1] (analytic) 2.004008016032064 y[1] (numeric) 2.004008016032064 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.499 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4989999999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.49900000000000816 Order of pole (three term test) 651.0000000000109 Radius of convergence (six term test) for eq 1 0.050984160436204254 Order of pole (six term test) -12.100961538461538 TOP MAIN SOLVE Loop x[1] 0.002 y[1] (analytic) 2.0080321285140563 y[1] (numeric) 2.008032128514056 absolute error 4.440892098500626e-16 relative error 2.2115642650533117e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.498 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.498 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4980000000000007 Order of pole (three term test) 651.0000000000008 Radius of convergence (six term test) for eq 1 0.064 Order of pole (six term test) -12.1 TOP MAIN SOLVE Loop x[1] 0.003 y[1] (analytic) 2.0120724346076457 y[1] (numeric) 2.0120724346076457 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.497 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4969999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4970000000000105 Order of pole (three term test) 651.0000000000141 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.75 TOP MAIN SOLVE Loop x[1] 0.004 y[1] (analytic) 2.0161290322580645 y[1] (numeric) 2.0161290322580645 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.496 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4959999999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4959999999999834 Order of pole (three term test) 650.9999999999776 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 30.75 TOP MAIN SOLVE Loop x[1] 0.005 y[1] (analytic) 2.0202020202020203 y[1] (numeric) 2.0202020202020203 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.495 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4949999999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4950000000000087 Order of pole (three term test) 651.0000000000117 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.958333333333332 TOP MAIN SOLVE Loop x[1] 0.006 y[1] (analytic) 2.0242914979757085 y[1] (numeric) 2.0242914979757085 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.494 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4939999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.49399999999999705 Order of pole (three term test) 650.9999999999961 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.918604651162791 TOP MAIN SOLVE Loop x[1] 0.007 y[1] (analytic) 2.028397565922921 y[1] (numeric) 2.028397565922921 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.493 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.49299999999999977 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.49299999999999494 Order of pole (three term test) 650.9999999999931 Radius of convergence (six term test) for eq 1 0.12215212997382754 Order of pole (six term test) -12.678571428571429 TOP MAIN SOLVE Loop x[1] 0.008 y[1] (analytic) 2.032520325203252 y[1] (numeric) 2.032520325203252 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.492 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.49199999999999966 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.49199999999999733 Order of pole (three term test) 650.9999999999965 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.303030303030303 TOP MAIN SOLVE Loop x[1] 0.009000000000000001 y[1] (analytic) 2.0366598778004072 y[1] (numeric) 2.0366598778004077 absolute error 4.440892098500626e-16 relative error 2.1804780203638075e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.491 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.49099999999999966 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4910000000000006 Order of pole (three term test) 651.000000000001 Radius of convergence (six term test) for eq 1 0.0905096679918781 Order of pole (six term test) -12.125 TOP MAIN SOLVE Loop x[1] 0.010000000000000002 y[1] (analytic) 2.0408163265306123 y[1] (numeric) 2.0408163265306127 absolute error 4.440892098500626e-16 relative error 2.1760371282653068e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.49 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.48999999999999977 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.48999999999999916 Order of pole (three term test) 650.999999999999 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.833333333333334 TOP MAIN SOLVE Loop x[1] 0.011000000000000003 y[1] (analytic) 2.044989775051125 y[1] (numeric) 2.0449897750511252 absolute error 4.440892098500626e-16 relative error 2.171596236166806e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.489 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4889999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.48900000000000504 Order of pole (three term test) 651.0000000000069 Radius of convergence (six term test) for eq 1 0.09453426507212755 Order of pole (six term test) -11.636363636363637 TOP MAIN SOLVE Loop x[1] 0.012000000000000004 y[1] (analytic) 2.0491803278688523 y[1] (numeric) 2.0491803278688527 absolute error 4.440892098500626e-16 relative error 2.1671553440683058e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.488 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4879999999999999 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4880000000000077 Order of pole (three term test) 651.0000000000107 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.68421052631579 TOP MAIN SOLVE Loop x[1] 0.013000000000000005 y[1] (analytic) 2.053388090349076 y[1] (numeric) 2.053388090349076 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.487 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4869999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4869999999999895 Order of pole (three term test) 650.9999999999856 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.570093457943926 TOP MAIN SOLVE Loop x[1] 0.014000000000000005 y[1] (analytic) 2.05761316872428 y[1] (numeric) 2.0576131687242802 absolute error 4.440892098500626e-16 relative error 2.1582735598713044e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.486 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.48599999999999965 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4859999999999973 Order of pole (three term test) 650.9999999999966 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -14.0 TOP MAIN SOLVE Loop x[1] 0.015000000000000006 y[1] (analytic) 2.061855670103093 y[1] (numeric) 2.061855670103093 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.485 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4849999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4850000000000017 Order of pole (three term test) 651.0000000000026 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.81981981981982 TOP MAIN SOLVE Loop x[1] 0.016000000000000007 y[1] (analytic) 2.066115702479339 y[1] (numeric) 2.066115702479339 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.484 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4839999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.484 Order of pole (three term test) 651.0 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.142857142857142 TOP MAIN SOLVE Loop x[1] 0.017000000000000008 y[1] (analytic) 2.070393374741201 y[1] (numeric) 2.070393374741201 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.483 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4829999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4829999999999937 Order of pole (three term test) 650.9999999999916 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -9.666666666666668 TOP MAIN SOLVE Loop x[1] 0.01800000000000001 y[1] (analytic) 2.074688796680498 y[1] (numeric) 2.074688796680498 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.482 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.48199999999999976 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4820000000000001 Order of pole (three term test) 651.0000000000001 Radius of convergence (six term test) for eq 1 0.06874702790778556 Order of pole (six term test) -12.115384615384615 TOP MAIN SOLVE Loop x[1] 0.01900000000000001 y[1] (analytic) 2.079002079002079 y[1] (numeric) 2.079002079002079 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.481 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4809999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.48099999999999676 Order of pole (three term test) 650.9999999999957 Radius of convergence (six term test) for eq 1 0.10006220287623317 Order of pole (six term test) -11.38888888888889 TOP MAIN SOLVE Loop x[1] 0.02000000000000001 y[1] (analytic) 2.0833333333333335 y[1] (numeric) 2.0833333333333335 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.48 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4799999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4800000000000033 Order of pole (three term test) 651.0000000000049 Radius of convergence (six term test) for eq 1 0.12175228559505176 Order of pole (six term test) -12.676190476190476 TOP MAIN SOLVE Loop x[1] 0.02100000000000001 y[1] (analytic) 2.0876826722338206 y[1] (numeric) 2.0876826722338206 absolute error 0.0 relative error 0.0% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.479 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4789999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4790000000000038 Order of pole (three term test) 651.0000000000052 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.022000000000000013 y[1] (analytic) 2.092050209205021 y[1] (numeric) 2.0920502092050213 absolute error 4.440892098500626e-16 relative error 2.1227464230832995e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.478 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4779999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4779999999999829 Order of pole (three term test) 650.9999999999765 Radius of convergence (six term test) for eq 1 0.11919051869521938 Order of pole (six term test) -13.354430379746836 TOP MAIN SOLVE Loop x[1] 0.023000000000000013 y[1] (analytic) 2.0964360587002098 y[1] (numeric) 2.09643605870021 absolute error 4.440892098500626e-16 relative error 2.1183055309847985e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.477 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.47699999999999954 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.47700000000001064 Order of pole (three term test) 651.0000000000151 Radius of convergence (six term test) for eq 1 0.0926066952223218 Order of pole (six term test) -12.7578125 TOP MAIN SOLVE Loop x[1] 0.024000000000000014 y[1] (analytic) 2.100840336134454 y[1] (numeric) 2.1008403361344543 absolute error 4.440892098500626e-16 relative error 2.113864638886298e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.476 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.47599999999999976 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.475999999999997 Order of pole (three term test) 650.9999999999961 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.025000000000000015 y[1] (analytic) 2.1052631578947367 y[1] (numeric) 2.105263157894737 absolute error 4.440892098500626e-16 relative error 2.1094237467877974e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.475 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4749999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.47499999999999104 Order of pole (three term test) 650.9999999999878 Radius of convergence (six term test) for eq 1 0.09392632137028388 Order of pole (six term test) -11.58974358974359 TOP MAIN SOLVE Loop x[1] 0.026000000000000016 y[1] (analytic) 2.109704641350211 y[1] (numeric) 2.1097046413502114 absolute error 4.440892098500626e-16 relative error 2.1049828546892967e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.474 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4739999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.47400000000000425 Order of pole (three term test) 651.0000000000059 Radius of convergence (six term test) for eq 1 0.0846640419540669 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.027000000000000017 y[1] (analytic) 2.1141649048625792 y[1] (numeric) 2.1141649048625797 absolute error 4.440892098500626e-16 relative error 2.1005419625907964e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.473 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4729999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.47300000000001485 Order of pole (three term test) 651.0000000000213 Radius of convergence (six term test) for eq 1 0.1105751584744141 Order of pole (six term test) -13.55223880597015 TOP MAIN SOLVE Loop x[1] 0.028000000000000018 y[1] (analytic) 2.1186440677966103 y[1] (numeric) 2.1186440677966107 absolute error 4.440892098500626e-16 relative error 2.0961010704922954e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.472 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.47199999999999975 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.47199999999999664 Order of pole (three term test) 650.9999999999957 Radius of convergence (six term test) for eq 1 0.03802166565030429 Order of pole (six term test) -11.617647058823529 TOP MAIN SOLVE Loop x[1] 0.02900000000000002 y[1] (analytic) 2.1231422505307855 y[1] (numeric) 2.123142250530786 absolute error 4.440892098500626e-16 relative error 2.091660178393795e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.471 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4709999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4709999999999893 Order of pole (three term test) 650.9999999999851 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.551020408163264 TOP MAIN SOLVE Loop x[1] 0.03000000000000002 y[1] (analytic) 2.127659574468085 y[1] (numeric) 2.1276595744680855 absolute error 4.440892098500626e-16 relative error 2.0872192862952943e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.47 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4699999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.47000000000000086 Order of pole (three term test) 651.0000000000014 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.03100000000000002 y[1] (analytic) 2.1321961620469083 y[1] (numeric) 2.1321961620469088 absolute error 4.440892098500626e-16 relative error 2.0827783941967936e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.469 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4689999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4689999999999943 Order of pole (three term test) 650.9999999999919 Radius of convergence (six term test) for eq 1 0.128 Order of pole (six term test) -12.5 TOP MAIN SOLVE Loop x[1] 0.03200000000000002 y[1] (analytic) 2.1367521367521367 y[1] (numeric) 2.136752136752137 absolute error 4.440892098500626e-16 relative error 2.0783375020982932e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.46799999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4679999999999998 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.46799999999999253 Order of pole (three term test) 650.9999999999895 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.433333333333334 TOP MAIN SOLVE Loop x[1] 0.03300000000000002 y[1] (analytic) 2.1413276231263385 y[1] (numeric) 2.141327623126339 absolute error 4.440892098500626e-16 relative error 2.0738966099997922e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.46699999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.46699999999999964 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.466999999999998 Order of pole (three term test) 650.9999999999973 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.954545454545455 TOP MAIN SOLVE Loop x[1] 0.03400000000000002 y[1] (analytic) 2.145922746781116 y[1] (numeric) 2.1459227467811166 absolute error 4.440892098500626e-16 relative error 2.0694557179012915e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.46599999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4659999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.46599999999998304 Order of pole (three term test) 650.9999999999762 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -9.90909090909091 TOP MAIN SOLVE Loop x[1] 0.035000000000000024 y[1] (analytic) 2.1505376344086025 y[1] (numeric) 2.150537634408603 absolute error 4.440892098500626e-16 relative error 2.065014825802791e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.46499999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4649999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4649999999999893 Order of pole (three term test) 650.9999999999851 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.16304347826087 TOP MAIN SOLVE Loop x[1] 0.036000000000000025 y[1] (analytic) 2.1551724137931036 y[1] (numeric) 2.155172413793104 absolute error 4.440892098500626e-16 relative error 2.0605739337042905e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.46399999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4639999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4640000000000036 Order of pole (three term test) 651.000000000005 Radius of convergence (six term test) for eq 1 0.3386561678162676 Order of pole (six term test) -15.0 TOP MAIN SOLVE Loop x[1] 0.037000000000000026 y[1] (analytic) 2.1598272138228944 y[1] (numeric) 2.159827213822895 absolute error 4.440892098500626e-16 relative error 2.0561330416057898e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.46299999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4629999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4629999999999973 Order of pole (three term test) 650.9999999999964 Radius of convergence (six term test) for eq 1 0.09914837366290988 Order of pole (six term test) -11.9 TOP MAIN SOLVE Loop x[1] 0.03800000000000003 y[1] (analytic) 2.1645021645021645 y[1] (numeric) 2.1645021645021654 absolute error 8.881784197001252e-16 relative error 4.103384299014579e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.46199999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4619999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4619999999999949 Order of pole (three term test) 650.9999999999931 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.03900000000000003 y[1] (analytic) 2.1691973969631237 y[1] (numeric) 2.1691973969631246 absolute error 8.881784197001252e-16 relative error 4.094502514817577e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.46099999999999997 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.46099999999999963 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4610000000000111 Order of pole (three term test) 651.0000000000166 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -7.290697674418604 TOP MAIN SOLVE Loop x[1] 0.04000000000000003 y[1] (analytic) 2.173913043478261 y[1] (numeric) 2.173913043478262 absolute error 8.881784197001252e-16 relative error 4.0856207306205754e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45999999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4599999999999994 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4599999999999821 Order of pole (three term test) 650.9999999999746 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.366459627329192 TOP MAIN SOLVE Loop x[1] 0.04100000000000003 y[1] (analytic) 2.178649237472767 y[1] (numeric) 2.178649237472768 absolute error 1.3322676295501878e-15 relative error 6.115108419635362e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45899999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4589999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.45900000000000263 Order of pole (three term test) 651.000000000004 Radius of convergence (six term test) for eq 1 0.11850497277088659 Order of pole (six term test) -11.952380952380953 TOP MAIN SOLVE Loop x[1] 0.04200000000000003 y[1] (analytic) 2.183406113537118 y[1] (numeric) 2.183406113537119 absolute error 8.881784197001252e-16 relative error 4.067857162226573e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45799999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4579999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.45799999999998003 Order of pole (three term test) 650.9999999999715 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.921052631578947 TOP MAIN SOLVE Loop x[1] 0.04300000000000003 y[1] (analytic) 2.188183807439825 y[1] (numeric) 2.188183807439826 absolute error 8.881784197001252e-16 relative error 4.058975378029572e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45699999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4569999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.45700000000000834 Order of pole (three term test) 651.0000000000125 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.571428571428571 TOP MAIN SOLVE Loop x[1] 0.04400000000000003 y[1] (analytic) 2.192982456140351 y[1] (numeric) 2.192982456140352 absolute error 8.881784197001252e-16 relative error 4.0500935938325706e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45599999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4559999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4559999999999928 Order of pole (three term test) 650.9999999999901 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.694736842105263 TOP MAIN SOLVE Loop x[1] 0.04500000000000003 y[1] (analytic) 2.197802197802198 y[1] (numeric) 2.197802197802199 absolute error 8.881784197001252e-16 relative error 4.041211809635569e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45499999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4549999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.454999999999993 Order of pole (three term test) 650.9999999999902 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.0 TOP MAIN SOLVE Loop x[1] 0.046000000000000034 y[1] (analytic) 2.2026431718061676 y[1] (numeric) 2.2026431718061685 absolute error 8.881784197001252e-16 relative error 4.032330025438568e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45399999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4539999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4540000000000022 Order of pole (three term test) 651.0000000000034 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.047000000000000035 y[1] (analytic) 2.207505518763797 y[1] (numeric) 2.207505518763798 absolute error 8.881784197001252e-16 relative error 4.023448241241567e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45299999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.45299999999999957 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.45300000000001195 Order of pole (three term test) 651.0000000000176 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.293103448275861 TOP MAIN SOLVE Loop x[1] 0.048000000000000036 y[1] (analytic) 2.212389380530974 y[1] (numeric) 2.2123893805309747 absolute error 8.881784197001252e-16 relative error 4.0145664570445657e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45199999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.45199999999999957 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.45200000000000784 Order of pole (three term test) 651.0000000000115 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -12.115384615384615 TOP MAIN SOLVE Loop x[1] 0.04900000000000004 y[1] (analytic) 2.21729490022173 y[1] (numeric) 2.217294900221731 absolute error 8.881784197001252e-16 relative error 4.005684672847564e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.45099999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4509999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4510000000000009 Order of pole (three term test) 651.0000000000018 Radius of convergence (six term test) for eq 1 0.23946607275353224 Order of pole (six term test) -10.0 TOP MAIN SOLVE Loop x[1] 0.05000000000000004 y[1] (analytic) 2.2222222222222223 y[1] (numeric) 2.2222222222222237 absolute error 1.3322676295501878e-15 relative error 5.995204332975845e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44999999999999996 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.44999999999999957 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4499999999999929 Order of pole (three term test) 650.99999999999 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -7.5 TOP MAIN SOLVE Loop x[1] 0.05100000000000004 y[1] (analytic) 2.2271714922049 y[1] (numeric) 2.227171492204901 absolute error 8.881784197001252e-16 relative error 3.9879211044535615e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44899999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4489999999999994 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.448999999999987 Order of pole (three term test) 650.9999999999811 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.05200000000000004 y[1] (analytic) 2.232142857142857 y[1] (numeric) 2.2321428571428585 absolute error 1.3322676295501878e-15 relative error 5.968558980384842e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44799999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4479999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4480000000000058 Order of pole (three term test) 651.0000000000089 Radius of convergence (six term test) for eq 1 0.06033977866125206 Order of pole (six term test) -11.944444444444445 TOP MAIN SOLVE Loop x[1] 0.05300000000000004 y[1] (analytic) 2.237136465324385 y[1] (numeric) 2.237136465324386 absolute error 1.3322676295501878e-15 relative error 5.95523630408934e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44699999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.44699999999999945 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4470000000000057 Order of pole (three term test) 651.0000000000089 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.65625 TOP MAIN SOLVE Loop x[1] 0.05400000000000004 y[1] (analytic) 2.2421524663677133 y[1] (numeric) 2.2421524663677146 absolute error 1.3322676295501878e-15 relative error 5.941913627793837e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44599999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4459999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.44600000000000284 Order of pole (three term test) 651.0000000000048 Radius of convergence (six term test) for eq 1 0.23946607275353224 Order of pole (six term test) -13.7 TOP MAIN SOLVE Loop x[1] 0.05500000000000004 y[1] (analytic) 2.247191011235955 y[1] (numeric) 2.2471910112359565 absolute error 1.3322676295501878e-15 relative error 5.928590951498336e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44499999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4449999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.44500000000001294 Order of pole (three term test) 651.00000000002 Radius of convergence (six term test) for eq 1 0.08761260470923694 Order of pole (six term test) -12.507874015748031 TOP MAIN SOLVE Loop x[1] 0.05600000000000004 y[1] (analytic) 2.2522522522522523 y[1] (numeric) 2.2522522522522537 absolute error 1.3322676295501878e-15 relative error 5.915268275202834e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44399999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4439999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.44399999999999634 Order of pole (three term test) 650.9999999999951 Radius of convergence (six term test) for eq 1 0.10817974460525012 Order of pole (six term test) -12.285714285714286 TOP MAIN SOLVE Loop x[1] 0.057000000000000044 y[1] (analytic) 2.2573363431151243 y[1] (numeric) 2.2573363431151257 absolute error 1.3322676295501878e-15 relative error 5.901945598907331e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44299999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4429999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4429999999999848 Order of pole (three term test) 650.9999999999777 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.337004405286343 TOP MAIN SOLVE Loop x[1] 0.058000000000000045 y[1] (analytic) 2.2624434389140275 y[1] (numeric) 2.2624434389140284 absolute error 8.881784197001252e-16 relative error 3.925748615074553e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44199999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4419999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.44200000000000295 Order of pole (three term test) 651.0000000000048 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.3 TOP MAIN SOLVE Loop x[1] 0.059000000000000045 y[1] (analytic) 2.267573696145125 y[1] (numeric) 2.267573696145126 absolute error 8.881784197001252e-16 relative error 3.916866830877552e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.44099999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4409999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.44100000000001255 Order of pole (three term test) 651.0000000000192 Radius of convergence (six term test) for eq 1 0.1478016689125442 Order of pole (six term test) -13.666666666666666 TOP MAIN SOLVE Loop x[1] 0.060000000000000046 y[1] (analytic) 2.272727272727273 y[1] (numeric) 2.2727272727272743 absolute error 1.3322676295501878e-15 relative error 5.861977570020827e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43999999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.43999999999999956 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4399999999999918 Order of pole (three term test) 650.9999999999881 Radius of convergence (six term test) for eq 1 0.03016988933062603 Order of pole (six term test) -11.522222222222222 TOP MAIN SOLVE Loop x[1] 0.06100000000000005 y[1] (analytic) 2.2779043280182236 y[1] (numeric) 2.277904328018225 absolute error 1.3322676295501878e-15 relative error 5.848654893725324e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43899999999999995 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.43899999999999945 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.43899999999998707 Order of pole (three term test) 650.999999999981 Radius of convergence (six term test) for eq 1 0.11821416258339827 Order of pole (six term test) -14.235294117647058 TOP MAIN SOLVE Loop x[1] 0.06200000000000005 y[1] (analytic) 2.2831050228310503 y[1] (numeric) 2.283105022831052 absolute error 1.7763568394002505e-15 relative error 7.780442956573097e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43799999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.43799999999999945 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.43800000000001066 Order of pole (three term test) 651.0000000000168 Radius of convergence (six term test) for eq 1 0.20902312471749787 Order of pole (six term test) -17.5 TOP MAIN SOLVE Loop x[1] 0.06300000000000004 y[1] (analytic) 2.288329519450801 y[1] (numeric) 2.288329519450803 absolute error 1.7763568394002505e-15 relative error 7.762679388179094e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43699999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4369999999999994 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4369999999999948 Order of pole (three term test) 650.9999999999927 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.333333333333334 TOP MAIN SOLVE Loop x[1] 0.06400000000000004 y[1] (analytic) 2.2935779816513766 y[1] (numeric) 2.293577981651378 absolute error 1.3322676295501878e-15 relative error 5.808686864838818e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43599999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4359999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.43599999999998945 Order of pole (three term test) 650.9999999999844 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -8.5 TOP MAIN SOLVE Loop x[1] 0.06500000000000004 y[1] (analytic) 2.298850574712644 y[1] (numeric) 2.2988505747126453 absolute error 1.3322676295501878e-15 relative error 5.795364188543316e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43499999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.43499999999999966 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4349999999999987 Order of pole (three term test) 650.9999999999984 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.00925925925926 TOP MAIN SOLVE Loop x[1] 0.06600000000000004 y[1] (analytic) 2.3041474654377883 y[1] (numeric) 2.3041474654377896 absolute error 1.3322676295501878e-15 relative error 5.782041512247815e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43399999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.43399999999999955 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.43399999999999406 Order of pole (three term test) 650.9999999999912 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.0 TOP MAIN SOLVE Loop x[1] 0.06700000000000005 y[1] (analytic) 2.309468822170901 y[1] (numeric) 2.3094688221709023 absolute error 1.3322676295501878e-15 relative error 5.768718835952312e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43299999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4329999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4330000000000061 Order of pole (three term test) 651.0000000000102 Radius of convergence (six term test) for eq 1 0.09248465691511151 Order of pole (six term test) -13.257352941176471 TOP MAIN SOLVE Loop x[1] 0.06800000000000005 y[1] (analytic) 2.3148148148148153 y[1] (numeric) 2.3148148148148167 absolute error 1.3322676295501878e-15 relative error 5.75539615965681e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43199999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4319999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.43200000000000327 Order of pole (three term test) 651.0000000000055 Radius of convergence (six term test) for eq 1 0.02674274860919504 Order of pole (six term test) -11.873015873015873 TOP MAIN SOLVE Loop x[1] 0.06900000000000005 y[1] (analytic) 2.3201856148491884 y[1] (numeric) 2.3201856148491897 absolute error 1.3322676295501878e-15 relative error 5.742073483361309e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.43099999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.43099999999999944 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4309999999999871 Order of pole (three term test) 650.9999999999807 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.165562913907285 TOP MAIN SOLVE Loop x[1] 0.07000000000000005 y[1] (analytic) 2.3255813953488373 y[1] (numeric) 2.325581395348839 absolute error 1.7763568394002505e-15 relative error 7.638334409421077e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42999999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4299999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4300000000000039 Order of pole (three term test) 651.0000000000068 Radius of convergence (six term test) for eq 1 0.29584633280062633 Order of pole (six term test) -16.263157894736842 TOP MAIN SOLVE Loop x[1] 0.07100000000000005 y[1] (analytic) 2.3310023310023316 y[1] (numeric) 2.331002331002333 absolute error 1.3322676295501878e-15 relative error 5.715428130770304e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42899999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4289999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.42900000000000177 Order of pole (three term test) 651.0000000000035 Radius of convergence (six term test) for eq 1 0.10666666666666667 Order of pole (six term test) -12.916666666666666 TOP MAIN SOLVE Loop x[1] 0.07200000000000005 y[1] (analytic) 2.3364485981308416 y[1] (numeric) 2.336448598130843 absolute error 1.3322676295501878e-15 relative error 5.702105454474803e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42799999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.42799999999999955 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.42799999999999994 Order of pole (three term test) 651.0000000000006 Radius of convergence (six term test) for eq 1 0.2862167011199731 Order of pole (six term test) -15.0 TOP MAIN SOLVE Loop x[1] 0.07300000000000005 y[1] (analytic) 2.3419203747072603 y[1] (numeric) 2.3419203747072617 absolute error 1.3322676295501878e-15 relative error 5.6887827781793e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42699999999999994 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.42699999999999966 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.42700000000000204 Order of pole (three term test) 651.0000000000035 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.9 TOP MAIN SOLVE Loop x[1] 0.07400000000000005 y[1] (analytic) 2.3474178403755874 y[1] (numeric) 2.3474178403755888 absolute error 1.3322676295501878e-15 relative error 5.675460101883799e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42599999999999993 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.42599999999999943 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4259999999999989 Order of pole (three term test) 650.9999999999987 Radius of convergence (six term test) for eq 1 0.14070299688824445 Order of pole (six term test) -12.083333333333334 TOP MAIN SOLVE Loop x[1] 0.07500000000000005 y[1] (analytic) 2.3529411764705888 y[1] (numeric) 2.35294117647059 absolute error 1.3322676295501878e-15 relative error 5.662137425588297e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42499999999999993 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.42499999999999943 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.42500000000000804 Order of pole (three term test) 651.000000000013 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.380434782608695 TOP MAIN SOLVE Loop x[1] 0.07600000000000005 y[1] (analytic) 2.3584905660377364 y[1] (numeric) 2.3584905660377378 absolute error 1.3322676295501878e-15 relative error 5.6488147492927953e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42399999999999993 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.42399999999999943 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4240000000000101 Order of pole (three term test) 651.0000000000165 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -8.192307692307692 TOP MAIN SOLVE Loop x[1] 0.07700000000000005 y[1] (analytic) 2.364066193853428 y[1] (numeric) 2.36406619385343 absolute error 1.7763568394002505e-15 relative error 7.513989430663059e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42299999999999993 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.42299999999999954 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.42299999999999194 Order of pole (three term test) 650.999999999988 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.5 TOP MAIN SOLVE Loop x[1] 0.07800000000000006 y[1] (analytic) 2.369668246445498 y[1] (numeric) 2.3696682464455 absolute error 1.7763568394002505e-15 relative error 7.496225862269055e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42199999999999993 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.42199999999999943 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.42200000000000804 Order of pole (three term test) 651.0000000000132 Radius of convergence (six term test) for eq 1 0.059252486385443295 Order of pole (six term test) -12.214285714285714 TOP MAIN SOLVE Loop x[1] 0.07900000000000006 y[1] (analytic) 2.3752969121140146 y[1] (numeric) 2.3752969121140164 absolute error 1.7763568394002505e-15 relative error 7.478462293875053e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.42099999999999993 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4209999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.42100000000000104 Order of pole (three term test) 651.0000000000024 Radius of convergence (six term test) for eq 1 0.06572228071071622 Order of pole (six term test) -12.427272727272728 TOP MAIN SOLVE Loop x[1] 0.08000000000000006 y[1] (analytic) 2.3809523809523814 y[1] (numeric) 2.380952380952383 absolute error 1.7763568394002505e-15 relative error 7.460698725481051e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.41999999999999993 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4199999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.41999999999999904 Order of pole (three term test) 650.9999999999991 Radius of convergence (six term test) for eq 1 0.256 Order of pole (six term test) -22.0 TOP MAIN SOLVE Loop x[1] 0.08100000000000006 y[1] (analytic) 2.3866348448687353 y[1] (numeric) 2.386634844868737 absolute error 1.7763568394002505e-15 relative error 7.442935157087049e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.41899999999999993 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4189999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4189999999999962 Order of pole (three term test) 650.9999999999947 Radius of convergence (six term test) for eq 1 0.11953850653849807 Order of pole (six term test) -12.355113636363637 TOP MAIN SOLVE Loop x[1] 0.08200000000000006 y[1] (analytic) 2.392344497607656 y[1] (numeric) 2.3923444976076573 absolute error 1.3322676295501878e-15 relative error 5.568878691519784e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4179999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4179999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4179999999999978 Order of pole (three term test) 650.999999999997 Radius of convergence (six term test) for eq 1 0.1342475325657794 Order of pole (six term test) -12.618181818181817 TOP MAIN SOLVE Loop x[1] 0.08300000000000006 y[1] (analytic) 2.398081534772183 y[1] (numeric) 2.398081534772184 absolute error 1.3322676295501878e-15 relative error 5.555556015224282e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4169999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4169999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.41700000000000986 Order of pole (three term test) 651.0000000000163 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.08400000000000006 y[1] (analytic) 2.403846153846154 y[1] (numeric) 2.403846153846156 absolute error 1.7763568394002505e-15 relative error 7.389644451905041e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4159999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.41599999999999937 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4159999999999967 Order of pole (three term test) 650.9999999999953 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.807692307692308 TOP MAIN SOLVE Loop x[1] 0.08500000000000006 y[1] (analytic) 2.409638554216868 y[1] (numeric) 2.4096385542168695 absolute error 1.3322676295501878e-15 relative error 5.528910662633278e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4149999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4149999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.41500000000001347 Order of pole (three term test) 651.0000000000219 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.038461538461538 TOP MAIN SOLVE Loop x[1] 0.08600000000000006 y[1] (analytic) 2.415458937198068 y[1] (numeric) 2.4154589371980695 absolute error 1.3322676295501878e-15 relative error 5.5155879863377766e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4139999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.41399999999999954 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.41399999999999104 Order of pole (three term test) 650.9999999999861 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.479166666666666 TOP MAIN SOLVE Loop x[1] 0.08700000000000006 y[1] (analytic) 2.421307506053269 y[1] (numeric) 2.4213075060532705 absolute error 1.3322676295501878e-15 relative error 5.502265310042275e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4129999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4129999999999994 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4130000000000004 Order of pole (three term test) 651.0000000000014 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.5 TOP MAIN SOLVE Loop x[1] 0.08800000000000006 y[1] (analytic) 2.4271844660194177 y[1] (numeric) 2.427184466019419 absolute error 1.3322676295501878e-15 relative error 5.488942633746773e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4119999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.41199999999999953 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4120000000000002 Order of pole (three term test) 651.0000000000007 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 0.5 TOP MAIN SOLVE Loop x[1] 0.08900000000000007 y[1] (analytic) 2.433090024330901 y[1] (numeric) 2.4330900243309017 absolute error 8.881784197001252e-16 relative error 3.6504133049675136e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4109999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4109999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4109999999999958 Order of pole (three term test) 650.9999999999937 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -8.5 TOP MAIN SOLVE Loop x[1] 0.09000000000000007 y[1] (analytic) 2.439024390243903 y[1] (numeric) 2.4390243902439037 absolute error 8.881784197001252e-16 relative error 3.641531520770513e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4099999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4099999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4100000000000043 Order of pole (three term test) 651.0000000000074 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.520833333333332 TOP MAIN SOLVE Loop x[1] 0.09100000000000007 y[1] (analytic) 2.4449877750611253 y[1] (numeric) 2.444987775061126 absolute error 8.881784197001252e-16 relative error 3.6326497365735114e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4089999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.40899999999999953 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.40899999999999115 Order of pole (three term test) 650.999999999986 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.58 TOP MAIN SOLVE Loop x[1] 0.09200000000000007 y[1] (analytic) 2.4509803921568634 y[1] (numeric) 2.4509803921568643 absolute error 8.881784197001252e-16 relative error 3.62376795237651e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4079999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4079999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4080000000000061 Order of pole (three term test) 651.0000000000102 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.09300000000000007 y[1] (analytic) 2.4570024570024573 y[1] (numeric) 2.4570024570024587 absolute error 1.3322676295501878e-15 relative error 5.4223292522692637e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4069999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4069999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.40699999999999437 Order of pole (three term test) 650.9999999999911 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.818181818181818 TOP MAIN SOLVE Loop x[1] 0.09400000000000007 y[1] (analytic) 2.4630541871921188 y[1] (numeric) 2.46305418719212 absolute error 1.3322676295501878e-15 relative error 5.409006575973761e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4059999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.40599999999999953 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4060000000000051 Order of pole (three term test) 651.000000000009 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.09500000000000007 y[1] (analytic) 2.469135802469136 y[1] (numeric) 2.469135802469138 absolute error 1.7763568394002505e-15 relative error 7.194245199571013e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4049999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4049999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.40499999999998954 Order of pole (three term test) 650.9999999999836 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.45 TOP MAIN SOLVE Loop x[1] 0.09600000000000007 y[1] (analytic) 2.4752475247524757 y[1] (numeric) 2.4752475247524774 absolute error 1.7763568394002505e-15 relative error 7.17648163117701e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4039999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.40399999999999936 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.40399999999999964 Order of pole (three term test) 650.9999999999999 Radius of convergence (six term test) for eq 1 0.14310835055998655 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.09700000000000007 y[1] (analytic) 2.481389578163772 y[1] (numeric) 2.481389578163774 absolute error 1.7763568394002505e-15 relative error 7.158718062783009e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4029999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4029999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.40300000000000974 Order of pole (three term test) 651.0000000000166 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 6.0 TOP MAIN SOLVE Loop x[1] 0.09800000000000007 y[1] (analytic) 2.487562189054727 y[1] (numeric) 2.4875621890547284 absolute error 1.3322676295501878e-15 relative error 5.3557158707917536e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4019999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.40199999999999936 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.40200000000000186 Order of pole (three term test) 651.0000000000039 Radius of convergence (six term test) for eq 1 0.19584038027295225 Order of pole (six term test) -16.25 TOP MAIN SOLVE Loop x[1] 0.09900000000000007 y[1] (analytic) 2.4937655860349133 y[1] (numeric) 2.4937655860349146 absolute error 1.3322676295501878e-15 relative error 5.342393194496252e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.4009999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.4009999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4010000000000004 Order of pole (three term test) 651.0000000000014 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.944444444444445 TOP MAIN SOLVE Loop x[1] 0.10000000000000007 y[1] (analytic) 2.5000000000000004 y[1] (numeric) 2.5000000000000018 absolute error 1.3322676295501878e-15 relative error 5.32907051820075e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3999999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.39999999999999963 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.4000000000000152 Order of pole (three term test) 651.0000000000257 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -6.5 TOP MAIN SOLVE Loop x[1] 0.10100000000000008 y[1] (analytic) 2.5062656641604018 y[1] (numeric) 2.5062656641604026 absolute error 8.881784197001252e-16 relative error 3.543831894603499e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3989999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3989999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.39900000000000224 Order of pole (three term test) 651.000000000004 Radius of convergence (six term test) for eq 1 0.07113202306895505 Order of pole (six term test) -12.205882352941176 TOP MAIN SOLVE Loop x[1] 0.10200000000000008 y[1] (analytic) 2.5125628140703524 y[1] (numeric) 2.5125628140703533 absolute error 8.881784197001252e-16 relative error 3.5349501104064975e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3979999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3979999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3979999999999895 Order of pole (three term test) 650.9999999999831 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.10300000000000008 y[1] (analytic) 2.5188916876574314 y[1] (numeric) 2.5188916876574323 absolute error 8.881784197001252e-16 relative error 3.526068326209496e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3969999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3969999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.39699999999999414 Order of pole (three term test) 650.9999999999905 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.277777777777779 TOP MAIN SOLVE Loop x[1] 0.10400000000000008 y[1] (analytic) 2.525252525252526 y[1] (numeric) 2.525252525252527 absolute error 8.881784197001252e-16 relative error 3.517186542012495e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3959999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3959999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.39599999999998875 Order of pole (three term test) 650.9999999999816 Radius of convergence (six term test) for eq 1 0.048379452545181084 Order of pole (six term test) -11.428571428571429 TOP MAIN SOLVE Loop x[1] 0.10500000000000008 y[1] (analytic) 2.5316455696202538 y[1] (numeric) 2.5316455696202547 absolute error 8.881784197001252e-16 relative error 3.508304757815494e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3949999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.39499999999999946 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.39500000000001306 Order of pole (three term test) 651.0000000000224 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.46923076923077 TOP MAIN SOLVE Loop x[1] 0.10600000000000008 y[1] (analytic) 2.538071065989848 y[1] (numeric) 2.538071065989849 absolute error 8.881784197001252e-16 relative error 3.4994229736184927e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3939999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.39399999999999963 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3939999999999902 Order of pole (three term test) 650.9999999999837 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.9625 TOP MAIN SOLVE Loop x[1] 0.10700000000000008 y[1] (analytic) 2.5445292620865145 y[1] (numeric) 2.5445292620865154 absolute error 8.881784197001252e-16 relative error 3.490541189421491e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3929999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.39299999999999974 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.39299999999998364 Order of pole (three term test) 650.9999999999728 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.10800000000000008 y[1] (analytic) 2.551020408163266 y[1] (numeric) 2.5510204081632666 absolute error 4.440892098500626e-16 relative error 1.740829702612245e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3919999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3919999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.39200000000001023 Order of pole (three term test) 651.0000000000178 Radius of convergence (six term test) for eq 1 0.2918849088253794 Order of pole (six term test) -20.0 TOP MAIN SOLVE Loop x[1] 0.10900000000000008 y[1] (analytic) 2.5575447570332486 y[1] (numeric) 2.5575447570332495 absolute error 8.881784197001252e-16 relative error 3.472777621027489e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3909999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3909999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3909999999999954 Order of pole (three term test) 650.9999999999927 Radius of convergence (six term test) for eq 1 0.10817974460525012 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.11000000000000008 y[1] (analytic) 2.5641025641025648 y[1] (numeric) 2.5641025641025657 absolute error 8.881784197001252e-16 relative error 3.463895836830488e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3899999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3899999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.39000000000000773 Order of pole (three term test) 651.0000000000136 Radius of convergence (six term test) for eq 1 0.4147674046981031 Order of pole (six term test) -25.5 TOP MAIN SOLVE Loop x[1] 0.11100000000000008 y[1] (analytic) 2.5706940874035995 y[1] (numeric) 2.5706940874036004 absolute error 8.881784197001252e-16 relative error 3.4550140526334864e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3889999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3889999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3889999999999941 Order of pole (three term test) 650.9999999999903 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -20.0 TOP MAIN SOLVE Loop x[1] 0.11200000000000009 y[1] (analytic) 2.5773195876288666 y[1] (numeric) 2.5773195876288675 absolute error 8.881784197001252e-16 relative error 3.446132268436485e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3879999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3879999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.38799999999999096 Order of pole (three term test) 650.9999999999852 Radius of convergence (six term test) for eq 1 0.07155417527999328 Order of pole (six term test) -9.5 TOP MAIN SOLVE Loop x[1] 0.11300000000000009 y[1] (analytic) 2.5839793281653756 y[1] (numeric) 2.583979328165376 absolute error 4.440892098500626e-16 relative error 1.7186252421197418e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3869999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3869999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.387000000000009 Order of pole (three term test) 651.0000000000159 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.282051282051283 TOP MAIN SOLVE Loop x[1] 0.11400000000000009 y[1] (analytic) 2.5906735751295344 y[1] (numeric) 2.590673575129535 absolute error 4.440892098500626e-16 relative error 1.714184350021241e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3859999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3859999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3860000000000069 Order of pole (three term test) 651.0000000000123 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -8.75 TOP MAIN SOLVE Loop x[1] 0.11500000000000009 y[1] (analytic) 2.5974025974025983 y[1] (numeric) 2.5974025974025987 absolute error 4.440892098500626e-16 relative error 1.7097434579227404e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3849999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.38499999999999973 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3850000000000081 Order of pole (three term test) 651.0000000000143 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.5625 TOP MAIN SOLVE Loop x[1] 0.11600000000000009 y[1] (analytic) 2.6041666666666674 y[1] (numeric) 2.604166666666668 absolute error 4.440892098500626e-16 relative error 1.70530256582424e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3839999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.38399999999999956 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.38399999999999934 Order of pole (three term test) 650.9999999999993 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.833333333333332 TOP MAIN SOLVE Loop x[1] 0.11700000000000009 y[1] (analytic) 2.610966057441254 y[1] (numeric) 2.6109660574412543 absolute error 4.440892098500626e-16 relative error 1.7008616737257394e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3829999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3829999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3830000000000062 Order of pole (three term test) 651.0000000000113 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.11800000000000009 y[1] (analytic) 2.6178010471204196 y[1] (numeric) 2.61780104712042 absolute error 4.440892098500626e-16 relative error 1.6964207816272387e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3819999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3819999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3820000000000097 Order of pole (three term test) 651.0000000000173 Radius of convergence (six term test) for eq 1 0.042608969998397334 Order of pole (six term test) -12.232432432432432 TOP MAIN SOLVE Loop x[1] 0.11900000000000009 y[1] (analytic) 2.624671916010499 y[1] (numeric) 2.6246719160105 absolute error 8.881784197001252e-16 relative error 3.3839597790574766e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3809999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3809999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.38099999999999196 Order of pole (three term test) 650.9999999999865 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -14.0 TOP MAIN SOLVE Loop x[1] 0.12000000000000009 y[1] (analytic) 2.6315789473684217 y[1] (numeric) 2.6315789473684226 absolute error 8.881784197001252e-16 relative error 3.375077994860475e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3799999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.37999999999999967 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.38000000000001083 Order of pole (three term test) 651.0000000000192 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.277777777777779 TOP MAIN SOLVE Loop x[1] 0.1210000000000001 y[1] (analytic) 2.638522427440634 y[1] (numeric) 2.638522427440635 absolute error 8.881784197001252e-16 relative error 3.366196210663474e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3789999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3789999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3790000000000046 Order of pole (three term test) 651.0000000000084 Radius of convergence (six term test) for eq 1 0.128 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.1220000000000001 y[1] (analytic) 2.6455026455026465 y[1] (numeric) 2.6455026455026474 absolute error 8.881784197001252e-16 relative error 3.357314426466472e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3779999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.37799999999999956 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.37799999999999806 Order of pole (three term test) 650.9999999999968 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.23076923076923 TOP MAIN SOLVE Loop x[1] 0.1230000000000001 y[1] (analytic) 2.652519893899205 y[1] (numeric) 2.652519893899206 absolute error 8.881784197001252e-16 relative error 3.348432642269471e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3769999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3769999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.37700000000000305 Order of pole (three term test) 651.000000000006 Radius of convergence (six term test) for eq 1 0.128 Order of pole (six term test) -14.0 TOP MAIN SOLVE Loop x[1] 0.1240000000000001 y[1] (analytic) 2.6595744680851072 y[1] (numeric) 2.659574468085108 absolute error 8.881784197001252e-16 relative error 3.33955085807247e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3759999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3759999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3759999999999838 Order of pole (three term test) 650.9999999999718 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.79032258064516 TOP MAIN SOLVE Loop x[1] 0.12500000000000008 y[1] (analytic) 2.6666666666666674 y[1] (numeric) 2.6666666666666683 absolute error 8.881784197001252e-16 relative error 3.330669073875469e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3749999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3749999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3749999999999984 Order of pole (three term test) 650.9999999999976 Radius of convergence (six term test) for eq 1 0.064 Order of pole (six term test) -11.5 TOP MAIN SOLVE Loop x[1] 0.12600000000000008 y[1] (analytic) 2.673796791443851 y[1] (numeric) 2.673796791443852 absolute error 8.881784197001252e-16 relative error 3.321787289678467e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3739999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.37399999999999967 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3739999999999946 Order of pole (three term test) 650.9999999999908 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -12.029411764705882 TOP MAIN SOLVE Loop x[1] 0.12700000000000009 y[1] (analytic) 2.680965147453084 y[1] (numeric) 2.680965147453085 absolute error 8.881784197001252e-16 relative error 3.312905505481466e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3729999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3729999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3729999999999998 Order of pole (three term test) 650.9999999999998 Radius of convergence (six term test) for eq 1 0.07181870178390812 Order of pole (six term test) -12.222222222222221 TOP MAIN SOLVE Loop x[1] 0.12800000000000009 y[1] (analytic) 2.6881720430107534 y[1] (numeric) 2.6881720430107543 absolute error 8.881784197001252e-16 relative error 3.304023721284465e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3719999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3719999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.37199999999999267 Order of pole (three term test) 650.9999999999874 Radius of convergence (six term test) for eq 1 0.03304945788763662 Order of pole (six term test) -11.6 TOP MAIN SOLVE Loop x[1] 0.1290000000000001 y[1] (analytic) 2.695417789757413 y[1] (numeric) 2.695417789757414 absolute error 8.881784197001252e-16 relative error 3.2951419370874635e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3709999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.37099999999999955 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3709999999999859 Order of pole (three term test) 650.9999999999751 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.75 TOP MAIN SOLVE Loop x[1] 0.1300000000000001 y[1] (analytic) 2.7027027027027035 y[1] (numeric) 2.7027027027027044 absolute error 8.881784197001252e-16 relative error 3.286260152890462e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3699999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3699999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.37 Order of pole (three term test) 651.0000000000002 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.766666666666666 TOP MAIN SOLVE Loop x[1] 0.1310000000000001 y[1] (analytic) 2.7100271002710037 y[1] (numeric) 2.7100271002710046 absolute error 8.881784197001252e-16 relative error 3.277378368693461e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3689999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3689999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.368999999999998 Order of pole (three term test) 650.999999999997 Radius of convergence (six term test) for eq 1 0.05542562584220407 Order of pole (six term test) -11.666666666666666 TOP MAIN SOLVE Loop x[1] 0.1320000000000001 y[1] (analytic) 2.717391304347827 y[1] (numeric) 2.717391304347828 absolute error 8.881784197001252e-16 relative error 3.26849658449646e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3679999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.36799999999999955 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.36800000000000216 Order of pole (three term test) 651.0000000000043 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.1330000000000001 y[1] (analytic) 2.724795640326976 y[1] (numeric) 2.7247956403269775 absolute error 1.3322676295501878e-15 relative error 4.889422200449188e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3669999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.36699999999999955 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.36699999999999644 Order of pole (three term test) 650.9999999999944 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -12.091954022988507 TOP MAIN SOLVE Loop x[1] 0.1340000000000001 y[1] (analytic) 2.7322404371584708 y[1] (numeric) 2.732240437158472 absolute error 1.3322676295501878e-15 relative error 4.876099524153686e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3659999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3659999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.36599999999998845 Order of pole (three term test) 650.9999999999798 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.601503759398497 TOP MAIN SOLVE Loop x[1] 0.1350000000000001 y[1] (analytic) 2.739726027397261 y[1] (numeric) 2.7397260273972623 absolute error 1.3322676295501878e-15 relative error 4.8627768478581844e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3649999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3649999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3650000000000052 Order of pole (three term test) 651.00000000001 Radius of convergence (six term test) for eq 1 0.13236985222390246 Order of pole (six term test) -12.958333333333334 TOP MAIN SOLVE Loop x[1] 0.1360000000000001 y[1] (analytic) 2.747252747252748 y[1] (numeric) 2.7472527472527495 absolute error 1.3322676295501878e-15 relative error 4.849454171562682e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3639999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.36399999999999955 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.36399999999998844 Order of pole (three term test) 650.9999999999793 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.264705882352942 TOP MAIN SOLVE Loop x[1] 0.1370000000000001 y[1] (analytic) 2.754820936639119 y[1] (numeric) 2.7548209366391205 absolute error 1.3322676295501878e-15 relative error 4.836131495267181e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3629999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.36299999999999966 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3630000000000055 Order of pole (three term test) 651.0000000000103 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.291666666666666 TOP MAIN SOLVE Loop x[1] 0.1380000000000001 y[1] (analytic) 2.7624309392265203 y[1] (numeric) 2.7624309392265216 absolute error 1.3322676295501878e-15 relative error 4.8228088189716785e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3619999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.36199999999999966 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.36200000000000637 Order of pole (three term test) 651.0000000000124 Radius of convergence (six term test) for eq 1 0.13825580156603437 Order of pole (six term test) -13.166666666666666 TOP MAIN SOLVE Loop x[1] 0.1390000000000001 y[1] (analytic) 2.770083102493076 y[1] (numeric) 2.770083102493077 absolute error 1.3322676295501878e-15 relative error 4.809486142676176e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3609999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3609999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.36100000000000343 Order of pole (three term test) 651.000000000007 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.76923076923077 TOP MAIN SOLVE Loop x[1] 0.1400000000000001 y[1] (analytic) 2.7777777777777786 y[1] (numeric) 2.7777777777777803 absolute error 1.7763568394002505e-15 relative error 6.3948846218409e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3599999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.35999999999999954 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3599999999999959 Order of pole (three term test) 650.9999999999928 Radius of convergence (six term test) for eq 1 0.0905096679918781 Order of pole (six term test) -13.5 TOP MAIN SOLVE Loop x[1] 0.1410000000000001 y[1] (analytic) 2.785515320334263 y[1] (numeric) 2.7855153203342646 absolute error 1.7763568394002505e-15 relative error 6.377121053446896e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3589999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.35899999999999943 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.35899999999999826 Order of pole (three term test) 650.9999999999975 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.973684210526315 TOP MAIN SOLVE Loop x[1] 0.1420000000000001 y[1] (analytic) 2.7932960893854757 y[1] (numeric) 2.7932960893854775 absolute error 1.7763568394002505e-15 relative error 6.359357485052895e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3579999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.35799999999999954 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3580000000000039 Order of pole (three term test) 651.000000000008 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.1 TOP MAIN SOLVE Loop x[1] 0.1430000000000001 y[1] (analytic) 2.801120448179273 y[1] (numeric) 2.801120448179274 absolute error 1.3322676295501878e-15 relative error 4.7561954374941685e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3569999999999999 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3569999999999994 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.35700000000000126 Order of pole (three term test) 651.000000000003 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.354166666666666 TOP MAIN SOLVE Loop x[1] 0.1440000000000001 y[1] (analytic) 2.808988764044945 y[1] (numeric) 2.8089887640449462 absolute error 1.3322676295501878e-15 relative error 4.742872761198667e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.35599999999999987 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3559999999999994 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3559999999999956 Order of pole (three term test) 650.9999999999925 Radius of convergence (six term test) for eq 1 0.11488351588553608 Order of pole (six term test) -11.38888888888889 TOP MAIN SOLVE Loop x[1] 0.1450000000000001 y[1] (analytic) 2.8169014084507054 y[1] (numeric) 2.8169014084507067 absolute error 1.3322676295501878e-15 relative error 4.729550084903165e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.35499999999999987 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3549999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3550000000000075 Order of pole (three term test) 651.0000000000147 Radius of convergence (six term test) for eq 1 0.07838367176906169 Order of pole (six term test) -13.0 TOP MAIN SOLVE Loop x[1] 0.1460000000000001 y[1] (analytic) 2.824858757062148 y[1] (numeric) 2.8248587570621493 absolute error 1.3322676295501878e-15 relative error 4.716227408607663e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.35399999999999987 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.35399999999999954 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.35400000000000326 Order of pole (three term test) 651.0000000000066 Radius of convergence (six term test) for eq 1 0.08095430810031051 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.1470000000000001 y[1] (analytic) 2.832861189801701 y[1] (numeric) 2.832861189801702 absolute error 1.3322676295501878e-15 relative error 4.7029047323121615e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.35299999999999987 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3529999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.352999999999999 Order of pole (three term test) 650.9999999999984 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.7 TOP MAIN SOLVE Loop x[1] 0.1480000000000001 y[1] (analytic) 2.840909090909092 y[1] (numeric) 2.8409090909090935 absolute error 1.3322676295501878e-15 relative error 4.689582056016659e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.35199999999999987 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3519999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.35200000000000375 Order of pole (three term test) 651.0000000000077 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.833333333333334 TOP MAIN SOLVE Loop x[1] 0.1490000000000001 y[1] (analytic) 2.8490028490028503 y[1] (numeric) 2.8490028490028516 absolute error 1.3322676295501878e-15 relative error 4.6762593797211573e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.35099999999999987 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3509999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.35099999999999554 Order of pole (three term test) 650.999999999992 Radius of convergence (six term test) for eq 1 0.043903637796482264 Order of pole (six term test) -12.323529411764707 TOP MAIN SOLVE Loop x[1] 0.1500000000000001 y[1] (analytic) 2.857142857142858 y[1] (numeric) 2.85714285714286 absolute error 1.7763568394002505e-15 relative error 6.217248937900874e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34999999999999987 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3499999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.34999999999999754 Order of pole (three term test) 650.9999999999958 Radius of convergence (six term test) for eq 1 0.06618492611195123 Order of pole (six term test) -12.340277777777779 TOP MAIN SOLVE Loop x[1] 0.1510000000000001 y[1] (analytic) 2.8653295128939837 y[1] (numeric) 2.8653295128939855 absolute error 1.7763568394002505e-15 relative error 6.199485369506873e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34899999999999987 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3489999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3489999999999973 Order of pole (three term test) 650.9999999999956 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.535714285714285 TOP MAIN SOLVE Loop x[1] 0.1520000000000001 y[1] (analytic) 2.8735632183908058 y[1] (numeric) 2.8735632183908075 absolute error 1.7763568394002505e-15 relative error 6.181721801112869e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34799999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.34799999999999953 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.34799999999999537 Order of pole (three term test) 650.999999999992 Radius of convergence (six term test) for eq 1 0.05333333333333334 Order of pole (six term test) -11.777777777777779 TOP MAIN SOLVE Loop x[1] 0.1530000000000001 y[1] (analytic) 2.8818443804034595 y[1] (numeric) 2.8818443804034612 absolute error 1.7763568394002505e-15 relative error 6.163958232718866e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34699999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3469999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.34699999999999726 Order of pole (three term test) 650.9999999999953 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.25 TOP MAIN SOLVE Loop x[1] 0.1540000000000001 y[1] (analytic) 2.8901734104046253 y[1] (numeric) 2.8901734104046275 absolute error 2.220446049250313e-15 relative error 7.682743330406081e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34599999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.34599999999999953 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.34599999999999187 Order of pole (three term test) 650.9999999999853 Radius of convergence (six term test) for eq 1 0.009914837366290988 Order of pole (six term test) -11.815999999999999 TOP MAIN SOLVE Loop x[1] 0.1550000000000001 y[1] (analytic) 2.8985507246376825 y[1] (numeric) 2.8985507246376843 absolute error 1.7763568394002505e-15 relative error 6.128431095930862e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34499999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3449999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3450000000000031 Order of pole (three term test) 651.0000000000066 Radius of convergence (six term test) for eq 1 0.03695041722813605 Order of pole (six term test) -11.797619047619047 TOP MAIN SOLVE Loop x[1] 0.1560000000000001 y[1] (analytic) 2.9069767441860477 y[1] (numeric) 2.9069767441860495 absolute error 1.7763568394002505e-15 relative error 6.110667527536859e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34399999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3439999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.34400000000000763 Order of pole (three term test) 651.0000000000151 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.833333333333334 TOP MAIN SOLVE Loop x[1] 0.1570000000000001 y[1] (analytic) 2.915451895043733 y[1] (numeric) 2.9154518950437347 absolute error 1.7763568394002505e-15 relative error 6.092903959142857e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34299999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3429999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3429999999999966 Order of pole (three term test) 650.9999999999942 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.4375 TOP MAIN SOLVE Loop x[1] 0.1580000000000001 y[1] (analytic) 2.923976608187136 y[1] (numeric) 2.9239766081871372 absolute error 1.3322676295501878e-15 relative error 4.55635529306164e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34199999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3419999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.342 Order of pole (three term test) 651.0000000000007 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.1590000000000001 y[1] (analytic) 2.9325513196480952 y[1] (numeric) 2.9325513196480966 absolute error 1.3322676295501878e-15 relative error 4.5430326167661385e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.34099999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3409999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.34099999999998903 Order of pole (three term test) 650.9999999999791 Radius of convergence (six term test) for eq 1 0.09558886320712663 Order of pole (six term test) -12.961538461538462 TOP MAIN SOLVE Loop x[1] 0.16000000000000011 y[1] (analytic) 2.9411764705882364 y[1] (numeric) 2.941176470588238 absolute error 1.7763568394002505e-15 relative error 6.039613253960849e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33999999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3399999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3399999999999964 Order of pole (three term test) 650.9999999999936 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.7 TOP MAIN SOLVE Loop x[1] 0.16100000000000012 y[1] (analytic) 2.9498525073746324 y[1] (numeric) 2.9498525073746342 absolute error 1.7763568394002505e-15 relative error 6.021849685566846e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33899999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3389999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.33900000000000163 Order of pole (three term test) 651.0000000000038 Radius of convergence (six term test) for eq 1 0.1810193359837562 Order of pole (six term test) -13.5 TOP MAIN SOLVE Loop x[1] 0.16200000000000012 y[1] (analytic) 2.958579881656806 y[1] (numeric) 2.958579881656808 absolute error 1.7763568394002505e-15 relative error 6.004086117172844e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33799999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3379999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.33800000000000463 Order of pole (three term test) 651.0000000000098 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.727272727272727 TOP MAIN SOLVE Loop x[1] 0.16300000000000012 y[1] (analytic) 2.967359050445105 y[1] (numeric) 2.967359050445107 absolute error 1.7763568394002505e-15 relative error 5.986322548778842e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33699999999999986 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.33699999999999947 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.33699999999999153 Order of pole (three term test) 650.9999999999841 Radius of convergence (six term test) for eq 1 0.032 Order of pole (six term test) -9.375 TOP MAIN SOLVE Loop x[1] 0.16400000000000012 y[1] (analytic) 2.9761904761904776 y[1] (numeric) 2.9761904761904794 absolute error 1.7763568394002505e-15 relative error 5.968558980384839e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33599999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3359999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3359999999999871 Order of pole (three term test) 650.9999999999753 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.16500000000000012 y[1] (analytic) 2.985074626865673 y[1] (numeric) 2.985074626865675 absolute error 1.7763568394002505e-15 relative error 5.950795411990837e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33499999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.33499999999999946 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3349999999999965 Order of pole (three term test) 650.9999999999937 Radius of convergence (six term test) for eq 1 0.15145164244735018 Order of pole (six term test) -14.4 TOP MAIN SOLVE Loop x[1] 0.16600000000000012 y[1] (analytic) 2.9940119760479056 y[1] (numeric) 2.9940119760479074 absolute error 1.7763568394002505e-15 relative error 5.933031843596834e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33399999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3339999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.334000000000002 Order of pole (three term test) 651.0000000000045 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.785714285714285 TOP MAIN SOLVE Loop x[1] 0.16700000000000012 y[1] (analytic) 3.003003003003004 y[1] (numeric) 3.0030030030030064 absolute error 2.220446049250313e-15 relative error 7.39408534400354e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33299999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3329999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3329999999999998 Order of pole (three term test) 651.0000000000006 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.16800000000000012 y[1] (analytic) 3.012048192771086 y[1] (numeric) 3.0120481927710876 absolute error 1.7763568394002505e-15 relative error 5.897504706808828e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33199999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3319999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3319999999999852 Order of pole (three term test) 650.9999999999712 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.298969072164947 TOP MAIN SOLVE Loop x[1] 0.16900000000000012 y[1] (analytic) 3.021148036253778 y[1] (numeric) 3.0211480362537797 absolute error 1.7763568394002505e-15 relative error 5.879741138414827e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.33099999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.33099999999999946 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3309999999999967 Order of pole (three term test) 650.9999999999941 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.30952380952381 TOP MAIN SOLVE Loop x[1] 0.17000000000000012 y[1] (analytic) 3.0303030303030316 y[1] (numeric) 3.0303030303030334 absolute error 1.7763568394002505e-15 relative error 5.861977570020824e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32999999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.32999999999999957 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.32999999999999335 Order of pole (three term test) 650.9999999999874 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.217391304347826 TOP MAIN SOLVE Loop x[1] 0.17100000000000012 y[1] (analytic) 3.0395136778115517 y[1] (numeric) 3.0395136778115535 absolute error 1.7763568394002505e-15 relative error 5.844214001626821e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32899999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.32899999999999957 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.32899999999999247 Order of pole (three term test) 650.9999999999852 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.732394366197184 TOP MAIN SOLVE Loop x[1] 0.17200000000000013 y[1] (analytic) 3.0487804878048794 y[1] (numeric) 3.048780487804881 absolute error 1.7763568394002505e-15 relative error 5.826450433232818e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32799999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3279999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.32800000000000124 Order of pole (three term test) 651.0000000000031 Radius of convergence (six term test) for eq 1 0.12475896761355473 Order of pole (six term test) -12.7 TOP MAIN SOLVE Loop x[1] 0.17300000000000013 y[1] (analytic) 3.0581039755351695 y[1] (numeric) 3.0581039755351713 absolute error 1.7763568394002505e-15 relative error 5.808686864838817e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32699999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.32699999999999946 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.326999999999995 Order of pole (three term test) 650.9999999999907 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.0 TOP MAIN SOLVE Loop x[1] 0.17400000000000013 y[1] (analytic) 3.0674846625766885 y[1] (numeric) 3.0674846625766903 absolute error 1.7763568394002505e-15 relative error 5.790923296444814e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32599999999999985 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3259999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.325999999999996 Order of pole (three term test) 650.9999999999927 Radius of convergence (six term test) for eq 1 0.08379566985062106 Order of pole (six term test) -12.285714285714285 TOP MAIN SOLVE Loop x[1] 0.17500000000000013 y[1] (analytic) 3.0769230769230784 y[1] (numeric) 3.07692307692308 absolute error 1.7763568394002505e-15 relative error 5.773159728050811e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32499999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3249999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3250000000000062 Order of pole (three term test) 651.0000000000133 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.638461538461538 TOP MAIN SOLVE Loop x[1] 0.17600000000000013 y[1] (analytic) 3.086419753086421 y[1] (numeric) 3.0864197530864232 absolute error 2.220446049250313e-15 relative error 7.194245199571012e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32399999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3239999999999994 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3239999999999971 Order of pole (three term test) 650.999999999995 Radius of convergence (six term test) for eq 1 0.06874702790778556 Order of pole (six term test) -11.923076923076923 TOP MAIN SOLVE Loop x[1] 0.17700000000000013 y[1] (analytic) 3.095975232198144 y[1] (numeric) 3.0959752321981457 absolute error 1.7763568394002505e-15 relative error 5.737632591262806e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32299999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.32299999999999945 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.32300000000000206 Order of pole (three term test) 651.0000000000051 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.846153846153847 TOP MAIN SOLVE Loop x[1] 0.17800000000000013 y[1] (analytic) 3.1055900621118027 y[1] (numeric) 3.1055900621118044 absolute error 1.7763568394002505e-15 relative error 5.719869022868804e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32199999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3219999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3220000000000023 Order of pole (three term test) 651.0000000000055 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.666666666666666 TOP MAIN SOLVE Loop x[1] 0.17900000000000013 y[1] (analytic) 3.11526479750779 y[1] (numeric) 3.115264797507791 absolute error 1.3322676295501878e-15 relative error 4.276579090856101e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.32099999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3209999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.32100000000000856 Order of pole (three term test) 651.0000000000184 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.615384615384615 TOP MAIN SOLVE Loop x[1] 0.18000000000000013 y[1] (analytic) 3.1250000000000018 y[1] (numeric) 3.125000000000003 absolute error 1.3322676295501878e-15 relative error 4.2632564145605986e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31999999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.31999999999999956 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.31999999999999545 Order of pole (three term test) 650.9999999999914 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -12.666666666666666 TOP MAIN SOLVE Loop x[1] 0.18100000000000013 y[1] (analytic) 3.134796238244516 y[1] (numeric) 3.134796238244517 absolute error 1.3322676295501878e-15 relative error 4.249933738265097e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31899999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.31899999999999956 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.31899999999999695 Order of pole (three term test) 650.9999999999942 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -12.0 TOP MAIN SOLVE Loop x[1] 0.18200000000000013 y[1] (analytic) 3.144654088050316 y[1] (numeric) 3.1446540880503173 absolute error 1.3322676295501878e-15 relative error 4.236611061969595e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31799999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.31799999999999956 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3179999999999973 Order of pole (three term test) 650.9999999999951 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.18300000000000013 y[1] (analytic) 3.1545741324921153 y[1] (numeric) 3.1545741324921166 absolute error 1.3322676295501878e-15 relative error 4.2232883856740933e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31699999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3169999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3170000000000034 Order of pole (three term test) 651.0000000000075 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.5 TOP MAIN SOLVE Loop x[1] 0.18400000000000014 y[1] (analytic) 3.164556962025318 y[1] (numeric) 3.1645569620253196 absolute error 1.3322676295501878e-15 relative error 4.209965709378591e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31599999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.31599999999999967 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3160000000000025 Order of pole (three term test) 651.0000000000059 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -10.0 TOP MAIN SOLVE Loop x[1] 0.18500000000000014 y[1] (analytic) 3.174603174603176 y[1] (numeric) 3.1746031746031775 absolute error 1.3322676295501878e-15 relative error 4.19664303308309e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31499999999999984 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.31499999999999956 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3150000000000025 Order of pole (three term test) 651.0000000000059 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.939024390243903 TOP MAIN SOLVE Loop x[1] 0.18600000000000014 y[1] (analytic) 3.18471337579618 y[1] (numeric) 3.184713375796181 absolute error 1.3322676295501878e-15 relative error 4.183320356787588e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31399999999999983 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.31399999999999956 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.31399999999999595 Order of pole (three term test) 650.9999999999922 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.73076923076923 TOP MAIN SOLVE Loop x[1] 0.18700000000000014 y[1] (analytic) 3.1948881789137396 y[1] (numeric) 3.194888178913741 absolute error 1.3322676295501878e-15 relative error 4.169997680492086e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31299999999999983 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.31299999999999956 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3130000000000014 Order of pole (three term test) 651.0000000000034 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -12.5 TOP MAIN SOLVE Loop x[1] 0.18800000000000014 y[1] (analytic) 3.205128205128207 y[1] (numeric) 3.205128205128208 absolute error 8.881784197001252e-16 relative error 2.771116669464389e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31199999999999983 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3119999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3119999999999984 Order of pole (three term test) 650.9999999999972 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) 1.0e+100 TOP MAIN SOLVE Loop x[1] 0.18900000000000014 y[1] (analytic) 3.215434083601288 y[1] (numeric) 3.215434083601289 absolute error 1.3322676295501878e-15 relative error 4.143352327901082e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.31099999999999983 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.31099999999999967 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3109999999999964 Order of pole (three term test) 650.999999999993 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.666666666666668 TOP MAIN SOLVE Loop x[1] 0.19000000000000014 y[1] (analytic) 3.225806451612905 y[1] (numeric) 3.225806451612906 absolute error 1.3322676295501878e-15 relative error 4.1300296516055804e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.30999999999999983 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.30999999999999966 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3100000000000059 Order of pole (three term test) 651.0000000000132 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.3125 TOP MAIN SOLVE Loop x[1] 0.19100000000000014 y[1] (analytic) 3.2362459546925586 y[1] (numeric) 3.2362459546925595 absolute error 8.881784197001252e-16 relative error 2.7444713168733853e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.30899999999999983 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3089999999999997 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3089999999999957 Order of pole (three term test) 650.9999999999912 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.272727272727273 TOP MAIN SOLVE Loop x[1] 0.19200000000000014 y[1] (analytic) 3.2467532467532485 y[1] (numeric) 3.24675324675325 absolute error 1.3322676295501878e-15 relative error 4.103384299014576e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.30799999999999983 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3079999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3079999999999986 Order of pole (three term test) 650.9999999999975 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.555555555555555 TOP MAIN SOLVE Loop x[1] 0.19300000000000014 y[1] (analytic) 3.257328990228015 y[1] (numeric) 3.2573289902280163 absolute error 1.3322676295501878e-15 relative error 4.0900616227190745e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.30699999999999983 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3069999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3069999999999973 Order of pole (three term test) 650.999999999995 Radius of convergence (six term test) for eq 1 0.01188450164333132 Order of pole (six term test) -12.229885057471265 TOP MAIN SOLVE Loop x[1] 0.19400000000000014 y[1] (analytic) 3.267973856209152 y[1] (numeric) 3.2679738562091534 absolute error 1.3322676295501878e-15 relative error 4.076738946423573e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3059999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.30599999999999955 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3060000000000011 Order of pole (three term test) 651.0000000000028 Radius of convergence (six term test) for eq 1 0.10789468549421115 Order of pole (six term test) -12.68421052631579 TOP MAIN SOLVE Loop x[1] 0.19500000000000015 y[1] (analytic) 3.278688524590166 y[1] (numeric) 3.278688524590167 absolute error 1.3322676295501878e-15 relative error 4.0634162701280704e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3049999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3049999999999995 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.30500000000001026 Order of pole (three term test) 651.0000000000229 Radius of convergence (six term test) for eq 1 0.05542562584220407 Order of pole (six term test) -11.375 TOP MAIN SOLVE Loop x[1] 0.19600000000000015 y[1] (analytic) 3.2894736842105283 y[1] (numeric) 3.2894736842105297 absolute error 1.3322676295501878e-15 relative error 4.0500935938325687e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3039999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.3039999999999996 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3040000000000055 Order of pole (three term test) 651.0000000000126 Radius of convergence (six term test) for eq 1 0.043903637796482264 Order of pole (six term test) -12.264705882352942 TOP MAIN SOLVE Loop x[1] 0.19700000000000015 y[1] (analytic) 3.300330033003302 y[1] (numeric) 3.300330033003304 absolute error 1.7763568394002505e-15 relative error 5.382361223382756e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3029999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.30299999999999955 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.3029999999999989 Order of pole (three term test) 650.9999999999984 Radius of convergence (six term test) for eq 1 0.04993212784675161 Order of pole (six term test) -11.717391304347826 TOP MAIN SOLVE Loop x[1] 0.19800000000000015 y[1] (analytic) 3.311258278145697 y[1] (numeric) 3.311258278145699 absolute error 1.7763568394002505e-15 relative error 5.364597654988754e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3019999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.30199999999999966 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.30199999999999466 Order of pole (three term test) 650.9999999999889 Radius of convergence (six term test) for eq 1 1.0e+100 Order of pole (six term test) -11.857142857142858 TOP MAIN SOLVE Loop x[1] 0.19900000000000015 y[1] (analytic) 3.3222591362126264 y[1] (numeric) 3.322259136212628 absolute error 1.7763568394002505e-15 relative error 5.346834086594751e-14% Correct digits 16 h 0.001 Radius of convergence (given) for eq 1 0.3009999999999998 Order of pole (given) 0.0 Radius of convergence (ratio test) for eq 1 0.30099999999999955 Order of pole (ratio test) 1.0e+100 Radius of convergence (three term test) for eq 1 0.30100000000000304 Order of pole (three term test) 651.0000000000073 Radius of convergence (six term test) for eq 1 0.04525483399593905 Order of pole (six term test) -11.78125 Finished! diff ( y , x , 1 ) = y * y; Iterations 200 Total Elapsed Time 1.0 Seconds Elapsed Time(since restart) 1.0 Seconds Time to Timeout 2 Minutes 59.0 Seconds Percent Done 100.50000000000007%